diff --git "a/data/dm_maths/full_data_2/2070_11255.jsonl" "b/data/dm_maths/full_data_2/2070_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2070_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 22488511 greater than or equal to 22488510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26682, -26841, -26988, -27117, -27222, -27297, -27336?\nAnswer: -27333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i - 25, -4*i = 2*u - 1588. Let z = u - 497. What are the prime factors of z?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 5*r + 6, -b + 3*r = -9. Let s = b + 3. Solve -5*z + 0*t - 2*t = 0, s = z - 3*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) - 1*sqrt(80)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -87513 in descending order.\nAnswer: 12, -1, -87513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 10:55 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 8. Let z(c) = 7 - 2*c + 4 - 34. Give -11*i(y) + 4*z(y).\nAnswer: 3*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 6*r**2 - r + 3. Give s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 0*j**3 + 0*j**3 + (-7 + 3*j**2 + 7)*(-1 + 1 - j) + j**3 + 0 + 4*j**3 + 2.\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2049*s**2 + 6517*s**2 + 1267*s**2 + 3994 wrt s?\nAnswer: 19666*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -122\/98289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 - -126. Solve a*h - 3*h + 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**2 + 4*z - 1. Let v(n) = n**2 - n. Give 3*v(g) + y(g).\nAnswer: 11*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18885755*i**6 - 2*i**5 - 39781918*i**2?\nAnswer: -2266290600*i**3 - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5504\/112 - ((-2)\/(-14) + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 + 4576*f**3 - 9*f**2 + 49807*f.\nAnswer: -12*f**2 + 27456*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -46*l - 4. Let d(h) = h - 11 - 3*h + h - 4. Let k be d(-14). Let g be z(k). Calculate the greatest common divisor of g and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 2\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millisecond in microseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9996423 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -57500000 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7467520805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-14)*(-56)\/100*-5. Sort 1, 2, q, -8 in increasing order.\nAnswer: -8, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4\/4 + 35*y**3\/4 + 65*y**2\/4 - 15*y\/4 - 45\/2 = 0. What is y?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/3 + 8. Let v(r) = 10*r**2. What is d(v(p))?\nAnswer: 100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2068 - 1067\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -64*p**3 + 0*p - p + 0*p + 63*p**3. Let g(k) be the third derivative of k**6\/120 - k**5\/60 - k**4\/24 + 7*k**2. Give -g(d) + j(d).\nAnswer: -2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - r = 2*r - 24, -3*r - 18 = -5*t. Suppose -5*h - 4 - t = 0, 5*u - 4*h - 748 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.496 - 0.62. Round b to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3278 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19060 divided by 9530?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -13. Let q = s - 9. Which is the nearest to q? (a) -4\/5 (b) 0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u**2 - 2*u + 2. Let a(c) = 34*c**2 + 6*c - 6. Give -5*a(v) - 16*t(v).\nAnswer: 6*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16710041.\nAnswer: 16710041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:17 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, z: 2, n: 8, i: 1}. Give prob of picking 2 a and 2 n.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/9 - (-2)\/3. Let s(r) = r**2 + 24*r - 41. Let x be s(-26). Suppose -3*o = p + 6 - 1, -p - 5*o - x = 0. Solve 7*c + y = p*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**4 + 34*w**3 - 207*w**2 + 353*w - 170. Let k(i) = 22*i**4 + 102*i**3 - 620*i**2 + 1056*i - 512. Let z(u) = -8*d(u) + 3*k(u). Factor z(r).\nAnswer: 2*(r - 2)**2*(r - 1)*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 3*a = -22 + 25, -5*t + 4 = -t - 4*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*w + 140*w**3 + 17*w - 24*w + 16 wrt w.\nAnswer: 840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 435154515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - 25\/(-2). Let a be (-3)\/b - 13\/(-4). Suppose 0 = a*t - 4*t + 10. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 65, 33, -43, -163, -327?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-10 - (-12 + -1 + 4) - -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8702254 nanometers?\nAnswer: 0.00000008702254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -269.63 in -5, 0, -0.25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 277629 divided by -141\nAnswer: -1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 7*j**2 + 298*j + 58. Determine s(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*-6*(-1 + sqrt(1088) + 4) + -3*(5*(0 + sqrt(1088)) + 3 + sqrt(1088)*2) + 1)**2.\nAnswer: 11232*sqrt(17) + 793828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1096719 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*w + 2 = 1, -3*q = -5*w - 1. Suppose 4*u - 18 = q*u. What is the remainder when 26 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-5))\/(-4)*(-10)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 26 = -2*l, l + 6 + 4 = 2*c. Let n(q) be the second derivative of -q**4\/12 + 4*q**3\/3 - 7*q**2\/2 + 5*q. Give n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -64934, 1, -2.\nAnswer: -64934, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 20*b - 18. Let v be (4\/15)\/((-28)\/(-10)). What is the nearest to b in 4, 0.4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16206160 is divided by 1157582.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 135419781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10128.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -402901*p**3 - 214687.\nAnswer: -1208703*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030203 - 13?\nAnswer: 1030130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39 and 0.6.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -3055?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 4*y**2 + y + 1. Let x be g(4). Let c(v) = -96*v + 588. Let f be c(6). Suppose x*j = f*j - 301. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -108\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*h - h + 4*y, 5*h + 5*y - 10 = 0. Solve -n - 2*x - 6 = 0, h*n + 6*x = 5*x - 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9660 = o + 433. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394473.\nAnswer: 3, 23, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41143 is divided by 41093.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/129784 and 7\/48.\nAnswer: 778704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 37.4613977\nAnswer: 35.4613977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(832)*1*-5 + (-4*(0 + sqrt(832)) - sqrt(832)) + -6*(2 + sqrt(832)*2 - (-6*((sqrt(832)*-2 - sqrt(832)) + sqrt(832)) - sqrt(832))))**2.\nAnswer: -13376*sqrt(13) + 1611113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42 * -1.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 203891\/9 and 22654 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16079\/9 + -5360\/3. Let z be 214\/(-7)*(-12)\/32. Let c = 47\/4 - z. What is the second biggest value in -1, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*2\/(-3). Let m = 21 + -22. Is 27 - (m - (v - 4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 109*z + 192880 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103260 in -6, 0.1, 14, -1\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 23*x**5\/15 - x**4\/24 - x**3\/3 - 4*x**2. What are the prime factors of l(-1)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434143 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -75*h**2\/2 - 53*h + 39. Does 59 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 6. Let a be f(-6). Let m = 3 - a. Factor -5*b**3 - b - 7*b**2 + 6 + m*b + b**2 + 3*b**3.\nAnswer: -2*(b - 1)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -25 + 9 + 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/7 + 8853981*i**2\/7 + 8853984*i\/7 = 0. What is i?\nAnswer: -1, 0, 2951328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdqq when four letters picked without replacement from qdqqqqqqqqqqqqdqqdqq?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*2\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 10*b**2 - b + 10. Let n be j(-10). Suppose -2*r - 5*u = n, 0 = -4*r + u + 1 + 3. Suppose 4*k - 2540 = -r*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 43*g**2 - 2*g - 1. Let x be y(-2). Let w = 11890 - 11820. Calculate the highest common divisor of w and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 1, 35, 113, 253, 473, 791?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036241 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30511 or -30512?\nAnswer: -30512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 7 = 3*g - 14, 10*n + 116*g - 1548 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406144058 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 = 4*l - 2*g + 12, 5*l + 30 = -8*g + 3*g. Let r = l + 7. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590*c = 583*c + 35. Solve 0 = -2*a - 5*i + 9, i + 6 = -c*a - 2*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1377 - -568.1377. Let o = h - 568.00281. What is o rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(54) - sqrt(17) - (sqrt(17) - 4*sqrt(68)\/sqrt(4)))**2.\nAnswer: 833\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*t**4\/2 - 2271*t**3 + 7632*t**2 - 240*t = 0. What is t?\nAnswer: 0, 2\/63, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2b (base 12) to base 16.\nAnswer: d13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368154 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d9c7 (base 16) to base 7.\nAnswer: 1405450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-14)\/49 - 22\/(-28)). Let f(d) be the first derivative of -1\/2*d**4 + 0*d**2 + q*d + 1 - d**3. Give f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -8132, -13 in decreasing order.\nAnswer: 1.2, -13, -8132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42008029?\nAnswer: 7, 6001147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -0.2, -2\/9, 1\/5, -3.77?\nAnswer: -3.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -10. Let d = 9 + b. Suppose 0 = d*a - 0*a - 8. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3 (c) 0.5109 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 208\/93 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111 - 1010101001101010100?\nAnswer: -1010101001000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 25*a**3 + 15*a**3 + 13*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*h - 23*h + 70*h + 89880000. Round h to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 10*f - 152. Let g = 36 - f. Let n be (g\/5)\/((-28)\/70). Solve 0 = -t - 0 + n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4 = 5*i, -120*i = -3*g - 119*i + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01033983 rounded to 4 dps?\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 466461959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 2. Let t = -19 - o. Let y = 8.0003 + t. Round y to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/448)\/((-2)\/(-7))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.098 at least -5.193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -457*c**3 - 94*c**2 - c + 35681 wrt c?\nAnswer: -2742*c - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 89 in decreasing order.\nAnswer: 89, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572456 is divided by 3360?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 3.6. Let f = 39 - 62. Let z = 22 + f. Are z and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z + 414 = 71*z. Solve -i - z = -3*i - 5*f, 4*i = -f + 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/((-2)\/(-1))*1628\/(-111). Let t = f + 43. Let i(z) = 3*z**2. What is i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + -2 - (-45)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40431 = -22*u - 9110 - 15425. Put -1, -3, u in ascending order.\nAnswer: u, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - o + 68. Let k(d) = d**2 - 14*d - 5. Let x be k(17). Let v = x - 23. Calculate the remainder when n(0) is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 + 119*w - 6*w**4 + 4*w**4 + 31*w**5 + 10*w**5 wrt w?\nAnswer: 820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74596 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.93598ns to minutes.\nAnswer: 0.000000002298933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8490, -68021, -229606, -544275, -1063058, -1836985?\nAnswer: -2917086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f + 78. Let o be i(6). Sort 2, o, 4 in ascending order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 - 4*b**2 + 14*b**2 - 4*b**2 - 3. Let q(p) be the third derivative of 0 - 1\/60*p**5 + 0*p**4 + 0*p + 0*p**3 - 7*p**2. Calculate z(q(s)).\nAnswer: 14*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -2 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 - -129.1. Let g = 5.4 + -40.4. Let a = g + 36. What is the biggest value in a, -2\/11, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 12 + 14 - 16 - (-62 - -59)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p**4\/9 - 898*p**3\/9 - 8680*p**2\/9 - 5578*p\/3 + 120 = 0.\nAnswer: -5, -3, 1\/16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x + 2. Let n(h) = 7*h + 8. Let d(l) = -4*n(l) + 3*u(l). Suppose -3*m + 4*i - 6 = 15, m + 2*i + 7 = 0. Let v be d(m). Solve -16 = v*f + 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 - 14\/7)*(-208)\/(-5). Let u = d - -625. Solve 13 = 6*z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 98, 796, 1948, 3554, 5614, 8128, 11096?\n\"Answer: 227*u**2 + 17*u - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 5. Calculate s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0128199 to 4 dps.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -168\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2487 is divided by 235?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 113, 109, 73, -13, -167, -407?\n\"Answer: -3*p**3 + 2*p**2 + 11*p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k + 47 - 16 = 3*p - 56*k, -13*p = k - 69 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 + 5*p - 9. Let m be u(4). Which is the closest to 0.3? (a) m (b) -5\/6 (c) 1 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a factor of 204259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + 503. Suppose 382 = 6*n - f. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1831?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 605970 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjjojolojj. Give prob of sequence jj.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 5)*((-1 + 2 - 2)*(2*m - 1 + 1) - 9*m + 2*m - 5*m) as i + z*m and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29302493189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l**3 - 251*l**2 - 309*l + 66. What is x(-18)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*q**3 + 425*q**3 - 32*q**3 - 143*q**3 + 12*q**3.\nAnswer: 170*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -5. Calculate the remainder when 16 is divided by ((-12)\/((-6)\/x))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36*(3538\/(-8) - (19 + -24)). Let g = z - -119941. What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69, 66, 463, 1254, 2571, 4546, 7311?\n\"Answer: 22*h**3 - h**2 - 16*h - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 307499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (-3*(sqrt(200)*-1 + -4))**2 + (1*sqrt(200)*-1*-1)**2 + 3.\nAnswer: 720*sqrt(2) + 2146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 135\/2*(-4)\/(-3). Suppose -u = -4*y + 70. What is the remainder when y is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.027 + 22. Let r = -4.027 - i. Which is the closest to -8? (a) -5 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -19*q**3 - 6*q**2 + 6*q - 22. Let u(j) = 19*j**3 + 5*j**2 - 5*j + 21. Let s(v) = -5*o(v) - 6*u(v). Find the first derivative of s(n) wrt n.\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 - 144. Solve 17*x + 18 = i*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 15*c**3 - 8*c**2 + 9*c + 4. Let q(u) = u**2 + 3*u + 2. Calculate g(n) - 2*q(n).\nAnswer: 15*n**3 - 10*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 183264359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + o + 10 - o. Let t be p(-5). Let k(r) = r**2 - 4*r + 4. Is k(t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1234910.6 * 0.07.\nAnswer: -86443.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/5 + 1168*i**2\/5 + 224808*i\/5 + 14290272\/5 = 0. Calculate i.\nAnswer: -236, -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 5, f: 8}. What is prob of sequence aaa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 6*a - 5. Let c be f(7). Suppose -2*s + 13 = g, 2*s = -c*g + 2 + 8. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -8. Let g be 48\/56*3*h. Suppose 4*t - 122 = g. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:52 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4360058385 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 74 = -5*m, -4*m + 1531 = -5*f + 1346 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111024, -111023, -111022, -111021, -111020?\nAnswer: -111019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 366 - 116. Let y = m + -106. Calculate the remainder when y is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 23 - 17 - 15 - 5*y**2)*((-2 - 1 + 1)*(-2*y - 4*y + 4*y) - 1 + 1 - 3*y - 1 + 1 + y).\nAnswer: -2*y**5 - 10*y**3 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - ((1 - 1) + -5)) + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 5*y + 5. What are the prime factors of n(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 + 2*v + 5. Let a(q) = -q**3 - q**2 - q - 2. Give -2*a(d) - l(d).\nAnswer: 3*d**3 + 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -57914.54?\nAnswer: -57899.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/419?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24107571, 24107549, 24107527, 24107505, 24107483?\n\"Answer: -22*h + 24107593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:34 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-963)\/(-856))\/((-165)\/(-20))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o. Let z(g) be the second derivative of -3\/4*g**4 + 0*g**2 + 2 + 0*g**3 - 51*g. Give v(z(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437520 and 14880?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -7\/6 (c) -5 (d) -26 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63517174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/27)*o**4*o*o\/((o\/(o*(o\/o**(2\/5))\/o*o))\/o*o)*o\/o**(4\/9))**32)**1 assuming o is positive.\nAnswer: o**(31232\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 - 119 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 1 - 22*15\/(-138). Do 0 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c - 30 = 0. Let a(x) = -36 - 21*x**2 + 8*x**2 - 8*x + 0*x + 8*x**2 + 6*x**2. What are the prime factors of a(c)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*f**2 + 4*f**2 + 27 - 2 with respect to f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-266)\/190)\/(-3*1\/(-5))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.19 - 4.4. Let o = 0.01 + p. Let w = 0 + 0.2. Which is the closest to 2\/5? (a) w (b) 2\/13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, 16, -5, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 7*w**2 + 15*w - 2. List the prime factors of h(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 26 = 5*v. Let c = -5902 - -436769\/74. Let t = c + 1742\/185. What is the common denominator of v and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528900.\nAnswer: 2, 3, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12400 + (4 + -16 + 9)*5\/3?\nAnswer: 5, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a*a)\/a**(1\/8)*a**(-8)*a*a*a**(-3\/10) assuming a is positive.\nAnswer: a**(143\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 37. Suppose -162 = -q - j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -12 + 2. Let w be (d - (-5 + 4)) + 23. Suppose -2*k = z - 16, k + 4*z + 0*z - w = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/5, 147\/13, -0.83, 1 in ascending order.\nAnswer: -0.83, 1, 13\/5, 147\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 118*i**4\/9 + 1456*i**3\/9 + 5318*i**2\/9 + 5180*i\/9 + 400\/3 = 0.\nAnswer: -6, -5, -1, -20\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f + 187 = r, 32*f = 2*r + 31*f - 26 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + -10 + (-1)\/(-1). Suppose b + 2*d + 2*d - 14 = 0, 2 = -c*b + 4*d. Find the third derivative of u**b - 6*u**6 + 2*u**2 + 0*u**2 - 4*u**6 wrt u.\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17369352 a multiple of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-4))\/(21*(-20)\/(-336)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*h - 14, -2*d - 29 + 26 = h. Which is the closest to -6? (a) 29 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -100. Calculate the least common multiple of 726 and b.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150626 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001362537 to 7 decimal places.\nAnswer: 0.0001363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(3*(1 + sqrt(500) + -1 + (sqrt(500) + 1)*1 + sqrt(500))*-1)**2.\nAnswer: 16200*sqrt(5) + 1215270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trkttkrtktxkr. Give prob of sequence xr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 7:10 PM?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 297 + 0 + 0 + -1. Suppose 2*i + 2*i = q. Let y = i + -40. Calculate the greatest common factor of y and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376266 is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215818 - -215817.99. Let v be (-2 - (-35)\/17)*2. Which is the closest to o? (a) v (b) -1\/5 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -1551\/7. Put 0, y, -3\/5 in decreasing order.\nAnswer: 0, y, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*k**3*w - 43*k**3 + 2*k**2*w - 1305*k*w wrt k?\nAnswer: 168*w - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 1\/2*v**2 + 0 + 1\/3*v**3 + 1\/12*v**4 + 14*v. Find q such that p(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.090112mm to micrometers.\nAnswer: 3090.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 12*k + 8. Let m(n) = n**2 + 3*n - 2. Let i(f) = -9*m(f) - 2*u(f). Is i(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35.11 and -613.754?\nAnswer: 648.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 23575772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 998*c - 2091*c + 1013*c + 4 - 49*c**4 wrt c.\nAnswer: -588*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 7}. What is prob of picking 3 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1165*d**5 - 186*d**2 wrt d?\nAnswer: 69900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 22 = -120. Let u be (4329\/(-72))\/1 + 3\/24. Does 4 divide (0 + u\/(-35))*a\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -4*l - 2*y, 7*l = 2*l - 5*y + 300. Calculate the greatest common divisor of 93 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179883509 or 719534033\/4?\nAnswer: 719534033\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3317227 is divided by 3080?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 45*r - 49*r + 56, -32 = -2*r + 3*t. Calculate the remainder when 129 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 368 = 338. Let f be 48\/(-240) + 2 + 14\/p. Let j(o) = o**2 - 6*o - 1. Let d be j(7). Sort d, f, -2.\nAnswer: -2, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, 1, 3, -5 in increasing order.\nAnswer: -5, 1, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 39*z**3 - 18*z**2 + 32*z - 190. Is q(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2353718.79 to the nearest one thousand.\nAnswer: -2354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100651 + 100649.99053. Let m = -1.01 - z. What is m rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1 - 1) + -7. Let w be b\/(-6) + 4\/6. Differentiate -w - d - 2*d + 2*d wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17855225548062 - -94.\nAnswer: -17855225547968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 22*t**2 + 6*t + 6. Calculate j(-11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -51. Suppose -24 + 0 = -j*p. Let z be p - ((2 - 2) + -64394 + -3). What is z rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1)**(-45)\/(l\/(l**(-2\/5)*l))**(2\/9))\/((l\/(l\/(l*l**1)*l))\/(l*l*l**(-2\/5)))**29 assuming l is positive.\nAnswer: l**(779\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1766, 3584, 5398, 7208?\n\"Answer: -2*t**2 + 1824*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 412365?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/7 and 17\/46563353.\nAnswer: 325943471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 2. Let c(d) = 3 + 0 - 3*d - 5. Let u(m) = m**3 + 7*m**2 + 4*m - 10. Let f be u(-6). Let l be (-3)\/((6\/(-5))\/f). Give l*g(x) + 4*c(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 3648?\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45951 and 6273?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -840, 0.22, 2\/75, 2 in ascending order.\nAnswer: -840, 2\/75, 0.22, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and -0.3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 4. Suppose 5*c - 5*g - 1198 = 377, j = -4*g. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-2)\/7 - 485\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -88. Let k = 12 + -3. Calculate the greatest common factor of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*j + 1208, 347 = -3*q - 4*j - 855. Let l = -2398 + 3519. Let v = l + q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108*i*w**4 - 2*i*w - 28*i + w**5 - 2*w wrt w?\nAnswer: 1296*i*w**2 + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15965 or -15964?\nAnswer: -15965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 63 = -7*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**2\/2 + 6. Let f(p) be the first derivative of 63*p**2 - 364. Give a(f(y)).\nAnswer: 126*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3 (c) -1\/693 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvmv when four letters picked without replacement from mvmmdmvdv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 5*z + 4 to the form f + d*z and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:55 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((((y\/y**(-22\/5))\/y)\/y*y)\/y))**(-21))**2 assuming y is positive.\nAnswer: y**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-498)\/(-4))\/(555\/296). Suppose 122 = 4*z - 142. Let r = z - n. Is 2\/9 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2173, 2181, 2199, 2233, 2289, 2373, 2491, 2649?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045232 (base 6) in base 14?\nAnswer: 3b47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/5 (c) 17\/4 (d) -0.5 (e) -2 (f) 138.65 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5996 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061503451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d**3 + d + 1. Suppose -4*f - 2*x + 4 = 0, x - 20 = 6*x. Calculate the remainder when g(-1) is divided by (-2)\/(-6)*72\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-12))\/(1 - (-4)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (-2)\/4*6. Let n(f) = f - 6 + 0*f + 0*f. Let d be n(g). Which is the nearest to -0.1? (a) 1\/6 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 - -7.01. Let j = g - 1.61. Let k = -89 - -60. Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211\/45 + 44\/9. Sort 3, -4, d.\nAnswer: -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r. Let o be q(0). Is o at most as big as -2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25500b - -b8?\nAnswer: -254c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 794*k - 789*k. Calculate the remainder when 122 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228048 and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - 13\/(-5). Suppose -3*z + 23*z = 0. Suppose -5*k + 7 = -3*c, z*k = m*c - k - 13. Solve -6 = 4*p - c*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00597620176 to 5 decimal places.\nAnswer: -0.00598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -7*f - 18. Suppose -f*n + 62 = -46. What is the first derivative of -5 - 124*p + n*p**2 + 124*p wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkekkpebbbbkpe. What is prob of picking 2 e and 1 p?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 30. Suppose -4*y = -2*s + 3*s - o, 3*y + 14 = 5*s. Suppose 2*b = b + s. Solve -4*j - 4 = 4*f, -3*j = -2*f - 2*j + b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -9.6. Let s = 2.4032 + u. What is s rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, k: 15}. What is prob of picking 1 g and 1 k?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*f - 4 = -109*f - 107*f. Suppose -45 = 4*r + r. Let s = r - -4. What is the closest to f in -3, -0.05, s?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(588)*2*-5 + sqrt(588) - sqrt(588)))\/(((sqrt(24)\/sqrt(2))\/sqrt(3) + sqrt(4))*1*4).\nAnswer: -175*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (28644\/1736)\/((12\/(-18))\/((-312)\/54))?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -866?\nAnswer: 14722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.9 - -7.91. Let u = -42 - -41.49. Let r = w + u. Put 5, r, -0.2 in increasing order.\nAnswer: r, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -18*12\/9. Suppose -r*t + 106940 = -38397. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 3\/8 (c) 2 (d) -2 (e) 0.157789\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -6 (c) 26 (d) -0.1 (e) -97 (f) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23298 by 6.\nAnswer: -3883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 7:36 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + 0) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67642156909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 166842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 2, h: 3, m: 1, t: 2, i: 6}. What is prob of sequence tp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 163, 392, 745, 1240?\n\"Answer: 3*o**3 + 35*o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -9 - 51. Solve -4*j + 2 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23.9 in -13, -0.4, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100)\/36 - 6\/27. Let b(y) = -4*y - 7. Let m be b(c). Let r(i) = 5*i - 9. Calculate the lowest common multiple of 4 and r(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 + 24. Let t(q) = -46*q + 433. What is the remainder when t(8) is divided by j(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - -467\/4. Let k(h) = -4*h**3 - 4 + 2 - 4*h + 6*h**2 + 2*h**3. Find the common denominator of k(4) and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3103 - 1132?\nAnswer: -10301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 1 + (-5 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {z: 1, f: 1, n: 1, k: 4, c: 11}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from kmmkmkkmmkkkkk?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 532\/91 - -3 - (-5)\/((-15)\/27)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, j: 11, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2 + 14093574*j**2 - 14093594*j**2 - 2*j to the form a*j**2 + n*j + t and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/59, 2\/13, 0, 1\/1101, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -301535, -2, -1 in ascending order.\nAnswer: -301535, -5, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -201205577171370 minus -3?\nAnswer: -201205577171367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1482 = 13*a - 0*a. Let b be (3 + (-14268)\/(-8))\/(a\/(-8)). Let m = -126025\/1026 - b. Calculate the common denominator of m and -45\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-1*3*1 + (sqrt(17) + (sqrt(136)\/(sqrt(8)*-2) - sqrt(17)) - sqrt(68)\/sqrt(4)*1) + 1)**2.\nAnswer: -27*sqrt(17) + 12397\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15450725, -5 in decreasing order.\nAnswer: 0, -5, -15450725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4. Let x(l) be the second derivative of 3*l**3 + 57*l**2\/2 + 84*l. Let d(w) = 78*o(w) + 6*x(w). What is the derivative of d(m) wrt m?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 877390 and 9.1?\nAnswer: 7984249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7773b2 + 1?\nAnswer: 7773b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062834 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 18 = -2*h, 0*d + 5*d = 3*h - 129. Let n = -31 - d. What is the tens digit of 4 + -1 + n - -56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.4713kg in grams?\nAnswer: 64471.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 105018+0.0639939\nAnswer: 105018.0639939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aavv when four letters picked without replacement from {a: 3, v: 17}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 1. Suppose 5*n - 15 = -5. Let g(m) = 4*m - 3. Let x be g(n). Let k be x\/2*-2 + 2. Determine i(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144477, 290200, 435923, 581646, 727369, 873092?\nAnswer: 1018815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22703 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 95, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -521\/18 - -29. Let v = l - 23\/9. Let o = 4 - 3.6. What is the smallest value in -1\/9, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275016 is divided by 12422.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -80. Suppose 60*f - 55*f = u. Solve f*y - y = 3*m + 4, -3*y + 8 = m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142452 - 0?\nAnswer: 142452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -6.\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 9. Let k(i) = -2*i. Determine k(x(u)).\nAnswer: 2*u + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1614 and 98.\nAnswer: 79086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 3*s + 33 - s**2 - s**4 - 70 - 4*s as l*s**3 + z + d*s**2 + x*s + v*s**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155124112 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 3)*(3*d - 2*d + d) + 2*d + 4*d - 4*d + 32*d + 20*d - 13*d.\nAnswer: 51*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, 0, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 806919847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2295 + 7117*s**3 - 2295.\nAnswer: 7117*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53521 divided by -179.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.088 + -35.412. Let s = -36 - l. Suppose 0 = -3*v + 2*v + 1. Which is the closest to -2? (a) v (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-1 + 3))*-1. Suppose a - u*h = -8 - 8, -5*a + h = 4. Differentiate a + o + 2 - 1 with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/24 + l**4\/24 + 2*l**2. Let c be z(1). Suppose 0 = 4*u + 2*h - 124, -4*u - 4*h + 116 = -c*h. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.07 - 0.07. What is the biggest value in 0.1, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 920*y**3 - y**2 - 9*y + 11. Is b(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21422244.\nAnswer: 2, 3, 17, 173, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + 2 + sqrt(11)))**2 + -2.\nAnswer: 8*sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/495 and 145\/36.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3258 - -3257. Let w(d) be the third derivative of d**6\/120 - d**5\/120 + d**3\/3 - 3*d**2. Let j(l) be the first derivative of w(l). Give j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 - 3*a**3 - 2091*a + 2*a**2 + 5*a**2 + 1965*a in the form z*a + u + l*a**3 + m*a**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4331, -8765, -13199?\n\"Answer: -4434*v + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**5 + o**5 + 5*o**5 + (2 - 2 - 1)*(-14*o**5 + 57*o**5 + 20*o**5).\nAnswer: -61*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.257706 to one dp.\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 978912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17173b7 (base 13) to base 6\nAnswer: 424041241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65122.\nAnswer: 2, 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 0.0995964\nAnswer: -0.000995964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636840 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kij when three letters picked without replacement from kkimjjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 4*v = -52, -3*h + 17*v + 11*v + 42 = -11*v + 42*v for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.02, -278\/3, -3, -0.5, -59?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1, -25, -1\/10, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 78 (b) 12 (c) -0.071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - f**2 + f + 22. Calculate p(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803651 divided by 3?\nAnswer: 601217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6 and 25\/1092?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/4*s - 19\/2*s**4 - 21\/2 + 5\/4*s**5 + 3\/2*s**3 + 26*s**2 = 0. What is s?\nAnswer: -1, 3\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179728619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 11*o**5 + 6646*o**4 - 5458*o**3 - 7856*o**2 + 5447*o + 1210 = 0.\nAnswer: -605, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23083 at most 1638788\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1147 - -1142. Sort n, 4, -2, -8 in descending order.\nAnswer: 4, -2, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 262484 = 4*l, 231105 = 4*y - 2*l + 21123. What are the prime factors of y?\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4479, 17231, 38259, 67563, 105143, 150999?\n\"Answer: 4138*i**2 + 338*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbub when four letters picked without replacement from {b: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6497 + -6497.4. What is the nearest to -0.02 in q, 2\/5, -6, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -88*j**3 - 2876*j**2 - 8*j - 48. Let b(w) = w**3 - w**2 + w + 6. Let x(i) = 8*b(i) + d(i). What is the third derivative of x(m) wrt m?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.352174173 - 6?\nAnswer: -4.647825827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o + 9. Let i(n) be the second derivative of -2*n**3\/3 - 89*n - 3. Calculate i(z(f)).\nAnswer: 24*f - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 46 + 3\/2*u + 3*u**2 + 3\/4*u**4 + 5\/2*u**3. Solve v(q) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 - 297 = 5*c - 2*h, -3*h = c + 12. Solve u - c*z = -3, 3*u = -2*z + 30 - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*w**3 - 3*w**2 + 161*w + 21020.\nAnswer: -33*w**2 - 6*w + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3106 + 3065 + (3 + -1 - (-1 - -7))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 3, -5\/2, -0.5, 3\/22, 4?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*p + 7, 5*c - 3*p + 102610 = 102653 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313066, -313048, -313018, -312976, -312922?\nAnswer: -312856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47272 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 9*z**2 - 3*z + 11. Let r be i(-5). Suppose 0 = a + 4, a = 5*b + 2*a - r. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 19266629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-3\/5))*n)**(3\/13)*(n**(-1\/4)\/n)\/(n\/(n*n\/(n*n**(-4\/3))*n)))**(-3\/47) assuming n is positive.\nAnswer: n**(-917\/12220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -27. Suppose 7*u - 15*u = 16*u. Put u, v, 3, 1 in descending order.\nAnswer: v, 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v - 273 = 4*r, -2*r = 4*v - 208. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*8\/6. Let v = 7\/4 + g. Let h = 155\/152 - 9\/8. What is the nearest to v in h, -5, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = 4*d - 3244, 16 = -4*d. What is q rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w + 7. Let a(y) = -25*y + 20. Let g(h) = -4*a(h) + 11*z(h). Calculate g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -528.47 to zero decimal places.\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r + 32. Let d(v) = 463*v. Determine d(k(w)).\nAnswer: 3241*w + 14816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 4*t = 4*m, 3*t - 8*t = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 18*y - 229 = 5*q, -4*y - q = -290. Let a = -43 + 13. Let o = a - -67. Calculate the remainder when y is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/58 - 31\/116. Let t = 1.3 - 0.3. Let s = 3 - 3.4. Which is the nearest to t? (a) s (b) k (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 51. Let u(z) = -4*z + 15. Let y be u(3). Calculate the greatest common factor of y and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o - 1. Let x(q) = -2*q**2 + 3*q - 3. Let l(z) = -3*n(z) + x(z). Let i(w) = 7*w**2. Calculate i(l(f)).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + -0.26. Which is the nearest to l? (a) 2\/7 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*s + 10, -3*s + 6*s = 3*o - 21. Solve -2*n - 35 = o*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 1\/6, 110\/3, 33, -2\/9 in ascending order.\nAnswer: -23, -2\/9, 1\/6, 5, 33, 110\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -481\/5? (a) 423 (b) -2 (c) 4 (d) 2 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -9.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 18 = 5*n. Let p be 2 + 2 + (n - 22). Solve p = -m - 3*b - 8, -7*b = -4*m - 3*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*c - 32, -3*c - 2*u - 2*u - 25 = 0. Sort 5, c, -5, 0 in descending order.\nAnswer: 5, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 65 (c) -447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68642 plus -201.55?\nAnswer: -200.86358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 5*i. Let l be k(6). Let r = 4 + 2. Let y = l + r. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 i when three letters picked without replacement from tittitti?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06036 rounded to 3 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-10) - (40 + -19 + -15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = -0*q. Let b(a) = a**3 - 18*a**2 + 32*a + 3. Let l be b(16). Suppose 6*p = 3*p + l, -q*i + 3*p + 15593 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17174 (base 14) to base 10.\nAnswer: 57922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6\/67, -2, 1\/9, 5.\nAnswer: -2, -0.3, -6\/67, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 2)\/(2 + -4). Let s(q) = -12*q. Let a be s(-1). Solve d = -2*h - h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 4*q - 3. Let c be s(-2). Is c at least -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3 (c) 2393 (d) 2\/11 (e) 0 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 4*o**3 + 18*o**2 + 14 - 5*o**3 - 9. Let q be l(18). Calculate the greatest common factor of q and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 336 - 166.2. Let h = x - 127. What is h rounded to zero dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 2.76. Let s = 4.04 - y. Which is the nearest to 1\/2? (a) s (b) 4\/13 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(m - m + m**2) + (-26*m + 51*m - 15*m)*(5*m + 0*m - 3*m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l + 264. Let b be n(21). What is the highest common factor of b and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3125.935 and 0.1.\nAnswer: -312.5935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1467316 - 1467316 + 11*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x - 1. Let y be s(3). Suppose -2*l = -4*m + 164, 0*l = y*l. Let o = 75 - m. Round o to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 + 11008*w**2 - 22012*w + 33016\/3.\nAnswer: -4*(w - 8254)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(18))\/(sqrt(45)*-4).\nAnswer: -sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*h + 4*h - 2530812. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -5\/6*n**3 - n**2 + 13*n + 0*n**5 - 1\/40*n**6 - 1\/12*n**4 + 0 - 1\/210*n**7. Find the second derivative of a(i) wrt i.\nAnswer: -12*i**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 5. Let t be (12\/(-10))\/(4\/(-30)). Let f be r(t). Solve 4*v - f = 0, w + v = -w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 + 124. Suppose -4*a - u*g = -g - 1284, 5*g = -3*a + 963. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h - 34. What is z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264 + -265. Sort m, -0.394, 2\/3, -0.2 in decreasing order.\nAnswer: 2\/3, -0.2, -0.394, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8 - (-441)\/(-36). List the prime factors of (3 - k\/(-3))*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 226?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 25, 1\/2, 4\/3, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 363 = 17*i. Let x = i + 517. Calculate the greatest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 287 + 630 - 3*r**2 - 917.\nAnswer: -3*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.0666, 2, 0.3, 5, -130?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1585 or -1719?\nAnswer: -1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2 + (-1)\/2. Suppose -9*z - 33 = 12. Let w = x - z. Solve -w*b - 10 = -5*f + 27, -4*f = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 517*a**2 - 3*a. Let z be n(1). Suppose 82 = 3*m + z. What is the units digit of (5 - 4)\/(-1 + m\/(-142))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n - 1. Let u be i(3). Find the third derivative of j**5 + j**2 - 2*j**5 + u*j**2 + 4*j**5 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (656 + 648 - 2729*w - 1304)*(3*w**4 - 3*w**2 + 3*w**2).\nAnswer: -8187*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/5 - (-2 + 0). Let c(b) = -b + 4. Let o be c(3). Is o bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Let d = 9 - 5. Suppose b = d*w - 33 - 103. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/223 - 5783\/669. What is the nearest to -1 in d, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x - 13*x + 3*x**2 + 0*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 7*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 + 141. Solve -c*f = -2*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -2, -214, 4 in descending order.\nAnswer: 4, -2, -44, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 6*w**2 - 6*w - 2. Let p be x(5). Suppose 0 = -f - f + p. Suppose d + 8 = 2*d - q, 5*d - f = -q. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*x**2 - 24 + 165*x**2 - 306*x**2 - 14 + 38.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from guwwurruggurguggg.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b + 11. Let m(y) = -5*y - 10. Let l(g) = 5*m(g) + 6*w(g). Let z be l(14). Solve -6*q - 5*o + 19 = -2*q, 2*q - 8 = -z*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14918 = -s + 6517. Suppose 2*r - s = -6635. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30298, -30296, -30294, -30292?\n\"Answer: 2*b - 30300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 48. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 = y + 3, -2*y - 13 = -3*t. Let z(c) = 149892*c**2 + 9*c - 1. Let g be z(y). What is g rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c**2. Let t(a) = a + 2. Let v(d) = 6*d + 11. Let w(i) = 11*t(i) - 2*v(i). Determine w(u(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 9*q + 10*q + 8 = 0, 2*z - 2*q + 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/7))**(-2\/89)\/(h**26*(h\/((h**(-3\/8)*h)\/h))\/h) assuming h is positive.\nAnswer: h**(-131533\/4984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63.11 times 3149\nAnswer: -198733.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 12:06 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 419134*q - 419613*q + 11496 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 2028004?\nAnswer: 22308044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43016438*c**3 + 466815428*c wrt c?\nAnswer: -258098628*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - 7*c)*(43 + 45 - 1 + (-1 - 2 + 1)*(2 + 1 - 5)).\nAnswer: -455*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 27*s**2 - 28*s + 28. Give b(-28).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 105*l - 31. Let b(c) = 51*c - 16. Let h(y) = -5*b(y) + 3*k(y). Differentiate h(u) wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401 smaller than 2403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 + 2*z**2 + (z + 2*z - 5*z)*(3*z - 5*z + 4*z))*(-2*z + 4*z + 0*z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006030903 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.49 at least 80549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1\/10)*s*s**(10\/7) assuming s is positive.\nAnswer: s**(247\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 9*d)*(-2*d**2 + 0*d**2 + 0*d**2) - 3*d**3 + 0*d**3 + 0*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*g**5*o - 3*g**2*o - 6*g*o - 386 wrt g.\nAnswer: -840*g**3*o - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(11\/(-13)))\/((638064\/4642)\/252)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = c + 5, -15 = 5*h. Let w(a) = a**3 - 9*a**2 + 24*a - 122. Let s be w(8). Solve 10 = -4*p + 2*q - c, p + s = q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 0, 1\/4, 54\/23, -5, -6, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1708667220 to the nearest one million.\nAnswer: -1709000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -66. Let d = 44 - u. What is the remainder when 41 is divided by 2\/8 - d\/8*42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*a**4 + 2 - a - a**3 + 331*a**4 + 2*a**2 - 6*a**2 to f*a**3 + y*a + h + d*a**2 + j*a**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2603 and 380.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/24 and 163\/6132.\nAnswer: 12264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 34?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 954822 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 6:04 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468 = -501*j + 1470 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -81, -91, -69, -3?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(6)\/sqrt(2) + 3 + (sqrt(21) + (((sqrt(252) - 1*sqrt(252)) + sqrt(252) - sqrt(252))\/sqrt(12) - sqrt(21)))\/sqrt(7) + 0.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 14) in base 6?\nAnswer: 41224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 50 = w - 40, 10 = -5*o - 4*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544777929 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 430411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 15. Let w be k(10). Let r be (7\/(-35))\/((-6)\/(-5)). Which is the second biggest value? (a) w (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(60\/108*3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51811 and 0.06?\nAnswer: 3108.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -19. Suppose 0 = 2*z - 2*g + 10, 4*z - 2*z = -2*g - v. Suppose -o + 18 = -4*y - 0*o, -2*o = -5*y - 21. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 8*n**2 + n - 78. Let d be v(5). Solve -10*l + 11*l - 3*q = 3, 4*l = 5*q - d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -17) + (61 - 71) + 45.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1478 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*n**5 + 2*n**4 + 16*n**2 - 19561*n?\nAnswer: 3660*n**3 + 24*n**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/(6\/(-12)). Find c such that d*c**2 - 40*c + 500 = 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -1.25 (c) -71 (d) -2 (e) -0.07 (f) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 152*i**3 - 1216*i**2 - 7040*i = 0.\nAnswer: -44, -4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 17*c**5\/60 + 5*c**3\/6 - 2*c**2 - 291*c. Let x(g) = 3*g**2. Give x(b(j)).\nAnswer: 867*j**4 + 510*j**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 1 + 1 + (g + g - g)*(0 + 2 + 0) + 2*g + 1 - 1 + 1 - g - 1 + 3*g - g + 0*g + (0*g + 4*g - g)*(2 + 4 - 2) as u + n*g and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*w**2 + 233 - 158*w**2 - 287 + 79*w**2 + 3*w.\nAnswer: 3*w**2 + 3*w - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 8*v + 5*v - 15*v.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -45. Let g(m) be the first derivative of -m + 0*m**4 - 2\/5*m**5 - 3 + 0*m**3 + s*m**2. Find the first derivative of g(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from ffiiifiiii.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 46271798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*33\/(-2). Let c(l) = -l**2 + 37*l - 72. Let a be c(32). Calculate the highest common factor of a and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 - 76*d - 73*d + 149*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 61. Let g be s(13). Suppose -4*c = g*c - 1508. Calculate the remainder when c is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by 7581.\nAnswer: -232\/7581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 64 (b) 0 (c) -1.73 (d) -2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -787*p. Let j(y) = 1868*y**2 - 2*y - 2. What is o(j(f))?\nAnswer: -1470116*f**2 + 1574*f + 1574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -9. Let s = 0.3 + -0.4. Let k = s + -0.1. Which is the smallest value? (a) r (b) 3\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25264684 + -3?\nAnswer: -25264687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 22*y + 93. Suppose 41*m - 119 = 34*m. Let h be d(m). Calculate the highest common divisor of h and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 92.323, 4, -2\/21, -3\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 6 - 9. Let p(d) = s - 7*d + 2*d + 2*d + 2*d. Suppose 3 = -3*y + 4*y. Give p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 85, 202, 375, 610?\n\"Answer: z**3 + 19*z**2 + 3*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 1. Let p = -3 - -2. Let z be g(p). Suppose 4*b - 30 = z*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2464*h**2 + 2465*h**2 + 2536*h**2 - 7464*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:47 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -7*x**2\/2 - 6*x - 13. Let a(r) = 8*r + 7. What is 5*a(t) + 6*b(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -18. Let d be 2\/(-3) + (-16)\/(-6). What is the least common multiple of m\/(-4) - d\/8 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233033 (base 4) to base 9.\nAnswer: -4128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 19*i**2 - 18*i + 13. Suppose 2*j - 4*s + 3 = -37, -2*j = -s + 37. What is h(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**4 + 3*z**3 - 13. Let y(c) = -13*c**4 - 2*c**3 + 14. Let j(s) = 2*n(s) + 3*y(s). Differentiate j(w) wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966585?\nAnswer: 3, 5, 64439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 15 = -2*f. Let u = 19 - f. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -113*g**2 + 12*g - 44. Let o(q) = -333*q**2 + 33*q - 128. Calculate -4*o(a) + 11*s(a).\nAnswer: 89*a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = -l. Let i = l - -9. Let d(a) = 2*a**2 - 7*a - 2. Does 10 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 28 + (-22 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-350)\/(2\/40*(-5)\/(-2)). What is z rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tautljtuutt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*p = -1655, p - 3*p + 1658 = 4*b. What is the highest common divisor of 78 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 15 - 15 + 30. Let b(o) = 18*o**2 - 27*o. Let r(m) = m**2 - 3*m. Let c(s) = b(s) - 9*r(s). Give c(i(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (43 - 42) + (-12)\/(-2). Suppose 3*q + u = 19, -y*u = 3*q - 3*u - 31. Solve 4*d + 5*n = 30, 5*d - 4*d = q*n - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 6. Let u = 32\/231 - -11923\/2310. Find the common denominator of u and 97\/(-12) + 6 + t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20858+-103\nAnswer: 20755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 38. Let b = -37 + o. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55069 - 4846019\/88. What is the common denominator of s and -11\/20?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389324?\nAnswer: 2, 3, 115777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111*i**2 + 1217895*i - 32916.\nAnswer: -3*(i - 10972)*(37*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t*w**4 - 170*t*w**2 - 27*w**4 wrt w?\nAnswer: -48*t*w - 648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2851 - 2851 - 10*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 2.8. Let l = 2 + z. Suppose -9*k - 259 = -223. What is the third biggest value in k, l, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 36*y**2 + 275*y - 312.\nAnswer: (y - 1)*(y + 13)*(y + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 - -239. Let j = -0.3 + -9.7. Let n = h - j. Which is the closest to -2? (a) 4 (b) -4\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -61. Suppose d*x = 44 - 20. Solve m = -2 + x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Solve 0 = q*c - 3 + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 30 = -10*l, -5*l - 280 = -2*r. Calculate the remainder when 530 is divided by r.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - 303\/(-12). Suppose 0 = -4*u - 5 + m. What is j in -4*j**2 - 8*j**3 + 7*j**4 + 3*j**4 + 6*j**2 - 4*j**u = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.64148451 rounded to two decimal places?\nAnswer: -10.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w + 5*z, -w + 3*z - 35 = 4*w. Let c be (26 - 0) + w\/(-1). Calculate the highest common divisor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*u + 2623*l**3 + 6*l**2*u**2 + 32*l*u**2 wrt u.\nAnswer: 3*l**3 + 12*l**2*u + 64*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 3 + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 276.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-10))\/((-6)\/15). Suppose 6*r - 12 = z*r. Suppose -r*o = -41 - 22. Calculate the highest common factor of 168 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -21*o - 3*f, -6*o + 5*o - 1 = -3*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 + 3)\/(1\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82*(32 - 693\/22).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1223000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -110.47. What is d rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:36 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h, s + 2*h + 0*h = 538. Calculate the remainder when s is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmmmmmmimim. What is prob of picking 4 m?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*z - 276*z + 25*z + 89*z + 84*z.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -72\/55, -22, 2, 1\/2, -1\/10 in descending order.\nAnswer: 2, 1\/2, -1\/10, -72\/55, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 6*g + 2. Suppose 2*q = -q - 30. Is f(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 greater than 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/((-7)\/350). Let z be (5860\/t)\/((-4)\/10). Suppose 0*c - z = -2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -1778, -4004, -7122, -11132?\nAnswer: -16034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066 plus -1143160?\nAnswer: -1143160.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g, -5*p - 3*g = -19 + 1. Suppose 7 + 6 = 3*o - l, -p*l = 3*o - 33. Suppose 5*d + o*d = -297. Is d greater than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*1650\/225.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-5 - sqrt(891))*-5.\nAnswer: 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493135 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23981.96 - -23982. Which is the closest to i? (a) -0.5 (b) 17 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*w - 0*w. Let u = w - 4. Let c(h) = h - 1. What is the units digit of c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.013 from -0.499.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**9\/362880 + w**8\/120960 - w**5\/30 + 3*w**2. Let i(t) be the third derivative of g(t). Factor i(p).\nAnswer: -p**2*(p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 26 - (276 + -356) - 4.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = -2*p - 22, 4*k = -3*p - 23. Let b = p - -12. Suppose 3*q = -4*a - 4, 2*a + b - 1 = 0. Solve -i + 2*i + 4 = q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 3.9, -1.3, -3, 5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**2 - 5*f**2 - 27*f**2 + 18*f**2 - 14*f**2.\nAnswer: -58*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n**5\/8 + 33*n**4\/8 - 751*n**3\/4 + 237*n**2\/4 + 821*n\/8 + 165\/8 = 0. What is n?\nAnswer: -15, -1\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (103 + -104)) + -1 + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 3*a**4\/4 - 5*a**3\/3 - 3*a**2 - 12*a + 4917. Determine o(-3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 = -2*u, -3*u = 3*d + u - 43. Let x = -14 + d. Solve 0 = 2*l - x*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120\/173 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q - 2. Let z = 317 - 310. Give u(z).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3570\/(-1530)*(-9)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*h - 2*b, -6*b + 9 = -3*b. What is the common denominator of 41\/2 and -5 + 2\/h*11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/92 (b) 2.7 (c) -544\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*n**2 + 3*n + 81*n**2 + 11*n**5 wrt n.\nAnswer: 220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78841515217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4\/3 - 3968*h**3\/3 - 329336*h**2 - 649440*h + 980100 = 0. Calculate h.\nAnswer: -495, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2710*u**5 - 647*u - 2 wrt u?\nAnswer: -54200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - (sqrt(891) + 1*sqrt(891))**2*-1 - (sqrt(891) + ((4*sqrt(891)*-2)**2 - sqrt(891))).\nAnswer: -53460 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -34, 57, 4, -22.\nAnswer: -34, -22, -3, 3, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 940*d**2 + 290115*d - 64365. Let x(p) = 35*p**2 + 10745*p - 2384. Let h(n) = 2*m(n) - 55*x(n). Factor h(o).\nAnswer: -5*(o + 239)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 2*a - 2*a + 5 - a. Let m(k) = 6*k + 26. Give -3*m(r) + 16*t(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + a - 30 = 0, l - 47*a = -46*a - 10. Let n(r) = -r. Let c(w) = 8*w - 2. Determine l*n(d) + c(d).\nAnswer: 13*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*d + 90 = 0, -4*d + 57 = 5*g - 2*g. Let r = -4 + g. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 - (-19 + 3 + -102 + 105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.55 + -0.25. Let i = f - -2.82. Put 1, 3, i in ascending order.\nAnswer: i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/927?\nAnswer: 2\/927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9209435, 9209459, 9209483, 9209507, 9209531, 9209555?\nAnswer: 9209579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 1.3. Suppose 0 = 4*v + 126 + 178. Let h = v - -153\/2. What is the nearest to p in -3, h, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89945991 to the nearest integer?\nAnswer: 9484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - x + 3 = 1, 2*g = 2*x + 4. Suppose -12 = p - g*l, -3*p - 7*l = -2*l + 58. Let r be (0 - -2) + 20\/p. What is the third biggest value in r, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.52189 plus 66376995?\nAnswer: 66376998.52189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 0 (c) 0.1 (d) -0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 q when four letters picked without replacement from dqddddqdddddd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i**3 + i + 1. Suppose -4*q = -3*q - 2. Suppose 2*l = -3*t - 5, -5*l - 3*t + 6*t - q = 0. What is f(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 727.4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2118 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 5*b**9\/1512 + b**5\/40 + b**3\/6 - 5*b. Let r(m) be the second derivative of p(m). Find the second derivative of r(u) wrt u.\nAnswer: 200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3) + 160\/(-88)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123200.95174 to the nearest ten.\nAnswer: 123200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 3, 70, 2, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864691.\nAnswer: 1864691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -69. Let p be (-1 + y\/(-2))\/(4\/(-24)). Differentiate -2*j**3 + 13*j**p - 5 + 9*j**3 - 4*j**3 with respect to j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-32))**(-40)*(o\/(o*o**(-6)*o*o))\/((o**(-12\/19)*o)\/o) assuming o is positive.\nAnswer: o**(22888\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 - 1149*x + 565. Determine f(191).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 - 8*n + 742. Calculate c(-19).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -26 (c) 1 (d) 0.0157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7993251?\nAnswer: 3, 7, 71, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 644448*k**2 + 25942892880*k - 1142735278784.\nAnswer: 4*(k - 44)*(k + 80578)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 - -86. Let w = 331.5288608 + -379.528855. Let y = w - r. Round y to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-9))\/(-4))\/(1\/312*-13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwif when four letters picked without replacement from {i: 4, g: 1, t: 1, f: 4, w: 3}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1038, -1086, -1132, -1176, -1218?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*i = u + 4, -5*u - 2*i - 4 = 0. Let d(y) = 2*y**2 - 16*y + 33. Let q be d(6). Which is the closest to u? (a) q (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/4 (b) -1 (c) -0.0702 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44144401 - -10?\nAnswer: 44144411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 1296?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8367090 equal to -8367093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9936 and 2032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 610039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - g - 3 - g)*(4*g - 4 + 4 + (21 - 21 - 3*g)*(-2 - 1 + 5)) as t*g**2 + c*g + x and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*w**3 - 5360*w**2 - 1192*w.\nAnswer: 2*w*(w - 298)*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -175263 divided by 2\nAnswer: -175263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*m**2*y**2 - 5*j**3*t**2 - 7*j**3*t*y + 68*j**2*m**2*t*y + 3*j*m**2*t*y**2 + m**2*t**2 + 124*m*t**2*y**2 wrt t?\nAnswer: -10*j**3 + 2*m**2 + 248*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(14)\/(sqrt(7)*2)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1782 - -1779. Let v = 27 + -18. Let n = v - 5. What is the biggest value in t, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 7 = -w - 1, 2*a + 4*w + 30 = 0. Let l be (9\/(a\/(-10)))\/1. Suppose 0 = 5*q + l, -4*r - 2*q + 166 + 54 = 0. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.20078 - 5.2. What is f rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 10. Let v = 44 + -37. Suppose -f + b + v = -17, -b = s*f - 114. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2\/3 + 1117*i\/3 - 522560\/3 = 0.\nAnswer: -1472, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 5, 61, 1.\nAnswer: -3, 1, 5, 11, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)\/f*f)**(-22)\/(f\/f**(-2\/75)*f\/(f*f\/(f*f**(-2\/7)))) assuming f is positive.\nAnswer: f**(11161\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-11) - (-1 + (-260)\/(-44)). Let r(l) = -18*l + 12. What is r(k)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93973.64 centuries?\nAnswer: 112768368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 3*q + j, -5*q + 336 = j - 30. Solve -q + 98 = 4*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5477 + -3549. List the prime factors of x.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 1887592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 - i**2 + 2*i + 6. Let c(f) = -10*f**3 - 3*f**2 + 7*f + 19. Give -2*c(o) + 7*r(o).\nAnswer: -o**3 - o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9569286 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110110001101111110 - -1101111?\nAnswer: 1001110110001111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 746 + 746. Calculate the least common multiple of t(-3) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - f**2)*(2 + 0 - 4) - 4*f**2 - f**2 - 5*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10) - (-209)\/55\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3551379521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -15\/4*i**4 + 15\/2*i**2 + 5\/3*i**3 + 9 - 10*i + i**5. Let b(f) = 0. Calculate f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403.033 micrograms in kilograms?\nAnswer: 0.000005403033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (10\/(-25))\/((-9269)\/1560 - -6)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*t + w + 4, 4*t = 2*w. Suppose 255 = 2*r - c, 0 = -r - t*r + 3*c + 378. Calculate the remainder when r is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1815553187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.95169 (b) 3\/4 (c) 4 (d) 2\/5 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Suppose -y + s = -4. What is the units digit of 1 - 1 - -1*y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*i - 2*i - 12, 4*i - 11 = -3*n. Let q = 1 + 3. Put i, q, 0 in decreasing order.\nAnswer: q, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11880211, 47520848, 106921911, 190083400, 297005315?\n\"Answer: 11880213*b**2 - 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + -0.25. Which is the nearest to 1\/4? (a) 3\/4 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u - u + 43*u)*(-1 + u + 1).\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 774 or 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + -40. Let s = 40 - n. Which is the biggest value? (a) -3 (b) -4 (c) 1\/4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + c. Suppose -1 + 3 = 2*m. Let d be t(m). Solve 5 + d = 2*u, -9 = -3*b - 3*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8384, 14324, 20190, 25946, 31556, 36984?\n\"Answer: -6*y**3 - y**2 + 5985*y + 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 divided by -99599?\nAnswer: 307\/99599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -377, -546, -715?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) -2\/611 (c) -2\/129 (d) -18 (e) 0.2 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwnxvnx. Give prob of sequence xx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlmm when four letters picked without replacement from llllmlmm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 = -3*y, -12 = -2*w - 3*w + 4*y. Suppose -488 = -o - 2*m, w*o + 1184 = -5*m + 3127. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 1. Let g(l) = -6*l**2 - 2*l - 2. Let c(s) = -37*s**2 - 11*s - 11. Let z(o) = -2*c(o) + 11*g(o). Give r(z(u)).\nAnswer: 256*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(60\/80)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 != 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67338 or -67333?\nAnswer: -67338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-6)*6\/(-5). Suppose -o = d - r + 17, 3*d = -5*o - 33. Is ((-9)\/d)\/((-3)\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/4*(0 - (-7)\/(-49)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/3 (b) 2\/7 (c) -11 (d) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6780277 - 0?\nAnswer: -6780277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 983, 3447, 8325, 16421, 28539, 45483?\nAnswer: 68057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(0 + (-3)\/(-33)). Let b = m + 20. Suppose 13 = 2*p - b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2) - (1 - 1). Suppose 0 = -4*c + 3*g - 36 - 12, 64 = -4*c - g. Let s = c - -22. What is the highest common divisor of s and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -36. Suppose 162 = 2*u + 42. Calculate the greatest common factor of f and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53280\/17 - 3134. Sort -0.9, u, 6 in descending order.\nAnswer: 6, u, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 6*u + 2*m - 10, -10 = -2*u - 3*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let f be 16\/12*(-3)\/(-1). Let p = 2 - f. Let n be (2\/5)\/(p\/10). Let i(q) = -q + 1. What is n*i(k) + 3*y(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac35492 - 2?\nAnswer: -ac35494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 - 4076*j**3 + 9*j**2 + 698*j**3.\nAnswer: -3378*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/10)\/g)**(1\/22)*(g**(-3)\/g*g)**(-5\/2) assuming g is positive.\nAnswer: g**(1641\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2 + 31\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.378193 and -0.0095685?\nAnswer: 0.3877615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 16467*o = -16469*o - 24, 2*p - p + 3*p + 2*o = 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 14 - 58 = -5*z, 0 = -2*z + 3*r + 15. Solve 5*h + 20 = 5*x, 0*h - z = -3*x + 5*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1713.289 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1826.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:05 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, -3683 in decreasing order.\nAnswer: -5, -21, -3683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120367*g**3 + 3*g**2 + 34524?\nAnswer: -722202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 268758.53 and 0.3.\nAnswer: 268758.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 40\/1374401?\nAnswer: 40\/1374401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120728, 120727, 120726, 120725, 120724, 120723?\nAnswer: 120722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -806*j**3\/3 + 676*j**2 - 5*j + 45. Find the first derivative of r(d) wrt d.\nAnswer: -1612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-63))\/(48\/432)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36 - -1) + 3\/3. Let w = l - -30. Let u(c) = -4*c - 14. Let j be u(w). What is the smallest value in 4, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - (2 + -1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 2*f**2 - 8*f. Let s be l(4). Let q(z) be the second derivative of s*z**3 + 1\/2*z**4 + 0 - z**2 + 4*z. Differentiate q(p) with respect to p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*o - 0*o + 6, -4*o - 24 = m. Let a = m - -18. Suppose p - 10 = 5*k + 9, -2*p - 2*k + a = 0. What is the remainder when 16 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*j - 12, 45*d - 50*d - 8 = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 7*j**4\/2 + j**2 + 115*j + 104. What is the first derivative of u(x) wrt x?\nAnswer: 42*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11388 - -114001\/10. Calculate the common denominator of 109\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1266 - -1408. Suppose -3*l + 62 = -82. Find the second derivative of -76*f + o*f - 38*f - l*f**2 wrt f.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702\/(-462) - 23\/(-253)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4089 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 10 + -39 + -24 + 34\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) 5 (c) 0.5 (d) 49\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 + 9 = 0. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*1)\/((sqrt(4) + sqrt(4) + sqrt(8)\/sqrt(2))*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 + -313. Let b be (-1837)\/f - (-1)\/6. What is the highest common divisor of 868 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325.18 - 324.98. Let w = -6.1 + 1.1. Which is the closest to 2? (a) n (b) w (c) -9 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) - (sqrt(560) - (sqrt(560)*4 - sqrt(560))))\/sqrt(10) + sqrt(56))\/(-4*sqrt(512)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 12*p**2 + 37*p - 36. What is h(-14)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 3*n**2 - 19*n + 68. What is u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Suppose 5*k = -4*v - 6 - 5, -3*k - 5*v - 4 = 0. Is y at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16955 and -4?\nAnswer: 4.16955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 173645, 1, 2 in decreasing order.\nAnswer: 173645, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/52 in 7, 0.5, 1\/7, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 126?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -107*g + 142. Let t(z) = -z + 35. Determine -12*t(l) + 3*y(l).\nAnswer: -309*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:12 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -144 times 0.38\nAnswer: -54.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467077 is divided by 60171?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 8:27 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.47 in -1\/4, -2\/7, 0.03?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160666 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1 + 18\/2. Let m = 2 - -14. Let o be 1\/(-8) - (-1026)\/m. What is the greatest common factor of t and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 445*m - 12. Is u(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -197711.29 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 36 = 4*r + 2*k, 88 = 3*r + k. Suppose -2*x - 25 = 3*x, n - x + 86 = 0. Let m = n + 133. What is the greatest common divisor of r and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 727552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -38. List the prime factors of (w - 1) + (-1 + 71)\/1.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 73.58582, -5?\nAnswer: 73.58582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 85?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/14)\/((-8)\/(-24)*6). What is the closest to n in 1, 3, -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 6340\/5381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 7*i - 372. What is the thousands digit of r(61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19607 + -19588. Let m(u) = u**3 - 19*u**2 - 12. Give m(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -308 + 314 + 22*w - 39*w. Let t(p) = 44*p. Determine g(t(m)).\nAnswer: -748*m + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254 + -5313?\nAnswer: -5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -77 (b) -1\/5 (c) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + -0.79?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0119322 to 4 dps.\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 1423, 4672, 11035, 21556?\nAnswer: 37279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 103*i**2 + 288*i - 158. What is the tens digit of k(103)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.017175mm?\nAnswer: 0.000006017175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8349.5 * -5\nAnswer: 41747.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74 from 25275.\nAnswer: 25201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194*p**3\/9 + 1564*p**2\/9 - 3200*p\/9 + 64\/3.\nAnswer: -2*(p - 4)**2*(97*p - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 3. Let h be f(-3). Suppose -5*g + 7 + 33 = h. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 2056388939899.\nAnswer: 2056388939903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74000 and 73200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 46. Let h(x) = 6*x**2 - 107*x - 15. Let q be h(18). Let b be (-1 - 0)*(-2)\/(-5). What is the second smallest value in n, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-5)\/(-3) - (-165)\/(-45)). Put x, -1, 2, -7, -4 in ascending order.\nAnswer: -7, -4, -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6063122, 12126247, 18189372, 24252497, 30315622, 36378747?\nAnswer: 42441872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 2*l + 2. Let z(f) = 9*f**2 - 66*f - 67. Let q(o) = 24*k(o) - 3*z(o). Let q(r) = 0. Calculate r.\nAnswer: -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i + 12. Let f(h) = -9*h + 88. Let s be f(9). Let a = i + s. Calculate the greatest common factor of a and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2358*n - 23773. Determine b(10).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*t - 2*t**2 - 3)*(13 - 302 - 176)*(3*t - 6*t + 4*t).\nAnswer: 930*t**3 + 930*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54539 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: Simplify ((1 + (0 + sqrt(175) + sqrt(175))*-3 + 5 + (sqrt(175) - (sqrt(175) + -1 + -1 + sqrt(175))) + 5)**2 + -1)*6.\nAnswer: -5460*sqrt(7) + 52458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 6, m: 1}. What is prob of picking 1 r and 1 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006575 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 427633429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15155 (base 6) to base 4\nAnswer: -212033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1349\/5 + 271. Factor 0 + p*a**5 - 4*a**4 + 2\/5*a + 24\/5*a**3 - 12\/5*a**2.\nAnswer: 2*a*(a - 1)**3*(3*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 - 8*t - 2. Let k be z(-4). Let i = 11 - 10. Let u(c) = c - 4. Let a be u(3). Put -5, k, i, a in decreasing order.\nAnswer: i, a, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69908 - 46201. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 20*k - 20. Let n(b) = -b**2 + 7*b - 6. Let c be n(k). Solve 2*h - 2*s = -13 - 3, 2*h = -s - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - ((4 - -12) + 1)) + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1884260)\/284830)\/(6\/13).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - s**4 + 268*s**3 + 7*s**4 + 54 - 728*s - 449 - 106*s**2 = 0. Calculate s.\nAnswer: -45, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 20*x**3 + 9*x**2 + 2*x + 11. Let i(n) = -40*n**3 - 15*n**2 - 3*n - 19. Give 5*c(j) + 3*i(j).\nAnswer: -20*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, n: 16}. What is prob of sequence nnjj?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02208 + 3.02208. What is the nearest to 0.45 in 4, -4, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10337374 - 45?\nAnswer: -10337430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -165, -239, -315?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 15235?\nAnswer: 15243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135001 + -135004. Let n = 4\/15 + -1\/10. Which is the smallest value? (a) v (b) n (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k**2 + 9. Let o(z) = 4*z**2 + 3875 - 1931 - 1946. Let f be -1 + 4*-1 + 3. What is f*i(s) - 9*o(s)?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqbqbqqqbqqqq.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5294, 21061, 47316, 84059?\n\"Answer: 5244*s**2 + 35*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*g + 33*g - 14*g - 1.\nAnswer: 72*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, r: 4, a: 1}. What is prob of sequence orr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15508\/20 - (5 - (-92)\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 3204204*d + 855576939468.\nAnswer: 3*(d - 534034)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 596175 rounded to the nearest one thousand?\nAnswer: 596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o - 0*o. Solve -4*h - 5*v - 5 = o, -2*v - 3 = -5*h + v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -599.8306 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006685215 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.554 (b) -3\/8 (c) 4 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/394 in 0.07, 2\/7, -6\/11, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 6:16 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2*(3 - -19) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2349861 less than -2349845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25405432 divided by 1.\nAnswer: 25405432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-30)*15\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234599 is divided by 575.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*s + 3*b = -274*s + 25, -b = 3*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - c?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7130)\/(-100))\/(-23) - -3)*(1 + -19).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 41. Suppose -5*d = -2 - h. Let p be ((-9)\/d + 3)\/1. Solve 2*l - 1 = -u - p*u, 0 = -5*l - u - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 111*d = 221*d + 4845 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 51*o + 388, 23*o + 27 = d + 27*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 655 divided by -43081\nAnswer: -655\/43081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -894 - -897. Solve -r*i + 19 = -4*b - 0, -5*i + 29 = -4*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -87, -9993 in ascending order.\nAnswer: -9993, -87, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8 - 9*k - 6 - 5 + 10*k. Let r be c(20). What is the tens digit of (-1)\/((-1)\/108*r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77800 rounded to the nearest 1000?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/60 - w**4\/12 + 2*w**3\/3 - 4*w**2. Does 19 divide n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (90\/(-4))\/((-3)\/4). Let q = f - 13. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u - 2*u + (1 - 1 - 2*u)*(1 + 1 + 0) - u + 6*u - 4*u + u + 1 - 1)*(-1 - 2 + 1).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l = 38*l + 11 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42041\/6 + 6991. Let s = 4\/3 + x. Calculate the common denominator of -99\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*l**3 + 9*l**2 - 1099*l + 2.\nAnswer: 1206*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-5)\/(25\/(-205)). Let a be 22*-1*(-1)\/2. Calculate the highest common factor of a and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 20*i**2 - 5. Let l be j(-20). Let c(o) = o**2 + 4*o + 4. What is c(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 635232?\nAnswer: -635236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 181*m - 3225. What is z(-68)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2688 and 70.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2315346695 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g**2 + 2*g**2)*(3*g**2 - 7*g**2 + 8*g**2 + 2).\nAnswer: -8*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izz when three letters picked without replacement from zizr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -14622\/19 > -771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 15 = 9. Let m = 8 + g. Suppose m = 3*i - 29 - 43. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 - 1*8). Let z = -181 + 272. Let m = -89 + z. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -379 divided by 6\nAnswer: -379\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97870*c = -97858*c + 192 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21516\/209 + 21 - (8 - 1071\/133)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 25344?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a + 60?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 - 2 + 2)*(-2 - 1 + 1) - 37*a**3 - 91*a**3 + 12*a**3 as r*a**3 + z + n*a**2 + w*a and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3003 and 60753.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-18)\/27*(-12)\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - 114114*r + 20752917 = 0. Calculate r.\nAnswer: -38219, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 2.69 (c) -3\/4 (d) 0.4 (e) 410\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*k - 17*k + 3*k + 4*k + 3 wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 516*f - 494*f. Factor 14\/3*r**3 + f*r**2 + 0 + 0*r - 4*r**4 - 2\/3*r**5.\nAnswer: -2*r**3*(r - 1)*(r + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, e: 1, x: 1}. Give prob of picking 1 e and 1 j.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 202780710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let n = 5 - 3. Suppose n*d + v*d - 20 = 0. Solve -10 = -d*y + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -5, 2, 4 in ascending order.\nAnswer: -65, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -19.4. Let p = b + -4. Sort 0.2, p, -1 in increasing order.\nAnswer: -1, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) 1 (c) 3 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(72) + -5*(sqrt(72) + -2))**2*-4 + ((2 + sqrt(72))*3 - ((0 + sqrt(72))*-5)**2).\nAnswer: -6726 + 1746*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Let i(s) be the third derivative of 0 - 2*s**2 + 0*s**4 + 0*s + 0*s**3 + 11\/60*s**5. Determine p(i(b)).\nAnswer: -242*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 - -151 - (1 - (1 - 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4.959, -1.4, -3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 3*y**2. Let r(t) = 2*t + 3. Let l be r(1). Let v(k) = -6*k - 5*k**3 + 5*k + k**3 + l*k**2 + 2*k**3. Give 3*v(x) + 5*z(x).\nAnswer: -x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38284.23 milligrams in kilograms?\nAnswer: 0.03828423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (98\/(-21) + 3)\/((-1)\/1671)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8545 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 6 - 6. Let s = 5 + b. Solve -v = -3*v + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8 - -5 - 3) + (21 - (-19 + -1)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 28362 - 284362. What is g rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 9922.\nAnswer: 5\/9922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 + 3*b**2 - 3*b**2)*(6*b + 3 + b - 3*b)*(2 + 1 - 1) to the form d + v*b + j*b**2 + r*b**3 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4)*-4)\/(-3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 0, -4, -3.\nAnswer: -7, -4, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 31 + -22 + 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**4 + 2*b**4 - 5*b**4 + b**4 + 0*b**4 + b**4 + (b**2 - b**2 - b**4)*(2 - 3 - 3) as a*b**3 + m + f*b**2 + n*b**4 + t*b and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g + 14. Let p be o(0). Let m = p + 0. Suppose 0 = 4*r - 5*c - 13, 5*r - 2*c - 2*c - m = 0. Solve 2*z + 2*z + 23 = i, -r*z - 4*i = -2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -50. Let g = -0.3 - -0.3. Which is the closest to g? (a) v (b) 3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3219309*u**3*y**2 - 19*u**2*y**2 - 4*u**2 + 1829*u*y**2 - 2*y wrt u.\nAnswer: 19315854*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 139, 208, 277, 346?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, m: 5}. Give prob of sequence ym.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0132042 centuries to decades.\nAnswer: 0.132042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + s - 2*s, -2*s = 3*w - 4. Suppose -w*a + a = 0. Factor 1\/3*q**4 + a*q**2 + 0 + 0*q - 1\/3*q**3.\nAnswer: q**3*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2\/3*c**5 + 6*c**4 - 14\/3 - 28\/3*c**3 + 10*c - 4\/3*c**2 = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (8 - (-2 + 14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2226707531905 and 0.2.\nAnswer: 2226707531905.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22750 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - u = 2562 - 2561, 3*u - 8 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3319 by -6.\nAnswer: 3319\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(176) + 2*(sqrt(176)*-1 + sqrt(176)) - (5 + -1 + sqrt(176))) + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141267\/4 + 651\/2*z + 3\/4*z**2.\nAnswer: 3*(z + 217)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3 - 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 105547 = -106072 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*x + 51 - 108*x - 36*x in the form a*x + u and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 4*q = 19*w - 40*w - 20, -2*w = 43*q + 215 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6720418 to the power of 1\/2, to the nearest integer?\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -11.\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(3*w - 4*w - w)*(3 - 3 - w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 55*y**2 + 5*y + 277. Let k be s(-55). Let v(r) = 39*r**3 + 33*r**2 + 33*r + 33. Let c(z) = -z**3 - z**2 - z - 1. Give k*v(q) + 66*c(q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5950.1 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -63, -91, -137, -207, -307?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42741.973 + -42710. Let i = f - -0.027. What is the third biggest value in 2\/3, i, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.3916 centimeters to millimeters.\nAnswer: 7303.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 22. Let c be y(14). Let h = c + 18. Calculate the remainder when 39 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 0.27?\nAnswer: -8.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298920?\nAnswer: 2, 3, 5, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*q, 9*l - 8*l + q - 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029367 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67\/14211 + 3852239\/6252840. Let d = -713\/8536 + 7\/97. Let z = d + f. Sort z, -0.4, 0.5 in ascending order.\nAnswer: -0.4, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31932000 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(22)\/sqrt(2)*1*3)**2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3408*n - 76. Let k(v) = 3406*v + 76. Let f(p) = 6*k(p) + 5*y(p). Let l be f(-6). Round l to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 35 = j - 2*j, 0 = j. Let u be -3 + ((-490)\/(-15))\/p. Put u, -4, 1\/6 in decreasing order.\nAnswer: u, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -44.919. What is b rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3233 + -3222. Let s = 3 + -2.9. What is the closest to s in x, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -1\/5, -1658, -0.4, -0.02 in ascending order.\nAnswer: -1658, -0.4, -1\/5, -1\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/574573739 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4, -4\/7, 2\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -340 - -848. Suppose -s = 5*p - 450, 3*p + u = s + 90. What are the prime factors of s?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12))**(5\/2)\/(m**(-14\/9)*m*m\/m**(-13)) assuming m is positive.\nAnswer: m**(-391\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.107 and -11.\nAnswer: -16.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -1136 and 17.\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7*g**2 + 5*g**4 + 14*g**2 - 1 + 3 - g**3 + 3*g**2 to r*g**2 + t + w*g + f*g**3 + p*g**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 87, 121, 177, 261, 379, 537, 741?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - l)*(1 - 2 + 0)*(20*l - 12 + 12).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1147.5 (c) -0.4 (d) -5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 23*p**2 + 76*p - 531. Let r(y) = 122*y**2 + 380*y - 2656. Let w(d) = -3*r(d) + 16*z(d). Factor w(g).\nAnswer: 2*(g - 6)*(g + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - a = o + 283, -103 = -o - 4*a. Suppose -r - 2*r - 5*i = -73, -3*i + o = 5*r. Calculate the lowest common multiple of 270 and r.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42420 and 8208270.\nAnswer: 16416540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2286*z + 284. List the prime factors of k(3).\nAnswer: 2, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/517 - -29971\/19646. Calculate the common denominator of 119\/6 and k.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20 + 80 = 0. Suppose -d + 5*z + f = 0, -3*d + 44 = -6*d - z. Let p = d + 8. Let s(j) = j - 3. Calculate s(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(2\/5)*a**(-1\/18)*(a**(2\/119)\/a)**(23\/3) assuming a is positive.\nAnswer: a**(-74899\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118903734, 118903735, 118903736, 118903737, 118903738?\nAnswer: 118903739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (96 - 100 + 69)*(1889*n**3 - 211*n**3 - 2*n**2 - n**2 + 3*n**2) as q*n**2 + g*n + x*n**3 + f and give x.\nAnswer: 109070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.195065 rounded to 1 decimal place?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5470556 by 111644.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128278 or -128280?\nAnswer: -128278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 2. Let h = -2 + 6. Let y be f(h). Let z(c) = -c**3 + 9*c**2 + 10*c + 13. Calculate the remainder when z(y) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18344 divided by 4\nAnswer: 4586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0007, 0.4, -0.4, -97, 1.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/555 + -5521\/16095. Let b = m - -1674\/145. Let 10*u**4 + 138\/5*u**2 - b*u + 8\/5 - 28*u**3 = 0. What is u?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 2*b**3 - b**3)*(2*b**2 + 2*b**2 - 5*b**2 + 3*b**2 + b**2 - 2*b**2 + (b + 0*b - 3*b)*(0*b - 2*b + 6*b) + b**2 + 0*b**2 - 2*b**2).\nAnswer: 32*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 693238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 62. Let z(s) = -2*s + 1. What is -a(l) - z(l)?\nAnswer: l + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -250151, -1000632, -2251441, -4002578, -6254043, -9005836?\n\"Answer: -250164*b**2 + 11*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 3*s - s + (-6 + 2 + 0)*(3*s - s + 0*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -29*a**7\/840 + 19*a**4\/24 - 5*a**3\/2 - 36*a. Let s(t) be the second derivative of b(t). Differentiate s(i) wrt i.\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 979.945 + -961. Let t = -0.055 - v. Let h = -18.999894 - t. What is h rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818971448.\nAnswer: 2, 3, 7, 53, 281, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 3, 52, 141, 282?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 16*v - v + 81*v**2 + 17*v to the form i + h*v**2 + m*v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -20*s**5 - 26065*s**4 - 9735415*s**3 - 776777045*s**2 + 590513595*s + 196024950 = 0.\nAnswer: -597, -110, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 18 + 19 + -9 + -1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**4\/24 + p**3\/3 + 2*p**2. Let y be a(-6). Calculate the lowest common multiple of y\/(-2) - (-3)\/1 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-4 - (-4 - 6)). Suppose -24 = -b*x - 4*j + 1, 12 = 3*j. Suppose -x*t = 4*n - 5095, 0 = t + t + 4*n - 3402. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6447 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 - 25 = 0. What is the units digit of g + (-6)\/(2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 2. Suppose d - 4*d = -15. Suppose -2*t = -1 - d. Determine i(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - -3 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6992*z - 6974*z. Solve -66*l + 48 - 246 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 19. Let d be w(-8). Determine i, given that 3*i**d - 3716*i**2 + 3716*i**2 - 3*i**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 78. What is the units digit of 159\/2*((-16)\/4 - r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690333 is divided by 43144?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 55416*o + 1662379. What is l(-30)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*o = -15, j + 3*o - 2*o - 6 = 0. Let w(p) = -p**3 + p**2 + 2*p + 2. Let u be w(-1). Solve -h + j = u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0261 + 0.9739. Let k = 0.31 - -0.03. Let d = 0.06 + k. Put d, 3, g, 0.3 in decreasing order.\nAnswer: 3, g, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-12))\/(-4) - 73*65584\/(-48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 + 4*u**2 + 18*u - 215. Determine d(6).\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s + s + (4*s - s - 4*s)*(-1 + 0 + 0))*(s**4 + 0*s**4 + 0*s**4 + (2*s**2 - s**2 + s**2)*(3*s**2 + s**2 - 2*s**2) - 4*s**3 + 4*s**3 + s**4).\nAnswer: 30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 minutes before 11:22 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1430 and 64.\nAnswer: 45760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -806993\/1197 - -12750\/19. Let u = q + 25\/7. Solve -u*l**4 + 2*l + 2*l**3 - 28\/9*l**2 - 4\/9 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 22 + 3. Which is the biggest value? (a) -1\/4 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -7, -1, -21, -4, 0 in descending order.\nAnswer: 17, 0, -1, -4, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/h*h*h)\/h*h**(1\/11))**(-43) assuming h is positive.\nAnswer: h**(1849\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-90)\/27)\/(8\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + 1) - 6 - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (3 + -2 - 3). Let n(b) = a - 2 + 30*b + 5*b. Is n(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - (12 + 5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20565 - 16445. Which is greater: 4121 or d?\nAnswer: 4121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 86*o + 13. Let s be l(3). Let q = s + -73. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 727 + -427. Suppose 0 = 3*l - 3*u - u - j, 5*l - 511 = 3*u. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3877, 7827, 11863, 15985, 20193, 24487?\nAnswer: 28867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-30)\/9)*12\/(-288)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169392 - 16769671\/99. Let w = -14\/11 + p. Let g be -1 - -2*2\/24. What is the third smallest value in g, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 1, -0.3, 67 in increasing order.\nAnswer: -0.3, 0.11, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/291 and 98\/187605?\nAnswer: 18197685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5299293 is divided by 2647.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 97.97617 centuries?\nAnswer: 9.797617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244 + -121. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36620*v**3 + 3856*v**2 - 583742*v - 28 wrt v.\nAnswer: -219720*v + 7712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.3568 kilometers to centimeters.\nAnswer: 16535680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757*l = 760*l + 15, -5*l = 3*q - 1217. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -824190.86 + 2330.\nAnswer: -821860.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-285)\/30)\/((-87)\/24*6).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*t + 25, 0 = -4*h + 3*t - 7*t + 24. Suppose 0 = 5*y + h, -3*y + 4 = -2*p + 27. What are the prime factors of 6\/p + (-72)\/(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 34 = -2*j, -76*z = -81*z - 4*j - 56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11074377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) -0.1 (c) -5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 98818659349.694+0.1\nAnswer: 98818659349.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/36)\/(-6*13\/(-832)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650950 is divided by 2428?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) -0.5 (c) -2\/7 (d) -71 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -13.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-556)\/1*(-1)\/374. Let q = 163\/748 + x. Let y = -1025377\/24 - -42729. Calculate the common denominator of y and q.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/((-3)\/(3\/2)) and 43\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s - 43. Is o(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(16)\/sqrt(4) + sqrt(4) - sqrt(4)))\/sqrt(7) + -1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772782427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*z + 23*j*z - 7*j - 8022*z + 2 wrt j.\nAnswer: 4*j*z + 23*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-40) + 3 - 2\/(-10). Suppose -u + 0*u + 3*p = -12, 3*u - g*p - 12 = 0. Solve 2*n + u*n + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 3.4. Let v = 132 + -131.7. Which is the closest to v? (a) g (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = k - 15, 27 = 46*d - 48*d + 7*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -699, 5, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -113 divided by 176\nAnswer: -113\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*t - 165 + 525 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -202227 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/24 + (-33)\/(-18). Suppose 3*p - 3519 = -w*d, d + p = 818 + 943. Suppose 0 = 4*n - 16*n + d. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (5 - -4) - 3 - 18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from {x: 4, g: 3, v: 2, q: 2, b: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 595343, 595320, 595281, 595226?\n\"Answer: -8*v**2 + v + 595350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196 - 165. Calculate the remainder when 184 is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 68 - 75 + 143 in the form w + b*j**2 + d*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -2 + (sqrt(5)*1)**2 + ((3 + sqrt(5))*6)**2.\nAnswer: 216*sqrt(5) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 18107.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:33 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8044 in 2\/7, 271, -2, 2\/3, 1, -3?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456273 is divided by 1618.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -33. Suppose -c = 3*f - 21, -2*f + 30 = 3*c - b. Solve 3*g + c = -0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(18\/1062 + (-44 - -44))?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m**4 - 2*m**3 - 58. Let c be (8\/12)\/((-4)\/12). Let y(k) = -21*k**4 - 3*k**3 - 58. Let f(z) = c*y(z) + 3*o(z). Differentiate f(b) wrt b.\nAnswer: -84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 41 + -67 - (3 - 58)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2 + y + 1. Let o(x) = 3*x**3 - 2*x**2 - 4*x. Let a(s) = 2*g(s) + o(s). Give a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**3 - 12*q**3 - 200*q**3.\nAnswer: -256*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 - -5. Suppose -3*l + 3 = 3*s, -3*l + 28 = l - 2*s. What is the biggest value in v, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/3 + 668*t**2\/3 - 943*t\/3 + 90.\nAnswer: (t - 1)*(t + 135)*(5*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2018, 2024, 2042, 2078, 2138, 2228, 2354?\n\"Answer: j**3 - j + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i)\/i**(3\/2))**(-9\/7)*(i**(2\/7)*i)**(-6)\/((i*i\/(i\/(i\/i**(1\/2))))\/i)**(1\/8) assuming i is positive.\nAnswer: i**(-943\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose 0*x + 3*x = 4*l - 11, 2*x = -2*l + o. Solve y - 6 = -l*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -2. Suppose o - y = 4. Suppose -4*u = -o*u + 228. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsjsqqssj. What is prob of sequence qss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/66*30\/8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 407683 and -0.6.\nAnswer: 407682.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-24 - -4) - -5 - (20 + -13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 4*t**2 - 55*t + 372. What is r(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2. Let w(b) be the first derivative of b**6\/120 - 2*b**3\/3 + 3. Let x(p) be the third derivative of w(p). Give x(j(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35217.99999939085 - -35218. What is i rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(36) - (-3*(sqrt(252) + 0 + sqrt(252)) - sqrt(252))**2) + (-3*sqrt(70)*1)\/(sqrt(10) - -4*1*sqrt(10)).\nAnswer: -12348 + sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8291 + 5104. Let o = v + 4826. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*z + 3)*(0 + 0 + z + (0 + 1 - 3)*(2*z + 2 - 2) + 61851 - 557*z - 61851).\nAnswer: 1120*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccicici. What is prob of sequence cc?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.8335 and 0.0723?\nAnswer: 1.65086205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 0, -4*s + 1720 = 4*r - 24776. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-26)\/6)*3\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + d**4 - 3 + (-1 + 1 - 2*d**3)*(-2*d - 4*d + 4*d) + d**4 + d**3 - d**3 - 3*d**3 + 5*d**4 + 3*d**3 + (-23*d**3 + 379*d - 379*d)*(-d + 0*d - 2*d).\nAnswer: 80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-4 + 3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 8*g**2 + 2. Let o be k(-8). Let v(p) = 7*p**2 - 6*p**o + 1 - 1. Let a(x) be the third derivative of x**4\/8 + x**2. What is v(a(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1659146?\nAnswer: 2, 349, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kttgggrkrgrlktrl. Give prob of picking 1 l and 2 r.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 24597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.321 plus 139843?\nAnswer: 139842.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 5) to base 15\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 25, 3*d - 2*d + 15 = -3*y. Which is the biggest value? (a) d (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376021 is divided by 475180.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/2)*s**(-2\/27)\/s*s**(-2\/3)\/(s\/(s*(((s**(-1\/5)*s)\/s)\/s)\/s)))**25 assuming s is positive.\nAnswer: s**(-1945\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -65*p**6\/2 + 3*p**5\/20 + 841*p**4\/3 - p**3\/6 - p**2\/2 - 1547*p. What is the third derivative of c(d) wrt d?\nAnswer: -23400*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 4\/20 + (-1368)\/(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) - (sqrt(117) + 1 + -3 + sqrt(117)) - (2*((sqrt(117) + 1 - sqrt(117)) + sqrt(117)) + sqrt(117))))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.389133 millilitres in litres?\nAnswer: 0.002389133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s - 2. Let r = -11 + 8. Let h be u(r). Suppose 62 = h*c - 18. Solve 4*k = 4 - c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**5 - 807*f**4 - 2394*f**3 + 12*f**2 + 3192*f = 0?\nAnswer: -266, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 divided by -357917?\nAnswer: -298\/357917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3846392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9429eec + 1?\nAnswer: -9429eeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let q be 64\/112*(39\/6 - 3). What is the third derivative of -p**2 + 2812*p**3 - q*p**x - 2778*p**3 wrt p?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 8:34 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 32 = 5*p, 3*p + 4*k = -40. Let b(f) = f + 9. Let l be b(p). Let z(s) = -s**3 - s + 1. Calculate z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -69 (c) 1.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1685 = -5*y, 100 + 548 = 2*y + 4*s. Let w = 741\/2 - y. What is the common denominator of 15\/8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35 - -1 - (-5 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22 - 136\/187*-14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 22*o - 3. Let l(v) = -v**2 - 19*v - 3. Let i(w) = 3*l(w) + 2*z(w). Let p(n) = -6*n + 13. Let c be p(4). Give i(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - 523*j + 14666. Determine l(90).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**3 - 137*j**2 + 59*j - 27. Let t be x(-20). Sort t, -2, 0 in descending order.\nAnswer: 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 16372346079973.\nAnswer: 16372346079972.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 16*j**2 + 55*j + 1160. Let z be q(-14). Let p = -1 + -3. Sort 0, p, z in ascending order.\nAnswer: p, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2526, -10053, -22600, -40173, -62778, -90421, -123108?\nAnswer: -160845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 43*i**8\/8 - i**7\/105 + i**5\/60 - i**4\/2 + 77*i**3\/6 - 6248*i**2. Find the second derivative of g(l) wrt l.\nAnswer: 36120*l**3 - 24*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(396) + 0) + -5.\nAnswer: -18*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -t + 1720, 2*p = -5*t - 609 + 9197. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -20. Let k(f) = f**2 - 8*f + 5. Let o be k(9). Let w = o - a. Calculate the lowest common multiple of w and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -2 - 5 - (8 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20592 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*p + 269*p = -319*p - 313*p - 108926 for p.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -168593961 <= -168593961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(8064)*-1)\/((sqrt(392) - 2*sqrt(392) - sqrt(8) - sqrt(8)) + sqrt(8))*1)**2 + -4.\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 28 = -46*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1445 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13331450 (base 6) to base 8\nAnswer: -1552026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11302 (base 4) to base 9.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -1) + (5 - 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 q, and 1 f when four letters picked without replacement from dddfqfddqddfdf?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 97 + 307. What is the third derivative of -s*r**6 + 64*r + 2*r**3 + 0*r**3 - 6*r**6 + 2*r**2 - 79*r wrt r?\nAnswer: -4320*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1116 and -299.922.\nAnswer: -33.4712952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1\/4 (c) 3 (d) 1 (e) -7\/279 (f) -4 (g) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 8*v + 3. Let q(t) = -t**3 + 3*t**2 + t - 3. Let c be q(3). Suppose 30 = -4*h - 6*y + 3*y, -y - 2 = c. Determine z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/(-4) + (-1)\/4. Let t = 6 + o. Let z(i) = 2*i**2 + 26*i - 33. Let r be z(-14). Which is the third smallest value? (a) t (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 286 (c) -820 (d) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i + 0*i**3 + 0*i**2 + 0 - 1\/6*i**4. Let q(c) = 4*c**2. What is x(q(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -21*c + 4. Let j be y(3). Let l = 83 + j. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 4, 96, 8, -75 in increasing order.\nAnswer: -75, 0, 4, 8, 22, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 14 - 174910*q**3 - 223638*q**3.\nAnswer: -398548*q**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 59, 102, 155?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l. Let p(m) = -4*m + 2827. Determine p(y(j)).\nAnswer: 20*j + 2827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a factor of 39582080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 475995 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**5\/5 + w**4\/2 + 44. Factor h(f).\nAnswer: -f**3*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 0*r + 0*r**3 + 1\/2*r**2 + 1\/3*r**6 + 1 + 0*r**5 + 0*r**4. Find the second derivative of t(w) wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1420*x**2 - 58224*x + 70. Give o(41).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k*k**(-1))**(-46)*k**(-7)\/k**(-4)*(k**(-2\/5))**(-43) assuming k is positive.\nAnswer: k**(957\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 17*y**2 - 39*y - 15. Let a be q(-19). Let h(o) = 289*o - 156. What is the thousands digit of h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 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: Let l = 260 - 139. Suppose f + 5*r - 83 + 4 = 0, 0 = r + 2. Let a = l - f. Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -61, -88?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1323 + 1322.737. What is k rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/16)\/(10\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145728 - 10568 + 9467 = -2879*t for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -581 divided by -1282?\nAnswer: 581\/1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 108 + 140 = -v, -5*x + 4*v = -299. What is the remainder when x is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5313128 months to years.\nAnswer: 0.1276094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 4029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k - 5 = 38*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 53 - 18 = -101 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0011368 and -6.64?\nAnswer: -0.007548352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2606*r - 72991. What is p(28)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.795162ns in hours?\nAnswer: 0.000000000019387545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186165929, 186165927, 186165925?\nAnswer: 186165923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/21 - 1280\/35. Suppose 2*x - u = 3*u - 80, -5*u - 185 = 5*x. Is g < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29009 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/7*360\/(-100))\/((-6)\/28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - (-4 - -11) - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15223307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 + 231. Find the third derivative of -y*z**5 + 0*z**2 + 6*z**2 + 0*z**2 + 92*z**5 wrt z.\nAnswer: -480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -1328*n**5\/5 + n**3\/3 + 1601*n**2\/2 + 2438. What is the second derivative of g(w) wrt w?\nAnswer: -15936*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s. Let z(h) = 4*h**2 - 3*h. Let p(q) = -3*o(q) - z(q). Let w be p(0). Suppose 0 = -2*n, w = -3*i + n - 2*n. Solve i*g + 5 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1839*t**2 + 2802*t**2 - 965*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 - 68*g + 68*g.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most as big as -931725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3)*d)**(4\/19)\/((d*((d**(-14)\/d*d)\/d)\/d)\/(d*d**9*d)))**(-9\/10) assuming d is positive.\nAnswer: d**(-2313\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80046147253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:27 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -120 (b) -3142 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*m + 3*m = -15, 4*r + 12 = -3*m. Let q(y) = 4*y**2 - 3*y - 1. Let b(g) = 3*g**2 - 4*g - 1. Determine r*b(c) + 4*q(c).\nAnswer: 7*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/32*(47752896\/1017)\/284?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 84389*d - 84388. Determine p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/96*(-8)\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 2, x: 4, k: 2}. Give prob of sequence xxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99967 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/9 > -0.326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*d - 92*d + d)*(-5 + 0 + 4) - 13 + 13 - 2*d in the form l + m*d and give m.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b. Solve b = 5*h + 2*g - 9, -5*g + 5 = -3*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 463580*m + 463580*m + 2 - 2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -49.\nAnswer: -45\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4899902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66237527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.9 + 40. Let w = p - -26. What is the nearest to 0 in -0.4, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2286636 and 85?\nAnswer: 11433180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {w: 3, u: 3, g: 1, m: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/4 + 14*y**3\/3 - 31*y**2\/2 - 11*y + 30. Let j be p(11). Suppose 2*b + 3*s + j = 0, -b = -0*b + s + 3. Is b <= 9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 (base 12) in base 2?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*q + 2, 0*q + 3*p - 30 = -3*q. List the prime factors of q\/((-4)\/(-120)*3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10589 plus 4160332?\nAnswer: 4149743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25315775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h = 9*h - 10*h + 108 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251006 - 108771 = -11*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 11:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322424.\nAnswer: 2, 41, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3231322 - -11203?\nAnswer: -3220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8911, -8916, -8921, -8926?\nAnswer: -8931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 494 and 351?\nAnswer: 13338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68 - (1 + 1)) + -4 + (450 - 451)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -183 - -4?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-156)*-26 - 94\/10. Which is the closest to v? (a) -0.2 (b) 0 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 256*k**2 - 3604*k - 3864.\nAnswer: -4*(k - 42)*(k - 23)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**2 - 4*d - 7. Let w(l) = 4*l**2 - 2*l - 3. Determine 2*o(p) - 5*w(p).\nAnswer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22089216?\nAnswer: 2, 3, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225431?\nAnswer: 225431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 22367127\nAnswer: -1\/22367127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637) + 0 - (sqrt(637) - (-6*(1 + sqrt(637))**2 - sqrt(637)))) + 3.\nAnswer: -3825 - 91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1096, -424, 250, 926, 1604, 2284, 2966?\nAnswer: 3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, h: 2, t: 2, p: 2}. What is prob of sequence thh?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n + n - 108. Let u(j) = j**2 + 3*j + 2. Let s be u(-3). Let k be s\/(-8) - 1155\/(-12). What is the greatest common factor of k and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5904794)\/(-343) - (-3)\/(-21).\nAnswer: 5, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 16*j - 10. Let d be (15\/10)\/(3\/16). Let i be l(d). Let z be 6\/4 - 102\/(-4). What is the highest common divisor of i and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 6*a**2 + 8. Let y be m(-6). Let p = 13 - y. Suppose -2*n + 3 + p = 0. Are 5 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 69 = 111 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 + -99.9748. Round u to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.70491nm in kilometers?\nAnswer: 0.00000000004870491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + 2*i - 1. Let b = -146 - -201. Let v = b - 57. Give a(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + o - 2*o - 1 - o + 1 + o + 2 - 2 + (-5 + 5 - 1)*(o - 2*o - o) - 3 + 4*o + 3 - 8*o + 2*o + 3*o to the form y + q*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 1207064040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -1001100010000?\nAnswer: -1001100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041788491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -15*p**3 + 103*p**2 - 17*p + 200. Give c(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56998*v + 15 = 57003*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1267 and 33?\nAnswer: 41811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 - 2*a. Let d be m(-2). Suppose -2*h + 2 = d, -5 = -3*q + 2*h - 4. Differentiate -4 + 3 - q - 3*o**2 with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*v**3 - 1247*v**3 + 621*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471\/182803 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/150*2)\/((-2)\/24).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 56628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**3*t**2 - 2*d**3*t*y - d**2 + 229*d*t**2 - 230*t**2*y wrt y?\nAnswer: -2*d**3*t - 230*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-60)\/(-150))\/(28\/10)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4\/7 (c) -5.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 + 2928*b\/5 - 535824\/5.\nAnswer: -4*(b - 366)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + 5 - (0 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 14.7. Let f = 11.9 - 21.8. Let n = 9.5 + f. Sort 3, s, n, -2\/9 in decreasing order.\nAnswer: 3, -2\/9, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 492 - 485. Which is the second smallest value? (a) 3 (b) s (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -l + 120. Let h(r) = -6*r - 27. What are the prime factors of h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:21 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 - -183. Let n = -5 + 13. Calculate the remainder when (-1)\/(-4) - (-166)\/n is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 8. Suppose -d*j = j - 15. Calculate the least common multiple of j and (7 - 5)*(0 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.93 + -1.07. Let w = k + 47.0148. What is w rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -3*sqrt(637))**2 - 1*((-5 + sqrt(13))**2*4 - sqrt(13)))*-4.\nAnswer: -22324 - 164*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/341858?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.7407 * -26167\nAnswer: 19381.8969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - -12)\/3 - 14\/(-6). Solve -6 = -a*y + j, 5*j - 27 = -5*y + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17337 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 134?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 4:05 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129153192.\nAnswer: 2, 3, 7, 31, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.2, 5, -0.06, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*o**2 + 6*o - 242*o**2 + 2*o**3 - 6*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 1 + 1)*(-15 + 4 - 11).\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 + -8?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -63. What is g rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1013 divided by 499\nAnswer: 1013\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -184692*n - 1292898. Calculate b(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -9. Let c be (-228)\/(-8)*g\/6. Suppose -c + 15 = -4*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 345\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(-7) - 55\/(-77)*216\/135?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:28 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -270 times 2.1\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 215*u - 992. Calculate k(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 10*f - 4. Calculate b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2, 5*d - y - y - 89 = 0. Let x = d - 10. Solve -3*k + 16 = -x*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 - 19*r**2 + 17*r - 21. Let b(w) = w**3 + w**2. Let n(i) = -2*b(i) - c(i). Let d be n(-18). Suppose 5 - 2 = d*l. Solve 0 = -x - 0 - l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -86 - 10)\/(106 + -1) - (-8)\/(-28).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 m, and 1 z when four letters picked without replacement from fcfcfmccuuz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let l(r) = 140*r**2. Calculate l(p(w)).\nAnswer: 560*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58272?\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/384)\/((-2)\/(-12)*11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1142, -1144, -1146, -1148?\n\"Answer: -2*q - 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98151941 and 1933?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9425\/116)\/25*2\/(-8)*544\/(-68)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1880 and 86435?\nAnswer: 32499560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 472 + -472.5. What is the fourth biggest value in 0, g, 3, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 157, -430 in decreasing order.\nAnswer: 157, -1\/8, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*b = 2, 1274*g - 1261*g + b + 68 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -6a1c?\nAnswer: -6a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -14*9\/(-42). Is q less than -12\/1069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n + 16. Suppose 3*s - 34 - 91 = 2*u, 210 = 5*s - 3*u. Let h = s + n. Solve 3*o + h + 1 = -5*y, 0 = y + o + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (0 - 0)\/2. Let h(v) = -4*v**2 + 56*v. Let g be h(0). Suppose 20 = -4*y, 5*y = -3*m + 3*y - 22. Put b, m, 5, g in ascending order.\nAnswer: m, b, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**4\/4 - 5*s**3\/3 - 2*s**2 + 3*s + 3. Let w be k(-4). Solve -g + 3*i = 9 + 5, -w*g - 18 = -i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-10)*1*(-4)\/(-17). Which is the smallest value? (a) 1 (b) l (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16366051, 32732097, 49098143?\nAnswer: 65464189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s - 449. Let x be i(46). Is (78433\/123)\/(((-2)\/x)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or 35435?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.273913 microseconds in milliseconds?\nAnswer: 0.006273913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8277604?\nAnswer: 2, 199, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6422*v**2 + 4*v + 40. Let y(x) = 6425*x**2 + 3*x + 30. What is -3*k(c) + 4*y(c)?\nAnswer: 6434*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 128. Calculate the highest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - 101. Let z be (-2 - 54\/(-21)) + a\/(-14). Solve -z = 3*y - 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.5. What is the smallest value in m, 3\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 6*v - 12. Solve -v*d + 4*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -12\nAnswer: -47\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19611\/958 + -14\/479. Put v, 1\/3, 1, 0.2 in decreasing order.\nAnswer: 1, 1\/3, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:01 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let k be ((-16)\/(-20))\/((-4)\/(-30)). Let w be k\/(-24) - (-22)\/(-8). What is the closest to -0.1 in l, -1\/6, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29247834 and 594.\nAnswer: 263230506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-652 + 652 - 174*x**2)*(0*x + 0*x - x).\nAnswer: 174*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 52.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1957582 + 7.\nAnswer: -1957575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2)*i*i**1*(i**(-1)\/i)**(-43)*((i\/i**(3\/5))\/i*i**(-4\/3))\/((i*i**(-2\/5)*i)\/i**(-2)) assuming i is positive.\nAnswer: i**(1222\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1302*z**3 - 10747*z + 21523*z - 10776*z.\nAnswer: -1302*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 799*w**2 + 2*w - 13. Let l be u(2). Suppose -21*j + 887 = -l. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 700 and 730275?\nAnswer: 2921100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15513, 15469, 16071, 17643, 20509, 24993?\nAnswer: 31419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 - 185 = 36*a + 99 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v**2. Let h(r) be the first derivative of -5*r**3\/3 + 331. Give k(h(t)).\nAnswer: -225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4, q = -5*b + 331 + 170. Put -6, b, 0 in decreasing order.\nAnswer: b, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21766 divided by -4\nAnswer: 10883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*l + 584 = 8883 + 7572 + 11733 for l.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 7) to base 11.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2605.9933 + -2606. What is s rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + a - 5*a)*(-5429 + 8339 - 6326)*(0 + 1 - 2)*(a - 6*a - 7*a) to the form v*a**2 + z*a + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-2156))\/(7\/(-9856)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201212 - 22?\nAnswer: -202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -28*n**3 + 8*n**2 + 22*n + 104. List the prime factors of m(-6).\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 452\/7. Let k = 115 - 117.01. Let y = k - -0.01. Which is the third biggest value? (a) r (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407001 to the power of 1\/2, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 727407 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12657367*d**2 + 448*d + 2380.\nAnswer: -25314734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*s = 58, 2472*u + 2*s + s - 46 = 2471*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 10*a - 4. What is the third derivative of -k**2 + 21*k**a - 41*k**5 + 38*k**5 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 11, -13, -47, -91?\n\"Answer: -5*c**2 + c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.1. Let t = 67 - 63. Suppose 3 = 3*s, -4*s = -t*g - 0*s - 48. Do g and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 4620.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 12, 20, 28, 36?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -y + 4*m, 3*y + 4*m = 6*m + 191. Suppose 4*r + 4199 = 17*r. What is the remainder when r is divided by y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 63. Let l(v) = -485 - v**3 - 7*v**2 + 489 + o*v**2 + v. Suppose 9*x = -x - 50. What is l(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-15) - 22\/(-165). Let u = -9 + 13. Put q, -3, -2, u in descending order.\nAnswer: u, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2, 5, -31, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80937 is divided by 8093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 371*z**2 - z - 13. What are the prime factors of n(-6)?\nAnswer: 7, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2 - 880*n - 10416 = 0?\nAnswer: -868, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 4*z**2 - 3\/40*z**6 + 4\/3*z**3 + 25*z + 0 - 1\/210*z**7 + 3\/8*z**4 - 7\/60*z**5. Factor o(q).\nAnswer: -(q - 1)*(q + 1)**2*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-10))\/(1\/(-5)). What is the second derivative of 2*b - 4*b**2 + b + r*b**2 + 3*b**2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -16, -26.05, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 81 - 250*l - 122*l.\nAnswer: -372*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.4 - -13.4. Which is the third smallest value? (a) z (b) -6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/9)*b*b)\/b*b**7*b*b\/((b\/(b*b*b**(1\/11)\/b))\/b)*b**2\/b*(b\/b**2*b**(-6\/5))**(-35) assuming b is positive.\nAnswer: b**(8831\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 26. Suppose -2*m + 89 = 3*h, 0*m + 5*m = y. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by -8067\nAnswer: -121\/8067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -8.3 (c) 1\/5 (d) -2\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*h - 21 = 0, 12 = 3*y - 5*y - 2*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r - 1)*(2 - 2 + 2*r) - 3 + 3 + 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 253 = 5*t + 5*m, 3*t - m = -115. Let j = -19 - t. Suppose 0 = -g - 3*g + q - 67, 3*q = -g - j. Round g to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1253 - -2116. Let k = -845 + a. Let i = 2731\/4 - 692. What is the common denominator of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 + 3. Let u = 0.9 + x. Sort 5\/3, u, 0.3 in decreasing order.\nAnswer: 5\/3, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w + 4. Suppose 5 + 4 = 3*f. Is t(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -31943*i + 1852682. Give g(58).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 14*b - 9240. Let p = b - 438. Calculate the smallest common multiple of 40 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 6*f**2 - 5*f + 3. Let y be x(-5). Suppose -i + y = 2*i. Suppose 3*h = -2*p + 19, -14 = -2*p - 2*h - 0. Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.2 + 14. Let h = 2 - -4.8. Let m = h - l. What is the third biggest value in 0.5, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doh when three letters picked without replacement from hodhohhoohhoh?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 76.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63747 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let q(j) be the third derivative of j**6\/60 + j**5\/60 + j**4\/6 + j**3\/3 + 19*j**2. What is 2*f(a) - q(a)?\nAnswer: -2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 11*v + 14. Let u be h(10). Suppose j - f = 6, j - u*f = 6*j + 15. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228025170 + -15.\nAnswer: -228025185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*f*u*w + 27*f*w - 2*f - 20*u**2*w - 634*u**2 - 6*u + 5256 wrt u.\nAnswer: 15*f*w - 40*u*w - 1268*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29, -2100, -11\/2?\nAnswer: -2100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*j - 18, 0*l - 4*j = 3*l - 16. Suppose -2*x = h + h, h = l. Let f(a) be the first derivative of -a**2\/2 - a + 1. Calculate f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2594 + 36417\/14. Suppose -4*d + 4*v = 65 - 21, 3*d = -v - 21. Find the common denominator of b and (-6 - 36\/d)\/(60\/(-34)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/249183 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88 and -0.03.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -16*o**6\/3 + 391*o**3\/3 + 563. What is the third derivative of d(t) wrt t?\nAnswer: -1920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:45 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -21. Let j be 222\/24 + (1 - 10\/8). Let c(y) = -6*y**3 - 9*y**2 - 9*y. Let i(q) = q**2 + q. Determine b*c(w) + j*i(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/3 - 158*s**4\/3 - 1796*s**3 - 5074*s**2\/3 + 5389*s\/3 + 1744 = 0. What is s?\nAnswer: -109, -48, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -399 - -417. Let p = 12 - 10. What is the remainder when g is divided by (-6)\/(-2) - (p - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -730541.6 - 3\nAnswer: -730544.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 + v**4\/3 - 2*v**3\/3 - 2*v**2 - 3*v. Let k(a) = a**3 + 3*a**2 - 3*a - 3. What is -3*i(f) + 4*k(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2 + 3400*k - 6820 = 0.\nAnswer: -682, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/14*12\/52*42\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let p(o) be the first derivative of -o + 3 + 0*o**3 + 0*o**2 + 1\/12*o**4. Let x(c) be the first derivative of p(c). Give j(x(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13212, 13471, 13880, 14439, 15148, 16007, 17016?\nAnswer: 18175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3241.376 - 3243. What is v rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659 + 7*z - 648 + 1957 - 21*z - 650.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 2. Suppose -9 = -d + 2*d + 4*v, -2*d + 9 = -v. Let s(x) = -2*x - 2. Let u(o) = d*a(o) + 2*s(o). Give u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -l - 115, -914 + 321 = 5*l - 4*i. Let k = l - -121. Solve 4*r = -4, 5*v - r = 12 + k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 119 = -5*h, -10*j = -7*j - h - 343. What is the first derivative of -j + 78 - 2*k**2 + 47 + 40 + 4*k**4 wrt k?\nAnswer: 16*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 16. Let b be d*((-1647)\/(-6))\/9. Let c = b - -1323. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l**2 + 10*l - 7. Let g(i) = 5*i**2 - 3*i + 2. Let f(b) = 7*g(b) + 2*z(b). Let s be f(-3). Calculate the highest common factor of s and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87912*r = -87859*r + 318 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36245188 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 29 in increasing order.\nAnswer: -3, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11916 + 11917. Which is the third biggest value? (a) 2 (b) t (c) -10\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3751239 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mldlmldttdllt. What is prob of sequence tl?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -3) + 0 + 0 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*r + 510. Let y = r - 79. Let v(b) = b**2 + 5*b + 8. Give v(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21523 + -21127. Calculate the greatest common factor of u and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103974659416 + -269.8?\nAnswer: -103974659685.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 + 7*q**4\/24 - q**3\/2 - 3*q**2. Let p be c(6). Solve -10 = -p*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8319*t + 8183*t - 544 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32829 and 67423?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 31. Calculate the highest common divisor of l and 4344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (1 + -2) - 0. Suppose 0 = -r*a + 5 - 1. Let s(u) = 2*u - 6 + a + 2*u. Determine s(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2934112028 to the nearest integer?\nAnswer: 54167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (0 - -1 - 2 - (-4 + 53 + -64))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 631 + -254. Let r = w + -373. Which is the nearest to -0.1? (a) r (b) 0.2 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**3 + 71471*n - 1106985 wrt n.\nAnswer: -6*n**2 + 71471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -365377\nAnswer: 4384524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -6, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -27. Let v = y + -11. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 436204.\nAnswer: 3489632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*c = -14, 0 = 5*v + 4*c - 9 - 1. Let b = -34 - -54. Solve -b = 2*j - v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 298.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.5 + -4.5. Let p = 28.2 + r. What is the third biggest value in -0.01, p, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -268188*x**2\/11 - 2*x\/11.\nAnswer: -2*x*(134094*x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*i + i**2 + 29*i)*(-2 - 1 + 1) + 110*i - 113*i + 1 - 11*i**2 + 1.\nAnswer: -13*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -20*g - 50 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, 14, 166, 478, 1004, 1798, 2914, 4406?\n\"Answer: 9*s**3 - s**2 - 14*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/384*38\/57.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 20. Let w = i + -7. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 5670?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 3*i**3 - i**3 - 2 + i**3.\nAnswer: -5*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(143) - (sqrt(143) + sqrt(143)*-5)) + sqrt(143)) + sqrt(143))\/sqrt(11).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 19. Does 11 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 63*d - 28. Suppose -28 = -7*z + 7. Let a(s) = 94*s + 28 - 99 + 29. Let r(o) = z*a(o) - 7*h(o). What is the first derivative of r(p) wrt p?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*l**3 + 14*l**2 + 92*l**3 - 8*l**2 + 103*l**3 + 33*l**3 - 6*l**2.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210569, -210666, -210763?\nAnswer: -210860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36442408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*i = 15 - 5, -20 = 4*i. Solve -f*t + t = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3509, 13932, 31295, 55598, 86841, 125024?\n\"Answer: 3470*i**2 + 13*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 2*x, r - 10 = -3*x - 0*x. Suppose -8*d + 10*d = -5*o + 138, -2*o + 53 = x*d. Calculate the remainder when 107 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 10*k - 47. Is d(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 6*j + 11. Let h be m(-7). Suppose -2 = g - h. Suppose -a = 4*o + g, -6*a + o + 4 = -2*a. Solve 0 = -a*b - b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2566, -2551, -2528, -2497, -2458, -2411, -2356?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6687 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/(a*a**10*a))\/(a**(-2\/11))**(-25) assuming a is positive.\nAnswer: a**(-105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 180*q - 200*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 156*m**3 + m**2. Let z be h(-1). Let r(b) = b**3 - 12*b**2 + 30*b - 68. Let i be r(6). Let d = i - z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 26 (c) 4\/3 (d) 6 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 138 + 108. Let f(r) be the first derivative of r**4\/4 - 4*r**3\/3 - r**2\/2 + 6*r + 1. What is the remainder when f(o) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -7 - -7) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385750.\nAnswer: 2, 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296564 by 74141.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a**6 - 5*a**6 + 2*a**4 - 2*a**4 + 2*a**2 wrt a?\nAnswer: 1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -571*z - 2 + 2 - 10*z**2 + 654*z + 13*z**2 in the form g + s*z**2 + v*z and give v.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.01326 to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 52*z - 436 = 15*z + 100*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 36 = -5*i. Suppose 20 = 5*y, 6*s - 5*y = 2*s - i. What is the units digit of (-1)\/(-3) - ((-80)\/3 - s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.97 + 2. Let o = 4.97 + l. Is o greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = -1 - 29 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - (1 + 5 - 3) - (-2897 + 2893).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:05 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 40. Let s be 10\/6*(3 - 0) + y. Suppose 16 + 21 = 2*l - h, s*l = -5*h + 70. Solve -3*g - l + 5 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42321*z**3 + 40515*z**3 - 82797*z**3.\nAnswer: 39*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 369 + -26666.820215.\nAnswer: -26297.820215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:59 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/27, 11, -4, -3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + s - 1. What is the lowest common multiple of g(1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/3)*w\/((w\/((w*w**(3\/5)*w)\/w))\/w*w)*(w**0\/w)**26*(w*w*w**(-1\/5)*w*w*w*w**(-2\/3)*w)\/((((w\/w**(-2\/9))\/w)\/w)\/w**(-1\/3)) assuming w is positive.\nAnswer: w**(-907\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c - 15. Suppose 4*n + a = -17200000, 5*n + 2*a - c*a = -21500000. What is n rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17953\/12 - -1498. Suppose n + 601 = -w - 847, -w - 1418 = -5*n. Let x = -13009\/9 - w. What is the common denominator of x and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 6*m**2 + m - 4. Let r be l(6). Let x = r + 1. Differentiate -2 + 5 - 4 + 7 - x*k**2 with respect to k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1249590 and 1\/6210?\nAnswer: 11246310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -16 - -9 - ((-2 - 1) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**2 - 4. Let c(u) = 48*u**2 + 27. Let r(g) = -4*c(g) - 27*v(g). Let n(o) = -4*o. Calculate r(n(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-171)\/133)\/(-9))\/((143\/(-10101))\/(-11))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -8, 35, 3 in increasing order.\nAnswer: -8, -1, 1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 203 - 203 - 4*c**4 + (-3*c**3 - 3*c**3 + 4*c**3)*(-c + 2 - 2).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12372, -12377, -12394, -12429, -12488, -12577?\n\"Answer: -x**3 + 2*x - 12373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 552 = -2*y. Suppose 78 = 2*g - y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*h**3 + 6*h**3 - 22*h**3 + (-3*h + 3*h + h**2)*((-2*h + 0*h + 0*h)*(4 - 3 + 0) - h - 5*h + 4*h - 46 + 6*h + 46 + (-2*h + 0 + 0)*(4 + 3 - 3)).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:47 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 41 = -u. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -187, -168, -131, -70, 21, 148?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 355323.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33670500079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1256*n - 5022*n + 148*n)*(-3*n + 2*n + 0*n).\nAnswer: 6130*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76 - 7 + 1)*(0 + 4 - 3)*((-1 + 1 + 1)*(0*b - 4*b + 3*b) + 4 - 4 + 2*b - 49*b - 53 + 53) in the form u*b + g and give u.\nAnswer: 3936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7055043 - -327?\nAnswer: -7054514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/45 + 21 + 142810\/150 is divided by 244?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2744\/5*k + 1\/5*k**4 + 588\/5*k**2 + 0 - 42\/5*k**3.\nAnswer: k*(k - 14)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52251787837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22446497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-56)\/21*1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 3*z. Let f(y) = -9*y**2 + 58*y + 219. Let h(j) = -5*f(j) - 20*k(j). Find l such that h(l) = 0.\nAnswer: -3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 11 + 1351*b**2 - 9 + 2246*b**2 in the form r + u*b**2 + g*b and give u.\nAnswer: 3597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 58 (c) 5 (d) -2\/61 (e) 4\/13 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:57 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.5 (b) -1\/83 (c) 2\/9 (d) -1\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12.7, 5.5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9574 + -0.0426. What is the nearest to -0.02 in -0.2, 2, u, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)*((-20)\/(-15))\/(-1). Let x be 1\/1*(5 + n + -7). Let s(a) = -4*a**2 - 8. Let v(f) = 12*f**2 + 23. Calculate x*v(p) - 17*s(p).\nAnswer: -4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*z + 14880 = -55*z - 72*z for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -115, -84, -41, 14, 81, 160?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 27*d**3 + 33*d**2 + 27*d - 30.\nAnswer: -3*(d - 1)**2*(d + 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**4 - s**2 + 11*s**2 + 284*s**3 - 319*s**3.\nAnswer: 5*s**2*(s - 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n = 16. Let b(x) = x**3 + 3*x**2 - 34*x - 118. Let g be b(-4). Solve -g*q = -2*q - n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*b + 0*b**2 + 16*b + 0*b**2 + 2 - b**3 + 85*b - b**4 in the form d*b**4 + i*b**2 + m*b + t + k*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p = -2*w - 9, -w + 3*p - 9 = 0. Let h be (-10)\/(2 + -4 + 0). Suppose h*i - 3*i = 5*f - 137, 4*f + 4*i - 132 = w. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037926747?\nAnswer: 3, 31, 32665879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 505 and 135239.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25968, -25981, -25994?\n\"Answer: -13*q - 25955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/15 - 4\/6 - 11. Let a = q - -13. Is 1139 - (-2 + a - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/3385 and 73\/1650.\nAnswer: 1117050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 6054*a**2 - 2120715*a + 206189388 = 0. What is a?\nAnswer: 207, 1604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - g + 2. Let y be (3*1)\/(3 + -4). Let m be ((-4)\/(-10))\/(y\/15). Determine u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y. Let u(p) = -2*p**2 + 3*p**2 + 0*p**2 + y*p + 5 - 7*p. Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-11 - (-11)\/(44\/24)). Find the third derivative of 10*s**5 + 0*s**m + 191*s**5 - 20*s**5 - 256*s**2 + 78*s**5 wrt s.\nAnswer: 15540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t = -5803727 + 5800857 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 + 9832*i**3 - 29532*i**2 = 0. What is i?\nAnswer: -2461, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 1:47 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 20\/88650119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2 + 1160*w - 28979. What is z(95)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 7613805?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 221*n - 225*n - 33, 4*n - 7 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5, -15, 5, -2, 16, 344.\nAnswer: -15, -5, -2, 5, 16, 30, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*-10005\nAnswer: 30015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Suppose 3*i - 36 = 2*b, 15*b + 37 = 2*i + 18*b. Find the first derivative of 4159*v - 4159*v - 12*v**y + i wrt v.\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 52. Solve g = y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00126419 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -704, 1, 4, -4, -0.4 in ascending order.\nAnswer: -704, -4, -0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -1\/3*a**3 + 29*a + 7*a**2 + 1. Calculate the remainder when i(13) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*i - 24 = -3*o, -4*o + 5*i = -15. Suppose x = o*x. Find p, given that 0*p + x*p**2 + 2*p**2 + 2*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 15*u**2 + 9*u - 37. Let f = 33 - 18. List the prime factors of a(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1442 and -33\/7796.\nAnswer: 5620916","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:15 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/35 or -1407?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*-22.\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 385 = 4*t, -t + p + 85 = 2*p. What is t rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/66, 12656, -7, 0.5, 2\/9 in ascending order.\nAnswer: -7, 1\/66, 2\/9, 0.5, 12656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 2?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1854.1999458 + -1872.19995. Let b = 17.83 - -0.17. Let n = v + b. Round n to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1)*(-6)\/18*-3. Let x be ((-2)\/(u\/47))\/((-27)\/(-54)). Let a(g) = -53*g + 7. Let d be a(1). Is d less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78569 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3500 = 69*i - 74*i. Calculate the lowest common multiple of 7 and i.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c + 11 = -3*n, -2*c - 9 = 5*n. Calculate the remainder when 142 is divided by 3\/(c*(-2)\/24).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-10))\/1*25\/45.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p + 324. Give w(20).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 4*q + 2. Let w be z(4). Let a be 4 + (-108)\/3 - 3. Let i = -35 - a. Solve -h - w*h = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + 3*i)*(-2 + 1 + 0) - 7*i + 25*i - 23 + 28.\nAnswer: 19*i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6006 divided by -629\nAnswer: -6006\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -406, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 4*c + 3*r - 139, -9 = -c - 3*r. What is the highest common factor of 198 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -735.926659 to the nearest integer.\nAnswer: -736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/w**(-2)))**(7\/2))**(-8))**(-22) assuming w is positive.\nAnswer: w**(-1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1992208300 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1424, -11359, -38322, -90827, -177388, -306519?\n\"Answer: -1419*s**3 - 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*q**6 - 16*q**2 - 52*q**2 + 3*q**6 - 12*q**2 wrt q?\nAnswer: -8280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -2 (b) -3\/13 (c) -1\/4 (d) 4\/137 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -669*h - 710*h - 10 + 1478*h + 10. Let u(l) = 3*l - 3*l + l. Determine u(k(x)).\nAnswer: 99*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215232 and 34869?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 27*s + 11*s. Suppose -s*t + 2*t - 9 = f, 3*f + t = -2. Solve -4*r - 2*j + 8 = 0, r - f = 2*j + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(112\/21) - (-28)\/(-8). Which is smaller: 398 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2086344 - -4630344. Suppose -15*l + d = -17*l. Round l to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = -z - 0, -z = 2*k - 5. Let p be 274\/3*(2 + z\/2). Suppose -p = -l - 31. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222171508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 433, 1576, 3201, 5080, 6985, 8688, 9961, 10576?\n\"Answer: -38*z**3 + 469*z**2 + 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*l - 2 = 0, -3*j + l = 2*l. Let m be (j - 4)\/(3\/(-6)) - -2. Let t(z) = -z**2 - 6*z - 5. Let d be t(-4). Solve d*c + m = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*n + 12. Let f be (36 - -1)\/(6 + n). Let t = -20 + f. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -969*k**2 - 217*k - 1.\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 - c**4 - 2*c**4 + (-126*c**2 + 3068 - 3068)*(-3*c**2 + 4*c - 4*c) to z*c**2 + v + b*c**3 + n*c + x*c**4 and give x.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 206*n + 2. Let l(w) = -w**2. What is b(l(t))?\nAnswer: -206*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p = 55. Let y = p + -5. Calculate the greatest common factor of 42 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/((2\/(-8))\/(35\/(-56))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4675)\/7480)\/(1\/(-168)*3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + -2 - 6\/2. Suppose 0 = c*z - 4 + 1. Solve -7 + z = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -1\/63 (c) -1.1 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 23739?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*sqrt(152)\/((sqrt(8) + (sqrt(8) - sqrt(40)\/sqrt(5)) + sqrt(8))*-3 - sqrt(8)))**2*-3*-2.\nAnswer: -360*sqrt(19)\/7 + 11454\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120))\/sqrt(12))\/(sqrt(2) + (sqrt(10) + sqrt(10) + sqrt(30)\/sqrt(3))\/sqrt(5)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90925440 divided by 42688.\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-153)\/2)*(232\/(-60))\/58*5\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6458 + 220*z - 6458)*(z + 1 + 2 - 1 - 2*z).\nAnswer: -220*z**2 + 440*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 2*x**2 - x**2. Suppose 3*y - y = 0. Let l(u) = -19*u + 20*u + 0 + y. What is w(l(m))?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 255672798 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from guuuuuuguguu.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 22 = -6*b. Solve 2*t - c + 0 = 4, -5*t + b = -3*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 4. Give f(-29).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Find the second derivative of -5*n**4 + 4*n**4 + 4*n**4 + a*n wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 7*v**2 - 7*v - 8. Let y be a(8). Suppose c + 5*c + 53244 = y. Let h = c + 2064. Round h to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0 + 1\/72*m**4 - 1\/252*m**7 - 7\/360*m**5 - 11*m**2 + 1\/2016*m**8 + 1\/80*m**6 + 0*m + 0*m**3. Suppose j(o) = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*p = -12 - 7, 13 = n - 2*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39317 - -92796. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3742 rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10105 (base 8) to base 3\nAnswer: 12201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1274 - 705. Calculate the remainder when m is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145537.00003 + -145539. Let u = 2 + j. What is u rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 822. Is r\/14 + (-2)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 15835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 48*w**2 + 102*w - 67. Calculate n(50).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25129 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28280 and 450460?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4114))\/(sqrt(98)*-2 + sqrt(98)).\nAnswer: -22*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34b7 (base 13) in base 4?\nAnswer: 1303321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2088 and 13224.\nAnswer: 39672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 - 186. Solve z = 5*d + 3*y + 10, 0 = 3*d - 6*d - y - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -13*x + 1350. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4194*c - 3765*c + 6006 = 0 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -4. Let m(f) = -f**2 - 9*f + 13. Let z be m(-10). Suppose n*d + z = 13. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u - 2. Suppose 23 + 5 = -4*z. Let c = z + u. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631388557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231447093 divided by -4.\nAnswer: 231447093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -z + 3, 10*u = 2*z + 7*u - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*f + 3*a, f + 4*a - 48 = -33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -174\/3937025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**5\/20 - m**4\/12 + 3*m**2\/2 + m. Let d = 335 + -335. What is x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 1.46320074.\nAnswer: 1.06320074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (316\/(-69))\/((-148)\/18870). Let w = 584 - h. Let l = -8 + 8.3. Is w greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 45. Determine v(-23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/931 and 3\/24 - 14\/(((-400)\/(-41))\/(-5)).\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -48 (b) -1\/9 (c) 139 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 - 10*j**2 + 7*j + 16. Let y be q(-5). Suppose -5*u - b + 100 = 0, -4*u - 17 = -b - y. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 7*i - 3*i + 6*i to the form o + y*i and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*g - 10 = 0, 2*j + 314699*g = 314697*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 - (-430)\/(-50)) + 9\/15. Solve 2*n + 4 = j - 5, 3*n + 3 = -l*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -8*f**3\/3 + 6*f**2 + 9*f. Let u be s(11). What is the remainder when u\/(-5) - (-11)\/55 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - c**2 + 34253 - 34339 + 5*c**3 + (0 - 1 - 1)*(2*c**2 - 4*c**2 + 0*c**2)*(-3*c + 0 + 0) to h*c**2 + m*c + q*c**3 + u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28432987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-2\/15)))\/n*n*n*n)\/n**(1\/3)*(n\/n**(-1\/3))\/(n*n**10) assuming n is positive.\nAnswer: n**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 81 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 69\/(-12) - 2\/8. Suppose 3*s + 15 = 0, -2*s + 3*s = 5*y - 40. Let h be 380*y\/((-105)\/k). What is the greatest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 985, 984, 983?\n\"Answer: -t + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97.1 + -102. Let q = -5 - i. Which is the nearest to 3? (a) 2\/3 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1 + 5. Let v = 227 + -226.935. Let o = v + 1.935. Which is the nearest to 6? (a) n (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13508489 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {o: 3, x: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j - 5. Let h(d) = d - 8 + 12*d - 2*d. Let m(k) = -5*h(k) + 8*i(k). Let n(p) = 2*p. Calculate m(n(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.06, -25\/6?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 19205855\nAnswer: 3\/19205855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -736, -1469, -2202, -2935?\n\"Answer: -733*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - 5*h**2 + h**2 + (-2 - 6*h + 3*h + 4*h)*(20*h - 20 + 20).\nAnswer: 15*h**2 - 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 107. Suppose 0 = -3*u - u + t. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-40)\/16*-3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*i - 6*i = -22, -12 = -4*i. Let s(h) = 3*h**2 + 6*h + 4. Let v be s(z). Solve n - v*o - 23 = -6, -16 = 4*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564*c**3*n*q - c**2*n**3 - 2*c*n**3*q - 3063*n**3*q - q wrt c?\nAnswer: 3384*c*n*q - 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/3, -23\/6.\nAnswer: -23\/6, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240477, 240486, 240499, 240516, 240537, 240562?\nAnswer: 240591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 6 - (-2 - 2) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 + 5*r**3 + 38*r**2 + 11*r**3 - 25*r**3.\nAnswer: r**3 + 38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133.2 and -544.\nAnswer: 72460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*-5*-6*5)\/((sqrt(240)\/sqrt(36))\/(sqrt(6) + (sqrt(6) + sqrt(6)*1)*6)).\nAnswer: -5850*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 7491009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + -1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 49\/6 of a week?\nAnswer: 1372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d*d**(-10))\/(d**(-15))**17)**1 assuming d is positive.\nAnswer: d**241","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10000?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9791, 9155, 8519, 7883?\nAnswer: 7247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c03a + 2b?\nAnswer: 7c068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1)\/(-2 + 476\/240). Let m be (l\/(-9))\/((-1)\/6)*-2. Let q = m + -12. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806456006 to the nearest integer?\nAnswer: 42502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36363 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k - 16*k**3 + 4*k**2 - 27*k - 21*k.\nAnswer: -16*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 71. Let z = c + 90. Let s = z + -39. Is s != 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390495?\nAnswer: 5, 47, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 419*a + 3770. Let p be l(-9). Are p and 2\/109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffaffffffa. Give prob of sequence af.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 477 or 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145883 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1889415 and 9?\nAnswer: 1889415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86853 - 86853 + 711*v)*(3*v**3 - 3*v**3 + v**3).\nAnswer: 711*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = -5*a - 12, s = -3*a - 10. Let g(x) = 5 - 5 - x**s. Let b(i) = -10*i. Let l(t) = 3*t. Let j(v) = -5*b(v) - 16*l(v). Give g(j(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 26 = -2*r - 4*c, 5*c + 1 = 2*r. Let n(m) = 3*m**3 - m + 2. Let f(l) = -2*l**3 - 1. What is r*f(d) - 4*n(d)?\nAnswer: 2*d**3 + 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/5 - 69*j**3\/5.\nAnswer: 3*j**3*(j - 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l + 6. Is 11 a factor of (-113)\/l - 5\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245905?\nAnswer: 5, 11, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 5\/(7\/(-84)*-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 5}. Give prob of picking 2 o and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 4*q + 4*q + (0 + 3 - 2)*(-2 - 2*q + 2) + 4*q - 2*q - q - 2*q + 0*q - 2*q + (-4 + 4 + 2)*(3*q + 0*q + q) + 3*q + 3*q - 4*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 0 = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437\/4 - 109. Suppose 0 = -3*j - 4 + 10. Determine z, given that 1\/2*z**j + 1\/4*z - 1\/4 - 1\/4*z**4 - 1\/2*z**3 + w*z**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1562)\/57013)\/((-360)\/1460)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 34 + 29 = 0. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -43. Suppose 0 = 5*g - 5*y + 1 - 66, 0 = 5*g - 2*y - t. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 3. Suppose 0 = -5*k + 31 + 9. Let d(q) = -5*q + 4. Let z(n) = k*f(n) - 5*d(n). Let y be z(-10). Let b(w) = -w**2 - 4*w + 7. What is b(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(96 + -94) + 7\/15.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-8) - 121\/(-1). Suppose 0 = 4*n + c + w, 2*c + 0 + 93 = -3*n. Let i = 55 + n. Calculate the highest common divisor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 2\/9, 0.1031?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1521498582130+0.05\nAnswer: 1521498582130.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/147255 + 16361\/98170. Find t, given that j*t**2 - 7\/6*t + 5\/3 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 21. Let s be v(-12). Is 2334\/s*(140\/(-8))\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 3316. Let i(t) = 55*t**2 - 3. Let a be i(3). Let h = u - a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/14)\/x**17)\/(x**(-3\/4)*x*x*x**(-21)*x) assuming x is positive.\nAnswer: x**(55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 10. Let k(j) = -4 - j - 10*j - j**2 + 2*j - 4. Let v be k(-8). Solve v*x + i = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t = 48*t + 87. Suppose 40 = -3*s + 160. Suppose 4*y = -0*y + s. What is the remainder when t is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 13760.\nAnswer: 13760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/8*(-140 + (-269360)\/(-1911)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -34*g**3 - g**2 + 182*g - 2. Let s(y) = 2*y**3 + 2*y**2 + y + 1. Let t(n) = -r(n) - 2*s(n). What is the second derivative of t(c) wrt c?\nAnswer: 180*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 8*y - 7. Let v be h(-6). Solve 0 = -5*q + v*c, 0 = -5*q + q + 5*c - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 47.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 45*d + 343. Let m(r) = -164*r - 1031. Determine 2*m(j) + 7*s(j).\nAnswer: -13*j + 339","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of w**3 + w**2 - 65238*w - 6028153?\nAnswer: 3*w**2 + 2*w - 65238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584700.\nAnswer: 2, 3, 5, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*f + f. Suppose -f*z + 5*z + 3 = 0. Suppose -112 = -16*v + 2*v. Solve v = -7*q + z*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*((sqrt(1900) - (sqrt(1900) + -1*sqrt(1900)*6))**2 + sqrt(1900)).\nAnswer: 120*sqrt(19) + 820800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.21863919994 - 0.15\nAnswer: 0.06863919994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/108)\/(146\/38544)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -22*d**3 - 8*d**2 + 6*d - 12. Let m(p) = p**2 - p. Calculate -6*m(y) - v(y).\nAnswer: 22*y**3 + 2*y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 145, 578, 1313, 2362, 3737, 5450, 7513?\n\"Answer: 2*m**3 + 139*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -g - u + 80, -3*u - 158 = -g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 512361098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*g - 15 = 0, 36 = -4*z - 4*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*h + 2195 + 82 = 121*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3681*j + 3456*j - 5408*j)*(-j**2 + 0 + 0)*(-5*j - 2*j + 5*j).\nAnswer: -11266*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4658.68 weeks to hours.\nAnswer: 782658.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, y: 12}. Give prob of picking 2 b.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*y - 102*y = -3270. Suppose y + 1067 = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2964, 6037, 9110?\nAnswer: 12183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*m**2 + 3)*(-2*m**2 + 7*m**2 + 0*m**2).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4152 (base 8) to base 13.\nAnswer: c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -7 - (-2 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257 + 254 - 5*x - 2*x**2 + 3*x to the form h + l*x + d*x**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61 - (-1 - 0\/(-4))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15315322\/521 - 29396. Let f = q - -23433\/1042. Let l = 6612 - 39799\/6. Find the common denominator of f and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15523 (base 7) in base 4?\nAnswer: -1010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 36 - 20. Let i be 808\/9 + x\/(-63). What is the greatest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1236208 (c) -1.4 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6906056 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, q: 1, r: 5, u: 1, s: 2, t: 2}. Give prob of picking 1 t, 2 s, and 1 u.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3. Let w(n) = -6*n**3 + 1 - 9 - 4 + 4*n**3. What is -3*s(h) + w(h)?\nAnswer: h**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 342*m**2 - 2 + 0 to the form s*m + j + v*m**2 and give v.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 19*j - 1162. Calculate i(60).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Is (s - -3)*(341 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g - 2*g**4 + 0*g**2 - 2*g**3 + 2*g + 2*g**2.\nAnswer: -2*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -18*d**5\/11 - 346*d**4\/11 + 302*d**3\/11 + 426*d**2\/11 - 284*d\/11 - 80\/11 = 0.\nAnswer: -20, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2 + 3*u + 1. Let s be m(3). Let g = 1 + s. What is the first derivative of g*f - 2*f - f - 2 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 18*s + 11 to n*s + x and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 167*f**6 - 1475*f**3\/3 - 27. Find the third derivative of l(k) wrt k.\nAnswer: 60120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -629399*g**2 + 16*g - 48. Let u be s(4). Let j = u + -2379632. Round j to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (146 - 141) + (-20 - 0)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:18 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -526 + 547 + -3 + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2 - 36598*k + 915575 = 0.\nAnswer: -36623, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 220*v**2 - 4636216*v - 1348736 = 0. What is v?\nAnswer: -16\/55, 21074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 179188772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 51, 2 in descending order.\nAnswer: 51, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/21*0 - 430\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6245457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839597.\nAnswer: 11, 127, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 8*z**2 - 5*z - 9. Let q be m(7). Let l(f) = -2 + 0*f**3 - 4*f - 2*f**3 + 5*f**3 - 2*f**3 + q*f**2. What is the units digit of l(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dipq when four letters picked without replacement from xqpdxpi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-2)\/(-8)*-2. Suppose -b*k - 3*i - 1 = -4, -i = -4*k - 1. Which is bigger: k or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060783261 rounded to 5 decimal places?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1332.544 times -5\nAnswer: -6662.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 274406*n\/3 + 6589200.\nAnswer: -2*(n - 72)*(n + 137275)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 + 102?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/8 + (-10)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 13.8. Let n = o + 6. Which is the third smallest value? (a) -0.5 (b) 0.07 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + u + u - 3*u + 2199664 - 2199664 + 2177*u**2 + 4*u**2 + 0*u**2 - 3*u**2 + (u + 1 - 1)*(-4*u + 4*u - 2*u).\nAnswer: 2178*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 67, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 1161*h + 58703. Give s(54).\nAnswer: 1841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 46 + 45)*(-10 - 5*a + 10) to the form y + r*a and give r.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2333845*a**2*p + 3541*a**2 - 178 with respect to p.\nAnswer: 2333845*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2207*d = -3930*d - 325261 for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 12:41 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 187 + 173 = 0. What is the nearest to z in -10, -1\/7, -2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.19, -2535, 3, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in hours?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27570 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 110\/(-11) + 56\/6. Let r(l) = l + 4. Let d be r(0). Suppose w = -w + 2*k - 6, 6 = -w + d*k. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-9))\/a**(1\/4))**31 assuming a is positive.\nAnswer: a**(-1023\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 796588601141 and 0.4.\nAnswer: 796588601141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(104\/(-104)*8*(-3)\/(-132))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 310313 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1122211 and 53\/7.\nAnswer: 7855477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 50 - 29 + 156 + 26*a**2. Let j(f) = 9*f**2 + 59. Let b(p) = -8*j(p) + 3*u(p). Differentiate b(t) wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - (-7 + 1 - -10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 209933054 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -130, -6, -5, -1, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 - 25*o**2 - 23. Let p(s) = 2*s**3 - 11*s**2 - 12. What is 4*b(w) - 9*p(w)?\nAnswer: -2*w**3 - w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 10 = 0, 4 - 28 = -o - 5*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117586128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2 + 7 + 10087*h - 1608*h to m + y*h and give y.\nAnswer: 8479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130e (base 15) to base 9.\nAnswer: 5515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j - 56. Suppose -7*a + 231 = -91. Let t = j + a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-3*4\/(-144)*(-15)\/(-150)*-15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45522*s**2 - 15485 wrt s.\nAnswer: -91044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 5*l + 2. Let q(a) = -2*a**2 + 6*a - 2. Let i(f) = -3*b(f) - 4*q(f). Let z be i(-9). What is the closest to -3 in -4\/9, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1259851833 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-9)*(-2)\/8. Let a be -1*(-2)\/(-6)*(4 - 1). What is the closest to a in 3\/4, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35090 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:09 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + u + 3 + 18, 5*t - 129 = -u. Suppose 3*s = 4*s + v + 1, 0 = 5*v + t. Suppose -35 = -y - 4*y. Calculate the remainder when y is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k + 6. Let u(v) = 3*v - 2. Let c(y) = 2*r(y) + 7*u(y). Let j be c(2). Suppose 0*l + 2 = -l + q, 0 = -3*l - j*q + 1. Is l bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {l: 4, r: 4, a: 1, d: 1}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6*-2*4\/4. Let t be x\/2 + 88\/2656*14. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, 4\/7, -2\/3, -5 in increasing order.\nAnswer: -10, -5, -2\/3, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvva when four letters picked without replacement from avraayrvarvay?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.3. Suppose -6*k = -5*k - 5. Suppose -k*r = 5*h - 20, r = 4*r - 4*h - 12. What is the closest to -1\/4 in r, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*u - 19, 4*q + 5*u - 3 = -28. Let i(p) = -4*p**2 + 11*p - 1. Let z(x) = x**2 - x. Let m = -2 - -1. Let g(d) = m*i(d) - 5*z(d). Give g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -364 (b) 0 (c) 2\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-544)\/(-204))\/((-1)\/12))\/((-4)\/30*5)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 177\nAnswer: 4\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0, 3509, 3\/8 in decreasing order.\nAnswer: 3509, 3\/8, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*f - 20, 6*f - 7*f = 5*z + 6. Let d = 5 + -3. Let x(b) = 3*b**3 + 0*b + 0*b + d. What is x(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.07 - -0.07. Let s = -2 - -4. Let i = 5.3 - 5. What is the second biggest value in s, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*t - a, -3*t - 2*a + 0 = -101. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*b**2 + 0*b + 375*b**3 - 113*b**2 - 2 + 0*b + 180*b**3 to the form u*b**3 + k*b**2 + m*b + l and give u.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -28096 - 27*t**2 + 56196 - t - 28100 - 36*t**4 in the form s*t**4 + a*t**2 + d + m*t + f*t**3 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.21 rounded to one dp?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and -10971489.\nAnswer: -10971488.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 + 3135*u**2 - 579600*u + 26264000 = 0 for u.\nAnswer: 67, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83438, -166565, -249694, -332825, -415958, -499093, -582230?\n\"Answer: -j**2 - 83124*j - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb + -8?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10280 and 4936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -7 + 1. Suppose -13 = -3*x - 1. Calculate the remainder when a is divided by (x\/(-12))\/((-2)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -16\/118795?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/((-50)\/75)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*s + 4 + 4, s = 3*i - 2. Suppose 0 = 5*o + q - 5, 3*q = -0*o + 4*o + 15. What is the nearest to o in -2\/5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**5\/5 + y**4\/12 - y**3\/6 - 7*y**2\/2 + 2*y + 20. Calculate the remainder when z(3) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrv when three letters picked without replacement from {y: 1, v: 2, r: 2, s: 1, p: 1, c: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)\/(sqrt(7)*-2) - (sqrt(165) - -1*sqrt(165))\/sqrt(5))*2)\/((3*-1*sqrt(121))\/(sqrt(11) + (sqrt(121) + sqrt(121)*2)\/sqrt(11))).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -33*y - 238. Suppose 998 = -5*n + 3*c + c, -5*c = -4*n - 793. Let x = n - -1822\/9. Sort x, y, 1, -3.\nAnswer: y, -3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 1 (c) 0.1 (d) 2 (e) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 0, 5 in decreasing order.\nAnswer: 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 45)\/2 + 2. Let u = 3 - b. Let l = 4 + u. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1055 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78514, 78751, 78988, 79225?\n\"Answer: 237*i + 78277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81600 and 150?\nAnswer: 81600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -a79?\nAnswer: -a6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let v be h(3). Suppose -v*i = -5*c, -i - i + c = 0. Let l = i - -14. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*z + 432*z**2 - 311*z - 2326*z**2 - 2454*z**2.\nAnswer: -4348*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21, -24, 1, 993 in descending order.\nAnswer: 993, 3, 1, -21, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031 (base 5) to base 11.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*z, -2*r + 3*z = -2*z + 9. Let d be (-4)\/(-14) - (-184)\/(-56). Let f = -11.053 - -3.053. What is the third biggest value in r, d, -2, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6560466751?\nAnswer: 349, 18797899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*z**5 - 6*z**3 + 14\/3*z**2 + 0 - 4\/3*z + 10\/3*z**4.\nAnswer: -2*z*(z - 2)*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 0.2, 2\/35 in descending order.\nAnswer: 0.2, 2\/35, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1648414879 to the nearest integer?\nAnswer: 40601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1114*s = -1116*s - 2*h - 2054, 5*h - 4135 = 4*s. Which is smaller: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(17) + -2)*2)**2.\nAnswer: 32*sqrt(17) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 21 = g - 9, 10 = -2*a. Suppose -74 = -g*b - 4*j, 3*j - 45 = -b - 2*b. Solve -b = 3*h - 3*s + 2*s, s - 18 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*u**2 - 68*u + 68*u to g*u**2 + z*u + x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 187, 765, 1729, 3079, 4815, 6937?\n\"Answer: 193*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 7. Let v(y) = -11 - 6 - 4 + 19. Determine -2*p(q) - 7*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14872)\/(-1001))\/((-15)\/((-315)\/(-6)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5 + 72*r**4 + 244*r**3 - 720*r**2 + 400*r.\nAnswer: 4*r*(r - 1)**2*(r + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {p: 7, d: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*p + 120, 4*a = -2*p + 12402 - 12366 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-14)*x*x**(-8)*x)\/(x**(-1\/6)\/x)**(-31\/2))**(-1\/3) assuming x is positive.\nAnswer: x**(457\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -108928068.\nAnswer: 43571227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-23)*k)**(-28)*k**(15\/7)\/k**(-2\/49) assuming k is positive.\nAnswer: k**(28919\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -47 (b) -0.022 (c) -6\/13 (d) -0.5 (e) -4 (f) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:17 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 315 = 43*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**8\/336 - d**7\/105 + d**6\/60 + d**5\/15 - d**4\/24 - d**3\/3 - 6*d**2. Factor k(n).\nAnswer: -(n - 1)**2*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91706, -183410, -275114, -366818?\nAnswer: -458522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389079 is divided by 1148.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6555266.\nAnswer: 2, 19, 172507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 1344 = 218*n - 192 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138496 and 768?\nAnswer: 415488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 477 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-38 - ((12 - 7) + 0))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 92 = 2*u - 4*d, 4*d + 12 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644788.\nAnswer: 2, 331, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53984*-0.3\nAnswer: -16195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.064 - 74.936. Let k = 80 + m. Which is the closest to 1? (a) -2 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258875.4 centuries in decades?\nAnswer: 2588754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 637*x**4 + 3*x**2 - 9*x + 66. Let k(g) = -637*g**4 - 4*g**2 + 11*g - 67. Let j(y) = -3*k(y) - 4*s(y). Find the second derivative of j(t) wrt t.\nAnswer: -7644*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 + 235*h**3\/4 + 3537*h**2 + 9860*h - 13456.\nAnswer: (h - 1)*(h + 4)*(h + 116)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/37, -5.1, -2, -0.19, 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5498.9661052 and 8397.\nAnswer: 13895.9661052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) -4 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139323971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -29. Let d be (-485)\/30 - 2\/a. Which is greater: d or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41.26815 centuries?\nAnswer: 4126.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -406*i + 826*i - 415*i. Let d(j) = -j. Let p(m) = 6*d(m) + v(m). Let f(a) be the second derivative of -14*a**3\/3 + 4*a. What is f(p(n))?\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 4. Let t be z(-4). What is the third derivative of h**3 - 6*h**2 + t*h**2 + h**2 + 3*h**3 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4.9749, 2\/11, -22 in decreasing order.\nAnswer: 2\/11, 0, -4.9749, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-4))\/((1 - -1)\/(-10)). Let x(m) = -m**2 - 6*m + 3. Let g be x(-6). Let i(r) = -4*r**3 + 5*r**3 + 0*r**3 + 10*r**2 + 6 - 2*r**g. Calculate i(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -0.3, -5, -52?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 27.3. Let o = i - 3.3. Let v be 1\/(-25)*(-4)\/(-4). Which is the closest to 0? (a) v (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 172. Is o > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-243)\/6 - (-5)\/10. Let k be (v\/(-50))\/((-14)\/(-20)). Let h = 86\/63 - k. Is h <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 26. Let r(b) be the second derivative of -b**5\/60 + 51*b**2\/2 - 134*b. Let t(s) be the first derivative of r(s). Calculate i(t(k)).\nAnswer: k**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -641 at least as big as -644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 3, 4\/39, 0.4.\nAnswer: 4\/39, 1\/5, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14677*g**5*t + 1918*g**4*t - g**2*t - 2*g**2 + 116*g*t - 51*g + 2*t + 156 wrt g?\nAnswer: 880620*g**2*t + 46032*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2. Let q(n) = -2*n + 43. What is q(s(i))?\nAnswer: 2*i**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -12215.477174 to 1 decimal place.\nAnswer: -12215.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**4*x**2 + 120*f**3*x**3 + f**2 - 176*f*x**3 wrt f.\nAnswer: -96*f*x**2 + 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*d**2*z**3 - 2*d**2*z - 2*d**2 - 74*d*z + 2*z**5 wrt z.\nAnswer: -90*d**2*z + 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 12, 3, 2, -7833 in increasing order.\nAnswer: -7833, -4, -3, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 560.65*-0.31\nAnswer: -173.8015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98 - -274?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2090422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 11616 in ascending order.\nAnswer: -3, -1, 11616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**11)\/(v**(2\/3)\/v)*((v\/((v**(-1)\/v)\/v))\/v)\/(v*v**(6\/5)) assuming v is positive.\nAnswer: v**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 0, -6*h + 3*h - 26 = -4*v. What is the biggest value in -1\/5, -5, h, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94055420492+76\nAnswer: 94055420568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5)*-1*6.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -237\/5. Suppose -113 = -26*o - 9. Sort n, o, -0.14.\nAnswer: n, -0.14, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5066 and 30?\nAnswer: 75990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/6)\/((-1)\/8). Let j(h) = h**2 + 12*h + 5. Let n be j(u). Let w be (-3)\/(2 - (-22)\/(-8)). Which is the biggest value? (a) w (b) n (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 150616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9868942 - -17668942. Round u to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -521, -522, -523, -524?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1932, 2239, 2840, 3807, 5212, 7127, 9624, 12775?\n\"Answer: 12*a**3 + 75*a**2 - 2*a + 1847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -1) + 0 + 6. Suppose x - 3*m - 628 = -x, f*x - 4*m - 1260 = 0. Suppose -2*z = -0*z + 2, 5*k + 3*z - x = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -189*z**3 - 306. Let n(r) = 142 + 178 - 74 + 60 + 188*r**3. Let h(j) = 4*f(j) + 3*n(j). Find the first derivative of h(o) wrt o.\nAnswer: -576*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1180772*h**2 + 272248 with respect to h.\nAnswer: -2361544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*3 - sqrt(495))\/sqrt(9) - (sqrt(55) - (sqrt(495)*-1)\/sqrt(9)))\/((sqrt(135)\/sqrt(3)*-3)\/((sqrt(99) - sqrt(99)*-2)\/sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 - 7*g**2 - 1 - g**2 + g**4 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**2 + 121*r + 995. Let k be d(-8). Solve 854*u - k*u = -35 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 6 - 6. Let h be (-18)\/6 + d\/2. Put -4, 5, h in increasing order.\nAnswer: h, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(1\/3))\/f*f)\/f*f**(-6)*f)**40*((f**(2\/7))**22)**(-9) assuming f is positive.\nAnswer: f**(-5668\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 68 = 2*u. Let s = 35 + u. Solve 2*c = -0*c - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 35 - 17 - 2\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2375, -2373, -2371, -2369, -2367, -2365?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3\/3 - 9*q**2\/2 - 10*q - 3. Let m be c(-8). Let w = -3 - m. Sort -4, w, 1.\nAnswer: -4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from udldpgpddadgpg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202240 and 135090?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x + (0*x + x + x)*(-4 + 3 + 3))*(-2 + 1 + 0)*(-1 + 2 + 2).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -395*f**5*s**3 + f**2*s**3 + 6*f*s**3 + 38*f*s**2 wrt f.\nAnswer: -7900*f**3*s**3 + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 36 = -7*o. Suppose 0*j + o*j = 252. Calculate the highest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 14*g - 17. Let p be z(-13). Let n(t) = 3*t**2 - 2*t - 5. Let j(l) = -8*l**2 + 5*l + 14. Give p*j(q) - 11*n(q).\nAnswer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 1, 0.2999, -0.3, 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*p**4 + 17*p**3 - 8*p**2 + 2*p wrt p.\nAnswer: -168*p + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14032112 + -14143?\nAnswer: -14101310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5350 - 5354. Let k(b) = b**3 - 2*b**2 - 3*b + 3. Let s be k(2). Sort 108, x, s in ascending order.\nAnswer: x, s, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19513 and 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-22))\/((-78)\/(-12) + -6). Let a = 14 + -13. Let y be a\/2*5\/(-10). What is the third smallest value in m, y, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 237458?\nAnswer: 237458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(190) - (-1*sqrt(190) + sqrt(190))))\/sqrt(10) - (3 + sqrt(19)*2 + -4).\nAnswer: -8*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 7. Let n(u) = 3*u - 8. Let y(q) = -4*j(q) - 5*n(q). What is y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let b(t) = 24*t**2 - 2 - 4 - 18*t**2 - 3*t - t**3. Let y be b(5). Let r(o) = 2*o - 2 + y - 2. Calculate k(r(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/48 and 127\/6774.\nAnswer: 54192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -31 + 367. Let q = 115\/2 + u. What is the nearest to 1\/4 in q, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6432.5 bigger than 1.198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*u**6 + 38043*u**4 + 2*u**3 + 251*u**2 + 1725.\nAnswer: 1200*u**3 + 913032*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3275848 and 17.\nAnswer: -3275831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.25 and -60?\nAnswer: 63.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((3 + -1)\/(-2)). Let d(v) = 5 + 12*v + 4 - 11*v. Give d(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-12 - (-11 + (6 - (-15 - -4 - -8))))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5102 - -6366. What is the least common multiple of 790 and a?\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f**2 + 190*f - 5. Let d be w(19). Let c(y) be the second derivative of y**4\/12 - 7*y**3\/3 - 4*y**2 + y. Does 12 divide c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3975 is divided by 171.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4 (c) -14\/15 (d) -25 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -294, -654, -1156, -1800, -2586?\nAnswer: -3514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Put a, -2\/11, 1 in ascending order.\nAnswer: -2\/11, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 + 4*a**2 - 59*a + 52. Is y(10) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from kipkppkkusuispus?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 0 (c) -2 (d) -1\/43 (e) -0.3 (f) 1301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3 + u - 10 + 4 - 1 - u**2. Let z be g(0). Let o = 5 + -4.7. Which is the closest to o? (a) 0 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + -1*sqrt(18).\nAnswer: -5 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 100*a - 178. Let d be z(48). Solve 3*o + d = q, 8*o - 9*o = -q + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 0.35. Let u be (-15)\/(-156) + (-1)\/4. Let k be (0 + 0)\/(1*-3). Which is the closest to k? (a) u (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 - 8*d - 6. Let o be i(-1). Put -18, 6, o in increasing order.\nAnswer: -18, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 5, 2, -3, 2\/15, -5 in descending order.\nAnswer: 5, 2, 2\/15, -0.7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f - 5. Let a be o(6). Let k = a + -29. Suppose -k = -2*l - 2*l. What is the closest to 1\/3 in l, 0.2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 1\/11, -1, 4, 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 317, 0.24, 20, 4, 0.5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -96500, -117280, -138060, -158840?\n\"Answer: -20780*q - 75720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/39 + 2\/6. Suppose 4*u + 4*g - 8 = 0, -u = 4*u - 3*g + 30. Let p = -36 + 36.2. Which is the smallest value? (a) 5\/4 (b) j (c) u (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 135943?\nAnswer: 54\/135943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) -0.1 (c) -2\/17 (d) 1\/2910 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1014*x**4 + 16 - 3*x**2 - 1014*x**4 - 65*x**5 wrt x.\nAnswer: -3900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9\/2)\/(42\/8) and 21\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77677.4 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 501 - 103 = -52*b, 3*i + 48 = 3*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 10*d - 107. What is q(9)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13978 - -18947. What is the remainder when u is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*v**2 + 15*v**2 + 2*v - 69*v**2 - 46 - 44 - 26 to the form k*v + m + u*v**2 and give m.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14432 (base 14) to base 13.\nAnswer: -19b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/((q**4*q)\/q))))**(-49) assuming q is positive.\nAnswer: q**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124155137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365559228 by -30244.\nAnswer: -12087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 588 = 4*c, -4*w + 0*w + 5*c - 1161 = 0. Calculate the remainder when w\/(-14) + (-6)\/21 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2)*(61 - 110)\/490?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -587.1 and 0.5.\nAnswer: -293.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.8. Let f = 7 + -3. What is the nearest to c in f, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 19347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 6\/295, 0.61?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - k**2 + 5*k + 8. Let y be h(-3). Let j(q) = 2*q**2 - q + 2. Let d be j(-5). Calculate the greatest common divisor of d and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*f + 2*y = 101*f - 92400002, -3*f = -4*y + 69299996. Round f to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 47*w - 50*w. Solve -w = -z - 3*j, 3*z = j + 3*j - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + u + 15161, -5*b = 7*u - 4*u - 25287. List the prime factors of b.\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1276 and 83\/2784.\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 4*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1850968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 27*s**2 - 10*s - 5. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 85*q + 1427. Determine z(-14).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 25. Let k = w + -3. Let o = k + -2. Let q(n) = n + 8. What is q(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)*d)\/d)\/d**(1\/8))\/(d**(1\/4))**45 assuming d is positive.\nAnswer: d**(-99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -44\/83, 3, 0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001653208 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*p + 28 = 98*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/(1824\/(-256))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0721, -7, 1028, 10.\nAnswer: -7, -0.0721, 10, 1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 348899165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 - 3*m + 3. Let j = 70 - 68. Let r be (-3)\/j + (287\/14 - 0). Suppose 20 = 23*t - r*t. Give a(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k. Suppose -31*f + 174 + 198 = 0. Suppose -5*v = -4*d - 24, -5*d = -v - k*v - f. Calculate the highest common divisor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 7\/8 (c) 2\/19 (d) 5\/386 (e) 4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -r + 7, 25*r - 28*r - r = 4*m - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (22 + -2 - 16)) + 28.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -32*y - 77 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -884, -1697, -2454, -3155?\nAnswer: -3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105.01 - 1.01. Let t = 97.3 - l. Let d = t + 7. Which is the third biggest value? (a) -1\/2 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32 - ((216\/135)\/(2\/(-5)) + 1). Calculate the greatest common factor of 34440 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 246889\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-81)*(-8202)\/(-6835)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 3*s + 3. Let v be z(2). Suppose v*b + 13 = 2*d, -5*d + 82 = b + 3*b. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/72)\/(469\/(-201))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, n: 4, a: 1, x: 3, w: 2}. What is prob of picking 3 x?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let b = -1137\/10 + 626\/5. Let k(y) be the first derivative of 16 + 0*y - b*y**2. Calculate k(z(i)).\nAnswer: 46*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 77*o**2 + 182*o + 13. Determine k(23).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 11 = -3*p - r, 4*p - 4 = 2*r. Let k be (p - 3)*(6 + -2). Let o = -4 - k. Calculate the smallest common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 335319 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14916*u - 16 = 14918*u + 2*m, -3*m - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28582229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*s - 2*c - 11, 2*s = -c - 3. Let r be 0\/s*1\/2. Let u(p) = p**3 - p**2 + 14. Does 14 divide u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 0 - (0 + -167).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40748, 162968, 366604, 651602, 1017908, 1465468, 1994228, 2604134?\nAnswer: 3295132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-20)*l)*l**(-19)*(l\/l**(-7))**15)**(-4\/15) assuming l is positive.\nAnswer: l**(-484\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 11*p**2 - 3*p + 4. Let q(c) = c**3 + 10*c**2 + 2*c - 3. Let k(j) = -3*q(j) - 2*z(j). Let f be k(9). Factor 6 - 3 + f*l - 84*l - l**2.\nAnswer: -(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/560 and -23\/1320.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*a - 2*j, -6*a + 7*a - 2*j = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31399\/1750 + 284\/125. Let t = h + -41\/2. Which is the biggest value? (a) t (b) -4\/7 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 11\/4*z**4 + 1\/15*z**6 + 0*z**5 - 62*z - 1\/2*z**2 + z**7 + 2 + 0*z**3. Find the third derivative of i(f) wrt f.\nAnswer: 2520*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -2. Suppose -492 = -253*t + 267. Suppose -t*z - k*z = 0. Solve -n - 2*c = 8, 5*n + z*n - 3*c + 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 4*s = 3*f + 6265820, -6*f + 4*s + 9398720 = 0. Round f to the nearest 10000.\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*1*-3)**2 - (sqrt(80)*1)**2 - ((sqrt(10)\/sqrt(2))**2 + -5 + sqrt(5) - (sqrt(405) + sqrt(405) + 2*sqrt(405))).\nAnswer: -35 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -91242200 rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {c: 1, z: 4, x: 1, m: 1, g: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxmvxxvnxvdxyymymx. What is prob of picking 3 x and 1 d?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -3. Let m be 1 + -2 + v\/2. Suppose -2*c + 0 + 4 = m. Solve -n - 3*p = -14, -c*p = 3*p - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdmtmtdddqmdmtmdmt. What is prob of sequence dq?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502010006?\nAnswer: 2, 23, 37, 294953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 2*i**2 - 10*i + 3. Let x(o) = 7900*o**3 + 10*o**2 + 3109*o - 15. Let c(n) = 5*p(n) + x(n). Find the second derivative of c(y) wrt y.\nAnswer: 47430*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 7*c**2 - c - 8. Let j be m(-7). Suppose -a - 7 + 17 = 0. Suppose 10 = 24*v - 38. Sort v, a, 3, j in decreasing order.\nAnswer: a, 3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k + 209 - 5*k - 6040 - 4310)*(-2 - 1 + 4 + (3 + 0 - 5)*(-2 - 1 + 1)) in the form q*k + w and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*u - 519 = -57*u. Is -172 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -45, 5, 75, 159, 251?\n\"Answer: -i**3 + 19*i**2 - 26*i - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/21*-17 + (-4)\/12. Solve -w + 11 = 35*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-17)*(y*((y\/(y\/(y**(-3\/17)*y)))\/y)\/y)\/y assuming y is positive.\nAnswer: y**(-309\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 - 24*o**3*u + 106*o**2*u wrt o?\nAnswer: -24*o - 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y + 6. Suppose -d + 3*c - 11 = 0, 2*c - 5*c = -3*d - 3. Suppose -d*g = -8*g. What is the units digit of q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2433.799991083 - -2433.8. What is w rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 457. Suppose 7*q - l = 481. List the prime factors of q.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = j - 123, 2*j + 29 = y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2 - 3266466*z + 16332380 = 0.\nAnswer: -1633238, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 4 + -6 + (2 - 4 - -12 - 7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 432 + -388. Calculate the remainder when q is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176698917?\nAnswer: 3, 19, 263, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 5*n, -3*n = -3*g + 5 + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22241735 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 36*o - 39*o - 9, -3 = -y + 4*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x + 3. Let d(p) = p - 1. What is 4*d(n) + u(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (8 - 5) + (-130)\/(-30). Sort -1, 1, n, 7 in decreasing order.\nAnswer: 7, 1, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 8*y + 7*y + 60, -3*n - 5*y + 141 + 203 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 45. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + -2.5. Which is the third biggest value? (a) t (b) 4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 5 = 12*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15167 + -14811. Calculate the least common multiple of u and 1157.\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 53. Suppose 10*i - o*i - 499 = -4*l, -i + 97 = -2*l. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -147, -315, -549, -849?\n\"Answer: -33*m**2 - 3*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 141285245.9 to the nearest 100000.\nAnswer: 141300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1158270 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/19? (a) 4 (b) -1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(2\/16). Let i = -4 + -4. Let p be (i\/12)\/((-2)\/12). Solve n*m = 3*v - 2, 0*m = 2*v + p*m - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/56 and -51\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31554 is divided by 5715?\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/587546 and -11\/6.\nAnswer: 1762638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 82.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 8*r = -13*f + 35888, -f + r = -11956. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897, 953, 1009?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/(o\/(o\/o**0))*(o*o**(-7\/8)\/o*o)\/o*o**(1\/5))**37 assuming o is positive.\nAnswer: o**(1961\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*n - 5*r, -r + 0*r = -4*n + 4. Let f(i) = -n*i**2 + 6*i**2 - 3*i**2. Let m(u) be the second derivative of 5*u**3\/6 - 20*u. Give m(f(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3)\/(15\/(-40)). Let b be (8\/(-20))\/(l\/190). Which is bigger: b or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11101101?\nAnswer: 11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 694 + -699. What is the second biggest value in 26.1, 11, n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -6. Suppose -4 = 25*f - 21*f - 4*v, a*f = -5*v + 15. Which is smaller: f or 2\/107?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3070 = -5*i - 70. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -5?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -530 - 43055?\nAnswer: -43615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n**5 - 1754*n**4 - 7522*n**3 + 94424*n**2 - 169160*n + 84000 = 0.\nAnswer: -10, 1, 7\/6, 4, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 4*u = -9*x + 1788, x = -4*u - 372. What is the common denominator of 88\/135 and 7 - (-292)\/x - 5?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8508369*5.\nAnswer: 42541845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 4*n - 4. Let p be l(2). Let o be 2\/(p - (-6)\/3). Let v(x) = -1. Let q(c) = -4*c - 4. Calculate o*q(i) + 4*v(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-374)\/18 + (-6)\/27. Let y be (-468)\/(-28) + (-6)\/l. Suppose -x = -4*x + 9, -4*f + 5*x = -y. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*11)\/((-234)\/117).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4 - i**2 + 4. Let c(p) be the first derivative of -p**3 - 41. Give c(m(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11212 - 1955. List the prime factors of w.\nAnswer: 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140\/9? (a) 6 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f**3 - 56*f**2 + 891*f + 3541. Give b(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 611 - -13db5?\nAnswer: 143c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = 3*z. Is 4 a factor of (9 + 1)*(-2)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 11*d**2 + 2. Let t be r(-11). Let l(o) be the first derivative of 1\/2*o**4 + 4\/3*o**3 - 2 + o**t + 0*o. Factor l(m).\nAnswer: 2*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 56*g - 3 + (0 + 2*g + 0)*(3 - 1 - 3) + g + 4*g - 4*g.\nAnswer: 55*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of ((-93)\/(-4))\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:42 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 6 = -49 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*l - 33, 7 - 20 = -2*l - d. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149681702 divided by -17\nAnswer: -8804806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-476)\/357)\/(8\/66)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34.563*-0.1\nAnswer: -3.4563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(2*x + 3 - 3) - 5 - 12*x - 1 + 8.\nAnswer: -8*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 30*k**2 - 13*k - 103. Suppose 28*z = 16*z - 372. What is the tens digit of m(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let w(z) = -10*z + 5. Let d(a) = -a + 1. Let x(t) = -3*t. Let r(g) = 2*d(g) + x(g). Let p(j) = 5*r(j) - 2*w(j). Calculate p(k(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4\/9 + 38*s**3\/9 - 98*s**2\/9 + 88*s\/9 - 8\/3 = 0.\nAnswer: 1\/2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from pppaprpaprvavprapav?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17825207*d**3 - 12*d**2 + 30*d + 5388 wrt d?\nAnswer: 106951242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(500) + (sqrt(500)*2)**2) + 4)*2.\nAnswer: 120*sqrt(5) + 24008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2 + 2. Let y(r) = -4*r + 1. Let s be y(1). Let m(x) = 5*x**2 - 2. What is s*d(n) - 4*m(n)?\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.44 + 2.94. Suppose -5*b + 2*r = -30, 0 = -4*b - 4*r - r + 57. Sort b, q, -0.5 in descending order.\nAnswer: b, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -2*(-9)\/(-6). Let n be (w + -2)*(-6)\/2. What is the units digit of n\/6 + 26\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424724755 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 7*o + 67*o**3 - 5*o.\nAnswer: 67*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1135102 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5407.6129 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3453, -3443, -3433, -3423?\n\"Answer: 10*w - 3463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 94 = l, -v = -5*l + 10*l + 482. Let r = 63 + -96. Let a = r - l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137128*b**3 + 40441*b**2 + 2*b - 1.\nAnswer: -822768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -15 + 15 - (14 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10285 - 10181. Let i(o) = o**3 - 6*o**2 + 7*o - 2. Let k be i(5). Calculate the greatest common divisor of k and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/13)*t**(-1)*(t**(1\/5)\/t)\/t**(2\/11))\/(t**(-5)*t**9)**(1\/23) assuming t is positive.\nAnswer: t**(-20271\/16445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.55 - -0.665. Let t = x + 0.045. Let s = 0.16 - t. Which is the nearest to s? (a) 0 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -4*f - 0*q, -5*f + 20 = -2*q. Suppose -f*l + 1 = -7. Suppose l*b = -44 + 280. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 68.\nAnswer: -7\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 61602339?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38307, 76616, 114925, 153234?\n\"Answer: 38309*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence casf when four letters picked without replacement from tcfwafccswfsacws?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191400487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -k + 243, 3*k - 369 = -3*r + 348. Is 32 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 96\/(-15) + 2\/5 + 2. What is the remainder when 38 is divided by (-20)\/(y + 0) + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1925167800 to the nearest one million.\nAnswer: -1925000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -42. Suppose -o*f = -2*h - 168 - 272, 110 = f - h. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + f**2 + 16. Let u be d(0). Find the second derivative of -u*i + 16*i**3 - 7*i**3 + 12*i**3 wrt i.\nAnswer: 126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4008 + 463 + 14*f - 16*f.\nAnswer: -2*f + 4471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2763 - -2762.9. Let m be (30\/(-12))\/(0\/2 + 2). Which is the nearest to r? (a) 0 (b) m (c) 2\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13695, -26409, -39123, -51837, -64551, -77265?\n\"Answer: -12714*v - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 8*d - 199 = 0. Suppose -2*l = -2*a - 40, a = 3*l + 6*a - 44. Let v = d + l. List the prime factors of v.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 35, 84, 153, 242?\n\"Answer: 10*b**2 - b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-15)\/9)*15*1. Sort o, 4, -3, 3.\nAnswer: o, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5, -3*x = 4*y + y - 98. Suppose -y*r - 6 = -120. Solve 6*k + r = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v. Let m(a) be the second derivative of -a**4\/12 - 16*a. Determine m(q(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5735 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(4\/3)))\/(h**7\/h))**15*((h*(h*h**14)\/h)\/h**12)**(-1\/37) assuming h is positive.\nAnswer: h**(-2593\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g - 2. Let d(h) = 9*h + 1. What is -3*d(b) - 2*y(b)?\nAnswer: -7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 86659 = -44957. What is the tens digit of (-6)\/(-4)*o\/(-54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 544.2 - 544. Which is the fourth smallest value? (a) -2\/3 (b) -0.08 (c) -1\/9 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 13*b**5\/20 - b**4\/12 + 49*b**2 + 73*b. What is the first derivative of x(m) wrt m?\nAnswer: 39*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4975, 4955, 4931, 4903, 4871?\nAnswer: 4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1\/4, -49804.14, 0.3 in ascending order.\nAnswer: -49804.14, -1\/4, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4665 (base 9) in base 10?\nAnswer: -3461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:44 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4 (c) -0.05 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**2 - 8*m + 11. Let t be w(-8). Let h = t - -69. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*n - 322, -2*n + 6*n = 0. What are the prime factors of l?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 1, v: 3, r: 2, j: 3, y: 9}. Give prob of sequence rtj.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*p - 7*p - 17 = 0, -21*p + 8*p + 142 = 21*r - 12*p for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**3 - 3678*q**2 + 2*q - 62691?\nAnswer: -24*q - 7356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - f + 3*f - 3*f + 0*f + f + (-5 + 0 + 4)*(-5*f + 3*f + 3*f) - 4 + 2*f + 4 + f + 0*f + 3*f + (1 - f - 1)*(0 + 0 - 1) + 24 - 24 + 4*f - 2 - 3*f + 2.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9)*r)**(-2\/9)*r**(1\/8)\/(r\/r**(1\/5)))**(-32) assuming r is positive.\nAnswer: r**(10988\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfrrrfrrrrrfrrrrrf. What is prob of sequence frf?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/8934136 and 101\/30.\nAnswer: 134012040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 1 - 1 + 2. Let u(h) = 5*h**2 - 3. Let p be (-2)\/(-7) - (-96)\/7. Let a(l) = -24*l**2 + 14. Let y(j) = p*u(j) + 3*a(j). What is y(x(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) 0.3 (c) 4 (d) -86.7 (e) -0.123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1192 divided by 10155.\nAnswer: -1192\/10155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3123, -6387, -9791, -13335?\nAnswer: -17019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 596656965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) 19 (c) -4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -32. Let t(i) = 2*i**3 + 10*i - 12. Let n(s) = -2*s - 8*s + 5*s + 3 - 6. Let j(p) = 6*p + 4. Let x(f) = -4*j(f) - 5*n(f). Give r*t(v) + 10*x(v).\nAnswer: -2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-98)*-12 + -9\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11521?\nAnswer: 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiimiiiiiii?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 877 = -622*f + 621*f, 0 = 3*m - 4*f - 533. Put -1, m, -4 in descending order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -11. Let x(j) = -80*j**3 - j**2 - j. Does 20 divide x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.95 + 4.382. Let w = 11.662 - v. Round w to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -2 - (38 + -38)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.304 * 0.2\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/((-112)\/(-18)))\/(1\/2)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -60590 divided by 3\nAnswer: -60590\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - ((-81 - -51) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110422.6 millennia to decades.\nAnswer: 11042260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26*(-225)\/3900*(-64)\/12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2078 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/21))**(-12) assuming j is positive.\nAnswer: j**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6)*((-7 - -5) + 4). Let b = 313\/15 - 71\/5. What is h in -w - 12*h**2 - 4\/3*h**4 + b*h**3 + 28\/3*h = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/n**0*n))))\/n*n*(((n\/n**(-17)*n)\/n)\/n*n)\/n*n*(n\/n**(1\/3))\/(n**(-2\/63)*n) assuming n is positive.\nAnswer: n**(1052\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272271075 to the power of 1\/3, to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0431 at most as big as -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17471 - -17473. Let q(v) = v**2 + 2*v - 2. Let l(w) be the third derivative of -w**5\/60 - 2*w**2. Determine t*l(f) + q(f).\nAnswer: -f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1124 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*r**2 - 1201 - 633*r**4 - 63*r**2 + 4749 wrt r.\nAnswer: -2532*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39093 is divided by 5530.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q**2 + 116*q - 114*q - 205 + 168 + q**3. Give x(-22).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 13 = 4*o + 4*h, 10 = 2*o + 4*h. What is the biggest value in -5, -3\/23, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*x, -3*b + 52 = -3*x - 269. What is the remainder when b is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24418 + 24418.00021522. What is z rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83660*o**6 - 177*o**2 - 1393.\nAnswer: 10039200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13935338 is divided by 44099?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 2*o + 6 + 4. Let c be r(-11). Suppose -j - 1 = 1. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8509 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/120 - i**4\/8 + 7*i**3\/6 + 6*i**2. Let j(r) be the first derivative of x(r). Let b be j(-3). Solve -3 = -s - b*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8986855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + 12.04. Let v = -10 + m. Let c = -0.04 + v. What is the closest to -2\/3 in c, -1\/4, -1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42517284 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/2810 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6360 + 10780. Suppose 0 = -2*k - 3*s - 7516, 0 = 2*k - 2*s + l + 3106. Let b = -2494 - k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379.307 years to millennia.\nAnswer: 0.379307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**5\/20 + p**4\/2 + p**3\/2 - 3*p**2 + p - 2. Let u(s) be the first derivative of z(s). What is the units digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**4 + 38380*s**3 - 2402550*s**2 + 33899580*s + 124358355 = 0.\nAnswer: -3, 33, 7613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**3\/3 + 1. Let f(u) = u**2 - 6*u - 5. Let a be f(7). Let d(b) = b**2 - 6*b**2 + 3*b**a. What is o(d(j))?\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6759*f - 7047*f - 2 + 13804*f + 2.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/17, -2\/15 in descending order.\nAnswer: 2, -2\/17, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786679955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1757*g**4 + 2413*g**2 wrt g.\nAnswer: 42168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209 + 227. Are s and 17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6260142 nanometers in micrometers?\nAnswer: 0.0006260142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6955 - 4119. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {b: 1, n: 4, k: 2, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**3\/3 + q. Suppose 76*b - 78*b + 14 = 0. Let u(g) = b*g + 295 - 295 - 2*g. Calculate h(u(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(-4*sqrt(18)\/sqrt(3)))\/(sqrt(864)*-3).\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:21 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12406 (base 7) in base 12?\nAnswer: -1aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38040200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 78 = -15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - -193. Suppose -v - 80 = -q. Calculate the greatest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/3 and 33\/2473.\nAnswer: 7419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25 + 1604*i**2 + 3779*i**2 + 200*i**2 - 8626*i**2 - 13*i wrt i?\nAnswer: -6086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-15) - 18\/(-10). Let n(f) = -f**3 + 3*f**2 - f + 1. Let o be n(w). Solve -o*a - u + 16 = 0, u + 6 = 2*a - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/10)*x*x**(-5)\/x)\/(x**(-9)*x**(-5\/7)) assuming x is positive.\nAnswer: x**(421\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 6*q - 4. Let j be (-6)\/q*(-56)\/6. Calculate the highest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 5:19 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.37061 millennia to months.\nAnswer: 976447.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 12*y + 27)*(-y**3 + y**3 + y**3 - 4*y**2).\nAnswer: -12*y**4 + 48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 43 + 2*h + 0*h - 7*h. Suppose 2*l = -2*f - 16, 8*l = 5*l + 2*f - 19. Is c(l) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -91. Suppose 113 = -3*p - 46. Let i = p - -78. What is the remainder when i is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 141 = 435. What is the highest common factor of f and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5032 is divided by 50.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 0.4, 122, 47, 0.5 in ascending order.\nAnswer: -9, 0.4, 0.5, 2, 47, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3.6 (b) -1 (c) 5 (d) 848\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 200272*v - 200275. What is w(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12308?\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 + 16.1. Let r = 21.375 - k. Let b = r + -0.075. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 2. Let d be c(1). Let t be d\/(224\/76 + -3). Is t at least -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(2))*-6 - (-4*sqrt(4)\/sqrt(2) - (1 + sqrt(2)*2)) - (sqrt(48)\/sqrt(4)*-6)\/(-4*(sqrt(216) - sqrt(6))).\nAnswer: 31 + 357*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l + b - 25 = 0, 2*l + 2*b - 20 = 0. Suppose -3*a + q + 0 = 3, l*a = 5*q - 5. What are the prime factors of 11 + a*(3 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17053 is divided by 3387.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1551*r**2 + 1120*r**2 + 256*r**2.\nAnswer: 2927*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5 + 942*o**4 - 5521*o**3 - 2*o**2 - o - 10875894 wrt o.\nAnswer: -120*o**2 + 22608*o - 33126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4213 - 177262*p**3 - 4213.\nAnswer: -177262*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59223*a + 12710*a + 96786*a.\nAnswer: 168719*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -47. Let h be 5*u\/(-80)*4. Let d(p) = -10*p**2 - p + 1. Determine d(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, -20.4, -0.011, 6, -0.26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820067 is divided by 14387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d**2 + 3*d - 1. Is m(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-5 + 10)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Is (22\/33)\/(y\/(-5370)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 6. Let c(m) = 28*m + 823. Let i(g) = 62*g + 1830. Let p(v) = -20*c(v) + 9*i(v). What is p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143102*q**4 - 20759 wrt q.\nAnswer: -572408*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4772887 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 7 + 4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -2, 2, 65, -1, 1 in descending order.\nAnswer: 65, 2, 1, -1, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let l be i\/(-4) - (-76)\/8. What is the greatest common divisor of 60 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*l, -9*l + 12*l - 6 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -245*k - 72. What is the remainder when g(-17) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (11 - 12)) + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g - 72. Calculate r(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p + 96*p = 696. Let h(i) be the second derivative of p*i + 0 - 10\/3*i**3 + 0*i**2. Let x(q) = -q**2. Calculate x(h(n)).\nAnswer: -400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 16, 5, -5 in descending order.\nAnswer: 16, 9, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oipi when four letters picked without replacement from {p: 1, s: 1, o: 1, i: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34031 (base 5) to base 9\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 6*z**2\/7 - 8*z\/7 + 24\/7.\nAnswer: 2*(z - 3)*(z - 2)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -159 + 185 - (-4 - (3 - -11)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11824 or 11817?\nAnswer: 11817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34056 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 160 = 5*x + 4*w, -3*x + 96 = 3*w. Let t = -10 + x. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7*v + 3*b - 18, -v + 5*b - 6 = 0. Let x be v\/(-10)*(1 - 1 - -5). Put -28, x, 5 in decreasing order.\nAnswer: 5, x, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -48, 11, 1\/20, -0.2 in descending order.\nAnswer: 11, 0.3, 1\/20, -0.2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572 a factor of 28484900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Suppose l*t + t - 3*d = 104, -2*d - 8 = 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: Calculate prob of picking 2 k when two letters picked without replacement from {b: 5, w: 1, k: 3, o: 3, j: 7}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3\/2*s**2 - 18 - 3\/2*s**3 + 12*s = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 34336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 518014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*x**3 - 20*x**3 + 13*x**3 - 80*x - 47*x**3 - 234*x**2 - 8.\nAnswer: -2*(x + 1)*(9*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*p - 5*p + 2*p)*(3*p - p - p) + (0*p - 2*p + 6*p)*(-6*p + 11 + 15*p - 8*p))*(2*p - 1 + 1) to the form y + c*p**3 + j*p**2 + d*p and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 42*m**2 + 354*m - 4137. Determine h(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*b**3 - 65*b**2.\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 476 = -385 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010100000001001 (base 2) in base 13?\nAnswer: 4c42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5264 is divided by 751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/3, 28, 5, 1767, -3 in decreasing order.\nAnswer: 1767, 28, 5, 1\/3, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {x: 3, o: 3, d: 2, g: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 2*z**2 - 2. Let y(l) = -8*l - 101. Let s be y(-12). What is the hundreds digit of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -3 - -2)*(-11 - 136\/(-12)). What is the closest to -7\/38 in -5, r, -2, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1541 divided by 6\nAnswer: 1541\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 572441*c**3 + 39*c**2 - 2124*c?\nAnswer: 3434646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32008, -31870, -31736, -31606, -31480?\n\"Answer: -2*l**2 + 144*l - 32150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 195448\nAnswer: 1\/195448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.2, -0.5, 29\/10.\nAnswer: -5\/4, -0.5, 0.2, 29\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 12 = 6*z, -4*b - 2 = -8352*z + 8353*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -169688.0442 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t - 1 + 1)*(-8*t + 29*t - 760 + 7*t - 72*t + 4*t) as d + k*t + s*t**2 and give s.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222011310311 + 12?\nAnswer: 222011310323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 7. Let j(h) = 4*h - 8. Calculate 6*i(w) - 5*j(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251728 is divided by 1249521.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/71 or 0.197?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.3, 0, 0.17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 54?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*(-88)\/(-22))\/2)\/((-2)\/(-45))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 122*a**2 - 256*a**2 + 115*a**2 + 19*a - 21 + 4 + a**3. Let p be j(18). Let t = 239\/136 - 15\/17. Are t and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -197, -792, -1787, -3182?\n\"Answer: -200*s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 24002*h**2\/5 - 72785728*h\/5 + 926042624.\nAnswer: -2*(h - 5968)**2*(h - 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4879 + -2.947?\nAnswer: -3.4349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10664*t - 10664*t + 104*t**2 to the form v + a*t**2 + w*t and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1564 and 113068.\nAnswer: 1922156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2374768*d**4 + 1280*d**2 - 7*d - 87 wrt d.\nAnswer: 56994432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.74 - -1.06. Let g = a + 0.2. Round g to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 118 + 453 = 0. Let a = i + -336. Let f(k) = k**2 - 2 - 3*k**3 + 2 - 1. What is f(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/l**(6\/11))\/l)*l\/(l\/((l\/l**(-2\/27)*l)\/l)))\/(l**(-2\/7)\/((l**1\/l)\/l)))**(1\/42) assuming l is positive.\nAnswer: l**(3020\/43659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.165 and -14.2.\nAnswer: -16.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(7\/2 - 5) + -652. Let r = o - -660. Let p be 0\/((-8)\/(-2) - 2). Solve p = 2*x + r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*w - 170 = 0, -3*w + 5 = 2*w. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 4*h. Let n be 150\/(-35) + 2\/28*4. Let i(x) = -5*x**2 + 5*x + 1. Give n*a(q) - 3*i(q).\nAnswer: -q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2023188)\/8 + 1)*(138\/30 + -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 - 45*q**2 - 511 + 953.\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-10 + -4)) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 9*p + 194 = 242, -30*p - 135 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272782.\nAnswer: 2, 17, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 - 127. Let p(h) = 5*h - 110. Let g be p(s). Factor -1\/2*j**2 - 3\/4*j**3 - 1\/4*j**4 + 0 + g*j.\nAnswer: -j**2*(j + 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13826 divided by -4\nAnswer: -6913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/20 - t**4\/4 + t**3\/2 - t**2 - 3*t. Let u be a(-4). Solve 2*q = 7*q - o + 11, 2 = u*q - 2*o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2925*a**2 + 260*a. Let x(n) = 68*n**2 + 6*n. Let t(y) = 3*s(y) - 130*x(y). Let q(w) = 2*w. What is t(q(d))?\nAnswer: -260*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 4*k + 2. Suppose j - o = -3 - 5, 0 = o - 5. Calculate the remainder when 21 is divided by r(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 59092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164 and 8842757?\nAnswer: 35371028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 43342926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 689199360 divided by 64?\nAnswer: 10768740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - w = -4, w = -0*s + 4*s + 7. Let v be 13\/20 + 4\/(-10). Put v, s, -19 in ascending order.\nAnswer: -19, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(1\/2)*g)\/g))\/(g\/g**(-6)))**(-19) assuming g is positive.\nAnswer: g**(247\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/82)\/(78 + -77). Let r = -0.7 - -0.6. Which is the third biggest value? (a) 5 (b) r (c) -2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 1. Let s(k) be the second derivative of -k**5\/20 + k**4\/6 - k**2 + 6*k - 101. Calculate -s(r) + z(r).\nAnswer: r**3 - 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 117060234 = 117060233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/24 and 61\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26036370 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-68)\/(-17289)*12*(-5)\/80\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/5291 + (-76)\/(-74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3698*y**3*z**3 + 127*y**3 - y**2 - y*z**3 - 5*y + 3*z wrt z.\nAnswer: 22188*y**3*z - 6*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/5)\/((-32)\/2160*18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((16\/(-6))\/4). Let n(a) be the third derivative of 1\/12*a**3 + 1\/240*a**j + 0 - a**2 - 1\/48*a**4 + 0*a - 1\/120*a**5. Factor n(u).\nAnswer: (u - 1)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 5, 8, 11, 14, 17?\n\"Answer: 3*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, 821, -2\/7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2\/(1 + -21). Put -13, 1, 4, v in decreasing order.\nAnswer: 4, 1, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 2*s)*(-s**4 + 3*s**4 - s**4).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 6 + 2, -2*s = -3*i - 10. Suppose -6*f + s*f = 4. Let c be 4\/6*1\/(-2). What is the smallest value in -0.2, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-125))\/(2\/10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187*a**4*y - 218*a**4 + a**3*y - 40*a**3 + 2414*a**2*y + 8*a**2 - 7*a*y + 2 wrt a?\nAnswer: -4488*a*y - 5232*a + 6*y - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 725 - 18*d**2 + 20*d**2 + d - 729 - 13*d**3 in the form u*d**2 + i + k*d + x*d**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 41713 - 41908 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 1, q: 1, d: 5, h: 3}. Give prob of picking 1 f and 3 h.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -31. Is -2\/9 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -0.054, 1\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbsmmsbmmmmmbssmmm. Give prob of sequence bb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/52*1)\/(124\/(-5239))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/9 greater than -2.75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 129198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + -11 - 4\/(-1). Suppose i = -b - 2. Let l be ((-2)\/5)\/(i\/210). Calculate the highest common divisor of 154 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 7*n - 7. Let t = 3 - -3. Let c be a(t). What is the closest to 0 in -2\/3, -5, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22953\/2186*4\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 5:05 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203 is divided by 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5771 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: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from ixiiiuxeaexi.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 182285209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 7, p: 2}. What is prob of picking 1 p and 2 t?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 267, 856, 1991, 3852, 6619, 10472?\nAnswer: 15591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/((-1330)\/(-40))*14\/(-10). Factor q + 8\/5*d**2 - 18\/5*d.\nAnswer: 2*(d - 2)*(4*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7*v + 3 = 2*v, -2*v = k + 3. Suppose -x = -k*x + 4. Let t be (-26)\/(-6) - 1\/3. Solve -t*m + 3*f + 0 = -10, x = m - f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 360*s**3 - 2 + s**2 + 22*s**3 + 6*s**3 + 42*s**3 in the form c*s**3 + i*s + n + f*s**2 and give c.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24771136349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8567*h + 9886*h - 11216*h to the form v*h + j and give v.\nAnswer: 7237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339020167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545669578.\nAnswer: 2, 1523, 179143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4457 - -40.8443. Let s = t - 41. Let u = s - 0.05. What is u rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-24)\/d**(-13))\/(d\/(d*((d\/d**(-3\/2)*d)\/d)\/d))**(-44) assuming d is positive.\nAnswer: d**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -147\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.5277549 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 6*a + 3. Let d be t(6). Suppose -4*b = -d*f - 1, -2 - 7 = -b - f. Suppose -j + 3*g + 9 = 0, 2*j + 3*g - 23 = b. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 303 - 7577\/25. Let b = -0.1 + 2.1. What is the nearest to 2\/5 in b, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-32))\/((-1)\/54). Let x = 30 + p. Solve -x*i + 6 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**(-7\/6))**(-45)*(y**1\/y*y)**(5\/3)\/((y**(-5)\/y)\/y*y\/(y**(-4\/5)\/y)) assuming y is positive.\nAnswer: y**(-871\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/(-289) - 13683\/17. Let f = l + 808. Let a(i) = 2*i**3 - 3*i**2 + 1. Let t be a(2). Solve n - t = -5*k, 3*k - f = -0*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1065355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s - 4. Suppose 1 + 24 = -5*t. What is the tens digit of b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-30))*(y\/y**(-10))\/y*y*y assuming y is positive.\nAnswer: y**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1a788?\nAnswer: 1a787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91919949?\nAnswer: 3, 11, 131, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/3 - 2\/(-6). Suppose -s + 2*z + g = 0, -3*s = 3*z + z - 20. Let m(n) = n + 3. List the prime factors of m(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.886 * -52.87\nAnswer: -734.15282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/9 + 254*x\/9 + 55660\/9 = 0.\nAnswer: -115, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let f(n) = -2*n**2 + 2366*n + 2. Give f(c(o)).\nAnswer: -8*o**4 - 4732*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t**2 - 2*t + 2. Calculate a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34079 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 52*u + 57*u - 4022, 3*k + 4*u = 4021. What are the prime factors of k?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -0.1947?\nAnswer: 12.6555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2400*c**3 - 101*c**2 + c + 31807.\nAnswer: -14400*c - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*-3*1. Suppose h*u = -u + 30. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1321654516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32847330?\nAnswer: 2, 3, 5, 1094911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 388.\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*h + 478 = 0, 2*h = 4*m - h - 946. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -10 + (6 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 7*d - 202 + 7*d + 2*d + 5*d.\nAnswer: 3*d - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 354 = 8*j. What is the common denominator of (44\/(-24))\/(-11)*j and -27\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/19 + -26\/133. Let l be -2 - -1 - 627\/(-508). Let k = l - -2\/127. Which is the second smallest value? (a) k (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5571 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: Simplify (2*(sqrt(500)*-1 + sqrt(500)) + -1 - (sqrt(500)*1*-6 + 2*(1 + sqrt(500))))**2.\nAnswer: -240*sqrt(5) + 8009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 215289509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a + 1. Let p(u) = u. Let z = 17 + -8. Let s be 3\/2*(-12)\/z. Give s*w(k) + 7*p(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 6, t: 2, q: 3}. Give prob of picking 1 t and 1 n.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/3 and 4\/735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:35 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 92*k**2 - 58*k - 115. Is m(-98) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + -2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5020, 1\/5, 4\/73, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2057) + 0 + -1 + sqrt(2057) + sqrt(2057)) - (0 + sqrt(2057) + -3 + (sqrt(2057) - (-2*sqrt(2057) + -5))))**2.\nAnswer: -176*sqrt(17) + 8244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5\/11))\/((f\/(f**(1\/30)\/f))\/f) assuming f is positive.\nAnswer: f**(-139\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5 - 4092*c**4 - 1148676*c**3 + 2309612*c**2 - 1156848*c = 0. Calculate c.\nAnswer: -231, 0, 1, 1252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - -19443 - (4 - 25\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121, -190, -259, -328, -397?\n\"Answer: -69*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200946 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**2*y**2 + 630700*c**2*y + 4*c*y - 1326820*y**2 wrt y?\nAnswer: -10*c**2 - 2653640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/6415417 (c) -1 (d) -0.3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 11) to base 6\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.04 (b) -1.3 (c) -4 (d) -83 (e) 59 (f) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 7:05 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 3*b + 13. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 3*l)*(2 - 3 - 1) + 2*l + 0*l - l + l + 0*l - 2*l + (2*l - 1 + 12*l - 7*l)*(0 + 5 - 2).\nAnswer: 17*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -56*p**2 + 91*p - 3. Let f(j) = -50*j**2 + 89*j - 2. Let s(m) = -5*b(m) + 6*f(m). Determine s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -5*z**4 + 10*z**3 - 4267*z - 8525. Differentiate x(n) with respect to n.\nAnswer: -60*n**2 + 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -103\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677.0471 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 56. Let k(u) = 4*u + 24. Let d be k(-10). Let m = q + d. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 755*f + 228 = 767*f. Let j(k) = 3*k**3 - 4*k**2 - k + 6. What is the remainder when j(3) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 9. Suppose 170 = d*p + 60. Suppose 0*u + 14 = 2*y + 4*u, -y = -3*u - p. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/4, 37, -3 in increasing order.\nAnswer: -3, 1\/4, 0.4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 70. List the prime factors of t\/1 - (3\/(-3) - -2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhwwehwwhhe. Give prob of picking 1 e and 1 w.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*j - 132*j - 153*j - 5*j + 854 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67460623 is divided by 16865153.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 m when four letters picked without replacement from eeeekeekkmeeeee.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 126*r + 6219 = 132*r - 10581 for r.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 964 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -114*f - 187. What is the remainder when j(-7) is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 128*x + 1. Let i(w) = -2694*w. What is i(d(c))?\nAnswer: -344832*c - 2694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 220*j + 223*j - 18 = 0, -3*a = -3*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73\/260 - -2\/65. Which is the nearest to i? (a) -1 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*n - 188 = 0, 92 = 4*f - n - 266. Suppose j + 2*b - 12 + 10 = 0, 4*j = -3*b + 28. What is the highest common factor of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763492 (base 10) in base 15?\nAnswer: 101347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84583900.\nAnswer: 2, 5, 223, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-10))\/((-8)\/(-200)). What is the second derivative of -q*j**3 - 5*j**4 + j + 15*j**3 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58827019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25 + 1 - (-7 - -9). Let s be 16\/9 + x\/108. Let u(y) = -1 - 5*y - 7*y**s - 1 - y**3 + 14 - 6. Determine u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 4*d**3 + d**3 + (-5*d + 5*d + d**2)*(2*d - d + 0*d) - d**3 - d**3 + 3*d**3 + (d**2 + 3*d + d**2 - 2*d)*(d - 4*d - d).\nAnswer: -4*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86239933*p**4 - 16949*p**2 - 3194*p wrt p.\nAnswer: 2069758392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93682, 93709, 93754, 93817, 93898, 93997, 94114?\nAnswer: 94249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-5*-2)\/((sqrt(180)\/sqrt(5)*-2)\/sqrt(6)).\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(114\/(-105) + 2\/7). Suppose -q*s + 4*i = -2*s - 418, -2*i = -4*s + 866. What are the prime factors of s?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*c)*(0*c + 2*c - 3*c) + 2*c**2 - 3*c**2 - 13*c**2 - 12*c**2 + 179*c**2 - 3853*c + 3853*c to i*c**2 + m + r*c and give i.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332161359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 339*o - 6. Let d be u(1). Calculate the greatest common factor of d and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 2*w + 2*w)*((-11 - 1820*w + 15 - 526*w)*(2*w - 1 + 1) - 3*w**2 + 5*w**2 + w**2).\nAnswer: -4689*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000203 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340112 is divided by 213.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200333, -200396, -200461, -200528, -200597, -200668?\nAnswer: -200741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 46*r**2 - 113*r + 31. Give c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 483062*d**2 + 1449199*d + 1932260.\nAnswer: -(d - 4)*(d + 1)*(d + 483065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = 3 + 97 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 - 215.96925. Let l = 1.4 + -1.43. Let x = l + o. Round x to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8661 + -8646. Calculate the remainder when 2861 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2825\/2 + 1369. Calculate the common denominator of (-2)\/(-8)*708\/(-7 + 1) and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531556 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 57\/38*((-4)\/6)\/1*-8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(10*(-14)\/1820).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 + 8*z - 66. Let f be l(-6). Let k = f - -366. Which is the closest to k? (a) 6\/13 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 366 - 2935\/8. Find the common denominator of -53\/8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**3 + 0*g**3 - 4*g**3 - 2 + 2*g**3 wrt g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*p**2*r**2 + 415*p**2*r + 2*p**2 wrt r.\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.399 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e + 13bd?\nAnswer: 137e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**4\/4 + 5*i**3\/3 - 7*i**2\/2 + 3*i - 3633. Factor q(h).\nAnswer: -(h - 3)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**3*m)\/m*m\/(m**(-10\/3)*m)*m)\/((m*(m**7*m)\/m)\/((m**18\/m)\/m)) assuming m is positive.\nAnswer: m**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2. Let q(f) = 34 + 6 - 42 - f. Let s(u) = -u + 8. Let r(o) = 4*q(o) + s(o). Give v(r(j)).\nAnswer: -100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4507.238716 and -0.8.\nAnswer: 4506.438716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 - 36*w**2 = 0 for w.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.033, -10, 2911.\nAnswer: -10, -0.033, 2911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 6*v - 1 + 2 + 6.\nAnswer: 7*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -74. Which is the smallest value? (a) -3 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 3124999*i**3\/6 - 2*i**2 + 14*i. Let p be f(-4). Round p to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (269\/794357)\/((-1)\/2). Is b greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poqltootlpptpltpto. Give prob of picking 3 p.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002403582 to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 63. Suppose 83 = l*m - 129. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(2\/(-1) - -3). Suppose t = -2*o + 5. Solve -4 = o*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103026059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3, -2, -11 in decreasing order.\nAnswer: 16, 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 660\/(-75) - -1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from rwkjr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -116, -346, -792, -1526, -2620?\n\"Answer: -12*y**3 - 2*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 94499.8506 to the nearest ten.\nAnswer: 94500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2\/7 (c) -2\/17 (d) 0.2 (e) 36\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557447882?\nAnswer: 2, 6689, 41669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-12))\/(18*(-18)\/(-81)))\/(1\/(-87))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8 - 8*a - 3*a**2 + 0*a**2 + a**2 + a**2. Let w be v(-5). Let j = w - -88. Calculate the remainder when j is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -241629 - 241623 + 483250 - 8*v - 8*v**2 - v**3. What is c(-8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-284)\/14 + 2\/7. Let n be 25\/10*(-24)\/z. Suppose -3*k - 2*w = w - 78, -n*k = w - 70. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (900\/84 - 5)*(-63)\/6.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/4)\/1*2*88\/32.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680\/(-12285) + (-860)\/168?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1*(-6)\/2. Let q = 2 - 4. Which is the nearest to -2\/5? (a) q (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - v = -40, -u + 5293651*v - 11 = 5293646*v for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - z - 2. Suppose 0*y = 2*y. Let h be b(y). Is 28 a factor of (3*h)\/((-6)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 688510387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 2*r, 0*g = 5*r + 4*g + 8. Suppose l + 0*c + 4*c - 21 = r, 3*c - 15 = 0. Solve 0 = -4*f - l - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 1 - (-24)\/2. Suppose -6*p + d*p = 0. Solve p*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44329466 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.108253 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -10 + 0 + 3 + -23\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(2 + 1) + (-2117)\/1073\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -663444 times -0.2?\nAnswer: 132688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 19*o - 44. Let t be c(8). Let q = 0.2 - 0.1. What is the nearest to -2\/9 in -2\/5, t, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/5, -66, 4, 5, -0.1, -83, 0.1?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 - 6*y + 9. Let r be k(-7). Suppose 25 = r*x - 7. What is the smallest common multiple of 4 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011112102 (base 3) in base 13?\nAnswer: 224c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-12))\/(3 - (-9969)\/(-18)). Let p = s + 180679\/905570. Calculate the common denominator of -45\/4 and p.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/6365 and -41\/2010.\nAnswer: 38190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54673\/1632 + 1\/1632. Calculate the common denominator of 48\/28*(-2)\/(-16) and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 744.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 9389*k**4 + 8*k**3 + 9524*k**4 - 3 in the form m*k + p*k**4 + f*k**2 + c*k**3 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 minus 1088193728?\nAnswer: -1088193469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111100010100001 (base 2) in base 9?\nAnswer: -106271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 27647792.\nAnswer: 55295584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 5 - 2*i**2 + i**2 + 0*i. Suppose -4*w = -2*j + 12, 3*j - 3 - 3 = 3*w. Determine q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184859\/156 - -1185. Let s(t) be the third derivative of 0 + 1\/39*t**4 + 0*t**3 - 1\/1365*t**7 - 4\/195*t**5 + w*t**6 + 0*t - 4*t**2. Factor s(c).\nAnswer: -2*c*(c - 2)**2*(c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 4*c**2 - 3*c**2)*(0*c + 2*c + 0*c + (-2 + 4 - 1)*(-2*c + 2*c + 2*c) + 7*c + 59888 - 59888 + (0 - 1 + 3)*(-2*c - 1 + 1)).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 190.91908695 from -3006.\nAnswer: -3196.91908695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.919 - -3609.\nAnswer: 3608.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = -5. Suppose -p*m - 7 = 2*w - 17, -80 = -5*w + m. Suppose 8*i - 5*i - w = 0. What is the least common multiple of 4 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-516)\/(-64 - -21)*((-40)\/30 - 64\/12)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85901 - -144952. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235*b**4 + 449*b.\nAnswer: -2820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q + 74. What is the remainder when m(5) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(63\/(-35) + 2). Which is the closest to -6\/5? (a) j (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s = -q + 58*s + 23, -4*q - 38 = 6*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + (0 + sqrt(931))*-6 + -1 - ((sqrt(931) + 1)*5 + (-6*sqrt(931)*2 - sqrt(931)))*-2))**2.\nAnswer: -4004*sqrt(19) + 450773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 902.7644 rounded to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -7*l**5\/15 - 11*l**3\/3 + 4*l**2. What is the first derivative of p(s) wrt s?\nAnswer: -56*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -758, -779, -824, -905, -1034, -1223, -1484, -1829?\n\"Answer: -2*o**3 - 7*o - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*x**2 + 1559*x - 1559*x to q*x + m + r*x**2 and give r.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (-3*(2*sqrt(272)*5 + -1)*-3)**2.\nAnswer: -6480*sqrt(17) + 2203276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11219 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 5*a + 1 - 39, -4*a + 52 = -3*y - 2*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*c - 17 = 0, -2*m + 1 = -c - 4*c. Let q = 48 - 48. What is the third derivative of q*t**3 - 13*t**2 - 21*t**3 + 7*t**3 + 8*t**m wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*i**3 + 27*i - 27*i)*(3*i - 4*i + 3*i).\nAnswer: -78*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 189 = 8*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32773 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38445*f**4 - 5*f**3 + 6*f**2 - 8515*f - 5949.\nAnswer: -461340*f**2 - 30*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 135712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*172\/(-1419)*33.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 26. Is 11 a factor of (-41 + w)*-1 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18161 - 581243\/32. Let h = -272 - -2980\/11. Find the common denominator of h and t.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21907 - -3417511\/156. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 72*s**2 - 3*s + 11. List the prime factors of k(2).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007787715 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 859 + -816. Calculate the remainder when 70 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22112 (base 3) to base 2\nAnswer: -11100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*h - 32, -8*q + 3*q + 4*h = -10. Let b be (-3)\/(-2)*(-16)\/q. What are the prime factors of (-30)\/b + (-5)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 12. Suppose -m*o - 2*i = -18 - 152, o + 2*i - 82 = 0. Suppose 0*j = 4*j - o. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43963601 divided by 43963601\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*o**2*p*s - 3*o**2*p + 31260*o**2*s + 2*o**2 + 6*o*p + o - 4*p*s + 4156*p - 1 wrt s?\nAnswer: -18*o**2*p + 31260*o**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5 - 356\/(-20)) + (3 - -24 - 17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 4a0?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**11*c**(-15\/7)*c*c)**(-1\/8))**(-20\/9) assuming c is positive.\nAnswer: c**(415\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(2\/13)*i*i*i**(-3)*i*(i*i*(((i*i**1)\/i*i)\/i)\/i)\/i*i**(-1\/4) assuming i is positive.\nAnswer: i**(135\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8.2 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -219 + 483. Suppose -9*t + 3*t = -o. Let u = -36 + t. Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*d + 638, -955 = -4*d + d - 4*i. Suppose 4*w - d = w. Let q = 6 + 21. Calculate the remainder when w is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3782 - 588*x + 1297*x - 707*x - 717*x**2 wrt x.\nAnswer: -1434*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 28860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1078 and 59\/112?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23211 + -322203?\nAnswer: -232332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z. Suppose -2*n = -z - 4. Is 4842\/42 + n\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 258*f + 1. Let c be x(1). Suppose -5*l - 84 = -c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2572 - -2568. Sort 0.3, 1\/6, 5, s, -5 in ascending order.\nAnswer: -5, s, 1\/6, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.9 - -0.1. Which is the smallest value? (a) -0.4 (b) -0.09 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4536949723?\nAnswer: 149, 30449327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627584898 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -25290 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -726, -743, -770, -807, -854, -911, -978?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 396 - 873 - 590*v + 1766 + 1286 + 562 wrt v?\nAnswer: -590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2. Let b(a) = 4*a**2 + 5*a - 2*a - 8*a**2 - 3. Let g(j) = 3*j**2 - 2*j + 2. Let p(v) = -2*b(v) - 3*g(v). Give c(p(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 2*o**2 + 0*o**2 + 0*o**2 + 2*o**2 + 0*o**2 + 0*o + o**2 + 0*o + (3*o + o - 3*o)*(-3*o + 3*o + o) + (-3 + 0 + 0)*(-2*o**2 + 0*o**2 - 4*o**2).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 475*r**2 - 13*r + 20. Let u be q(2). Suppose -u = -11*z + 856. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*h + 101 = 0, 5*h - 149 = -0*n + 3*n. Let d = 55 + n. Is 20\/12*d + 215 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 590? (a) -3 (b) 256 (c) -1038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -31. Let i = -5 - -6. Let d = y + i. Solve -3*t = 2*k - 15, -d*t + 2*k + 15 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:49 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3 + 386*o**2 + 779*o - 1164 = 0.\nAnswer: -3, 1, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 + (-7885)\/475 + 6\/10. Solve 0*h**2 - 2\/9*h**4 - 4\/9*h**3 + 0*h + v = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.418 and 1.7.\nAnswer: 13.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97363571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 42 - 239 + 49 + 59 + 44 + 48. Let t(b) be the first derivative of b**3 + 3. Calculate t(c(v)).\nAnswer: 3*v**2 - 18*v + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2952 and 85\/1968.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 67*y + 852. Let m be w(-17). Let h(r) be the second derivative of -7\/2*r**4 + 1\/10*r**5 - 343*r**m + 3*r + 0 + 49*r**3. Factor h(g).\nAnswer: 2*(g - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13, 0.39, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-35 - (14 + -29)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, q: 5, f: 2}. What is prob of sequence qw?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 110088 - 110089 + 18*n - 228*n**3 - 2*n**4 - 3*n as v*n**2 + x*n**3 + l*n**4 + s + b*n and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62670 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: Solve 15 = -3*s, 37*z - 60*z + 28*z = 40*s + 200 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4cc2 (base 13) to base 9.\nAnswer: -16043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 5*q**2 - 2 + 5*q - 3*q - q. Let f be -14 + (350\/(-15) - -21)\/(1\/(-3)). Let z(d) = 2*d**2 - 2*d + 1. Give f*z(l) - 3*t(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y - 8. Let i be f(8). Let j(q) = 805*q + 1639. Let g be j(-2). Solve 3*n + i = g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -252 - -437. Suppose -5*b = 3*o - 128 - 131, 2*b + 8 = 0. What is the remainder when k is divided by o?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*w. Suppose w*c = 395 + 133. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201569810 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**2*b)*b*b*b*b*b)\/(b*b**(-1\/2)*b*b*b)*b**6*b**(-6)\/b)\/((b**(3\/5)*b*b**(-5\/3))\/(b**(-2\/17)*b**(-7))) assuming b is positive.\nAnswer: b**(-4361\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(2 + (-49)\/28)*-12. Solve -5*y - u = -2*y + 3*d, -5*d - 20 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 100*p - 98*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 85, 28, 3, 2 in decreasing order.\nAnswer: 85, 28, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 3*j - 2. Let m(i) = -27*i**2 - 4*i + 1 - 26*i**2 + 87*i**2 - 32*i**2 - 3. Determine -2*m(t) + 3*s(t).\nAnswer: 5*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by 26\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-2)\/(320\/(-30))))\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*k**2 + 696*k**2 + 734*k**2 - 1999*k**2.\nAnswer: -1024*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 43. Solve 2*h - 6 = -2*j, g*h - j + 1 + 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 10.8. Let d = -11 - w. What is the nearest to d in 3\/7, -1, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(27\/(-3))*(2 - 4). Let p = 0.575 - 0.075. What is the nearest to j in -0.06, p, 0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddk. What is prob of sequence dkd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20*-101\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.151 + -2.151. What is the nearest to 0 in 0.2, -3, u, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.72 + 0.28. Let w = 10 - -2. Let k be (1 - 14\/w)\/1. Sort k, r, 0 in increasing order.\nAnswer: k, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 156\/42 + (-2)\/(-7). Suppose -2*f - g*y - 7 = y, 5*f - 3*y = 29. Suppose -4 = f*o - 12. Solve -z = a + 3*z + 12, -2*a + o = -5*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20828 - 903519 = 137*m. Is -6442 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*j - 1. Suppose -5*b - p + 0*p + 691 = 0, -2*b + 290 = -j*p. Suppose b - 51 = 4*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -28004?\nAnswer: 28018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (55 + -53)\/((-2)\/(-9) - 0). What is the derivative of 15*l + 8 + 2*l - x*l wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 67 and -9563.\nAnswer: -9496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 8*q**2 + 9. Suppose 24 = -2*y + 5*y. Let a be 6\/y + (-29)\/(-4). What is the units digit of k(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:51 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207 (base 11) in base 15?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -4, -3813, 5, 3, 1 in ascending order.\nAnswer: -3813, -9, -4, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 2381 = -977. Is m a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26585.2 litres?\nAnswer: 26585200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**6 + 159*r**4 + 11*r**2 + 3.\nAnswer: 120*r**3 + 3816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/77*2\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppjppppppppppx. Give prob of picking 2 p.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:34 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 24*d - 75. Let h be i(17). Calculate the greatest common factor of h and 2552.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.56\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -5, -8, -15?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-20)*s**29)\/((s*s*s\/(s*(s\/s**(3\/14))\/s)*s*s*s)\/s**13) assuming s is positive.\nAnswer: s**(235\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93994*b - 93986*b - 288856. What are the prime factors of b?\nAnswer: 36107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-12) + (-524)\/24 and (-10)\/85 - (-5186)\/1020.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/120 - l**3\/5 + 11*l**2\/20 + 7*l - 4. Factor h(d).\nAnswer: (d - 11)*(d - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 945.07 millennia to decades.\nAnswer: 94507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as 16111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701641.\nAnswer: 17, 149, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 - 66. Let r be 10\/t - 94\/18. Sort -2, -0.3, r in decreasing order.\nAnswer: -0.3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9265045969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100011111101011111 (base 2) to base 12\nAnswer: -712a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 - 278. Let m = i - -173. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 4*o**4 + 4*o**3 + 2*o**2 - 5*o + 2.\nAnswer: (o - 2)*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 13 = -58700*y + 58702*y, -c = y - 11 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 2:06 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 - 1) + 4 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 665 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19970745 rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -184*x**5\/5 - 28*x + 25. Find the first derivative of v(o) wrt o.\nAnswer: -736*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52251415 (base 7) in base 10?\nAnswer: 4399183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((43 + -45)\/((-14)\/57) - 21\/147) + 66\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(13\/5)*y)\/(y*y**11*y))\/(y\/(y**(-1\/2)\/y)*y*(y*y\/(y**(-3\/11)*y)*y)\/y) assuming y is positive.\nAnswer: y**(-1559\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**6*z + 8260*y**3*z + 23*y**2*z - 89*z + 2 wrt y?\nAnswer: 120*y**3*z + 49560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/53)*q**12*q**(-2\/21)\/q*(q\/(q\/(q*q*q**(-1)*q*q*q*q)))\/q*q)**(-32) assuming q is positive.\nAnswer: q**(-567808\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 28*y**2 - 4*y - 2. Let t be k(-3). Calculate the common denominator of t\/40 - (-7 + 8) and ((-611)\/312)\/(1\/(-2)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 552, 539, 518, 489?\n\"Answer: -4*d**2 - d + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 + 2*t - 2. Let g(m) = -13*m**2 - 6*m + 6. Let u(o) = 4*g(o) + 9*z(o). Suppose -3*f = 2*f + 30. Let w(s) = -s**2 - s + 1. Give f*w(x) + u(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001101100010100011 - 100100?\nAnswer: -101001101100011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - f. Let j be w(1). Let s be j\/8 - (-33)\/4. What is the common denominator of -6 and 3\/s*(-235)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/7)\/q**9*q**8\/q**(-12) assuming q is positive.\nAnswer: q**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 587.\nAnswer: -4\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1848.08.\nAnswer: 7392.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -15*j**2 + 2*j - 116. Let l(i) = i**2. Calculate l(z(f)).\nAnswer: 900*f**2 - 120*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.9591 or 0.49?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/8)\/(63\/420). Let z(v) = -v**3 - 5*v**2 + 4*v - 5. Give z(f).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n - 2*n)*((6 - 2 - 2)*(0 + 0 - 2*n) + 0*n + 0*n + 2*n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.728351ng in kilograms?\nAnswer: 0.000000000002728351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-84) - (1 + 2 + (-21460)\/(-4872)).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*s + 7*s + 74*s)*(-3 + 1 + 1)*(-61 - 6 - 30)*(0*s - 2*s + 3*s) to x + v*s**2 + g*s and give v.\nAnswer: 14550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/3)\/((s\/s**(-6))\/s))\/(s**(1\/2))**(-18))**(-4\/27))**(12\/7) assuming s is positive.\nAnswer: s**(-176\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35052 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84, 86, 82, 66, 32?\n\"Answer: -z**3 + 3*z**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + (-3*-6*(1 + sqrt(180))*5)**2)*5.\nAnswer: 486000*sqrt(5) + 7330522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 8*h**2 - 5*h - 6. Let r(j) = -j**2 - 4*j - 2. Let w be r(-2). Suppose -2*b - 14 = -w*z, -4*z + 9 = -2*b - 3. Is 13 a factor of u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b + 9. Let z = -31 - -35. Suppose -z*l = 33 - 57. Calculate g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33213 + 10?\nAnswer: -33203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 7455?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -272*r**3 - 3*r**2 + 22*r + 22. Calculate a(-1).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0250672 - -0.13859.\nAnswer: 0.1636572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -39. Suppose -7*c - 5*d - 53 = -3*c, c - d + 2 = 0. Let b = x - c. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.797*0.1\nAnswer: 0.0797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -123773.7 and 0.3.\nAnswer: -123773.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p + p**3)*(-3*p**2 + 4*p**2 + 3*p**2) + (5*p**2 + p**4 - 5*p**2)*(0*p + p + 0*p).\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -320764\nAnswer: 3\/320764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-72)*(-1620)\/300. Let z(b) be the second derivative of 5\/21*b**a + 4\/7*b**2 + 0 + 3*b + 1\/42*b**4. Determine h so that z(h) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131213231 + 231331?\nAnswer: -130321300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/4, -2.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24422 + 24398. What is the second biggest value in -2\/523, 2\/3, f?\nAnswer: -2\/523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = m - 0*m + 68500002, 5*x + 2*m = -68500004. Round x to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2102325777 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/20 + 13*c**4\/12 - 13*c**3\/6 - 11*c**2 - 3713*c. Calculate d(12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 + 202 = -17*v. What is the remainder when (-25)\/(-1) + (-10)\/(-5) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3833950.\nAnswer: 2, 5, 76679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 39*g - 2. Let i(f) = -3*f**2 + 44*f - 2. Let t(b) = -8*i(b) + 9*z(b). Let n(c) = c**2 + c - 1. Give n(k) + t(k).\nAnswer: -2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2.5. Let q = 95.9 - 96. What is the third biggest value in q, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - 43*x**2\/2 + 2*x + 57. What is the second derivative of t(b) wrt b?\nAnswer: -6*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139, -326, -513, -700?\n\"Answer: -187*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 9:51 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*i + 360 = -131*i. Suppose 0 = m - 5*m - 272. Let n = i + m. Solve 0 = -2*k + n*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 4. Suppose 0 = -i + 2 - 1, -3*a + 16 = i. What is the remainder when q is divided by 4 + (2 - a) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -1)*(15\/20 + -1). Which is the biggest value? (a) h (b) -4 (c) 1\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1 + (-1 + 0 + 0)*(0 + 0 + 2) + 2 - 1 - 3)*(6*i + 3 - 3).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 216*z - 42. What are the prime factors of w(13)?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50922752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2409 divided by -219\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 3*a + 0*a)*(-21 - 13 + 16) + 3 - 3 - 2*a to the form b + v*a and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 20*t - 8. Does 6 divide w(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = 5*l. Solve 9 = 2*h - 5*v - l*v, 4*v = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5978.0009 + -5978. What is the closest to p in 3, 1\/3, -3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 170198.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -971*b**8\/168 - b**5\/30 + 1460*b**3\/3 + 6770*b**2. Find the third derivative of f(z) wrt z.\nAnswer: -116520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 7*n**4 + 138 - 135 - 3*n**2 + 4*n**2 + 0*n**4 - 5*n**3 as d*n**3 + j*n + k*n**2 + m*n**4 + z and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209 - 209) + (6 - 2 - 6 - (4 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0.1, -11, -11.2, -6\/23, 1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(24))\/sqrt(12) + -3 + 3)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4664*l - 1626*l - 3885 = 1529*l + 1614*l for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -1\/180*i**6 + 0*i**3 + 1\/1512*i**8 + 1\/135*i**5 + 0*i**4 + 0 - 18*i**2 + 0*i**7 + 0*i. Find o such that f(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:53 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 78 = -5*g + 200, -4*g + 104 = -4*z. Let i(n) = -13*n - 1. Let k be i(-1). Suppose y + 0*y - k = 0. What is the remainder when g is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 + -225 + (-74 - -2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 8*b - 22. Suppose -15*p + 11 + 34 = 0. Let c be w(p). Solve 20 = c*i - 7*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34947469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19775867 is divided by 270902?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17976804517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 + 122. Let b be -1 - (4 + -3)*2. Put b, j, 6, 3 in ascending order.\nAnswer: b, 3, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = -4*s, -3*s + 0*s - 4*b + 11 = 0. Let p = -39 + 44. Let z = s + p. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/93 and 34\/217?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1042 + 1523. Let v = -402 + u. List the prime factors of v.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -2477, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -11 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49983, -99964, -149943, -199920, -249895, -299868?\n\"Answer: r**2 - 49984*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -413, -706, -999, -1292?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -125. Which is the third biggest value? (a) -3 (b) j (c) 2 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -42.4.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 f when four letters picked without replacement from xxwwxxxfxxxf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 9*o**2 + 157*o + 746. Determine a(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6744\/5 - -1353. Is q >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11524 + 11871. What are the prime factors of n?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 - -87. Let q(c) = -c**2 - 38*c - 127. Let t be q(w). Sort t, 0, -1, -4 in ascending order.\nAnswer: -4, -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Let p = -21678 - -21679. Sort -3, d, p, -4 in descending order.\nAnswer: d, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**0*k)**(-9\/8)*k**3*k*k**(-1\/12)*k assuming k is positive.\nAnswer: k**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmo when three letters picked without replacement from {o: 1, i: 1, w: 1, m: 1, a: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*h + 4546 - 3606 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1753601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*k - 2409 = -681. Let c(a) be the second derivative of a**4\/12 - 25*a**3\/6 + 35*a**2\/2 - a. What is the units digit of c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4329 = -7*m + 20*m. Let r be (-5587)\/m + 4\/18. Solve 3*a - 2*l + 5*l = -12, 2*a = -5*l - r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppyssrphddh. What is prob of sequence prp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*sqrt(125)*-2 - (-2 + sqrt(125) + -1))*5)**2.\nAnswer: -243000*sqrt(5) + 9120600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 + -2.1. Let t = 11 + -6. Let y = i + t. Sort -3, y, -0.5 in descending order.\nAnswer: y, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2289*c + 1156*c + 1141*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/168)\/((-4)\/(-10))*777\/74.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 51758.859.\nAnswer: 103517.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012212324 - 1?\nAnswer: 1012212323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*s + 1 + 3 + 9*s + (0 - 2 + 0)*(3*s + 4 - 4))*(6*s**2 + s**2 + s**2) as b*s**3 + l*s + y*s**2 + v and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 179394533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -4, -44, 547 in decreasing order.\nAnswer: 547, 108, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 3*x + 555. Suppose x - 11 = 5*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 65*k + 1362. What is o(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (16 - (11 - -12))) + 4928\/(-2541).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7, 5, -4, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = 2*m, 5*m - a - 24 = 3*a. What is the units digit of 5\/(-3 + m\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 5*l**3 - 4*l**3)*(-10 - l + 10) + (-5*l - 3*l + 10*l + 6*l**3)*(-4 + 4 - l).\nAnswer: -5*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11112240 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -393*z + 393*z + 30*z**2 + (0 + 1 - 2)*(3*z - z**2 - 3*z) - z**2 - 4*z**2 + 6*z**2 - 2 + 2 + 3*z**2 as l + c*z + g*z**2 and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 - o**4\/6 + 7*o**2\/2 + 17*o. Let k be a(3). Let x(m) = m**2 - 11*m + 5. What is the tens digit of x(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9348 - 2729619\/292. Let k = 1249\/7884 + y. Which is the fourth smallest value? (a) -0.2 (b) 3 (c) k (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2905633 or -2905627?\nAnswer: -2905627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/396 and 95\/216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*o + 11799 = 2493, 0 = 3*v + 3*o - 27909. Suppose -5583 = 3*f + 3*w, v = -5*f - 8*w + 4*w. Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, s: 1}. Give prob of picking 1 s and 2 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -317, -482, -647, -812?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21554, -166867, -561278, -1329335, -2595586?\n\"Answer: -20758*w**3 - w**2 - 4*w - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from cnwsu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.47, -0.1, -0.7, 0.2, 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 d, and 1 q when four letters picked without replacement from {q: 1, s: 6, x: 5, d: 7}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 18*j + 5. What is z(-5)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00197064 rounded to 5 decimal places?\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 32*h**2 - 10. Determine d(32).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -51 + 11. Let a be -2 + -13*(2 + -1). Let n = -11 - a. What is the highest common divisor of r and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbuuuuu. Give prob of picking 1 b and 3 u.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -63*f - 163. Calculate the remainder when 2149 is divided by m(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2026 + 35*z**2 + 8*z + 2026 wrt z?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.8. Let h = -14 - -28. Let x = 10 - h. What is the third smallest value in 4, s, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 1 l when three letters picked without replacement from jkrjlleg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 84, 197, 308, 417, 524, 629?\n\"Answer: -q**2 + 116*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let f(o) = -69*o - 50. Let k(h) = 350*h + 255. Let g(l) = 11*f(l) + 2*k(l). Give g(d(v)).\nAnswer: -59*v**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 21 + 46 = -27 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6580\/(-442) + (-4)\/(-34). Let d = -186\/13 - f. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -91c3?\nAnswer: -91c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 4*b + 2. Let p be d(-4). Suppose -5*n - p*v = -16, 0*n + 5*v = -n + 17. Factor 2\/15*y - 2\/15*y**n + 0.\nAnswer: -2*y*(y - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/13375 and -4\/235.\nAnswer: 628625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -568\/55, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrwrwwwwwwrwwwr. What is prob of picking 1 r and 1 w?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 176, 188, 202, 218, 236, 256?\n\"Answer: f**2 + 9*f + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 81*g**4 + 212033214*g**3 + 1484229852*g**2 + 3463200930*g + 2693599923 = 0.\nAnswer: -2617687, -7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -401, -432, -487, -572, -693, -856?\n\"Answer: -f**3 - 6*f**2 - 6*f - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*s - 445 - 80, 0 = -3*s + 4*d + 395. Suppose 3*l - 47 = 49. Calculate the remainder when s is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 10, 46, 80?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -18 + 12 + -5 + 70.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**2\/z))\/z**(2\/23))\/(z**2)**(1\/14) assuming z is positive.\nAnswer: z**(-37\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -649*q. Let r(n) = 3*n. Calculate i(r(k)).\nAnswer: -1947*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 3*m**2 - 3*m + 3. Let n(a) = -a**3 + a**2 - a + 1. Give -3*n(x) + r(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1667\/4 not equal to -417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 72*o + 305. What is w(31)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1804 divide 2178140580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from bkkwdb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 567*h**2 - h - 5. Let d be z(5). Suppose 12*n = 17*n - d. Suppose 0 = 15*u + 88 - n. List the prime factors of u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:31 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4680, 9360, 14040?\nAnswer: 18720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 - 131*x - 188. Is u(41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 43*t - 528 = -46*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 1202236.\nAnswer: 115414656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w + 7. Let l(n) = -n. Let c(g) = -3*l(g) - o(g). Let f(z) = -7*z - 8. Let p(m) = -6*c(m) + 7*f(m). What is the derivative of p(r) wrt r?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1025 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**2\/2 + 2. Let m be o(5). Suppose 149*d - 330 = 143*d. Calculate the greatest common divisor of d and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {y: 3, e: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 5*q**2 - 5*q - 1. Let j be g(6). Suppose 0 = 4*l + 5*a - a - 328, 4*a = -j*l + 411. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -2*l**3\/3 - l. What are the prime factors of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.01. Let f = 3.1355 - 0.1355. Let s = -13 + 18. Put s, f, n, 0.1 in decreasing order.\nAnswer: s, f, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 0.2 (c) -3\/2 (d) -2\/7 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 94*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.01 - -36.21. Let b = i - 31.854. Round b to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/15, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -14\/9, 1\/5, -55, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9885127*b + 461348033.\nAnswer: -9885127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*15\/9 - 2. Suppose 5*r - 5*g = -1 + 6, 3 = 2*r - k*g. Let h(f) = f**3 - 5*f**2 + 5*f. Let i be h(4). Solve r = z - i*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663005173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/6 - 86*i\/3 + 58 = 0.\nAnswer: -174, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -595 - 584 - 595 + 1761 - 3*h. Let b(i) = -7*i - 25. Determine 2*b(k) - 5*j(k).\nAnswer: k + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert a39 (base 12) to base 8.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in -25, 0.1, -4, -9?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -17 in decreasing order.\nAnswer: 5, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*m + 6 - 342*m - 6 - 228*m.\nAnswer: -133*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6103, 6115, 6135, 6163, 6199?\n\"Answer: 4*j**2 + 6099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*v, -96*v = 4*h - 91*v - 32323985. What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -84601.578 to the nearest 1000.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6507 + 6511 + 25*d - 344*d to the form y + v*d and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*(-49)\/(294\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 769\/510 + -2\/255. Let o(y) be the third derivative of 1\/20*y**5 - q*y**4 - 10*y**2 + 0*y + 0 + 18*y**3. What is j in o(j) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-24))\/((-8)\/(-6)). Solve 5*g - 4 = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z = 5*f - 3, -3*f = 5*z + 7. Let g = -2.3 - -2.5. Which is the third biggest value? (a) f (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282453689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2060 equal to -4121\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-6) - 3) + 1250956\/(-129). Is b < -9696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 30. Let f be (-4)\/3*-4*6\/(-16). Let d be 25\/a - 1\/f. Which is smaller: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 - x**4 - 299512*x**3 - 234*x + 1149.\nAnswer: 40*x**3 - 12*x**2 - 1797072*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 = -26. Let n = 84 - 55. Sort n, d, 1 in ascending order.\nAnswer: d, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:34 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 smaller than 1\/120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (70\/(-15))\/(2\/(-3)). Let t = -10 + d. Let h(j) = -3*j + 4. Let k be h(3). Put t, 3, k in descending order.\nAnswer: 3, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 + -0.4. Which is the closest to -3? (a) 5 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.055 + 0.045. Put -4, 1\/12, t in descending order.\nAnswer: t, 1\/12, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 + 46 = 0. Suppose -162 - 9 = -9*h. What is the remainder when j is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/14 - 14*h**3\/3 - 366*h**2\/7 + 1872*h\/7 + 8673. Find t, given that l(t) = 0.\nAnswer: -39, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, -99, -0.5 in descending order.\nAnswer: 20, 1, -0.5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d + 2*p - 112, 12 = d + 3*p. What is the greatest common divisor of 216 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 17*z = 24. Let j be -1*(2 - 0 - 3). Calculate the greatest common factor of z and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411086537 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 5514 = 5580 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -13. Suppose 324 - 34 = 5*g. Let p = g + -58. Put q, 0.06, p, 4 in increasing order.\nAnswer: q, p, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.4 * 0.1.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 7*z**2 + 5*z - 2. Let t be u(9). Let w = t - 160. Round w to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 + 16178*m**2 + 3861410*m - 3877586 = 0.\nAnswer: -233, 1, 8321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**3 + 521164*b**2 - 16976005260*b + 16975484100 = 0.\nAnswer: 1, 65145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 237313 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(600)*1*-2)\/((sqrt(768) + sqrt(768)*3)*6*5))**2.\nAnswer: 1\/4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 54.23. Let o = -1600.68941 - -1599.46. Let y = o - x. Round y to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 589.9 + -590. Let j = -0.34 + -0.06. Let r = 0 - 4. Which is the nearest to 1\/4? (a) j (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a93 (base 14) to base 4.\nAnswer: -3030021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 303967228*p**2. Let c(q) = -3*q. Give o(c(i)).\nAnswer: 2735705052*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(3 + (-1382)\/460). Calculate the greatest common factor of x and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + 7224.\nAnswer: 7223.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 5\/3 (b) 2\/71 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202021120 - 211020?\nAnswer: 1201110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20000 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 1948 - 1954 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-56))\/(-5)*(-72)\/(-18)*(-2464)\/168.\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.54. Is c smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3055227 to 3 dps.\nAnswer: 3.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/70)\/(2\/(-3)*240\/800).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.536025 micrometers to kilometers.\nAnswer: 0.000000000536025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/20)\/(6058972\/(-34040) - -178)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*t - 36 = -61*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 333, 609, 775, 783, 585, 133, -621?\n\"Answer: -8*k**3 - 7*k**2 + 353*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2821.4719 to the nearest integer.\nAnswer: -2821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4*s**2 + 4780*j**3*t**2 + 3*j - 124*s**2*t + s*t**2 wrt j?\nAnswer: -24*j**2*s**2 + 28680*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 32*c - 112. What is the tens digit of b(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 7*y + 7. Let a be x(6). Let w = a - -2. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 88394*n**3 + 5*n**2 - 5*n + 3. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 - 4 = 0. Let y be 5457 + -17 - n*2. Suppose 0*m = -6*m + y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*a + 38299 - 15436 = -40643. What is the remainder when a is divided by 74?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/4 + 8\/4. Suppose 5*x - 7 = 2*r, -2*r - q = 2*r + x. Put r, -36, -3 in increasing order.\nAnswer: -36, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 182*n. Let h(k) = 365*k. Calculate 4*h(f) - 9*x(f).\nAnswer: -178*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185167\/6 - 30862. Sort k, 2, 20 in ascending order.\nAnswer: k, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tncnxtrnrpncn. What is prob of sequence tt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**4\/4 - 3*q**3 + 2*q**2 - 9*q - 8. Let f be o(9). Determine v, given that 3*v**2 - 33 - 4*v + f - v**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -477, -1086, -1951, -3072, -4449, -6082?\nAnswer: -7971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 - x**2\/2 + 6*x. Give z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6430848 is divided by 140.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*q**2*w**3 - 350*q**2*w**2 - 3658*q**2 wrt w?\nAnswer: -18*q**2*w**2 - 700*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 139 + 159 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 14*x**2 - 9*x - 18. Let o be d(-15). Suppose 16*u = 17*u - o. Calculate the highest common factor of 57 and u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*a - 214*a - 35, 238529 = j + 6*a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 3*a + 3*a + 0*a + 2*a + 0*a - 4*a + a + 5*a + (5*a - 4*a - 3*a)*(3 + 0 - 4) + 0*a - a + 2*a - 3*a + 6*a - a + 3*a - a - 4*a - a - 48251 + 49042 - a.\nAnswer: 6*a + 791","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 0.1, 165, 10\/2501?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26\/8 - 3) + -1)\/(21\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 13*h**2 - 48*h + 6. Let y be r(-16). Is y\/(-24) + (-3629)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5738344 (b) 3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 37 = 4*a + 11, 3*a - 17 = p. Let m = -5 - p. Factor 2\/7*y**4 - 2\/7*y**2 + 0*y**3 + m + 0*y.\nAnswer: 2*y**2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271156 is divided by 9684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c - 96 = 4*p - 45*c, -23 = p - c. Suppose -w = 3*r - 28 + 1, -3*r = -2*w + 54. Let i = w + p. Sort 0, i, -1.\nAnswer: -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 - 29. Let d = -99 + j. Solve -d*o - 4 - 14 = -p, 0 = -4*p - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) - (sqrt(78) - 1*sqrt(78)*-1))) + -2*sqrt(78)*2)\/(sqrt(18)\/(sqrt(21)\/sqrt(7)) + sqrt(6) + 3*sqrt(294) + sqrt(6)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824\/18468*90\/40?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -405011 (base 6) in base 16?\nAnswer: -7dbf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c - 7*c + 8*c)*(0 + 3 + 0)*(4*c + c - 3*c) to the form k*c**2 + a + q*c and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (-4 + (-1*sqrt(363) - sqrt(363) - sqrt(363)))) + 2 + sqrt(3)*-1 + 2*sqrt(108))*-6.\nAnswer: -330*sqrt(3) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254720.3 rounded to the nearest 100?\nAnswer: 254700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436918 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z**2 + 0*z**2 - 4*z**2)*(z + 5*z - 5*z) + 7*z**3 - 4*z**3 - 4*z**3 + (-z + 2 - 2)*(2*z**2 + 2*z**2 - 2*z**2))*(123*z + 559 - 559).\nAnswer: -492*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-3 + 8\/2). Let k(u) = 2*u**2 + 2*u**2 - 2*u**2. Let b be k(s). Let g(o) = -5*o + 1. What is g(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1 + 0 - 0). Let c(w) = v*w + 2*w - w. Let s(m) = 4*m**2 + m**2 - m**2 + 8*m**2. Give s(c(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 208 + -133. Suppose 4*o = 45 + h. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986721990 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 83. Let v(n) = -15*n - 2. Let u be v(1). Let p = u + 16. Sort z, 14, p.\nAnswer: p, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {k: 5, q: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 88, 32, 0, 31, 9 in increasing order.\nAnswer: 0, 4, 9, 31, 32, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spj when three letters picked without replacement from zpzpzbjjfpbsspz?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2579 or -2580?\nAnswer: -2580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 7*u**3\/2 - 13*u. Let q(m) = 2*m. Give q(a(n)).\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Let t be y(4). Suppose r - 11 = 6*u - 2*u, -5*r - t = u. What is the units digit of (1 + -2 + r)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/200 and 7\/2.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 20*c**5 - 52*c**4 - 204*c**3 + 388*c**2 - 56*c - 96 = 0.\nAnswer: -3, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let q = -44354 - -44356. Let r(n) = -15*n - 4. Determine q*c(m) - r(m).\nAnswer: 13*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(((-243)\/(-300))\/((-867)\/(-1445)))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a - 14433 - 14428 + 3*a - 14428 + 3*a + 43289.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5780065 = 3*v, 5*v + 128*w + 9633451 = 121*w. Round v to the nearest ten thousand.\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 14*n - 2*n + 46*n as f + y*n and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5109792 to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4713745208 to the nearest integer?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -27, -53, 1, 2\/7 in ascending order.\nAnswer: -53, -27, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 184*v**2 - 19*v - 30*v - 158*v**2 + 343*v**2.\nAnswer: v**2 - 48*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/120 - f**5\/60 - f**4\/24 - f**3\/6 - 14*f**2. Let c(d) = 4*d**3 - 5*d**2 - 5*d - 1. Determine -c(p) + 5*o(p).\nAnswer: p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10939949 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -3*j**5\/20 + 422*j**2 - 9. Let g(p) = -5*p**2 + 0*p**2 + 2*p**2. Calculate g(s(u)).\nAnswer: -243*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 6:08 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/3474, -16, 3\/4?\nAnswer: 1\/3474","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 0.1 (b) 0.4 (c) -5 (d) -0.04 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.9 - 3.1. Let c = z - -77.3. What is c rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*4\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, -57, -82, -127, -198, -301, -442, -627?\n\"Answer: -d**3 - d**2 - d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334 (base 9) to base 8.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w**3 - 7*w**2 + 2. Let z(r) be the second derivative of r**5\/4 + r**4\/3 - r**2\/2 - 6*r - 4. Determine -3*b(k) - 5*z(k).\nAnswer: 2*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 30. Suppose -25 = 9*f - 4*f. Calculate the remainder when a is divided by (-2)\/(-3)*(f - -26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2894)\/2894)\/(1\/57*-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/(-12325))\/(12\/75)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 12\/5*u - 62\/5*u**2 + 2*u**3 + 0 = 0.\nAnswer: 0, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42562154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149815, 150406, 150999, 151594, 152191, 152790?\nAnswer: 153391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39275028 minus -54.44?\nAnswer: 39275082.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*r - 7664 = -b, 11528 = -3*b - 2*r. What is b rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20946473 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: Suppose 0 = 3*k - 3*m - 447, -m + 2*m - 427 = -3*k. Let s(z) = -z + 1. Let h be s(-3). Suppose h*l - k = l. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:17 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 + 6*h**2 + 13*h - 2. Let d(f) = -f**3 - f**2 - f - 1. Let k(o) = 6*d(o) + u(o). Let x(v) = -v + 1. Give k(a) + 6*x(a).\nAnswer: -a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 677674 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 560, 842, 1124, 1406, 1688?\nAnswer: 1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1018*g*u**2 - 62*g*u - 56874*u**2 wrt g.\nAnswer: -1018*u**2 - 62*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((4 - -1) + -2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 88\nAnswer: 5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11906748 to the nearest integer?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-4))\/1)\/(((-12705)\/66)\/35).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 332, 1085, 2552, 4973?\nAnswer: 8588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167.6*1.\nAnswer: -167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.46 + 0.0256.\nAnswer: -10.4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1368*d**2 + 8*d + 5. Let j be u(-9). Let q = j - -33202. Let p = q - -49673. What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1642247829 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 14\/563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 11496.1370855?\nAnswer: 11496.6370855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 21. Suppose 225 = 3*y - 0*y. Let t = y + -39. Calculate the smallest common multiple of t and p(19).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 5. Let i(k) = -6*k**3 - 9. What is 7*f(m) - 4*i(m)?\nAnswer: 3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b + 379*b + 86*b + 323*b.\nAnswer: 721*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a decade?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*m + 249 = 0, 4*b - 68 - 128 = 4*m. Calculate the remainder when (b\/12)\/(3\/24) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28846\/(-38) - 16\/(-152). Let b be 3\/(-2)*(-44)\/g. Suppose -4*x - 5 + 1 = 0. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 7*t + 5. Let l be q(-8). What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54\/5 of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 9:48 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12392332 less than 12392332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(((-4290)\/132)\/((-10)\/(-22)))\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1757, 1768, 1787, 1814, 1849, 1892, 1943?\n\"Answer: 4*y**2 - y + 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (43 - 15) + -60?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*d + 4695, -5*b - 2469 + 10291 = -2*d. Determine r, given that -2*r**4 + 4*r**2 + b*r - 2 - 1564*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 28027 - 28022 = 4*v, -3*d = -3*v + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y - 5. Let g(k) = -11 + 20*k + 21 + 15. Let m(p) = 2*g(p) + 11*u(p). Does 12 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = 5*s, 2*i + 8 = 2*s + 2. Sort 89, 5, s, -2 in decreasing order.\nAnswer: 89, 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.094509+0.342\nAnswer: 0.247491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3948 + 3952. Solve -a + r*l = -6, 17 - 11 = -5*a + 2*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*18\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 684021958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/23 - 1392136*o\/23 - 242255330312\/23 = 0.\nAnswer: -348034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f. Let r = -259 + 257. Let c(h) = -h. Determine r*w(s) + 28*c(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(-63)\/(-1785) - (-4)\/35?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 2*r + 4. Let m be l(3). Let y = m + 20. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*p - 5*g - 1217 = 0, 3*g + 31 = -514*p + 513*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12159714 by -4053238.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 14 = 25*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-131*r - 131*r - 136*r)*(0 - 3 + 5 + 2*r**3) to i*r**2 + l*r**4 + k + c*r**3 + d*r and give l.\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7757.26 rounded to the nearest 10?\nAnswer: -7760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*q - 186. Calculate the highest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/20)\/((-8)\/(-2000))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412 and 5302234.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.027, -2\/307, 1, -0.4, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939208.\nAnswer: 2, 19, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4023444 + -3202?\nAnswer: 4020242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffn when three letters picked without replacement from lflnlflhlefnlfnele.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 42. Let k(h) = -1316378*h. What is k(q(o))?\nAnswer: 3949134*o**2 - 55287876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/5*f**2 + 2\/15*f**4 + 22\/15*f + 2\/15*f**3 - 8\/15 = 0. What is f?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*v**2*x**2 - 4*v**2 + 2*v*x**2 + v - 862*x wrt v?\nAnswer: 320*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 17*c + 31. Let j be m(-15). Solve 12*d + 59 = -j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(7) + sqrt(28)) + sqrt(33))\/(sqrt(99)\/(sqrt(27)\/sqrt(3))).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 9*l**3 - 20*l**3 + 0*l**2.\nAnswer: -29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/56 + -1 - 26396\/(-7).\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10}. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110\/3 - -30. Suppose -384 = 2*d - 370. Is o greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10383 or 673\/3?\nAnswer: 673\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48427034, -48427036, -48427038?\n\"Answer: -2*l - 48427032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2042? (a) 436 (b) 4 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*v - 87*v - 94*v - 90*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -154 - (83 + -118) - -83?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -43, -58, -91, -148, -235, -358, -523?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -327, -1301, -2925, -5199, -8123?\n\"Answer: -325*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -863, -1792, -3057, -4664, -6619?\nAnswer: -8928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220019\/22915 - 7\/4583. Let -298\/5*p**4 + 116\/5*p**3 + 0*p + 0 + n*p**2 + 24\/5*p**5 = 0. What is p?\nAnswer: -1\/4, 0, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2053 (base 6) to base 16.\nAnswer: -1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g - 10*g + 2 - 2 - 6*g**4 wrt g?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*s + 84. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23507058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 + 1 - 10 + 9. Let r(l) = -l. Give b(r(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 b when four letters picked without replacement from bbkkkkkkkbkk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35388 - 35387. Suppose -2*h = -h - 3. Sort -5, h, 0, i in decreasing order.\nAnswer: h, i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 1653 + 505 = 0. Is o less than or equal to -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*x**2 + 927*x**2 - 154*x**2 to the form w*x**2 + c + d*x and give w.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:45 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 8*j - j)*(3*j + 0*j - 4*j) + 576*j**2 - 5*j - j - 12*j**2 + 89*j**2.\nAnswer: 644*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3 + 13) - 56\/(-20). Solve r = -k + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/5 (b) -2\/7 (c) 0.5 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 679.\nAnswer: 33.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) + -2*sqrt(560))\/sqrt(7) - sqrt(50)\/(sqrt(90)\/(sqrt(9)*-1))) + (3*sqrt(5760))\/(1*sqrt(200)).\nAnswer: 21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -61. Suppose 0 = -2*t + 26 + f. Calculate the greatest common factor of t and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-55)\/4620 + (-1750)\/12?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-14))\/((-6)\/21). Which is smaller: 5\/8 or o?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -330 + -3?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 349 = 136. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*n**4 - 32*n**4 + 3*n**2 - 143*n**4 + 23*n**4 + (0*n + 2*n - 5*n)*(0*n**3 - 2*n**3 - 4*n**3).\nAnswer: -59*n**4 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.34 + -817.\nAnswer: -788.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:30 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*x**2 - 24*x**2 + 270*x**2 + x to the form d*x + c + n*x**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**4 - 33*n**3 + 7*n**2 - 9*n. Let f(c) = 2*c**4 - 8*c**3 + 2*c**2 - 2*c. Let s(y) = 18*f(y) - 4*u(y). Solve s(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78904304.\nAnswer: 2, 859, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -1, 4, -16, -36 in descending order.\nAnswer: 4, 2, -1, -16, -17, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386261943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11711017, 11711015, 11711013?\nAnswer: 11711011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 10. Let o(f) = -17*f - 55. Let h(u) = -11*n(u) - 2*o(u). Let i(y) = 89*y**2. Calculate i(h(b)).\nAnswer: 89*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(-1)\/(-2))\/(-1). Let f be 3 + 3\/3*-24. Let k = -19 - f. Put k, -3, w in ascending order.\nAnswer: -3, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*g*w - 629*b*g + 3*b*w + 9*b + 236*g*w + 2*w - 69 wrt b.\nAnswer: g*w - 629*g + 3*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73441?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 7, 1, -19, -59?\n\"Answer: -z**3 + 2*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 divided by -128?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000077738041 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*n + n - 3*n)*(6 - 6 + 5*n**2) + (-497*n**2 + 237 + 244 - 481)*(3*n + 0*n - n) to f*n + o*n**2 + x + h*n**3 and give h.\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/5*15\/9. Let f(k) be the first derivative of 3\/7*k**2 + h + 4\/7*k + 2\/21*k**3. Determine v, given that f(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -14*i - 2*n + 8844, -2*i = 3*n - 4414. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*k + 185*k - 986*k + 185*k + 192*k + 185*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 65*k**2 + 210*k + 184. Determine u(-29).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54697.78 litres to millilitres.\nAnswer: 54697780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 101*n**3*t - 416*n**3 - 2*n**2*t wrt t?\nAnswer: 101*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/8 + u**3\/4 + 7*u**2 + 39*u\/4 - 135\/8 = 0. Calculate u.\nAnswer: -5, -3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -11367?\nAnswer: -1\/11367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1373*r + 2758*r - 1383*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 16 - 2 = 0. Which is greater: n or -27\/14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Let z(j) = j**2 - 5*j + 2. Let l be z(2). Let s be (-26)\/68 + (-2)\/l. Let p be (2\/(-2) - -2)*1. Is p less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120022 (base 6) in base 14?\nAnswer: 3ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -157f + c?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149130 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49440 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in -0.3, 1\/11, 0.01, 4, 0?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18599 and 703347755.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -178*u**3 - u - 1. What is the units digit of x(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, o: 7, b: 5}. What is prob of picking 1 b, 2 o, and 1 q?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*4\/16)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1522 (base 6) to base 16\nAnswer: -19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0 + 6. Let r(i) be the first derivative of 2*i**3 + 3*i**2\/2 - 1. Is 15 a factor of r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 1\/15*x**5 + 18*x**2 + 11*x + 0 + 2*x**3 + 2\/3*x**4. Let d(v) be the first derivative of l(v). What is o in d(o) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 2*w**2 - w + 400. Let y be f(0). Let v = 13 + y. Does 59 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l - 5 = 0. Let q = -162 + 134.5. Let z = -24.5 - q. What is the closest to 0.1 in z, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o - 23 + 3*o - 23 + 46.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/7 - 6*d**2\/7 - 625*d\/7 - 174.\nAnswer: (d - 29)*(d + 2)*(d + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104.5 + -613.5. Let f = 347 + y. Let c = 371.289 + f. Round c to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.2 (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 10*t**2 - t - 9. Give g(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52798 and 80?\nAnswer: 2111920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613946533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 3 - (-4)\/(-2). Let o = c - -4. What is the first derivative of -o + 0*x + 2*x + 3 wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(7\/4)*(-7)\/2. Suppose 2*n - 2*j - 2*j = -200, a*n + j = -210. Let x = -21 - n. List the prime factors of x.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**5 + 50*i**4 + 1040*i**3 - i**2 - i + 5720906 wrt i?\nAnswer: 420*i**2 + 1200*i + 6240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -209 - 1.3107\nAnswer: -210.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-40)\/(-120)*9\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-287)*(-8)\/104*-13.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(-2 + 2). Suppose 3 + 4 = -4*v - 5*y, -2*y - 6 = n. Suppose -3*u + v = -1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 times 0.01233?\nAnswer: 4.45113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*c - 100*c + 7*c**2 + 5*c**2 + 160*c - c**3.\nAnswer: -c**3 + 12*c**2 + 253*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*h + 3*i - 42, 3*i - 70 = 5*h. Let d = h + 29. What is the greatest common factor of 90 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*r - 445*r + 454*r - 8127 = 0 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 - 59*w**2 + w - 92 + 443*w**3 - 446*w**3 to the form c + y*w**3 + n*w + f*w**2 and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023121 (base 4) in base 6?\nAnswer: -140133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsddvnsr. Give prob of sequence fss.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83022365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -7*y - 750. Suppose -3*x - 3*x = -y. Calculate the remainder when 49 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.8 + 0.8. Let t = v + 10. Which is the nearest to 0? (a) t (b) 0.2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.9585 and 2.\nAnswer: 7.9585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.4, 2\/13, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 82. Let g be -3 + s\/2 + (-6 - -3). Suppose 0 = -0*m - 2*m. Put 3, g, m in descending order.\nAnswer: 3, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 11*s**2 + 2*s - 12. Let x be t(-6). Calculate the greatest common factor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020549608 to six decimal places.\nAnswer: -0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*x + 44 - 7 = 0, 3*w + x = 17. Let l(r) = -4497 - w*r + 4497. Let k(a) = 1 - 4*a - 1. Calculate l(k(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2346277 rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Let w(b) = -2*b**2 - 31*b + 56. Let c(n) = 4*m(n) + w(n). Calculate the lowest common multiple of c(-19) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((29568\/(-539))\/64)\/((-320)\/(-56)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -10. Suppose -5*f + 23 + 22 = 5*k, z*k = -2*f + 20. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/9)*k**(2\/39))**(2\/15))**(-37))**(6\/5) assuming k is positive.\nAnswer: k**(592\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1220569*w**3 + 0*w - 1220571*w**3 + 0*w - 362.\nAnswer: -2*w**3 - 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 324.307 - 324. Let s = l + -0.31. Round s to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140802 <= -1126425\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 373, 477, 315, -113, -807?\n\"Answer: -133*o**2 + 503*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -207*k**3 + 2*k**2 - 7. Is i(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeyc when four letters picked without replacement from ykeqtqqyeeeteqekc.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**(-2\/3)\/p))**(18\/13)\/(p*p*p*p**(1\/4)*p)**(-18\/11))\/(p**4*p**(2\/15)*p*p**3\/p*p**(-5\/6)) assuming p is positive.\nAnswer: p**(1128\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3338, -13311, -29928, -53189, -83094, -119643?\n\"Answer: -3322*y**2 - 7*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3.85, -4, -3, -458 in ascending order.\nAnswer: -458, -4, -3, -0.1, 3.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 + m - 6. Let c be d(5). Let s be c\/2*(3 + -3). Suppose s = t - 2 - 2. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**8\/1680 - g**4\/6 - 2*g**3 + 3. Let z(w) be the third derivative of u(w). Differentiate z(p) wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 13*h**2 - h - 1. Let n be u(-13). List the prime factors of ((-6)\/n)\/(2\/(-344)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2493*n**4 + 571*n**3 - 2*n**2 + 36097597 wrt n.\nAnswer: -9972*n**3 + 1713*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 714134 (base 11) to base 6\nAnswer: 40332224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, j: 10}. Give prob of sequence jf.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 1\/264 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.073mg in grams?\nAnswer: 0.566073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(-1*sqrt(12)) - sqrt(147)\/(-1*sqrt(7)))\/(-1*sqrt(28) - ((sqrt(56)\/sqrt(4))\/sqrt(2) - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, s: 3, b: 3, u: 2}. What is prob of sequence tt?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26d397 (base 14) to base 13.\nAnswer: -380101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 + 24)*14\/(-4). Let a = 0 + 8. Let h = q + a. Let s(z) = z**2 - 3*z + 3. Let v(i) = 6*i**2 - 17*i + 17. What is h*s(l) + 6*v(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871\/(-3)*(-114)\/38 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 595 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 8*a - 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 27719729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -96*d**2 - 1319*d - 33. What is m(-14)?\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Let w(a) = -a**3 - 2*a + 3. Let p be w(-3). Suppose -5*m = 5*h + 6 - p, -h = 2*m - x. Solve 0*o + h = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/4 + 8*l**3\/3 - 10*l**2 + 9*l + 202. Let s be z(-10). Calculate the highest common factor of 315 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247575 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6 - 52. What is the remainder when 55 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-58)\/9 + (-8)\/(-18). Does 19 divide (-5 - -910) + (-2 - v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18598?\nAnswer: 2, 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r + 3 - 1 + 2.\nAnswer: 42*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y + 765. Let q be ((-13)\/(-26))\/(35\/(-80)*-7 - 3). What is the units digit of (-1)\/(12\/y)*q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4069.31 centimeters to millimeters.\nAnswer: 40693.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107521 - 107521 - 7*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/9)*(j**(-4\/7)\/j*j)\/j*(j*j**(-2)\/j)**(-26) assuming j is positive.\nAnswer: j**(3184\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46039 at least as big as 46261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 7, -3, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 191 + 143 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367559 = -148*k - 64*k + 875821. Calculate the highest common divisor of k and 850.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 + 4*n**2 + 1. Let x(r) = -r**2. Let q(u) = -k(u) - 4*x(u). Differentiate q(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**2 + 8*j**2 - 1746*j**3 - 2 + 1746*j**3 + 229*j - 234*j + 6130*j**4 wrt j.\nAnswer: 147120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -52*a**5\/7 - 245*a**4 - 14111*a**3\/7 - 1744*a**2 + 240*a\/7 = 0.\nAnswer: -20, -12, -1, 0, 1\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.070941 from 350754.\nAnswer: 350753.929059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba5 (base 14) to base 3.\nAnswer: -10011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 - 322*k**3 + 22284*k**2 + 1445128*k - 84638240 = 0. What is k?\nAnswer: -370, -68, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u - 5 = -p, -2*p + 6 = 0. Which is the biggest value? (a) u (b) -2\/15 (c) 1\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 0.38. Let y = -12 + 7. Let m = 227.5 - 228. What is the third biggest value in j, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 85*g - 1493. Give w(-60).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014196 is divided by 1841.\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*o**3 + 107*o**2 + 36*o + 15 wrt o.\nAnswer: -528*o + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 3*o**3 + 11 - 11 + 1 with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkdk when four letters picked without replacement from pdpkskddspkkddpddkd.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-1)*1\/(-6). Let r = 11 + -45\/4. Sort t, 2\/9, r in increasing order.\nAnswer: r, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117799*f*q + f + 11*q + 550336 wrt q?\nAnswer: -117799*f + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7*t**2 + 5*t - 3. Let m(b) = b + 7. Let w be m(-10). Let g = w - -9. Calculate the lowest common multiple of y(-5) and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.8 + -15. Let m = 3.8 - u. Put -0.2, -0.1, m in descending order.\nAnswer: -0.1, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-4) + -4 + 3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -12*o**3 - 3*o**2 - 13*o - 21. What is the hundreds digit of d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m = 31*m - 1434. Is m at most as big as -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -7156.536\nAnswer: 7156.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8125, -7569, -6643, -5347, -3681?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 7\/2 (c) -0.4 (d) -1 (e) -21\/100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6941 (b) 1 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14178977 is divided by 30168.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 5, 138?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/203 and 16\/4611.\nAnswer: 32277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 115*s + 3. Let v(h) = 2*h**2. Give v(w(d)).\nAnswer: 26450*d**2 + 1380*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let j = 17 - 20. Sort b, j, 0 in ascending order.\nAnswer: j, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1868 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 4*c + 4. Let q be l(-2). Suppose -5*h + 5*f = -2*h + 8, 2*h = q*f - 6. Put h, -4, 20, -5 in decreasing order.\nAnswer: 20, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2. Let k(g) = 5*g**2 - 4*g - 4. Suppose 5*a - 8 = 2. Let y(d) = -14*d**2 + 9 + 4 + 11*d - a. Let s(c) = -11*k(c) - 4*y(c). Give v(s(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvllnwvvnlvvnmmn. Give prob of picking 2 n, 1 m, and 1 w.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1019 (b) 0.1 (c) -243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 59. Suppose 23 = -4*f - 29. Calculate the remainder when w is divided by (-2 - -1)*(f - -16) + 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79335 is divided by 315?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 36 = d, -4*d + 28 = -3*u - 5*d. Let x = -4 - u. Let n(l) = -l**2 - 27*l + 2792. Let t be n(41). Solve t + x = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*w - 5*w. Let j = 9 + w. Let f = 17 - j. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166750 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/5 - (-9 + (-914)\/(-30)) and -41\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3805*i - 219123 wrt i.\nAnswer: -3805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/(c**(2\/75)*c) assuming c is positive.\nAnswer: c**(73\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hyyyhyyyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3322456.\nAnswer: 2, 31, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t**5 - 4*t**5 + 7*t**5 + (t - 2*t + 0*t)*(0*t**4 + 2*t**4 - t**4 + (t**2 - t**3 - t**2)*(2*t - 3*t + 0*t)).\nAnswer: 11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + i**2 + 6. Let k be h(0). Suppose -k - 6 = -4*u. Suppose 2*m = u*l + 10, -5*m + 0 = -l - 25. Solve -3*q + 4*z = 3 + 2, -q - z + 3 = l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19954036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - -0.09. Let t = -0.52 + c. Let w = 10 + -14. What is the third biggest value in t, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -10001011?\nAnswer: -10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**4 + 1533*h**3 + 4*h**2 + 3902433 wrt h.\nAnswer: -4*h**3 + 4599*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122256787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-130)\/(-36) - 0 - 0 and 166\/(-88)*2 - 0?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.181 + 0.181. Let u = 4 - 9. What is the biggest value in u, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*r - 244, -r + 3*x = -3*r + 150. Let f = -47 + r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241.8 times -0.43\nAnswer: 103.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2415, -2365, -2315?\n\"Answer: 50*c - 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -4513.\nAnswer: -4\/4513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 206, 403, 602, 803, 1006, 1211, 1418?\n\"Answer: j**2 + 194*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 298*h - 131*h**2 - 69*h**2 - 418*h - 18 = 0.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3967200 and 89\/300.\nAnswer: 3967200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 41*z**2 - 3*z - 2. Let n be r(-2). Let q = n - -568. Calculate the greatest common factor of q and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ba2 (base 15) to base 3\nAnswer: -1011101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 46*d**2 + d + 24*d**2 - 2*d. Is p(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654879 divided by 218293?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21595, 21643, 21691?\n\"Answer: 48*i + 21547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3570630883 to the nearest one million.\nAnswer: -3571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0 + 2. Suppose 3*n - 25 = n - 5*c, h*c - 10 = 3*n. Suppose l = -n*l + 4. Sort l, -2, 2 in ascending order.\nAnswer: -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 159\/7? (a) -58 (b) 0.1 (c) 0.4 (d) 7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 2. Let w be t(-2). Is -1\/36 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13379721 and -1.\nAnswer: 13379721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*3\/(-9)*-2. Let x(d) = d**2 - d**u + d**2 - 3*d**2. Let l(z) = 8*z**2. Determine x(l(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = 0, 7*d + 3938 = 2*l + 9*d. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5888081 - -3?\nAnswer: -5888078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + -399. Let k = d - -1608\/7. Which is the nearest to -2\/5? (a) k (b) 7\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 9*d**2 - 12)*(1 - 1 - d) + 4002*d**2 - 4002*d**2 - 62*d**3.\nAnswer: -53*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -40333*f + 40324*f + 364 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000090132 rounded to six dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 138.\nAnswer: 3, 14, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b. Let l(x) = 7 + 34*x**2 + 5 - 12 - 22*x**2. What is g(l(k))?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 11*r = -g + 30, -2*r + 15 = g. Solve 3*x = -o - g, 0 = -3*x - x - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 4}. Give prob of sequence uu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16\/81 - -2866\/567. Let a = 184\/35 - o. What is the third smallest value in a, 2\/3, -1\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-18))\/(10\/6). Let b be (1227\/24*10\/(-205))\/1. Let i = b - 1\/164. Sort 0, i, n, 1.\nAnswer: i, 0, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1346466*o**2 + 1071588*o wrt o.\nAnswer: -2692932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*o**2*p**2 + 237*i*o + 3*i*p**2 - 2246892*o**2*p + 31*o - p**2 - 2*p wrt o.\nAnswer: 4*i*p**2 - 4493784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 2*n - 831. What is the remainder when l(24) is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.06 + 2.05999751. What is p rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 60 = -4*z, 5*z - 49 = -4*x + 10. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003041957 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -65. Let t = 6413 - 6382. Calculate the remainder when t is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271 or -27842\/103?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4 - (-18)\/(-12). Let i(z) = -2*z + 1. Let w be i(2). Is w at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**2\/2 - 2411481*z\/2 - 7234389 = 0.\nAnswer: -803821, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, x: 6}. Give prob of picking 1 w and 1 x.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1083, -6, 18, -4 in descending order.\nAnswer: 18, -4, -6, -1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.1 - 2.1. Let g = -34 + q. Is g >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 4, d: 2}. What is prob of sequence dww?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/10)\/(1\/(-65)). Let p be 2 - (j\/15 - 1). Let n = 2 - 0. What is the second biggest value in n, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -8*b - 4730. Let j = b + -399. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*x + 13 = -130*x. Calculate the remainder when 61 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54087635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = -14. Let y(c) = c - 2. Give y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b**(-1\/14) assuming b is positive.\nAnswer: b**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126 + -1165?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 63*w**6\/40 - 71*w**3\/3 + 115*w**2 - 2. Differentiate h(a) wrt a.\nAnswer: 567*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*i - 499796 = 15*i. Which is smaller: 0.1 or i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 + 378345054*s - 11928748323855243 = 0.\nAnswer: 63057509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27839, 55679, 83519, 111359, 139199?\n\"Answer: 27840*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 9*z**5\/20 + 17*z**4\/2 + 18*z**3 - 60*z**2 + 301*z. Factor m(c).\nAnswer: 3*(c + 2)*(c + 10)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24290404 and -16945.\nAnswer: -24307349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i = 11*i + 4*b - 16, -16 = 4*i + 8*b - 7*b + 2*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*h**2*w + 141*h**2 - 16*h*w - 84*h - 277*w wrt h?\nAnswer: 80*w + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 0.27 (c) 1151 (d) -2 (e) -387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194043 and 852.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 42*v - 22. What is the hundreds digit of u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -10. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(3\/11)*v)\/v*v*v*v)*v*v)**(-3\/14))**(14\/11) assuming v is positive.\nAnswer: v**(9\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 + 39 = -100*z + 110 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 33462364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/4*(-188)\/470*((-85)\/2)\/1.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmhmwwwhhwnwwhwhnnw. What is prob of picking 1 w and 2 h?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36181 rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 7) + -8 - (5 + 4 + -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13618 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 22*i + 5. Let m be (-6)\/(i + 2) - 7\/(-14). Put m, -0.3, -14 in descending order.\nAnswer: -0.3, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057825 to 5 dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 1504127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/9 - (-4)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -49 - 4*z + 50 - 2*z. Let q(b) = -b. Let x(i) = o(i) - 3*q(i). Let w(r) be the first derivative of -3*r**2\/2 + r + 21. Give -2*w(f) + 3*x(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 54, -2 in decreasing order.\nAnswer: 54, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/(-95) - (-168)\/5. Suppose -u*y - 458 = -35*y. Let g = y - 127. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1491 and 126309?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -4 (c) 9 (d) -5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 1, o: 1, d: 1, b: 1, x: 2}. Give prob of sequence srsb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/10)\/g**1)\/(g\/g**2)**(3\/14) assuming g is positive.\nAnswer: g**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129994 is divided by 650.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 3. Let j(f) = f**3 - 5*f**2. Let u be j(5). Suppose 2*g - 5*b = u, 3*g + 13 = -0*b + b. What is m(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let v(f) = 7*f**2 + 4*f - 4. Let z(t) = 8*t**2 + 5*t - 5. Let x be (-1 + 0)\/(2\/8). Let a(i) = x*z(i) + 5*v(i). Calculate b(a(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 1794 = -703 - 915 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 - 191. Let b = -385\/4 - r. What is the common denominator of (-81)\/(-4) + 21\/84 - 7 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 7. Let a = 23 + o. What is the remainder when a is divided by 5\/(-1) - (-108)\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 712, -2\/9, 29.2?\nAnswer: 29.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/15 + 23*i**3\/6 - 43*i**2\/2 - 28*i. Let y(s) be the first derivative of a(s). What is the derivative of y(o) wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432*b - 64 = 424*b. Let t(q) = 65*q**2 - 2*q + 1. Let o be t(1). What is the highest common divisor of b and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 677 + 933 = 5*k. Let a = k + 15. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68\/13, 3\/7, 0.3 in ascending order.\nAnswer: -68\/13, 0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 7*c**2 + 7*c + 7. Let g(j) = -2*j + 2*j**2 - 11 + 13*j**3 + 11 - 20*j**3 - 2 + 6*j**3. Give 6*d(z) + 21*g(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 = 7. Solve r*g + 2*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 20. Suppose -3*i = 15, q*d + 1 = 5*i + 26. What is the third biggest value in -0.2, d, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249246279*p**3 - 105802681*p**2.\nAnswer: -1495477674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 3 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 5*b**2 + 2*b - 21. Let x be u(4). Let g be ((-18)\/4)\/(1\/(-6)). What is the highest common divisor of g and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*u**3 - 12*f**2*u**2 + 2*f**2*u - 3561*f**2 + 18*f*u**3 + f*u + 746519*u**3 - 2 wrt f?\nAnswer: 2*u**3 - 24*u**2 + 4*u - 7122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -35 times -4.1117\nAnswer: 143.9095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgvwb. What is prob of picking 1 v, 1 d, and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) -11.369 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (-9 + -2) - (-281 - (-15 + -259))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -856\/33 + 26. Let p(f) be the first derivative of 3 - 2\/11*f**2 + z*f**3 + 0*f. Suppose p(m) = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/3)\/v))**49)**10\/(v**(2\/7)\/(v*v**(-3)))**(5\/16) assuming v is positive.\nAnswer: v**(27425\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49614 + 49613. Let m be 0\/(1 - 2) + 3. Let u(s) = -2 + m - 2*s**3 - 2*s**2 + 3*s**3. Determine u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -42876.\nAnswer: -42872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(49)\/sqrt(175)) + (sqrt(363) + 2*(sqrt(363) + -1))**2.\nAnswer: -127*sqrt(3) + 3271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*z - 55, -5*z + w + 49 + 11 = 0. What is the remainder when z is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22148304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*k**3*u**2 + 5*k**3*u - 48*k**2*u + 2*u wrt u?\nAnswer: 382*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 89 + 35 + 2*f + 54.\nAnswer: 2*f + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -37636*s**4 - 326230400*s**3 - 706951366368*s**2 - 29152217600*s - 300536896 = 0?\nAnswer: -4334, -2\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/8)\/(5544\/(-2464))?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, 201078, -5 in ascending order.\nAnswer: -5, -3, -1, 0, 201078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1966*p**6 - 81811*p**3 + 5*p**2 - 2994450 wrt p.\nAnswer: -235920*p**3 - 490866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3 + 1100*d**2 + 17335*d + 16240 = 0. What is d?\nAnswer: -203, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63309 rounded to two decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 50. Let g = k - 22. Let y be 0 + (-6)\/g + 1. Sort y, 1\/5, 4 in decreasing order.\nAnswer: 4, 1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1117*h + 18. Let w(s) = 2234*s - 31. What is -7*i(a) - 4*w(a)?\nAnswer: -1117*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2515.7625 months to decades.\nAnswer: 20.9646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157.94 + -4.06. Let w = o + 161.999914. What is w rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177793117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1145352 and 2184.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -l - 7, 0 = -5*v - 1 + 26 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 408 - 409 + 2*j)*(4*j**3 - 3*j**3 - 5*j + 7*j).\nAnswer: 5*j**4 - j**3 + 10*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -642, -7052, -24460, -58368, -114278, -197692, -314112?\n\"Answer: -917*f**3 + 3*f**2 + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160*n - 223*n - 497*n)*(-1 + 5 - 2).\nAnswer: -1760*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u + 1. Give m(8).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02400298+98\nAnswer: 98.02400298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 20*q**4 - 2*q - 27*q**4 - 2 to the form x*q**4 + u*q + l*q**3 + y + s*q**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.99 + -0.69. Let n = 1.3 - i. Are -1.59 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**3 - 5*f**2 - 18*f + 5. What is the remainder when y(-3) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63 + (2 - 12\/3). Let u = 94 - p. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h - 2\/9*h**3 + 1\/3*h**2 - 3. Determine a so that n(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.5, 4, -22, 1\/8?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 2*j + 1. Let y be o(-1). Solve -5*i = y*q - 13, 9*i - 15 = -5*q + 4*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*a + 2*m, -3*a - 3*m - 765 = -753 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*a - 26*a + 62*a - 9*a - 3738 = 0 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 616077221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6147*t**3*y - 4*t**3 + 2*t**2 + 23191768*t*y wrt t.\nAnswer: -36882*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:47 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -612 in 0.4, 0.02, -5, -3, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - 2*-2*sqrt(143) - sqrt(143))\/(sqrt(11) - (sqrt(132) + -1*sqrt(132) - sqrt(132))\/sqrt(12)) + (2*sqrt(468)*-6)**2 + sqrt(468)*-2 + 5.\nAnswer: -10*sqrt(13) + 67397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.965453 litres to millilitres.\nAnswer: 7965.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 3*y**2 + 5*y + 5. Let d be t(-2). Let i be (-12)\/27*3\/2. Let n = 1997 + -1999. Which is the nearest to d? (a) -5 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854782 is divided by 549.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1410, -2868, -4384, -5976, -7662, -9460?\nAnswer: -11388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -p + 1, 168 = 7*j + 4*p + 167 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -97b?\nAnswer: 97e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 3.2. Suppose -4*w = -6*g + g - 140, -3*g + w = 77. Let d be ((-2)\/(-12))\/((12 - 4)\/g). Which is the smallest value? (a) d (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85429.05 + -85429. Let u = 2 + -2.5. Put o, u, 0.4, 0 in decreasing order.\nAnswer: 0.4, o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 6 = -2*o, 0 = -y + 37*o - 34*o - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(285) - sqrt(285))\/sqrt(5))\/(sqrt(12)\/(sqrt(4) + sqrt(16)\/sqrt(4) + sqrt(4))) - -5*sqrt(190)\/(sqrt(490)*2 - sqrt(10)))**2.\nAnswer: 101251\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 667765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5530.\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t + 0 + 8 + t**3 + 6*t**2 + t**2. Let k be l(-9). Let r = k - -70. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/10 - 15\/(375\/10). Solve -b*u - 3 = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 587 or 572?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {a: 1, d: 8, o: 9, x: 1}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 + 4*l**2 - 7*l + 9. Let m be j(2). Solve 3*o - m = -42 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*d = 96*d + 409*d - 57816 for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) 7\/3 (b) 2 (c) -0.4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*o - 18. Suppose -l - o = -6*l. Let d = l + -1. Solve 5*f - 32 = -4*z, -f + 2 = -z + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/3*-1. Suppose o*t + 5*t = 30. Suppose -m - t = -62. What is the greatest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2186522 rounded to 2 decimal places?\nAnswer: -4.22","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74529 is divided by 24840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379478, -379481, -379484, -379487, -379490?\nAnswer: -379493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (360\/(-12) - -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 55\/37 and 615\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -63.2 + -2\nAnswer: -65.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 514, 1747, 4160, 8149, 14110, 22439, 33532?\n\"Answer: 66*r**3 - 4*r**2 - r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0*i**2 - 1\/12*i**4 + 0*i**5 + 0*i**3 + 0 + 0*i**6 + 0*i**7 - 3\/56*i**8 - 5*i. What is the third derivative of c(d) wrt d?\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37231954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012331261 rounded to 6 decimal places?\nAnswer: -0.001233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (348\/(-7540))\/(((-9)\/(-3))\/(30\/(-4)))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67663 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -47 (b) 3 (c) 24 (d) -3.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 4, 24, -73 in descending order.\nAnswer: 24, 10, 4, 1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 454 - 3*g**3 + g**2 - 453 as l*g**3 + x*g + d + q*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*b*h*v**2 - 2*a*b*h*v - 3*a*b + 26*a*v**2 + 2*b*h*v**2 + 154*b*h*v + b*v - 9*h*v**2 wrt v.\nAnswer: 2*a*b*h + 52*a + 4*b*h - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*c - 12*c + 7*c)*(-2*c - c + 2*c) + 5*c**2 + 2*c**2 + 0*c**2 as w + s*c**2 + d*c and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093985\/10 - 403\/(-62) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:40 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times 12?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -10 + 4. Let i = v + -2. Suppose 3*r - 109 = i*l, 4*r + 87 - 249 = -3*l. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*y**3 - 24*y**3 - 263*y**3 - 156*y**3.\nAnswer: -554*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 16*u + 167. Give t(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2934537379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -1500169.\nAnswer: 70\/1500169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -2, 0.1, -0.4, 829, -5?\nAnswer: 829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*c - 7872 + 1688 + 3028 = 7275 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 * 131\nAnswer: -41.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.6 - -9.6. Let i = -578 + 576. Put i, 12, m in decreasing order.\nAnswer: 12, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -6*z - 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/6 - 2*t**3\/3 - 3*t**2 + 37139*t. Let l be 46\/(-11) - 6\/(-33). Determine b(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619626 is divided by 2548?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l + 14. Let w(c) = -33*c**2 + 33. Let r(k) = -33*n(k) + w(k). Let j(u) = u**2. What is j(r(z))?\nAnswer: 1089*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 161.\nAnswer: -209.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -98273256 divided by -8189438\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-28) + 2\/(-8). Let t be 9 + -2 + 1 + l\/2. Let w = t + -3. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*n**3 + 4*n + 8 - 7\/2*n**2.\nAnswer: (n - 4)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-152)\/10*(150\/96*8 + -15). Which is the smallest value? (a) 6\/5 (b) -4 (c) -0.18 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35586372 by 102.\nAnswer: -348886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 110. Determine j(-32).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*z + 1030752 = 8*z + 63*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-3)*(-2664)\/(-1776).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5109 - -5531. What is the remainder when w is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -226469 to the nearest one hundred.\nAnswer: -226500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + (-1828)\/4*5\/405 and -97\/414.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/5)\/((-6)\/(-15)). Suppose 3*q = 4*q - k. What is the highest common factor of 45 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let g(j) = j - 4. Let w(b) = -2*b + 20. Let f(s) = 3*g(s) + w(s). Calculate f(y(u)).\nAnswer: u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5846\/3 - 1948. Let 2\/3*o - 1\/6*o**2 - d = 0. What is o?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1592*v + 5*v**2 + 1592*v. Let f(b) = -2*b + 2. Give f(k(p)).\nAnswer: -10*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -76632440\nAnswer: -3\/76632440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 + -137. Solve 11 = -a + 4*c - 3, -i*a = 3*c - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75415, 301552, 678439, 1206070, 1884439, 2713540, 3693367, 4823914?\nAnswer: 6105175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6809, 6807, 6805, 6803, 6801?\nAnswer: 6799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 64337 + 63075 = 18212. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y. Let i(w) = w - 6. Let q(c) = -22*c + 121. Let s(g) = 121*i(g) + 6*q(g). Determine t(s(a)).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44167+-0.2\nAnswer: -44167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a6a (base 12) in base 10?\nAnswer: -13618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 547 or 1091\/2?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 10*p**2 - 14*p + 12. Give b(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v - v**2 + 4*v**2 - 37*v.\nAnswer: 3*v**2 - 64*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1989*n**2 - 2770*n**2 - 6101*n**2.\nAnswer: -6882*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)\/sqrt(108))\/sqrt(10))**2*-6.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 5 (c) -2\/15 (d) -7\/92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eseggjg. Give prob of picking 2 g and 1 e.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 25*f**2 - 24*f + 24. Calculate q(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1776 + -1103. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -63, -86, -127, -192, -287, -418?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9387*w. Let f(r) = -r**2. Give v(f(s)).\nAnswer: -9387*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9546 by -959.\nAnswer: -9546\/959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5506 a factor of 3531680416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202324518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167817427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-28))\/(6\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 36*m + 140. What is s(-7)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 504*s - 20987. What is t(-76)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658*j**2 + 111*j**2 - 294*j**2 - 521*j**2.\nAnswer: -1362*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1, -5091, 0.05 in descending order.\nAnswer: 5, 2, 0.05, -1, -5091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-21) + (-6)\/(-9)*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10*h + 75. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57129 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: Suppose -26*g = 4*j - 27*g - 4608, 5*g = -3*j + 3479. List the prime factors of j.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 723290 by 5.\nAnswer: 144658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106991 is divided by 224?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 2, -0.43, -2\/5, 0.3?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068292 rounded to four decimal places?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1927 - 5173 = 355*v for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10580 divide 4258862620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 3 + 63*t**3 + 11*t - 3*t.\nAnswer: 63*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1691*g + 567*g + 565*g + 562*g. Let v(m) be the second derivative of 7*m**4\/6 - 3*m. Determine p(v(r)).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v + 4. Let j be z(0). Let p(o) be the first derivative of 0*o - 1 + o**2 + 1\/2*o**j - 4\/3*o**3. Factor p(h).\nAnswer: 2*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/(14\/35) - 22. Let i = 13 + k. Let q = 50 + i. What is the greatest common factor of 462 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:40 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2966 + 9?\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 130488819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20343 minus -38.490646?\nAnswer: -20304.509354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.44 - 0.54. What is the smallest value in -2, 6\/11, b, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*j - 27584 = -361*j - 849*j - 1169*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i + 74. Let w(x) = 7*x + 36. Let a(v) = 3*l(v) - 5*w(v). Let n be a(12). What is the highest common divisor of n and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9053647\/224 - -40418. Let x = -6059\/672 + m. What is the common denominator of 42*2\/(-648) - (0 + -1) and x?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 52*m**2 - 636*m - 42. What is d(-35)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k - 5*f, 2*k - 6 = 4*k + 4*f. Let d = 57 + -56.95. Let s = 0.65 + d. Which is the second biggest value? (a) s (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*f - 5*b, 17 - 9 = -b + 12 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 2*i = 17*s + 25 + 124, 2*i - 4 + 3 = 1 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 201657, 201658, 201659, 201660?\n\"Answer: m + 201656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*(1 - 1). Solve n*j - 5*j = -10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 2*u + 1. Let v be x(-1). Let p = 2.7 + -6.1. Let s = -0.6 + p. Sort -1\/7, s, v.\nAnswer: s, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-16) + 5\/4. Suppose 2*g + 2*u = 762, q*u - 4*u - 378 = -g. Suppose -10 = 5*i, 3*i - 629 = -5*o + g. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 47*x**2 - 6*x - 369. Give k(23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 25. Let y(p) = -8*p - 72. Give 14*g(q) + 4*y(q).\nAnswer: -4*q + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-nine quarters of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v = -2509 - 11 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(-4*q**2 - q**2 - 3*q**2) in the form m + x*q**2 + y*q and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.4769738?\nAnswer: -1.4769738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 5*j - 5. Let m(v) be the second derivative of -v**4\/4 + v**3\/3 + v**2 + 2*v. Let f = -38 - -41. Let q(k) = f*p(k) + 7*m(k). What is q(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 7582706.1.\nAnswer: -37913530.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*n + 2. Let l(v) = 16*v**2 + 0*v - v**3 - n*v**2 + 4 + v. What are the prime factors of l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 at least as big as 836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*o - 550 = 128*o - 70*o. Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2406*g**3 - 395?\nAnswer: -7218*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:06 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*v - 579*v + 119319 = 567*v for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3036009 millilitres to litres.\nAnswer: 0.0003036009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 5. Let p(x) = -x**2 - 3. Let j(v) = 5*p(v) - 3*q(v). Let c(n) be the third derivative of 7*n**5\/60 + n**2 - n. Give j(c(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5111*a**2. Let b(x) = -4*x**2. Give h(b(d)).\nAnswer: 81776*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.102 - -6.402. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t - 11. Let z be a(1). Which is bigger: z or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ggcggcgggggggcgggg?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -604426, 2\/9, -259?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3*m*x**2 - 2*l**3*m*x + 6*l**3*x**3 + 99*l**2*x**2 + 110*l - 519846*m*x**3 wrt x?\nAnswer: 36*l**3 - 3119076*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwaigvwg. What is prob of sequence gda?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)**(-9\/7)\/(r**(-1)*r*r*(r*((r*r\/(r\/r**6)*r*r)\/r)\/r)\/r*r))\/((r**(2\/3))**(-25\/3)\/((r\/r**(1\/6))\/r*r**(1\/5))) assuming r is positive.\nAnswer: r**(-2959\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -279, -304, -339, -384, -439, -504?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -9. What is the third smallest value in u, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + 1713\/2925. Let x = m + -4\/325. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485522, 485527, 485544, 485579, 485638?\nAnswer: 485727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 104268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0438*0.1\nAnswer: -0.00438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 62 (b) -4 (c) -2 (d) 5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -525 divided by 175\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 2, d: 1, x: 1, h: 2}. Give prob of sequence aah.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:30 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124619319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*l - 12*w + 425, -25*l = -24*l + 3*w - 43 - 119 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12244723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13111 divided by -13111?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/9977750 and -1\/2675?\nAnswer: 9977750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*v - 60, 0 = 4*f + f + 2*v - 61. What is the greatest common divisor of f and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-2 + 0) - (-4 - -2). Let i = 29 - f. Suppose 9 = i*q - 30*q. Solve -q*u - 10 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.4 (b) -93 (c) 1\/2 (d) 1\/42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334\/4728*(-12)\/297?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 + 305*n + 300 = 0.\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -423.1187 to one decimal place.\nAnswer: -423.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071 divided by 17.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 20\/7)*(-35)\/(-30). What is the second biggest value in -5\/2, -3\/7, p, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-16) + (-33 - -32) + (2565\/4)\/15?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -309*w. Let n(p) = 122 - p - 232 + 110. Give n(a(r)).\nAnswer: 309*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x - 4 + 10*x - 6*x. What is the tens digit of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - l - 0*l - 47943. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 1\/8*f**2 + 0 + 1\/8*f**3 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (3 + -11 + 3) - (82 - 87)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8192 divided by 64.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9 + 11*g**2 - 14*g**2 + 1. Let c(s) = -4*s**2 - 12. What is -5*c(n) + 7*x(n)?\nAnswer: -n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -27. Let a be (-4)\/(-5)*(-105)\/r. Calculate the remainder when (-132)\/8*8\/a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**2 + s**2 + 151*s**2.\nAnswer: 129*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v = -19*v + 802 - 577. Let l(b) = -6*b**2 + 3. Calculate l(v).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/107228 and 101\/131598.\nAnswer: 2895156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1704274 by -131098.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64407186 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:54 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 68\/5*m**2 + 168\/5*m - 1\/5*m**5 - 17\/5*m**4 + 0 - 38\/5*m**3 = 0. What is m?\nAnswer: -14, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f*f**(-4\/5))\/(f\/(f*f**(-2\/5)\/f))**(1\/4)*(f*f*f\/(f**(-1\/2)*f))**(5\/7)*f\/(f*f\/(f*f**3\/f*f*f)*f)*f*f\/((f*f\/(f**7*f)*f)\/f) assuming f is positive.\nAnswer: f**(2749\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20 + 18)*(2 - (-19)\/(-9)). What is d in -2\/9*d**3 + w + 2\/9*d - 2\/9*d**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1509*s**3 - 5*s**2 - 40*s - 125. Let b(c) = 1509*c**3 + 5*c**2 + 32*c + 125. Let u(g) = -5*b(g) - 4*w(g). Find the third derivative of u(y) wrt y.\nAnswer: -9054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 245147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 405*v - 4860. Let w be h(12). Solve -5*x - 2*n + 8 + 9 = w, 0 = 3*x - n - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 - -5 - (0 + 21 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*o + 419 - 3346 = -26423 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195780 and 195780?\nAnswer: 195780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 22. Let c be (((-80)\/l)\/4)\/((-4)\/(-6)). Find the second derivative of 3*z - c*z - z - z + 17*z**3 wrt z.\nAnswer: 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 19. Let m(r) = -2*r - 1 - 1 + 3*r. Let s be m(c). Let y(q) = 2*q - 3. Calculate y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204 + 270 + (-973)\/14)\/(0 + 2\/60).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1791449127 to the nearest integer?\nAnswer: 42326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbj when three letters picked without replacement from jjyjjjqbblbllbqb.\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let h = 24 + -22. What is the closest to 1 in w, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015645831 rounded to 7 dps?\nAnswer: 0.0001565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -39, 5, 2, -5 in descending order.\nAnswer: 5, 2, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 0*g**2 + 15*g**2 + 2*g**2 + 5*g**2 - 25*g**2. Let m(h) = 15*h**2 - 20*h - 20. Let j(b) = b**2 - b - 1. Let p(w) = -20*j(w) + m(w). Give p(x(r)).\nAnswer: -45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/246? (a) -1\/5 (b) 5 (c) 1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by 6\nAnswer: 88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 205*s**3 - 1240*s**2 + 60*s = 0?\nAnswer: 0, 2\/41, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1955 divide 17155125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -63649 greater than -63644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 163 + 158 + 56 = 0. What is the greatest common factor of g and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)*v)\/((v*(v\/(v*v**(-7)*v))\/v)\/v*v*v))**(-9\/4) assuming v is positive.\nAnswer: v**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/15620497 and -3\/8.\nAnswer: 124963976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141)\/9 - 423750\/(-10170)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405169 plus 3?\nAnswer: -405166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 13*j + 66. Let v be c(-16). Suppose -3*t + 84 = 3*g, t + 4*g = 4 + v. What is the highest common divisor of t and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6858869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 461931 and 145314552?\nAnswer: 14901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -14*z + 57. Let g be 2\/(-13) - 1888\/(-104). Suppose z*i - g = -6. Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 61*k - 369. Suppose 2*g - 36 = -5*o, -16*g = o - 13*g - 15. Determine d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -203 + 259 - (-10 - -14).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 166012*z\/3 - 17969120.\nAnswer: -2*(z - 82680)*(z - 326)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 1)**2 + -1 + -2.\nAnswer: 16*sqrt(19) + 1214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 613385 * -1\nAnswer: -613385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k - 29*k + 165*k - 36*k - 33*k - 31*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51\/(-1 + 3 - 1). Suppose 3*o = 5*y + o - w, 3*o = -4*y + 50. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Suppose 0*r + d*r + 20 = 0. Let l = 0 - r. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670707679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -241314412?\nAnswer: 241314402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368535 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/((-1)\/(-4)))\/2. Suppose -r = -g - 17, -55 = -5*r + v*r + g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, 2, -15 in increasing order.\nAnswer: -15, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-6) - 4)\/((-6)\/(-20718)). Suppose -9*n = 158 - f. List the prime factors of n.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17282, -34571, -51860, -69149?\nAnswer: -86438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*v - 469*v + 15114474 = -17144709. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 34*a - 156. Let w be p(-6). Suppose -3*d + 3*b + 9 = -2*d, 5*d = -4*b - w. Solve -3*y - 8 - 4 = -f, 5*f = d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5115.9 * -226.\nAnswer: -1156193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 244*l**2 + 30750*l - 3751992.\nAnswer: -2*(l - 123)**2*(l + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3\/7 - 42068*b**2\/7 - 336736*b\/7 - 673600\/7 = 0.\nAnswer: -4, 10525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 2 + 1 + sqrt(720).\nAnswer: 3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34\/3 + -547\/48. Suppose -2*r = 2 - 4. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*l**3*y*z + l**3 - 2*l**2*y**2 + 6*l*y**2 + 2*l*z + 3*y**2*z wrt z?\nAnswer: -8*l**3*y + 2*l + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a hour in minutes?\nAnswer: 1065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = a - 4*b - 13, -205 = 5*a + 5*b. Let d = a - -65. Solve 6*l + 3*h - 1 = 2*l, 3*h = 2*l - d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*(-18)\/(-45). Sort -5, l, 3 in ascending order.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*o**2 - 97*o**2 + 0 + 0)*(-448 - 885 + 303) to the form p + r*o**2 + l*o and give r.\nAnswer: 110210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3*n**4 + 114*d**3 + 5*n**4 + 16*n**2 wrt n?\nAnswer: 4*d**3*n**3 + 20*n**3 + 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 17*w**2 - 18*w + 4. Let v be a(18). Suppose v*t - 4*f - 348 = 0, -253 = -3*t + 3*f + 2*f. What are the prime factors of t?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 5. Let k be m(4). Suppose 4*q + x = 52, -q + 5*x + k = -13. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*a - 60, 0 = 2*a - 2*a + 3*a - 36. Let h = 238\/45 - 44\/9. Find z such that z**2 + h*z + m = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1449\/3403?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 24*g - 135. Suppose -6*d = 4*z + 30, -4*z - 54*d = -52*d + 34. What is j(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22520 - -23962. Is 103 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(0 + 0 + 0 + -1). What is the first derivative of -g*l**3 - 9*l**4 + 31*l**3 - 11 - 13*l**3 wrt l?\nAnswer: -36*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 438796 by -1346.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 1. Let z(p) = -p**3 + 5*p**2 - 5*p + 3. Let g be z(3). Let h(s) = s - 11. Let w(q) = g*v(q) + h(q). What is the derivative of w(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/1*1\/(-1). Suppose -5*x = -5*o - 10, x + j = o - 2*x. Let q = -682 - -684. What is the second smallest value in q, -13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 352. Let h = -53 + -4. Let f = -35 - h. Calculate the greatest common divisor of f and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from grggggggjgig.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Suppose 5 = -k - 4*m, -2*k + 2*m = -13 + 3. Let v(a) = 4*a - 3 - 8*a + k. Determine v(s(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128.875 - -1516.463. Let k = x + 0.662. Let i = k - 1730.9. Round i to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 - -643. Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 7}. Give prob of picking 2 y.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 22104.\nAnswer: 353664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 11*f - 186. Calculate the remainder when 34 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -5, 0.1, 0.19, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*h = 41, 25 = -0*h + 5*h. Suppose i - 2 = -2*y, -3*y = 4*i - 22 + t. Let n = 73 - i. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 4*p**2 + p**5 - 2*p**5 + 5*p**2 + 4*p**5 - 5*p**2 + (-3*p - p + 2*p)*(-2*p**4 + 4*p**4 + 0*p**4) - p**2 + p**2 + 5*p**5.\nAnswer: 4*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -58) + 13 + -1 + -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4138665 micrograms to grams.\nAnswer: 0.0000004138665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*6*((-2*sqrt(252) + sqrt(252) + sqrt(252))**2*6 - (-3 + sqrt(700))**2*4).\nAnswer: -8640*sqrt(7) + 102096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Let j = 559 - 557. Suppose -5*s + 0*u + 195 = u, 0 = -j*s + q*u + 61. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 8. Let x be v(-10). Suppose 0 = -5*r + 4*b, x*r - 2*b = -b + 3. Suppose 3*j - 4*i + 166 = r*j, 2*j - 371 = 5*i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*a + 394369*a**3 - 197183*a**3 - 197185*a**3.\nAnswer: a**3 + 325*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3615 - 1837 + 145*m - 1778.\nAnswer: 145*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k*v**2*x**2 + 2*k*v**2*x + 2*k*v*x - k*x**2 + 46*v**2*x**2 - 2*v + 3*x**2 wrt v.\nAnswer: 18*k*x**2 + 4*k*x + 92*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 5*n)*(-11*n + 3*n + 6*n)*(-1 + 5 - 3)*(2 - 2 + 2)*(11*n**2 - 6*n**2 + 5*n**2).\nAnswer: -120*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -80*n**4 - 4*n**3 + 324*n**2 + 16*n - 16 = 0.\nAnswer: -2, -1\/4, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**4 + 95*b**3 - 660*b**2 + 1980*b - 2160 = 0.\nAnswer: 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 15 = 4*h. Let m = -0.2844 + -0.1156. Sort m, 0.2, h, 4.\nAnswer: m, 0.2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 684*r - 398*r + 2 - 339*r. Let c(m) = 47*m**2 + 1. Give c(i(b)).\nAnswer: 132023*b**2 - 9964*b + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 264 (base 10) to base 2\nAnswer: 100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = -c, -3*v + c - 10 = -v. Let l = v - -4. What is the second derivative of l*j - 4*j + 3*j + j**2 - 3*j**2 wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:22 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 70 = 11*r + 5*d, -5*r + 66 = -4*d. Let v be 1\/r - 9153\/(-270). Solve -14 = 5*j - v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(3 + 1 - 6)*(3*s - 3*s + 2*s) + (4 - 4 - 2*s)*(-2 - 3 + 6).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(-4*24\/(-320)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/12 - 2\/8. Solve 3*t - 2*t - 5*y - 15 = 0, d = y + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:00 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 4. Let o be g(2). Let v(t) = 2 - o - 3*t**2 + 4*t**2. Let u(i) = 2*i. Give v(u(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 4*u**2 + 3*u - 6. Let f be b(-5). Suppose k - 4*d = 35, -4*k + 15 + 65 = f*d. What is the remainder when 112 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7160292*b - 34125005 with respect to b.\nAnswer: -7160292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54047091 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 55. Let m be (-2)\/(-4)*8\/1. Suppose 4*w + m*x = 264, 3*w + c*x - 5*x = 174. Round w to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3\/3 + 192*k**2 - 580*k\/3 = 0. Calculate k.\nAnswer: -145, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 160 + -169 + (-269161)\/(-29922) and 28\/3.\nAnswer: 29922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-322))\/(3\/(-6)). Let p(i) = -i**3 - i**2 + i - 6. Let a be p(0). Is h greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1359, -5267, -11767, -20859, -32543, -46819, -63687?\nAnswer: -83147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/24 - -1) + -2. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 0*q + 0*q)*((0 + 0 - 2*q)*(-3 + 2 - 1) - 2*q + 2*q + q)*(-3741*q + 1109*q + 1555*q).\nAnswer: 16155*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 + 109577*h**2\/3 + 790934*h + 511056 = 0 for h.\nAnswer: -36504, -21, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 - 26 - 20 - -9. Let c(h) = h**2 + 22*h - 46. Determine c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.34, 3, 1, 3\/8, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.28 - 0.62. Let z = 1.1 - h. Is z less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**3*w**3 - 3771*l**3*y**2 - 2*l**2*w**2*y**2 - 22*l*w*y**2 - 7*w**3 wrt l.\nAnswer: 30*w**3 - 22626*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11 - 109 = 0. Let j = -7 - h. What is the greatest common divisor of 28 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032310 - -3213?\nAnswer: 2102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2091465 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**2 - 4*t + 10. Let x be l(5). Let b be ((-6)\/8)\/(((-44)\/x)\/11). What is the greatest common divisor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-106)\/(-2))\/(102\/(-102)*5\/15*-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2284, -2351, -2508, -2791, -3236, -3879, -4756, -5903?\n\"Answer: -6*f**3 - 9*f**2 + 2*f - 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 3*i + 8. Let h be z(-4). Suppose 2*p = 3*p - h. What is the derivative of -9*q + 5 - 27 + p*q wrt q?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3110, 3116, 3136, 3164, 3194?\nAnswer: 3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:49 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -1157?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27052.06 kilometers to millimeters.\nAnswer: 27052060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8934466.6*-0.4.\nAnswer: 3573786.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/(-11) - (186 + -55 + -67).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283805 and 9145?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5*r - 3. Let v be u(-6). Let d(n) = 6*n - v*n**2 - 6*n. Let t(h) = -5*h - 9*h + 15*h. What is d(t(o))?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2225\/3*b**3 - 8540*b**2 + 85583\/3*b + 226981\/6 - 125\/6*b**4 = 0.\nAnswer: -1, 61\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-2 - -4) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = 7. Suppose 2*b - 15 = 3*p, 5*p + 5*b - 6 = 8*p. Let q be (p\/14)\/(s\/(-8)). Solve 4*k - 2*a = -8, 2*k - 3*k + 2*a = -q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*r - 102 = 0, 4*r = m - 182 + 45. Let g = m - 38. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 + 18*l - 76 + 2 - 2 + 2*l + 2*l - 2*l - l + 2*l + 1 - 1 + (0 + 0 + 2)*(-4*l + 4*l - 2*l) as t*l + b and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*f**5 + 70*f**2 - 70*f**2 + (-4*f - 11*f + 9*f)*(3*f**4 - 3*f**4 + 2*f**4).\nAnswer: -103*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:01 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -451 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 116, 175?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -115, -176, -239?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 15. Let a(m) = -m - 46 + 6 + 29 + 3*m + 4. Give 5*a(q) - 2*w(q).\nAnswer: 2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 - 4*u)*(-4*u**2 + 4*u**2 + 2*u**3) as i + w*u**2 + p*u**4 + j*u + h*u**3 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1469967.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 + 2*h - 2. Let t(k) = -k + 8. Let y be t(6). Let q(x) = 10 - 3*x - 6*x - 16*x**y - x. Calculate -11*p(r) - 2*q(r).\nAnswer: -r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/764138 and 21\/10.\nAnswer: 3820690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1. Let h(z) = 11*z - 1. Suppose 0 = -4*g + 3*i - 9 - 4, 0 = -3*g - 4*i + 9. Determine g*h(a) - c(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0 (c) -1\/4 (d) -3\/14 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12424817 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5788 and -3\/15917.\nAnswer: 63668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -507821*t**5 + 521085*t**2.\nAnswer: -30469260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 27066083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/32402675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:43 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 575*g + 6873. Calculate x(12).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/242 and ((-2)\/(-88))\/((-5)\/(-1010)).\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26007 is divided by 518.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651, -1227, -1797, -2367, -2943, -3531, -4137, -4767?\nAnswer: -5427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179330 not equal to 179331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 4*r**3\/3 + 7*r**2\/2 + 2*r + 26. Let c be q(-2). Suppose 3*g + 8 = 23. Solve 5*f - g*n = -40, c*f - 6 + 41 = 5*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*d**2 - 284*d - 70574.\nAnswer: -2*(d + 497)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let r be t(-9). Suppose 9*q - r = 17. Suppose 2*x + 5*z - 14 = 0, -q*z - z + 8 = 0. Solve -3*w - 45 = x*w - 5*u, -19 = w - 3*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Let c(r) = r**3 - 7*r**2 - 743*r + 19. Let q be c(-24). Sort 4, g, -3, q in ascending order.\nAnswer: q, -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (-8 + 22 + (11 - 12))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -20. What is the least common multiple of x and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, z: 2, t: 1}. Give prob of sequence tttm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.9. Suppose 8*w = 10*w - 4. Which is greater: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28049, -1, 9, -4, 0 in descending order.\nAnswer: 28049, 9, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -19 - 13. What is the remainder when 95 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*i + 2, 0 = -16141*y + 16143*y + 2*i - 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -14\/438639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200050 + -139623. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, -2\/7, -2 in decreasing order.\nAnswer: 2\/3, 0.1, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*(9 - 6) - -132. Let u = 1910 - t. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-70)\/(-15)) + (-65)\/15 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1584 - 26*y**2 - 24*y**2 - 2*y**3 - 27*y**2 + 76*y**2 + 424 as r*y**2 + d*y**3 + c + g*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f*((f**(-21)*f)\/f)\/f*f)\/f)\/f)**(-2\/79)*((f\/(f**26\/f))\/f*f)\/(f\/((f*f**(-4\/7))\/f)) assuming f is positive.\nAnswer: f**(-13861\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 75 = -s, 0*v - 2*v = 3*s - 140. What is the lowest common multiple of s and 165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -9\/7, -8, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11032561402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4577404 and 2470?\nAnswer: 22887020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 9*g + 10. Let f be -5 - (-1 + -2)*-1. Let m be d(f). Suppose b = 5*b + m*s - 322, 5*s = 4*b - 343. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.51 * -0.3.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 65. Let y be (-2)\/(-8)*(14 + (b - 0)). Let o be -4*y*(-1)\/12. Which is smaller: o or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6 + 6*o + 0 as b + p*o and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstyttztpttytv. Give prob of picking 2 y and 2 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-4 - (-25 - -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 23 = 2*z, 5*z = -0*c - c - 14. Suppose -c = -4*x - 35. What is the units digit of x\/(-3) - -2 - -34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 11 = 2*w + 2*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*k + 10 + 69*k + 7*k**4 - 7 + 4*k**3 in the form b + p*k**3 + q*k + f*k**2 + w*k**4 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(95)*6 - 6*sqrt(95)*-2)\/((sqrt(270)\/(1*sqrt(9)))\/(sqrt(42)\/(sqrt(112) - sqrt(7))))*-5.\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*j - 16 = 4*k, 0 = 2*k - 2*j - 8. Suppose 5*v - 2*b = -25, 3*v - 5*b + 6 + 28 = k. Let l = 5 + v. Sort 0.2, l, -4 in decreasing order.\nAnswer: l, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22258978 and -0.2.\nAnswer: 22258977.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/6)\/(8\/36). Solve -13 = -q + 3*g, f = -5*q - 3*g - g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1319\nAnswer: -2\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3 - 7*v**2 + 6*v**2 + 2 + v. Let i be g(4). Is 4\/(-14) - 324\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -11, 5, 216 in increasing order.\nAnswer: -43, -11, 5, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4011, 4019, 4043, 4089, 4163, 4271, 4419?\n\"Answer: b**3 + 2*b**2 - 5*b + 4013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 205801*m - 205870*m = -577, -26 = 2*c - 2*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -20 + (-7 - (17 + -13 + 1 + -5))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16317508 to three dps.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1710 - -1705. Which is the smallest value? (a) -0.3 (b) -2 (c) s (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 244562, 244561, 244560, 244559, 244558?\n\"Answer: -q + 244563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17282*m - 17302*m + 2420. Suppose -2*l + 4*k = -5*l + 58, -30 = -l + 4*k. What is the highest common factor of l and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1035721\/2165 + -2392\/5. Let i(o) = -29*o**2 + 807*o + 139. Let b be i(28). Is b <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3938 or 3939?\nAnswer: 3939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2907 - 896. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37875 divided by -194.\nAnswer: -37875\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-4)\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o**2 - 2*o)*(3*o - 3*o - 2*o) + 118*o + 4*o**2 - 118*o - 9*o**3.\nAnswer: -3*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -19. Suppose 0 = v - 7 + 6. Suppose l = j - 20 + v. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let b(a) = -689*a**2. Determine y(b(u)).\nAnswer: -949442*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9614 and 1748?\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (446 - 453) + -19 + 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*k - 753 = -281*k + 281. Solve 9 = -3*v + k*z, 5*z = 9*v - 5*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 6:29 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:29 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/28)\/(1\/(7 - 0)). Suppose -3*t = -5*t + o. Calculate the highest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108073.2 - -99614. Round x to the nearest 10.\nAnswer: -8460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9))\/((-42)\/(-189))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**3\/6 - 2*n. Let s(k) = -3*k**2. Give f(s(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, -0.6, -87 in descending order.\nAnswer: 4, 0.2, -0.6, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*f = 4*f - 0*f - f - 12, -2*f = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33202957.\nAnswer: 33202957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 858 + -85799\/100. Let v(o) be the third derivative of 0 + 0*o**3 + y*o**6 - o**2 - 1\/525*o**7 - 1\/50*o**5 + 1\/60*o**4 + 0*o. Solve v(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 168? (a) -3 (b) -5 (c) -6 (d) 4 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3 + 14405*c*p**2 - 51269*p**2 + 2 wrt c.\nAnswer: -12*c**2 + 14405*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10332 and 2956428.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:51 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -453 - -444. Let f = 1\/39 - 9\/13. Sort 1\/7, f, k, 0.3 in descending order.\nAnswer: 0.3, 1\/7, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*t + 2)*(2*t**2 + 202 - 186 + t + 3*t**2).\nAnswer: -20*t**3 - 4*t**2 - 64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, l: 2, s: 2, z: 2}. Give prob of sequence slzz.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/720 - k**4\/2 + 8*k**2. Let p(t) be the second derivative of j(t). Let n(y) = 16*y**2. Determine n(p(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 261*s - 252. Calculate k(86).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -1 - 99\/(-11). Suppose 0 = -3*d + 5*o + 4978, -o = -0*d + u*d - 8250. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5880 and 244756680?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p**3 - 4*p**2 + 4*p - 18. Let o(v) = -10*v**3 + 5*v**2 - 5*v + 18. Let f(r) = 4*o(r) + 5*w(r). Differentiate f(q) wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 9, 2\/5, 5, 18?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/12*(17 - 357\/17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 24073210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*b = -1, 0 = v - 5*v - 3*b + 4. Let t be (2 - 1) + 0 - (v - 26). Which is bigger: t or 25?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:00 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovttnbz. Give prob of sequence vn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, -11, -52, -129, -254, -439, -696?\n\"Answer: -2*k**3 - 3*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/186*3831\/(-2554)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000056761 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 20, 5, -5, -4, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p + 5*y - 659 = 0, 5*y + 352 = p. Suppose 3*x + 8 = -x, -5*j - 4*x = -p. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*17\/(-170).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 u when four letters picked without replacement from ujjyuuyusuuuuujjuuu.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1027314*g - 1027313*g = -12, h - 15*g = 138 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 509*w + 509*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/7)*z**(-5)*((z*z*(z*z*(z\/(z**(-1)\/z))\/z)\/z)\/z)**(5\/3) assuming z is positive.\nAnswer: z**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Suppose 5*w = 6*w + 3. Let h be (w\/m)\/((-1)\/2). Which is the closest to 1? (a) 6 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246610\/3913 + -63 + (-1298)\/344?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15833872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 39 = p - 6*p, 4*p + 5*i = -26 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 - 4*q**2 + 2*q**2)*(q**2 + 1 - 1) + 2057*q**4 - 104469*q**3 + 104469*q**3 to x + r*q**3 + n*q + s*q**4 + v*q**2 and give s.\nAnswer: 2055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(-192)*10\/(-55)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 8*o - 54. Let n be m(4). What is the tens digit of 4586\/n - 42\/(-105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77.2 + 76. Let w = k - -48.2. Let s = w + -49. Which is the biggest value? (a) -3\/5 (b) 0.3 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -942 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 182 = -3*m - 2940, 3*q - 9336 = 4*m. Is 53 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -15*h**3 - 16*h**5 + 42*h**4 - 6*h**4 + 6*h**2 + h**5 - 12*h**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23999, -38837, -53675, -68513?\n\"Answer: -14838*b - 9161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from owwowoegeogog.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -3544217.\nAnswer: 9\/3544217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 803011\/13524 - 2921\/49. Calculate the common denominator of m and 7\/506.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3642 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 336487398 a multiple of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 2.968?\nAnswer: 3.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 102 = -2350*q + 2287*q, -d = 5*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/140 - (-1)\/(-2*(-5)\/(-25))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 405 - 127?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 + (0 + 2)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1789848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -580 + 899. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 = 3*p, 6*p - 4*p + 6 = 0. Solve x = 2*x + o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 26. Suppose 4*j - 17 = -5*p + 101, 0 = 5*j + p - 137. What is the remainder when j is divided by v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((n + 2*n - 5*n)*(-4 + 3 + 3) + (5 - 14 - 3)*(-4*n + n + 5*n))*(12 + 15 - 5)*(8 - 3 + 4) in the form b*n + i and give b.\nAnswer: -5544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(0 + (1 + -6*sqrt(39)\/sqrt(3))**2 + (sqrt(143)\/(sqrt(22)\/sqrt(2)*-3))**2).\nAnswer: -16927\/9 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*m**3*r**2 + 2713*m**2*r**2 - 301*r**2 + 6*r - 8 wrt m?\nAnswer: 351*m**2*r**2 + 5426*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 137445*q + 233452 wrt q.\nAnswer: 137445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-57330)*-21*((-9)\/(-2))\/9?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500) + sqrt(3500)*1 + sqrt(1260)*-1)\/((sqrt(7)*1 - sqrt(7))*-3 + sqrt(21)\/sqrt(3)*4).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1846 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2738 + 2740. Which is the biggest value? (a) 6\/13 (b) 3\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/3 - -18. Let t = -25939 + 25941. Which is the second biggest value? (a) -0.07 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 562 - -69. What are the prime factors of y?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4259 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47200 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and (4 + 16\/(-6))\/(3\/(270\/4))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 0.3, -14, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110997 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0655916ml?\nAnswer: 0.0000655916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 4 + 4 = 0. Solve -n + 3*g = d, 4*g - 8 = 5*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88595 is divided by 321?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/53872)\/(156\/(-5772))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:24 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 + 2 + 26972*t**3 + 2*t - 2*t**2 - 26968*t**3. Let p be 24\/(-5 - -2) + 1. Let y(r) = 13*r**3 + 7*r**2 + 7*r + 7. Give p*v(n) + 2*y(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(((k**(-1\/8)*k)\/k)\/k))*k)\/k)**(-3\/20))**(-5)\/((((k\/(k\/(k**7*k)))\/k)\/k)\/(k**(-7)\/k))**(-5) assuming k is positive.\nAnswer: k**(2213\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-7)*84\/(-48). Factor -162\/5*l - 12\/5*l**4 + 0 + 0*l**3 + 108\/5*l**a + 2\/5*l**5.\nAnswer: 2*l*(l - 3)**3*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 50083751?\nAnswer: -50083755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**3\/6 - b**2\/2 + 38*b. Let d(p) = -7*p + 22. Let o(c) = d(c) + 3*i(c). What is the derivative of o(n) wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71638 divided by -2107\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607, -609, -611, -613, -615, -617?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -255, -866, -2055, -4014, -6935, -11010?\nAnswer: -16431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-r + r - r) + (3*r - 3 + 3)*(-5 + 0 + 2).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2147 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50736960 divided by -632?\nAnswer: -80280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6184 or -6185?\nAnswer: -6184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:59 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 w, and 1 j when three letters picked without replacement from {j: 3, u: 1, y: 5, g: 2, q: 1, w: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173c8c (base 14) in base 9?\nAnswer: 1475281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/18)\/(-4) + (-4832)\/(-288))\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 106*y + 123*y - 69*y - 4*y**2 + 0*y**2 = 0. Calculate y.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.05 + 0.55. Let b = -2\/99 - 164\/1683. What is the biggest value in b, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.8. Let w = -0.22 - j. Let a = w - -2.92. What is the second biggest value in a, 1\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5019, 5017, 5019, 5025, 5035, 5049?\n\"Answer: 2*j**2 - 8*j + 5025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-99360)\/70)\/(-12) + 2\/(-7). Let i(a) = -5*a - 2. Let y be i(3). List the prime factors of y\/(-51)*(s - 1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/4)\/s**(-7)*s**(1\/5)*s**(-2\/3)*(s**(-4\/5)\/((s\/(s\/(s**(1\/6)\/s)))\/s))\/((s\/(s\/s**2)*s*s)\/s)**(-15\/7) assuming s is positive.\nAnswer: s**(5773\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 297\/(-33)*(4 + (-2169)\/540)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80562*y**5 - 334*y**4 + 135348098*y**2 wrt y.\nAnswer: -4833720*y**2 - 8016*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76100607.\nAnswer: 3, 11, 89, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066096344 to 6 dps.\nAnswer: 0.00661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w. Let m be (w - 2)\/(2\/(-6)). Solve m*f**3 - 10*f**3 + 2*f**3 - 2*f**3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*s - 1033 = 968 - 697 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*q**2 - 479300*q + 8309600 = 0.\nAnswer: 680\/39, 3055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 18*z + 10580. List the prime factors of z.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*f**5 - 34*f**5 + 0*f**3 + 5*f**3 + (4 - f - 4)*(4*f**4 + 9*f**4 - 8*f**4))*(-2 + 0 + 1).\nAnswer: 6*f**5 - 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.05617.\nAnswer: 0.05617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 - 19*r - 92. Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**6 - 35*r**5 - 128*r**2 - 2*r?\nAnswer: -240*r**3 - 2100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 3940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-12)*-1*1)\/(-2). Let n(q) be the third derivative of -q**2 - g*q**4 - 2\/3*q**3 + 0*q - 1\/60*q**5 + 0. Calculate n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*s + 12. Suppose -3*q + 102 = -q - 2*n, s*q - 253 = 3*n. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 13. Let o(q) = -10*q**2. What is p(o(y))?\nAnswer: -40*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 1 + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3))**6)**(-20) assuming a is positive.\nAnswer: a**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6751 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmcc when four letters picked without replacement from {c: 7, m: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.17 + -0.17. Put 2, -4, w in decreasing order.\nAnswer: w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -3*z + 122. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) + 8\/6. Let a(x) = -x**3 + 2*x**2 - x. Let d be a(z). Is -3\/17 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - 1. Suppose 3*z = -5*n + 501 + 464, n - 1264 = -4*z. Let u(r) = 8*r**3 - 315*r + 1 + z*r. Calculate u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:10 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-30) + 4099996\/10. What is h rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + -12453?\nAnswer: -12471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/65 + (-126)\/(-26). Let h = l + -13. Let j = h + 57. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k**2 + 2*k - 11. Suppose -5*u + 34 = -6. Let b(p) = 7*p**2 + p - 7. Give u*b(d) - 5*t(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13476.792 nanoseconds?\nAnswer: 0.0000002246132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - -327223?\nAnswer: 327204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(-9) + (-6)\/(-27). Let a be (6\/(-2) + -1)*(-12)\/6. Solve 0*b - r*b + a = -4*u, u - 4*b = 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/6 + 15*q**2 + 82*q - 2. Let f = -7 + 10. Calculate the lowest common multiple of f and m(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -2*f, -q + 0*f + 4*f + 2 = 0. Let t(y) = 104*y + 14. Let c be t(q). Which is smaller: 223 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((72 + -73 - 31\/(-1)) + 9 + -21)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3\/7 - 555*q**2\/7 - 27123*q\/7 + 27675\/7 = 0.\nAnswer: -41, 1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -214, 0, 0.4 in decreasing order.\nAnswer: 4, 0.4, 0, -8, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 11939, 0, 5, 1, -1 in descending order.\nAnswer: 11939, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -38 + 36 - 180\/(-89). Let g(n) = -n**2 + 2*n + 3. Let p be g(5). Let y = p - -11. Is b at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3776953590.815 and 3?\nAnswer: 3776953587.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12260 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -28989038\/15 at most -1932603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 5*n + 3*n - 4. Suppose 5*r = -5*w + 10, -2*w + 6*r - 2*r = -22. What is h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58882.52 milligrams to nanograms.\nAnswer: 58882520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3073 or -3076?\nAnswer: -3076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 4*t + 6*t - 4*t. Let u(q) = 12 - 2 + 9*q**2 - 10. What is z(u(j))?\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (143\/13)\/((-2)\/(-2)). Solve -9 = -r*v + 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -126. Let i = 140 - 95. What is the smallest common multiple of i and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -290\/4067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*3)\/sqrt(9) + 1 + sqrt(5) + 5 + (sqrt(150)\/sqrt(3))\/sqrt(10).\nAnswer: 6 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 108199?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + (-2 - -66 - (27 + (28 - 46)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -2*k + 5*k + 3*d, -3*d - 122 = -5*k. Suppose -3*u + k = 1. Calculate the highest common divisor of 88 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1035.09 - -1030. Let g = -0.09 - d. Let r = 34.6 + -35. Sort g, 2, r in descending order.\nAnswer: g, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pddtp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k - 26*k - 3*k + 53*k - k - k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.9300428 milliseconds in weeks?\nAnswer: 0.000000107357875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.9 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035280942 to 7 dps.\nAnswer: -0.0003528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 8*u**2 - 10*u + 3. Let m = 25 - 16. What is y(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - 0 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357228909?\nAnswer: 3, 39692101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -v - z, -4*v + z + z = 0. Let s = v + 0. Let u = 8 - 5. Solve 4*l = -2*g + s, g - u*g = -l - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -5 (c) 11 (d) -0.14 (e) -15 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 10020142?\nAnswer: 10020232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggqqqqqggg. Give prob of sequence qqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m - 0. Let x be ((-3)\/2)\/(m\/4). Is (372\/x)\/((-2)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, m: 2, x: 2, e: 3, h: 6}. Give prob of picking 2 m and 1 h.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 83*q + 749. What are the prime factors of j(0)?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, x: 1, w: 3, y: 3}. What is prob of sequence wy?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 3*p**2 - p - 2. Give b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 3:10 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199 - -210.7. Let t = -42.3 - y. Let u = -46 - t. Which is the third biggest value? (a) 0.2 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + (7 - (14 - (6 - -19)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1250))\/sqrt(10).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -3 (c) -284 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/357)\/(-5*3\/(-420)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1134510 (base 9) to base 6\nAnswer: 21052143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 502106, 1004227, 1506352, 2008481?\n\"Answer: 2*b**2 + 502115*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16363.659 nanoseconds to minutes.\nAnswer: 0.00000027272765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/35132 and 1\/808036.\nAnswer: 808036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 12) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 372 - 359. Calculate the highest common factor of d and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpjpffbpffbafjjbb. Give prob of picking 1 j, 1 p, 1 b, and 1 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**6\/2 + 21*r**5\/5 - 57*r**4\/4 + 25*r**3 - 24*r**2 + 12*r - 328. Find j such that g(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103122332 (base 4) to base 11.\nAnswer: 2137a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11715*o + 10742*o - 33189*o + 10739*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825913?\nAnswer: 37, 61, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*x - 302, 5*x - 46 - 236 = -2*f. Suppose 116 = -4*b - j, 81*j - x = 2*b + 76*j. Calculate the common denominator of b and -22\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149518 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*i + 5*s, i + 2*s = 1. What is the units digit of (-3)\/15 + (-36)\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = -8. Suppose 5*t - t + 13 = -3*m, -d*m = -2*t - 13. What is the closest to m in 4, -0.2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56827 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 2.8 (c) 3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 3c?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 753*n**4 + 514*n**2 wrt n.\nAnswer: 18072*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + 12, 0 = 5*l + 5*t - 15. Suppose l = -g - 2 - 6. Is g*(-3 + 4 - 3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:39 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 8) to base 3.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 21*s**2 + 34*s + 272. What is v(23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -34. Let v(a) = -a**2 + 15*a - 11. Let p be v(z). Let f(h) = -2*h - 2. Let m(g) = 2*g + 1. Give p*m(k) + 2*f(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34471824787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1866724864 or 1866724863?\nAnswer: 1866724864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 1:34 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 55 = 3*q + 5*n, q = -3*n + 25. Suppose -39 = 3*s - 3*p, -4*s - p = s + 71. Let w = -10 - s. Calculate the highest common divisor of w and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tit when three letters picked without replacement from {i: 9, t: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:00 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seeessssssssssssss. Give prob of picking 2 s.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07301*-0.2.\nAnswer: 0.014602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/8 - 15*s**4\/4 + 183*s**3\/8 + 67*s**2\/2 - 105*s\/2 = 0. Calculate s.\nAnswer: -35, -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/6)\/(45\/(855\/38))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968 equal to 365.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/18 and -1\/1392597.\nAnswer: 2785194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = 79 + 40 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*j**2 - 4)*(0*j + 4*j - j) + (5*j**2 - 5*j**2 + j**2)*(-4*j + 2*j + j).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 257021117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*b**3*o**3*u - 4*b**3*o**2*u - 2*b*o**3*u + 27*b*o**2*u - b*u wrt b?\nAnswer: 168*b*o**3*u - 24*b*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.8 - 32. Let w = 0.8 + -0.3. What is the third biggest value in d, 0.2, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4))\/l)**(-35)*l**(-31)*l*l*l**(-18) assuming l is positive.\nAnswer: l**(-187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14373, 28748, 43123, 57498?\nAnswer: 71873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2 + 26. Let o = 12 + p. Suppose -105 = o*h - 10*h. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let w(t) = t + 9*t - 4*t**j + 3*t**2 - 15 + 5*t. Let k be w(14). Do -1\/32 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9138, -9070, -8988, -8886, -8758, -8598, -8400, -8158?\n\"Answer: l**3 + l**2 + 58*l - 9198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328408 + 328408 + 8*x**3 - 19*x.\nAnswer: 8*x**3 - 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.42058 and -0.15.\nAnswer: 0.27058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose -s = -0*s - 2, 2*s = -i*z + 12. Let k(a) = -4 + z*a + 0 - a**2 - 1 - 9*a. Calculate k(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -99, -203, -343?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3894 and 18408?\nAnswer: 202488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 + 68. Calculate the highest common factor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence giii when four letters picked without replacement from iiiiiigiiiiiiiiiiii?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 5, p: 13}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7740, 7739, 7738?\nAnswer: 7737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.091531 + 22936.\nAnswer: 22936.091531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.8384 to one dp.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1) + 20\/(-2 + 6). Let g(c) = -3*c + 1. Let d be g(l). Let m(z) = 5*z**2 + 4*z - 2. Let y(w) = 5*w**2 + 5*w - 3. Determine d*m(b) + 4*y(b).\nAnswer: -5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -81206 (base 11) to base 6\nAnswer: -2313323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**3 - 2*u**2 - 11*u + 438. Give c(0).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bffv when four letters picked without replacement from ffffvfvfvbbffff.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91aa + -3?\nAnswer: 91a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -9. Let z = -19.0021 + m. What is z rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222840 by 317.\nAnswer: -222840\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikm when three letters picked without replacement from {c: 2, i: 1, k: 6, x: 5, m: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjemmhpb. Give prob of sequence mbje.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101 and 79689?\nAnswer: 79689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + 67 + 9 + 8*v - 8 - v as t*v + z and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**4 - 2*k**4 + k**4)*(3 + 1 - 1 + (-2 + 9 - 1)*(8 + 4 - 4)) to the form v*k + j*k**4 + i*k**2 + x*k**3 + g and give j.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9066828, -9066845, -9066862?\nAnswer: -9066879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 7.9. Let x = u - -0.86. Let g = 0.2400026 + x. Round g to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 8272?\nAnswer: 41360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2 + 0 = 0, 15 = 5*u + 5*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -104 - 94. Suppose 0*g + 110 = 5*g - i, -j = -3*g + 3*i. What is the remainder when g is divided by 4\/10 - 38\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1216) + 0 + sqrt(1216))**2*4*-2.\nAnswer: -39112 + 1280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4201274ml in litres?\nAnswer: 0.0004201274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20182 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -5 (c) 5 (d) 3\/8 (e) 7 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*0*1. Suppose r + 2*t + d = 11, 2*r - 4*t = -18. Do r and 1\/20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027312 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3697337 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1942288?\nAnswer: -3\/971144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*q - 2. Let u(a) = -a - 1. Let f(t) = 3 - 2 + 1. Give q*f(h) + 2*u(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0*n**4 - 1\/15*n**6 + 0*n**2 + 0 + 1\/20*n**5 + 1\/42*n**7 + 0*n**3 + 5*n. Factor m(q).\nAnswer: q**3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(17 + -7 + -15). Let b(g) = g**3 - 7*g**2 + 8*g - 7. Determine b(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g + 5. Let t = 9 + g. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - ((-219)\/60 + 12\/(-16)). Let o = -9 - -4. Which is the nearest to 1\/4? (a) o (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*b + 32*b - 2014. What is the smallest common multiple of b and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 16 + 8)*(2*q - 3*q + 0*q)*(-9*q + 106*q + 201*q) to the form t + z*q + n*q**2 and give n.\nAnswer: -6854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 6}. Give prob of picking 4 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -944 = -g - 44*b + 42*b, 0 = -4*g + b + 3740. Calculate the remainder when g is divided by 240.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + (26 - 31)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 5*i + 0*i)*(212*i**3 - 2372*i + 2372*i) - 5*i**4 + 3*i**4 + 3*i**4.\nAnswer: -211*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*x = -6*p - 269*x + 66, 2*p + 103 - 5 = -3*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19 + 56*s**2 - 57*s**2 - 12*s - 3*s + 67. Let t be f(-19). What is the highest common factor of 195 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34798 and -143.\nAnswer: -4976114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -495268214.22 and 3.\nAnswer: -495268211.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 859349.3 decades in millennia?\nAnswer: 8593.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 951.7? (a) 0.05 (b) 2\/5 (c) 151\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) -1\/39 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/2 - x**2 - 806*x. Let d(n) be the first derivative of 5 - 1 + n - 3. What is -2*d(f) - l(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12849, -20510, -28171, -35832?\n\"Answer: -7661*q - 5188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1020*h + 14789. Calculate l(-13).\nAnswer: 1529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/1)\/(-24))\/((-3)\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116994*q - 2*q**2 - 57773*q - 59221*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113083.000064 + 113087. Let b = -4 + s. Round b to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -975, 1, 19 in descending order.\nAnswer: 19, 1, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -23.3. Let v = 0.1 - 0.6. Which is the nearest to 1? (a) v (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**4 + 534*x**3\/7 + 879*x**2\/7 + 408*x\/7.\nAnswer: 3*x*(x + 1)**2*(21*x + 136)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 70.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99) - (sqrt(99) - 2*sqrt(99))) - sqrt(99))\/(sqrt(27)\/sqrt(27)) - (-2 + -2*(sqrt(33) + sqrt(132)\/sqrt(4))\/sqrt(3)).\nAnswer: -11*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2877\/4 - 720. What is the biggest value in -665, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) 102 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 - (-3)\/(-4). Suppose -5*y + 3*l = -5, 4*l - 28 = -2*y - f*l. Suppose 2*s - 5*a = -2*s + 139, 143 = 5*s + y*a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 80. Let h(v) = 2*v**3 + 2*v**2 - 2*v + 1. Let m be h(1). Suppose -g = -f - 2*x, -m*x - 37 + 116 = 5*f. 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 the remainder when 11148 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3*1)\/((-26)\/((-37700)\/(-50)))?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -40\/58859?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-63)\/(-12))\/(4 - 183\/48). Suppose 5*d = -n + 53. Calculate the remainder when 44 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/60 + q**4\/4 - 2*q**3\/3 - 12*q**2. Let z be g(2). Solve 3*b + 30 = 5*r, 4*b - r = z*r - 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 2 - (-2 - -2). Let z be ((-21)\/35)\/(m\/(-10)). Solve z*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 5062659*k + 15188004.\nAnswer: -3*(k - 1687556)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92333784.\nAnswer: 2, 3, 3847241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2*d = 2*z + 4, z = -2*d - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 + 5) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1054*u**3 + 2004*u**3 - 951*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*p - 60 + 219. Let o = 1\/26 - -6\/13. Put -2, -3, o, p in ascending order.\nAnswer: -3, -2, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1989691 and 359546.\nAnswer: 3047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15988 - 2239. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 88 = p + 3*x, -p = -5*x + 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.21746 * 17.9\nAnswer: -39.692534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001629039146 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1492 and -0.1801?\nAnswer: 1491.8199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 13*t**2 - 5*t - 47. Calculate n(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 3*i**2 + 6*i - 3. Let h be n(5). Let o = h + 23. What is q in 3\/2*q**4 + o*q + 0 + 1\/2*q**2 + 1\/2*q**5 + 3\/2*q**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5848?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 2\/3*q**3 - 2*q + 1\/2*q**2 + 0. What is the derivative of s(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 156*c - 161*c + 45 = 0, -4*c + 42 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.2 (b) 1.2 (c) -254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -41. Let q(b) = 141*b + 285. Give -3*q(s) - 21*r(s).\nAnswer: -423*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -932531\/100270 + 2\/10027. Let p(r) = -r**3 - 15*r**2 + r + 7. Let b be p(-15). Calculate the common denominator of 9 + 3\/(6\/b) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125343 (base 10) to base 5.\nAnswer: 13002333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2 - 3809342*w + 7618692 = 0. What is w?\nAnswer: -1904673, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -414 + 842. Suppose 3*z - 7*z = a. Let o = z + 153. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 70*g**2 - 163. Let s(i) = -23*i**2 + 54. Let v(w) = -6*p(w) - 17*s(w). Find the first derivative of v(h) wrt h.\nAnswer: -58*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -214.\nAnswer: -214, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dppppdpdcppq. What is prob of picking 3 p and 1 d?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*h - 1260, o + 267 = h - o. Let w = h + -246. Calculate the remainder when 71 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*h + 360 = 0. What is the nearest to h in 3\/5, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 11)\/((-558)\/114 + 5). Solve 3*o + 136 = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 113069788?\nAnswer: 113069791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x = -87*x. Let f(g) be the third derivative of 0*g**4 + 0 + 0*g + x*g**3 - 1\/6*g**5 + 1\/20*g**6 + 9*g**2. Find the third derivative of f(v) wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 37.9999892. Round g to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2450) + 0 - ((-2*sqrt(1250) - sqrt(1250)) + (sqrt(50) - (sqrt(7200) + 0))))*-2*-2.\nAnswer: 4 + 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n - 5. Let o be d(0). Let y = 48 - 28. Suppose 5*g = -u - 23, 4*g = -0*g - y. Sort o, 1, u in ascending order.\nAnswer: o, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 3*p - 98. Suppose -4*w - 5*x + 865 = 0, p + 302 = 2*w + 5*x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66364*o + 4*w = -66369*o + 35, 3*w = 2*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8282402 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1\/34, -2, 4, 0.43, -4.\nAnswer: -4, -2, -1\/34, 1\/5, 0.43, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12808 + -13759.8. What is w rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-58 + 29 - 22) - 157?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1100100001 (base 2) to base 4\nAnswer: -30201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-10 - -4) + -4. Determine h so that 8\/3*h**4 - 8\/3*h + 38\/3*h**3 - 10*h**5 + b - 8\/3*h**2 = 0.\nAnswer: -1, -2\/5, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 49\/67252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 227, 206, 167, 104?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -29. What is the smallest common multiple of 12 - 0\/(3 - l) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0 (c) -2\/5 (d) 1\/5 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 394.38153567 + 1.61769233. Let k = 396 - a. Round k to 5 dps.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 15\/8.\nAnswer: -4, 0, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 43*m - 15*m - 13*m - 15*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -22. What is the least common multiple of o and 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0878 and -3.1.\nAnswer: -3.0122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545588.\nAnswer: 2, 136397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4277 + -6057. Let k = -1255 - z. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 68 = -g. Let c = g + 97. Suppose -f + 6*f - c = 0. Calculate the remainder when f is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450684, -450682, -450680?\nAnswer: -450678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 183687912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10837.34 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12552, 19679, 26806?\n\"Answer: 7127*z + 5425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5760124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3188838330 to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 5. Let v = 0.3 - 0.2. Let p = 0.1 - v. Which is the closest to p? (a) -3 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 53*r + 11. What is the remainder when v(-14) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 14, 31, 64, 119?\n\"Answer: b**3 - b**2 + 3*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 688 divide 11870775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1651*d**3*g**3*k + 7215*d**3*g**2*k**3 + 50*d**2*k**2 + 1098*g**3*k**3 + 227*g**3 wrt k?\nAnswer: 43290*d**3*g**2 + 6588*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 3*q**2 - 5*q**2 + 0*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 1, w: 1}. What is prob of sequence wc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/58422 and -101\/36.\nAnswer: 350532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38417842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 15*m**2 + 36*m - 25. What is b(12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 10*u**2 + 0*u**2 - 6*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -134471 take away -10?\nAnswer: -134461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*q - 270*q = 4*s + 472, 5*q - 400 = -5*s. Solve -q = -5*d - 63 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-5\/7)*k*k*k**(-6)*k\/k**(2\/17) assuming k is positive.\nAnswer: k**(-53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5744 + 1?\nAnswer: 5745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 63764?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-12) - 3\/2. Suppose 3*o + 9 = 2*b, -3*b + 3*o + 6 = -q*b. Let w be 4*(-2)\/(-8) - b. Solve -4*n - w*k = 0, 0*n + 10 = 3*n - 2*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, x: 3, c: 5, s: 1}. Give prob of sequence xk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 = -3, -2*s = -5*j + 25. Does 16 divide ((-12)\/s)\/((-15)\/(-250))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 89 (c) -3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39455 and 104065?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c6 - -30e6?\nAnswer: 31bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25061*369.\nAnswer: -9247509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.227 in -1\/6, -4, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -329*g + 1635. What is o(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 11*o = -6*o - 50, 5*w + 20 = -5*o. Let z = w + 9. Factor 27\/8 + 9\/4*j + 3\/8*j**z.\nAnswer: 3*(j + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, 2, -8, 4 in increasing order.\nAnswer: -8, -1, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/5, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3775213 (base 8) in base 12?\nAnswer: 42600b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let o be x(-2). Suppose o*d + 3 = -12. Let q = -3.3 + -0.7. Sort d, q, -1\/10 in ascending order.\nAnswer: d, q, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3060)\/(-2244) + 4\/(-11). What is the third smallest value in k, -0.07, -1, 1\/15, -0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*g + 62*g + 57*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -13*j**6\/120 - j**5\/60 - j**4\/24 - 2*j**2. Let m be y(-1). Let f = m - 3. Calculate the remainder when 39 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001100121 (base 3) in base 5?\nAnswer: 2242404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/8*420\/(-315).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - o + 20 = 3*o, 2*o + 60 = -5*n. Let m be (n - 0)*(-2)\/5. Suppose 0*w = -m*w + 24. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 48*u = -45*u + 4*u + 4270 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o - 3. Let v(w) = -w + 1. Determine -l(h) + 4*v(h).\nAnswer: 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, s: 1, k: 2, e: 4}. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i**2 - 4*i**2)*(-21 + 10 - 10).\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466362 is divided by 529.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:32 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 11. Let p be a(8). Suppose 0 = -p*l + 8 + 46. Suppose 4 + l = 2*s. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + 18. Let f be (-114)\/(-19) - (0 + -1)\/(-1). Suppose -4*g + f*c - c = -d, 5*g + 5*c = 90. Solve 0 = -4*a - g - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 2, g: 4, k: 2, i: 1, b: 1}. What is prob of sequence gg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from dpvgvwvvvxvvvvg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 33*n + 20. Let l be z(-15). What is the second derivative of -l*y + 11 + 67*y - 18 + 11*y**5 wrt y?\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/43, -121308, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 7*f**2 - f + 38. What is the remainder when 123 is divided by s(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (-1 + sqrt(171))) + -5)**2 - sqrt(171) - (1*sqrt(171)*6)**2 - (4*(-1 + sqrt(171))**2 - ((sqrt(171)*-2)**2 + 2))) + -5.\nAnswer: -6147 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/4 - 765*g**2\/4 - 1527*g\/4 - 763\/4 = 0. Calculate g.\nAnswer: -763, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1701683?\nAnswer: -1701683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from ddtdt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 47 + 952. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - -28. Let d = o - 39. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*4*sqrt(2548) - ((sqrt(156) - ((sqrt(156) - (sqrt(156) + -1*sqrt(156)*-4) - sqrt(156)) + sqrt(156))) + sqrt(156))\/sqrt(3))**2.\nAnswer: 724048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 7*q + 351. Let p = q + 131. What is the lowest common multiple of 4\/(-1*2\/(-9)) and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22500546.4 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - b**3 + (0 + 5 - 3)*(-4*b**3 + 3*b**3 + 0*b**3) + (-b + 0*b + 2*b)*(3*b - 3*b - 2*b**2) - 3*b**3 - b**3 + 3*b**3 - 4*b**3 + 4*b**3 + 2*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -15*q + 4. Let f be 1144\/64 + q\/16. List the prime factors of (-1172)\/(-9) + (-4)\/f.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9114 and 620?\nAnswer: 91140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163\/7 less than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/114 and 94\/15477.\nAnswer: 588126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-2) + (-4)\/(36\/(-45)). Is (-3024)\/120*p\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 938 + 42 = 0. Let l = h + 1299. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5 = -4*q, q - 5*b = -4*b - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 9*l**2 + 8*l + 2. Let z be o(-8). Suppose -z*f + 1019 = 5*h - 710, 0 = -5*f - h + 4265. Suppose 6*p = 360 + f. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**3 + 3*p**2 + 8*p - 7. Let k(x) = x**3 + x**2 - 2*x + 1. Calculate 4*k(u) + n(u).\nAnswer: -3*u**3 + 7*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 136433?\nAnswer: 136427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.08 - 1.58. Sort z, 7, -1, -3.\nAnswer: -3, -1, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, -3, -0.202, 2\/3, -636?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w - 561 = 0. Let a = -133 - w. Let z be (-4)\/(-10) - (-534)\/15. What is the greatest common divisor of z and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -19, 1, 5 in descending order.\nAnswer: 6, 5, 1, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:16 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 8*g - 16*g - 18*g**2 + 20*g**2 in the form k + s*g**3 + l*g + y*g**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 88\/3 (c) 1\/5 (d) -5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33127383 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b**3\/3 - b**2\/2 - b - 325. Let h = -19 + 16. Let y(g) = -4*g**2 + 2*g + 2. Give h*y(w) - 7*m(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 787281476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -740, -1123, -2166, -4199, -7552, -12555, -19538?\n\"Answer: -55*t**3 + 2*t - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -135584971?\nAnswer: 135584966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.6 - -299.6. Let j = 265 - v. What is the closest to -1 in 4, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 798164 by 399082.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/13))**34 assuming b is positive.\nAnswer: b**(374\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 13. Let t be m(-8). Suppose 3*i + 88 = -x, 0 = -0*x + x + 4. Let c = -1 - i. Solve c = -t*n + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104121 and 33603?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -291037818*h**2 + 203864669*h.\nAnswer: -582075636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7142\/23827 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {y: 7, c: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1226\/27607 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 3*l - 6, 3*l + 0 = -5*u - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 + 198*d + 382. Calculate r(41).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:48 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(2 + -4) - 2. Suppose 2*l - 639 = -5*y, 3*l = -j*y + 4*y + 911. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 3100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 14*j**2 - j - 12. Let b be l(-14). Suppose -3*m - w = -683, -b*m - 7*w + 464 = -2*w. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3992*x + 30 = 3986*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 + r**3 - 12*r**2 + 13*r.\nAnswer: -48*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by 62?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.126901411 - 456227724.873098589. Let h = f + 456227661.0000069. Let b = 65 + h. What is b rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2 + 2. Let c(g) = 9*g**2 - 5. Let x(b) = -2*c(b) - 5*l(b). Let q(r) = -r. Determine q(x(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 504, 470, 436, 402?\n\"Answer: -34*u + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2095192260 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b - 9. Let i(z) = -11*z + 9. Let f be (0 - 10)*1\/2. Let k(w) = f*i(w) - 6*q(w). Let l(n) = -3*n + 5. Give -4*k(d) + 7*l(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j*j*j*j\/j**(-2)*j)\/j)\/j*j)**(6\/29))**(-38)*(j**(1\/4)*j*((j\/(j\/(j*j*j**(-2))*j))\/j)\/j)**2 assuming j is positive.\nAnswer: j**(-3851\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p - 14*p - 14*p - 18*p + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4) - 21\/(-6). Suppose 5*n + h = 6*n. Solve n*y + 26 = -j, -3*j + 18 = -j - 4*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -10 + 1 - -364. Suppose -7*p + 6*p = -236. Let q = r - p. List the prime factors of q.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 5*m + 2*x - 30, -x = 6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41754*b**3 - 84166*b**3 + 42360*b**3.\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 1.8, -4, 0.1?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.379*1.\nAnswer: -1.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.969 - -9. Let o = y + -21.031. Let h = 27 + o. Is h not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h = 5*f + 22, -f + 4 = 3*h. Suppose 4*w - 18 = -h*r + 3*w, -5*w + 20 = r. Find the second derivative of -5*x - x - 3*x**r - x + 0*x wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 65*t - 69*t + 200, t = 2*m - 137. Sort 3, m, 4 in increasing order.\nAnswer: 3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2 (c) -0.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/7))**(-17))**(-30))**29 assuming s is positive.\nAnswer: s**(29580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/(-5))\/(((-12528)\/(-480))\/29). Let w = -2.8 - 13.2. Which is the smallest value? (a) -2 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 53*c - 2 + 0 as v*c + l and give v.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - (-268)\/3. Suppose 0 = -5*l + j + 530. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z - 4 = -37*z. Calculate the lowest common multiple of z and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-18)*(8\/6 + -2). Which is the closest to t? (a) 24 (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) -5 (b) 4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 387730?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {k: 5, z: 15}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 4. Let x be z(4). Let h be (-1 + x)\/((-2)\/10). Find the second derivative of -6*u**h - 5*u**5 + 21*u - 5*u wrt u.\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 2385*n**2 - 4785*n + 2395.\nAnswer: 5*(n - 1)**2*(n + 479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbz when three letters picked without replacement from {b: 2, s: 1, z: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3)*2\/4. Solve z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.03, 1, 0.1772 in descending order.\nAnswer: 2, 1, 0.1772, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 77.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -160058573 + -10399\nAnswer: -160068972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3)*258*(-28 - 337\/(-12)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103641 (base 7) to base 4.\nAnswer: -10123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 49444401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -140.9 and 451742.\nAnswer: 451601.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 20*z - 14. Let f be j(1). Solve 0 = 5*m + 5*y - 15, 2*m - m + 4*y - f = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - b1bc?\nAnswer: -b1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + (-1 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/56)\/((-91)\/(8190\/225)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/9 (b) 3 (c) -4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001924 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 3)\/((-6)\/(-20)). Let h = z - -14. Suppose 2*o + 160 = 5*p, 7*p - h*p - 105 = 3*o. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.201 times 0.0029\nAnswer: -0.0005829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/1220 or 1?\nAnswer: -11\/1220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -18. Let t(u) be the second derivative of 1\/10*u**6 + 1\/6*u**4 + 0*u**2 - 2*u + 0*u**5 + 0 + 0*u**y. What is the third derivative of t(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*y - 126*y + 409*y.\nAnswer: 516*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160715 is divided by 5357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 25*h**2 + 304*h + 63. What is the tens digit of y(-51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -66. Let j = h + -23. Solve a = j*x + 9, 4*a + x = 2*x + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10448284.\nAnswer: 2, 7, 11, 33923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**2 - u**3 + u**2 + 0 - 5*u + 2. Let n be c(-5). Factor -2*o**n - 5*o**3 - 2*o**2 + 3*o**5 + 2*o + 3*o**2 + o**4.\nAnswer: o*(o - 1)*(o + 1)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(1760\/(-24)))\/(6\/(-15))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 5, 13, 2\/53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/124476 and -77\/12.\nAnswer: 124476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16))**40*l**37*l\/(l**(-33)*l) assuming l is positive.\nAnswer: l**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 863556541 to the power of 1\/2, to the nearest integer?\nAnswer: 29386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(171)*2*-4)\/sqrt(9) - (((sqrt(304) + -2 - sqrt(304))*-2)**2 - (-5*(3 + sqrt(304))**2 + sqrt(304))).\nAnswer: -1586 - 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 23\/((-115)\/(-50)). Let r(q) be the third derivative of -1\/36*q**4 + 0*q**3 - 1\/90*q**5 + 0*q + 0 + c*q**2. Solve r(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/12 - 9*h**2. Let y(x) = 2*x - 3*x + 3*x. Calculate y(r(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70428372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-9))\/((-4)\/12). Let b = -0.05 - -0.85. Let s = -1 + b. Put s, 5, p in decreasing order.\nAnswer: 5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = j + 1. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -7*o + 74. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3849 - -23015\/6. Suppose -4*f - 87 = 21. Calculate the common denominator of b and f\/14 + 6\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 10. Suppose 4*c - 2*c + 12 = 0. Let l be a(c). Let g(u) = -1 + 1 + 3*u + 3 + l*u**2 - 32*u**2. Give g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1783*y - 1672 wrt y?\nAnswer: -1783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 77*a - 21. Give z(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 42154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than 7913\/1853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.64 and 872480?\nAnswer: 558387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27139680 and 172960.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13167 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*w = -213*w + 35. List the prime factors of (-2 + -28)*(w + -8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 5. What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 17890\/(-2685) + (-2)\/3. Let u = o + -2\/537. What is the closest to 2 in -2\/7, -1, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlmmmmllllll. What is prob of picking 3 l?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-20288.33.\nAnswer: -40576.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53028 and 5892.\nAnswer: 53028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:06 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-64 + 21 + 24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j - 29. Calculate the least common multiple of n(5) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 + b - 4. Let x be q(6). Suppose -3*z - 48 = -3*p, 0*p - 4*p = -x*z - 56. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.182481 seconds to minutes.\nAnswer: 0.10304135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*5)\/(sqrt(36)\/sqrt(3)*-4) - (sqrt(39)\/(sqrt(3) + sqrt(33)\/sqrt(11)) + sqrt(156)\/(sqrt(144)\/sqrt(12))).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose -5*k + 26 + u = 0. Let y(w) = w**3 - 5*w**2 - 6*w + 7. Calculate the remainder when y(k) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**15*y**(3\/16)\/y assuming y is positive.\nAnswer: y**(-237\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -43*d - 1159. What is y(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*h**5 + 6235*h**4 - h**2*j - 9*h*j - 107*h - 769*j wrt h.\nAnswer: -1680*h**3 + 74820*h**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 275*o**2 - 40*o - 7. Is 3 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7665\/(-2044))\/(3\/8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -37, -27 in increasing order.\nAnswer: -37, -27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 - 27. Let o be ((-75)\/4)\/((-2)\/(-16)). What is the remainder when r is divided by (-2)\/(-8) - o\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -3*u**2\/2 + 5*u + 1. Suppose 5*r - 21*x = -18*x + 18, -10 = -5*r - 5*x. Let g(z) = -z + 2. Calculate r*m(b) - 7*g(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -5.4974408?\nAnswer: -5.4974408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 118 + 6432\/(-2496)*26\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:27 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 at least as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 13\/18, 0.05, -5 in ascending order.\nAnswer: -5, 0.05, 0.1, 13\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -13252021?\nAnswer: 13252021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 + 13*f + 10. Let w be m(-8). Let c = -1 - -15. Solve 5*a + c = -x + w, 0 = 2*x + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 2*v**3 - 4*v**3)*(3 - 3 - 2*v - 4*v**2).\nAnswer: 4*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 1\/12*m**3 + 4*m - 1\/48*m**4 + 0 - 1\/8*m**2. Factor k(u).\nAnswer: -(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(1 + (-33)\/24). Suppose f = k + 3, 0*k - c = -3*k - 2*f. What is the smallest value in 0.5, 2\/11, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8723666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2 + (-28)\/(-13)). Suppose y - 25 = -44. Let u = j + y. Solve -u = 3*x + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/803 and -51\/154.\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/9 - 32\/9) + -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238081?\nAnswer: 13, 131, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = f + 14, -5*f = -0*f - 5. Suppose 1124 = j*i + 119. Suppose 5*k - i = -4*z, -3*k = -4*k - 4*z + 67. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, 1\/5, 0.5, -38.921?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 4, 2 in descending order.\nAnswer: 86, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/294128310 and 65\/98.\nAnswer: 2058898170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/(-21)*-3111 - 8\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184 - 225 + 348)*(s - s - 2*s).\nAnswer: 122*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:05 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:30 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -454 (c) -0.4 (d) 0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000059236 rounded to 7 dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 666, 993, 1298, 1569, 1794?\n\"Answer: -2*q**3 + q**2 + 338*q + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*j**4 - 84*j**3 - 1377*j**2 + 2514*j - 1200 = 0. What is j?\nAnswer: -25\/7, 1, 8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let i(t) = -t**3 - t**2 + 6*t + 3. Let x be i(-2). Put x, -2, -4, r in ascending order.\nAnswer: x, -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93366 + 4?\nAnswer: 9336a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 48*d**2 + 58*d + 517. Let h be t(-47). Let r = -15 + 5. Let l = r - -6. Put 3, l, h in increasing order.\nAnswer: l, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105126+-16776\nAnswer: 88350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1082 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -11) + 50 + 0. What is the units digit of (-1 - w)\/((-51)\/170)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose o*h = 4*h - 35. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by 7239\nAnswer: 196\/7239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:10 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 564460073 - -3?\nAnswer: 564460076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose 11 = z*k - 1. Calculate the remainder when 39 is divided by ((-20)\/k)\/(4\/(-24)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 73.1. Let i = q - 68. Which is the biggest value? (a) 1 (b) 2\/3 (c) i (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**10*o**7)**(26\/9) assuming o is positive.\nAnswer: o**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -43, -99, -193, -337, -543?\n\"Answer: -2*y**3 - y**2 - 13*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6619 + 1160.22627.\nAnswer: -5458.77373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393132*m = 393114*m - 288 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 8)*(-6*o - 2*o**4 + 6*o - 4*o).\nAnswer: 8*o**4 + 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -1.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/5 + 109*b\/5 - 114 = 0.\nAnswer: -114, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 0*y**2 + y**3 - 16 + 3*y + 1\/2*y**4. Let n(s) = -9*s + 25*s**3 + 40 + 9*s + 40*s**2. Determine -3*n(o) + 40*z(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 35 = -5*m, -4*m + 31 = -5*n - m. Let c(g) = -g + 2. Let s(q) = q - 2. Let h(y) = n*s(y) - 6*c(y). What is the units digit of h(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49142 (base 12) to base 4.\nAnswer: -120012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1422 (base 7) to base 3.\nAnswer: 202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13391 (base 14) to base 9.\nAnswer: 71865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2 - 5*g - 4*g**2 - 2*g**2 + 2*g**2. Let f be r(-3). Let y = 35 + f. What is the remainder when 22 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Suppose -l + 5 - x = 0. Solve -7 = q - l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489075 to the power of 1\/2, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12528)\/(-54288)*962\/(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 0. Which is the nearest to h? (a) 0 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232\/15 + -46\/3. Let g be (580\/(-18125))\/(-2 - (-24)\/15). Sort -4, g, w.\nAnswer: -4, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 12. Suppose -5*v - 15 = 0, 2*f = -2*f - 5*v - 79. Let u = f + 25. Calculate the remainder when u is divided by p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-49) - (-26)\/(-126).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = -1. Let r(d) = d**2 - d + 3. Let z be r(-5). Let q = z - x. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*1 - (-21)\/63)*3. Let j be -3*p\/12*(0 - 1). What is the closest to j in -14, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - 1) + 0 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 9, -7*u - 3 = 3*h - 5*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*((-26)\/(-16) - 2). Let x(s) be the second derivative of -1\/10*s**6 + 0*s**2 + 3\/10*s**5 - 1\/4*s**4 + 0*s**k + 4*s + 0. Factor x(c).\nAnswer: -3*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0754744695 to three decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - -71) - (1127 - 1116)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + 9*f + 234 = f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1315, 1007, 685, 343, -25, -425, -863?\n\"Answer: -q**3 - q**2 - 298*q + 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*q + 3*q + 3*v, 0 = -q + 4*v + 9. Let y be 102\/(q\/(21\/(-6))). Suppose 2*m = -m + y. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Does 6 divide (26 + -3 - g) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 27*s**2 - 40*s + 33. Let u(m) = m**2 + 1. Let p(f) = b(f) - 3*u(f). Is p(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347 + 2180. What are the prime factors of r?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 5312*f - 6. Let x(j) = -50*j + 7. Give v(x(w)).\nAnswer: 5000*w**2 - 267000*w + 37276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8320 - -15661. What are the prime factors of a?\nAnswer: 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r - 4 + 4)*(3*r - r - 6 - r**2 + 5).\nAnswer: 9*r**3 - 18*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/36, 3\/5, -3\/5, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277 - 10261477?\nAnswer: -10261200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38815322 to the nearest integer?\nAnswer: 6230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.23062 - 5.23. What is s rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 + 11 = 0. Suppose -l - 5*n - 4 + 54 = 0, -j*l + 160 = -5*n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.4 (c) 0 (d) -0.2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (120\/880)\/((-324)\/(-66))\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257866 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73464.42644 - -73462. Let f = 2.42 + o. Round f to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 9 + -6 + (13 + 0 - (23 - 18))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a = -21*a + 369 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -226791 - -331793. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 15*j**2 + 10*j - 9. Let z(u) = 7*u**2 + 5*u - 4. Suppose 3*a - 4*s + 80 - 92 = 0, -a + 2 = -s. Give a*g(x) + 9*z(x).\nAnswer: 3*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 3. Let x(g) = -8*g - 2 + 9 + 5 - 5*g. Let r(d) = 9*k(d) - 2*x(d). What are the prime factors of r(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151061.\nAnswer: 29, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789 minus 102?\nAnswer: -1891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 95*t - 93. What is r(-102)?\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123210 - -10?\nAnswer: -10123200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 87. Let t(j) = 9*j - 29. What is the units digit of t(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:15 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -412*w + 416*w + 4*f - 243172, -w + 60793 = -3*f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/3 (b) -1\/7 (c) -47986 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14619119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 42\/13 (c) -4 (d) -2 (e) -1\/5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-238)\/63 - -4) + (-16)\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4135502?\nAnswer: 2, 7, 19, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 47.68. Let s = h + 0.3. Let q = -48.0065 + s. Round q to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.5, -20315\/106, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6))\/(1\/8). Let f = -3 - -5. What is the lowest common multiple of f and 10\/k*(0 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 23*m**2 - 3. Let y(w) = -69*w**2 + 8. Let h(i) = -8*b(i) - 3*y(i). Let j(g) = -2860*g**2 + 5718*g**2 - 2862*g**2. Give h(j(p)).\nAnswer: 368*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145.9 - -144. Let p = t - -37.9. Which is the third smallest value? (a) p (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.68 - -3.3. Let b = -3.18 + v. What is b rounded to zero decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 372 = 3*p, -68*w + 62*w - 4*p + 444 = 0. Calculate the greatest common divisor of w and 9906.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -155*v - 280. What is the thousands digit of m(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s + 5. Let v = 987 - 993. Let a(i) = 6*i + 5. Determine v*a(z) + 7*u(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 - 25*w**2 - 3*w**5 + 24*w**2 + 3*w**4 + (0*w**5 - w**5 + 0*w**5)*(1 - 4 + 2).\nAnswer: -2*w**5 - 2*w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23301, -38567, -53833, -69099, -84365?\nAnswer: -99631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 13*i**7\/210 + 41*i**6\/30 + i**5\/30 - 229*i**4\/24 - 2*i**3\/3 - 959*i**2. Find the third derivative of a(p) wrt p.\nAnswer: 312*p + 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 93724485.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 10602 + 8424 = 0. What are the prime factors of y?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4042, -4, -14.\nAnswer: -14, -4, 4042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -237 + 48 + 22*o + o**3 + 111 + 23*o**2 + 97. Calculate r(-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.618462 to two decimal places.\nAnswer: -8.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4 - 7*p - 7*p**2 - 36 + 44. Let i(v) be the second derivative of 2*v**4\/3 + 4*v**3\/3 - 5*v**2\/2 - v. Determine 6*d(j) + 5*i(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 58\/33?\nAnswer: 58\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.83758 rounded to 2 decimal places?\nAnswer: 2.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 23*p - 444870. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985081365?\nAnswer: 3, 5, 727, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-27)\/162 + 5\/(-114)). Suppose -2*p + 7 + 11 = 0. Suppose p*l = 4*l + 95. Calculate the highest common divisor of l and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + i**2 + i + 1. Suppose 2214*o - 2215*o + 4*u = 9, -5*o - 3 = u. Let f(m) = -4*m**2 + m - 2. Give o*f(c) - 2*x(c).\nAnswer: 2*c**3 + 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose a*i - 13 = -3*k, -i + 5*k - 10 = -2*i. Solve 5 = -3*l - 5*s - 2, -s - i = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {l: 1, v: 2, p: 1, s: 1, x: 1, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1969769 + -1?\nAnswer: 1969768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((-2)\/(-12)*88\/(-44)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 6*c + 3*c = 132 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9*j - 35 = 4*j, 2*j = -w + 16. Is -5\/2 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Let o = 10397\/2 - 5199. Which is the fourth biggest value? (a) -1 (b) o (c) 1\/17 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**3 + 7*v**2 + 13*v + 10. Let d(u) = 6*u**3 + 7*u**2 + 12*u + 9. Let w(o) = -6*d(o) + 5*j(o). What is w(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 521*o + 14463. Determine g(-198).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535080 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 19, -1 in descending order.\nAnswer: 19, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -735 + 1336. Suppose -r = g - 723. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -434 + 440. Solve 5*a + g = -4*r, -5*r + 0*a - 26 = -3*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 35*r**3 - r + 2. Let n be h(1). Suppose 14*s - 5*s = n. Solve 3*z + 12 = -2*t - 2, 4*t = s*z + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 - 270*n**2 + 7*n - 305. Let h be i(45). Solve h*y = -24 - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 35263 = -4245. Is n a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69235 is divided by 17308.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55317*i + 5*i**2 - 55317*i - 14*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v = -10*v - 280 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971071167?\nAnswer: 13, 11663143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-4\/3))**(9\/7) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058 - 827.\nAnswer: -826.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - ((-2 - 7) + -5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 6 + 3)*(-2 + 1 + 2) - 2 + 4 - 4 - 4 + 4 - 1 + 3 - 3 - 1 + 0 + 0 + 1 + 1 - 3 + 1 - 3 + 1 + 3)*(-1842 - 1842 - 379*n + 3685).\nAnswer: 758*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 9*t + 18. Is 4 a factor of (t + -1)*(-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -610.999679 - -611. What is w rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0*y - 1\/10*y**5 + 5\/6*y**3 + 0 + 1\/120*y**6 + 1\/4*y**4 + 7*y**2. Calculate g(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**19*w**(-2\/57) assuming w is positive.\nAnswer: w**(1081\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 42 - 37 = -6*s, -2*g - 5*s + 27 + 23 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -113575, -2\/7, -480?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53271 - -77105. What are the prime factors of c?\nAnswer: 2, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19652217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 11843636.4028.\nAnswer: 11843636.8028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -279 (c) 0.113 (d) -2 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 1.1. Let k = 1.4 - 0.4. Sort 5, c, k in decreasing order.\nAnswer: 5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001999 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 10*y + 2. Suppose -s - 19 = -3*k, -3*s = -k - 5 - 2. Let x be o(k). Let b = -12 - x. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.2, -75.8, -9\/38?\nAnswer: -75.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1952 and 1090640.\nAnswer: 133058080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 23 = 27. Let o = 12 + f. Let r = 7 - o. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 10*f + 1. Let y(o) = -6*o**3 - 62*o - 8367. Let r(x) = -3*a(x) + y(x). What is the derivative of r(d) wrt d?\nAnswer: -9*d**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - b = -63. Let g be 42\/b + (-1 - 1). Solve 7 - 3 = -g*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5 = -5*t. Which is bigger: 2\/21 or t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7374299 divided by -388121?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 51 = -5*l + v, -4*v = 5*l - 19. What is the remainder when 47 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -63. Let f be (-18)\/5 + 21\/35 - -5. Sort f, 0, s in increasing order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/25 - 334\/20 - 21\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/s)\/(s\/(s**(1\/7)*s)))**(6\/7)*(s*s**(2\/3)\/s)**(1\/22)*s**(-1\/5)\/((s*s*s\/(s**(-2\/9)\/s))\/s) assuming s is positive.\nAnswer: s**(3859\/24255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 101 = -38. Let r = i + 19. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-72))\/(1\/(-3) - 0). What is the second biggest value in g, 5, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anxk when four letters picked without replacement from axuxkknkuk.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28128 and -24888?\nAnswer: 53016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 669 + -7335\/11. Let j = 1452 - 9. Let u = j + -15892\/11. Calculate the common denominator of u and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*n + 981 + 295 = -420*n. Let a = -57196\/7 - -8143. Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 467888 and -434.\nAnswer: -203063392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8abb91 - 28?\nAnswer: 8abb65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/616*28*((-3021)\/399 + 8).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d + 3*d)*(d**3 - 3*d + 3*d).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 20*f. Give b(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11899 + 11833. Let n(j) = 15*j + 3. Let p be n(6). Let b = h + p. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 40*w**3 + 437*w**2 + 356*w + 4269. What is l(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:35 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 19.6. Let o be (4\/(-10))\/((-2)\/20). Suppose -5*h - 58 + 64 = -v, -3*h = 5*v + 58. What is the smallest value in l, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/32 - (-3)\/12 - ((-819)\/(-126) + 7).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/9)\/((-4)\/(-78)). Let i = -11 - a. Suppose 2*d - 146 = -i*o - 2*d, -3*o + 2*d = -259. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m**3 + 56*m**2 - 6*m + 2800. Let n(b) = -7*b**3 - 40*b**2 + 4*b - 1867. Calculate 7*n(i) + 5*o(i).\nAnswer: i**3 - 2*i + 931","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107557?\nAnswer: 59, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.4, 1\/5, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - 12)\/(1*-1). Let o be ((-1)\/q + -1)\/((-4)\/2). Which is the second smallest value? (a) 2\/15 (b) -2\/33 (c) o (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwggg. What is prob of sequence wgwg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1170 and 23400.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(2\/7)*y**(-1\/5)*((y*y*y\/y**(-1\/4))\/y)**(-1\/16) assuming y is positive.\nAnswer: y**(2117\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10*(-10)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248952527 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2277161 divided by 23.\nAnswer: -99007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 5*q**8\/42 - 115*q**4\/12 + 66*q**2 - 1. Find the second derivative of f(b) wrt b.\nAnswer: 800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6 - 4. Suppose 0*l - l = -d. Suppose -l*r = -r. Solve -3*p + 4*p - 4 = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from hhssuufhuusus?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 174 = -5*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853480086 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*k + 1257, -5*k + 5*t = 960 - 3055. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567566 (base 8) in base 14?\nAnswer: 149262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 - -128. Let p(x) = -5*x**3 - 483*x + 481*x - 3*x**2 - f + x**2. Give p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -138\/11*q - 2\/11*q**3 - 180\/11 - 32\/11*q**2.\nAnswer: -2*(q + 3)**2*(q + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 360 and 0.06.\nAnswer: 360.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/7*1\/(-44)*-4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -343*z**2 + z - 80. Let g(t) = 693*t**2 - t + 159. Let d(p) = -3*g(p) - 5*x(p). Find the second derivative of d(m) wrt m.\nAnswer: -728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 9*i = -82, 7*f - 12*f - 209*i = -212*i + 10 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.5 + -18. Sort t, 0.3, 0.5 in descending order.\nAnswer: 0.5, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 15963 + k - 31999 - 6*k**2 - k + 15963 as z*k + g*k**2 + m*k**3 + d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 6*r**2 + 6. Suppose -3*v = 2*j + 1 - 27, 6 = -v + 3*j. What is the least common multiple of 6 and w(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09393863 rounded to 3 dps?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 176122, 175945, 175648, 175231, 174694?\n\"Answer: -60*h**2 + 3*h + 176179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*c + 29 - 29*c + 52 + 27*c**2 + 57*c + 3*c**3.\nAnswer: 3*(c + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 36*i**2 + i + 39. Let w be s(-36). Sort w, 336, 5 in ascending order.\nAnswer: w, 5, 336","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 28*r - 29 - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12557 (base 8) in base 2?\nAnswer: -1010101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 12003231?\nAnswer: -12003221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let i(a) = -12*a + 68. Let s be i(0). Let b(f) = -s*f + 21*f + 23*f. Calculate 2*b(h) + 42*t(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157 - -1.017.\nAnswer: -155.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 + 21?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - 5*y**3 + 5*y**3)*(17 - 4 - 3).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - p + 1. Let m(k) = -8*k**2 - 6*k + 3. Let c(g) = g**2 - 4*g - 6. Let s be c(-2). Suppose 3*o + 9 = s. What is o*m(b) + 6*x(b)?\nAnswer: 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -24*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 133*u**2 - 260*u - 5. Calculate w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from hbsbpxsxxhhhpsh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*((-1 - 5 + 2)*(r - 6*r + 3*r) - 2*r + 2*r - r + r + 0*r - 2*r)*(-2 - 3 + 7).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -55469 divided by 6\nAnswer: -55469\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10548 at most as big as 10547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 21*l**2 + 22*l - 45. Let n be w(20). Put n, -3\/2, -3\/5 in descending order.\nAnswer: -3\/5, -3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.301498 to 2 decimal places.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 - 50*u + 347 - 118 - 110 in the form d*u + a and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 23170*b + 2901160.\nAnswer: -5*(b - 4756)*(b + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -420, -443, -466, -489, -512?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let p be (-5)\/(-60)*r - (-146)\/12. Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/25, 0.3 in descending order.\nAnswer: 0.3, -2\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 - w - 2. Suppose 0 = g - 3*g - 8. Calculate the remainder when d(g) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 20*z - 19*z. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:27 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 356191216 a multiple of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000479 rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1189 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkw when four letters picked without replacement from kkwktwkktkktwkttkwt?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6670\/7 in -1\/9, -24, 3, -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**17)\/w*w*w**(2\/7) assuming w is positive.\nAnswer: w**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -54, -53, -52, -51?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - 3*a**2 + 2*a**2 + 6*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23989 - 52840 = -1430*i - 3899 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -39. Let j = -199\/5 - m. Let t be 3\/4 - 0\/1. Which is the closest to -0.1? (a) t (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.8? (a) -5 (b) -0.2 (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/10443 and 35\/3396?\nAnswer: 11821476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*u - 8. What is the tens digit of u\/(-52) + (-316)\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i - 40. Calculate the smallest common multiple of 30\/6 + 1 + 17 and i.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -t + 10, 7*t + 3*s + 1 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -43735.987 to the nearest one hundred.\nAnswer: -43700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 22*i**2 - 5*i - 8. Let b be n(-12). Let t be -3 - -1 - b\/(-1442). Let c = t - 2276\/927. Find the common denominator of c and -91\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12576, 12294, 11992, 11670, 11328, 10966, 10584?\n\"Answer: -10*n**2 - 252*n + 12838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27825 is divided by 114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/(-25) - (-72)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cze when three letters picked without replacement from {y: 1, e: 2, z: 4, c: 6, h: 4, m: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 8. Let b(p) = p**3 + 10*p**2 - 10*p + 15. Let m be b(l). Differentiate 3*i + i - m - 2 + 1 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 5. Let m(i) = 4*i + 16. Let d(u) = 4*m(u) - 14*t(u). Let f = 2735 - 2732. What is the remainder when d(6) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(605) + sqrt(605)*2 - sqrt(605)).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 204*b - 1213. Calculate the remainder when ((-21)\/(-2))\/(1\/2) is divided by c(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -27*b - 12. Calculate the remainder when r(-3) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 382395*v - 8032500 = 0. What is v?\nAnswer: -76500, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7389875 or 7389944?\nAnswer: 7389875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -208 (b) -2.6 (c) -3 (d) 1 (e) -1 (f) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 483 and 1728644925?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44322442 - -40?\nAnswer: 44323032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrjrjdrjjjjjdrjrr. Give prob of sequence jjd.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-5 - (0 + -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 275556 and 0.043.\nAnswer: 275556.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and ((-4)\/(-8) + (-9)\/2)\/(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 9) to base 14.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 21*p - 1. Give k(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2346661*v**2*w**3 + 44*v**2*w - v**2 - 2*v*w + 4*w + 453 wrt w?\nAnswer: -14079966*v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 - 5*g - 1. Let h be d(5). Let u be (-7 + 1)\/(-3)*h. Let v = 1 - u. Solve 0 = -v*y - 11 + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -8324, -1, -2\/5, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130812.\nAnswer: 2, 3, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) 0.5 (d) -4 (e) -2\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 18*m - 4. Let n(v) = -8*v**2 - 49*v + 12. Let b(q) = -4*n(q) - 11*u(q). Let x(z) = 2*z**2 + 6*z + 11. Determine -11*b(l) - 4*x(l).\nAnswer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*y = 88, -v + 1 - 21 = -4*y. Let d = 62 + v. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -2.45?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:27 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2\/9))*(w\/(w*((w**5\/w)\/w*w)\/w*w)*w)\/w)\/(w*w**(1\/3)*w)**(1\/2))**23 assuming w is positive.\nAnswer: w**(-2231\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*h - 138 = -1002, 2*y = -5*h - 857. Is y greater than or equal to -449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162100386 + 162098280 = 117*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 10233\/11 (c) -211 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*l + 1. List the prime factors of (-3)\/((-112)\/(-124) - l).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11464473 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 5, z: 3, x: 3, u: 3}. Give prob of sequence uzu.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 70. Suppose -i*n = -4*n + 5*a - 5354975, -3*n + 3213020 = -4*a. Round n to the nearest 10000.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Suppose 2*a + 11 = -5*h, -h + 18 = 3*a - 5*h. Let j(q) = 24*q - 24*q - 16*q**a. Give j(r(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 203, -15, 0 in descending order.\nAnswer: 203, 5, 4, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -9 + 110 + (0 - 27)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 665 - 55. Let i = 182 - r. Solve n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - 3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 63*x**2 + 290*x.\nAnswer: x*(x - 58)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 - -2670. List the prime factors of b.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 5:18 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44978*y**4 - 3871*y**2 - 366110236*y wrt y.\nAnswer: 539736*y**2 - 7742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uduzhfxdf. What is prob of picking 1 h, 1 z, and 1 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 + 29 = -3*j - 5*s, -3*s + 7*s = 148 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -43\/7, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*w - 48 + 3*w**3 + 51*w - 26*w + 40 in the form s + b*w**3 + f*w + o*w**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6921626 to the power of 1\/2, to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1*sqrt(2)*-5 + 1)**2.\nAnswer: -8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:02 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 47441832*j + 281340927939528.\nAnswer: 2*(j + 11860458)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -571330*f**5 + 6*f**2 + 526*f + 5.\nAnswer: -34279800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 913. Let r(b) = 201111*b. Determine r(y(l)).\nAnswer: 201111*l - 183614343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -263.783*26.6\nAnswer: -7016.6278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69243997, 138487996, 207731995, 276975994, 346219993, 415463992?\n\"Answer: 69243999*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11*a**3 - a**2 - 18*a - 53. Calculate m(-3).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2. Let v(b) = 1131*b + 106. Let x(d) = 64469*d + 6095. Let h(g) = 115*v(g) - 2*x(g). What is r(h(z))?\nAnswer: 5080516*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832764072 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f**2. Let c(j) = -9*j**2. What is c(r(i))?\nAnswer: -576*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 630416968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1131 or -428993\/379?\nAnswer: -1131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*r = 1, -3*m + r + 0*r = -11. Suppose -2*u + 0*u + 18 = 0. Let y = u + -101\/11. What is the smallest value in -2\/3, y, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 25*b**3 + 8*b**2 - 3*b - 3. Let k(c) = 24*c**3 + 9*c**2 - 4*c - 4. Calculate 3*k(p) - 4*n(p).\nAnswer: -28*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -1\/7, 11, -10191 in decreasing order.\nAnswer: 11, 5, -1\/7, -1, -10191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-150)\/(-60)*12\/10. Suppose 1914004 = -2*s + 4*z + 16994020, -c*z - 7540012 = -s. Round s to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 68*v + 96*v - 1 - 2*v - 3*v + 4*v + (-2 + 4 - 4)*(3 - 2*v - 3).\nAnswer: 31*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**5 + 20906*n**4 - 2*n**2 + 694*n - 1 wrt n?\nAnswer: 60*n**2 + 501744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3857 is divided by 143?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 7. Let l(i) = -2*i + 34*i**2 + 34*i**2 + 2*i - 77*i**2. Calculate r(l(x)).\nAnswer: 243*x**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110a4 + -90b?\nAnswer: 10395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, z: 6, p: 1, f: 2, t: 2, j: 4}. What is prob of picking 1 f and 2 t?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3653 + 43 - 195 + 2809)*(4*s**2 + 9 - 9) as h*s + k*s**2 + l and give k.\nAnswer: 25240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + 63. Let w = i + -101.5. Round w to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 556, 813, 1072, 1333, 1596, 1861?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.35, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2\/9, 5, -2\/109?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*h - 45, 4*h + 2*f = 32 + 16. Suppose -2*m = m + 5*a - h, -m + 3*a - 19 = 0. Let u = -0.6 - -2.6. Sort u, -2\/9, m in descending order.\nAnswer: u, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-135) + 1624\/(-783).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/(-55))\/(-2 + (-541)\/(-270)). Is (-3 - (1 - 2))*(-97254)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 465570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 230.237981?\nAnswer: 226.237981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**2*m**3 + 5*a**2*m + 8*a**2 + 3*a*m**3 - 4*a + 15536*m**3 - 324*m**2 - 4*m wrt m?\nAnswer: 60*a**2 + 18*a + 93216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 1. Let a = 5 - 0. Let w(z) = 17*z + 1. Let c be w(1). Suppose 0 = 6*n - 3*n - c. Let b(o) = -4*o + 1. Give a*b(m) + n*x(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 625 - 311 + 4*n**2 - 377. Let q(y) = y + 0*y - 3*y. Determine s(q(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poooopjifibpipo. What is prob of picking 1 f, 1 b, and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrvrrv. What is prob of picking 2 v and 1 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 v when three letters picked without replacement from xxvvxvvv?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 11*p - 19. Give i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3326 and 19\/12?\nAnswer: 19956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1296 = 183*r + 33*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -33942, 3147 in descending order.\nAnswer: 3147, 1, -33942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - r - 124, 2*r = -2*x + 45 + 27. Suppose -41 + x = -3*d. Which is the second smallest value? (a) 2.2 (b) d (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.77 in 3\/8, 1, -2\/919?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47218 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-48))\/(12\/48).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -817*a**3 + 92*a**2 - 33*a - 6. Let f be g(17). What is f rounded to the nearest ten thousand?\nAnswer: -3990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 13 - 174 = -19*f. Let i(j) be the second derivative of 0 + 21\/20*j**5 + f*j**2 + 11*j + 0*j**4 + 0*j**3. Differentiate i(s) wrt s.\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 5*n - 2753 = 107. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -5.3978941\nAnswer: -2.15915764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 188064887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 83*v**2 + 23*v - 3. Let b(q) = 28*q**2 + 8*q - 1. Let u(j) = -17*b(j) + 6*y(j). Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*m**3 - 6*m - 47*m**2 - 7*m + 43*m**2 + 1 + 45*m**3 to the form j*m + l*m**3 + y*m**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 35*p - 248. Let u be g(10). Solve 5*k = -5*r - 25, -5*r + 2*r = u*k + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2 + 8 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*a - 9, -4*a + a = 3*n - 18. Let j(v) = 7 - 4 - 3 + n*v. Let g(k) = 2*k. Give g(j(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*g - 80, -2*z + 3*z - 3*g = 10. Suppose i = -4*t + z, -i + 5*i = 2*t - 32. What is the second derivative of 3*b - t*b + 7*b**4 + 0*b**4 wrt b?\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 31*k + 2. Let p(t) = -11*t**2 + 93*t - 6. What is 8*g(n) + 3*p(n)?\nAnswer: -n**2 + 31*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1199 + 4633. Is w a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26.1082 or 0.1?\nAnswer: -26.1082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 944746 + a**3 - 4*a - 944713 + 0*a - 10*a**2. Give x(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3445 = -113*d - 1640 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 18*t**2 + t - 19. Let w be d(18). Let p be (3\/5 + w)\/((-8)\/240). Suppose 9*y + 39 = p*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*n - 35 = 1, 2*c - 49 = -5*n. Let a(i) = 9*i + 1. Let o(v) = -26*v - 3. Calculate c*a(y) + 6*o(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 87*y**2\/2 + 5061*y\/4 - 13034.\nAnswer: (y - 8)*(y + 49)*(y + 133)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90b9 (base 12) to base 7.\nAnswer: -63516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in -2\/83, 8, -11, 0.02, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -6. Let m = q + 3. Factor -m*g**4 - 2*g**2 + 7*g**4 + 3*g**3 + 0*g**2 + 0*g**3.\nAnswer: g**2*(g + 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(108\/28*22876\/(-1032)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1333, 2672, 4007, 5338, 6665, 7988?\nAnswer: 9307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:57 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78581 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -4*l - 62. Suppose -5*u = -3*v - 96, -4*v + 28 = u - 5. Let k = l + u. Let a(o) = -o + 2. Give a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 10*c + 1. Determine m(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 24 - 14. Suppose 5*v = s*q - 35, 5*q + v + 1 - 6 = 0. Which is smaller: 2\/31 or q?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2 + 9*q + 7. Let i be a(7). Let g be 12\/10 + 45780\/(-525). Let j = i - g. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 - 0.64. Let i = -16\/3 + 17\/3. Let g = -0.059 + 1.059. Put g, i, l in decreasing order.\nAnswer: g, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2167 and 1379?\nAnswer: 15169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 7*b + 10. Let n(o) = -7*o**2 + 2*o - 3. Let c be n(1). Calculate r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {w: 11, s: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**3 - 25*d**2 + 20*d + 37. Let b(n) = -5*n**3 - 13*n**2 + 11*n + 18. Let p(y) = -7*b(y) + 4*k(y). Determine p(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460 or 2\/62255?\nAnswer: 2\/62255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*w + 4*c, -4*w + c - 20 = -2*c. Let o = -0.4 + -0.2. Let v = o - 4.4. What is the second smallest value in v, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -338*f**4 + 14274*f**3 + 3252*f**2 - 285736*f + 485520 = 0.\nAnswer: -5, 34\/13, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 17 = 4*g + 3*p, -3*g - 3*p = 9. Suppose 6 - 20 = -g*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f**(1\/9)*f)*f*(f*((f*f*f**(-4\/3))\/f)\/f)\/f*f**7*f**(5\/9)*f assuming f is positive.\nAnswer: f**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1\/2 (c) 8 (d) -1\/4 (e) 156 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Suppose 4*p - 4*z = -13 + 5, p - h*z - 1 = 0. Let r = 5 + p. Is 4\/7 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 2*h. Let s(n) = 3*n**2 - 2*n. Suppose 0*q = -5*q - 20. Calculate q*s(y) + 5*d(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(54\/3)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -3.06. Let s be 1475\/375 - 54\/15. Which is the nearest to 1\/3? (a) s (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19078590, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(14)\/(sqrt(16)\/(sqrt(64)\/sqrt(8))) - (sqrt(140) - sqrt(35))\/sqrt(5)*-1).\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 15. What is j(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 226*m**2 - 28. Calculate o(226).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -2 + ((-113)\/(-226))\/((-19)\/382)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21952 and 83\/332710.\nAnswer: 10646720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9288721 is divided by 73.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409475 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 - 50\/(-8). Let n be 3\/6*4 + -1. What is the tens digit of n + 78\/(s\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 983613117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1543, 3101, 4659, 6217, 7775?\nAnswer: 9333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32483936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.7. Let l = z + 0.3. Let w = l - 1.00008. Round w to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1102.99999453 - -1103. What is k rounded to 7 dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/154836 and -127\/4896.\nAnswer: 1238688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/24)\/(6\/14). Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.41\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14470220909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8709 - -35092. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**6*j*j\/((j**(-8\/3)*j*j)\/j)*j*(j**(-6))**(-1\/10))**(5\/9) assuming j is positive.\nAnswer: j**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-4))\/3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69197 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -65bb0a?\nAnswer: 65bb0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11813000 to the nearest 100000.\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 2. Let c be 25\/(-5)*(-9)\/5. Calculate the lowest common multiple of 1 and w(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12022 + 0?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6691673 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, -25, 3071, -4 in decreasing order.\nAnswer: 3071, 0, -1, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {l: 6, r: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147\/2 + 806\/11. Let y be 1\/(-7) + (-1110609)\/(-756). Let t = 1468 - y. Find the common denominator of t and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v*v**(-3\/2))\/v))))\/v)**11\/(v\/(v**33\/v)*v**41) assuming v is positive.\nAnswer: v**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 354\/42)*((-1)\/(-1))\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 - 8*j + 5. Let m be q(-9). Suppose 62 = 2*z + 5*w, 0*z + w = z - 38. Find the common denominator of m\/18 + (-346)\/z and -87\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -18, 3, 5, -106 in descending order.\nAnswer: 5, 3, 2, -1, -18, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - -1.91. Let f = -3 - -2.9. Let m = f - -1.1. Which is the nearest to -0.1? (a) -0.3 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -15.33. Let w = -3.67 + m. What is the second smallest value in 3\/4, w, 13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f\/(((((f*f\/(f**3*f)*f)\/f)\/f)\/f)\/f))**26)**(-3\/11) assuming f is positive.\nAnswer: f**(-936\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 3}. What is prob of sequence my?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 130 = -437. Let q = 65 - n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28093877 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5280209240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06913 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 15 = 3*d, 5*d = -179*i + 181*i - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**3 + 8*f**3 - 1 + 4*f**3 + 7*f**3.\nAnswer: -2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*h**4 + 24*f*h - 3*f + 78*h**4 + 2*h**3 wrt h.\nAnswer: 12*f*h**2 + 936*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**5 - 150*k**4 + 21324*k**3 - 458184*k**2 + 832320*k = 0.\nAnswer: -120, 0, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 57301712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*k + 30 = 0, -2*k = -0*z - z - 2. Let m(p) be the third derivative of p**5\/60 + 17*p**4\/24 + 5*p**3\/3 + 6*p**2. Let t be m(z). Sort 4, 3, t.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 130*f = -105*f - 3136 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-15) - (-12)\/2 - -311. Let h(t) = -t**3 + t + 4. Let m be h(-3). Let n = z - m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110*b**3 - 365*b**3 - 369*b**3 - 374*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4080 divided by -34.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 875 (base 14) to base 12\nAnswer: b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8174 - -8173. Which is smaller: c or 6\/3721?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 104*n**2 - n + 7. Let m(y) = 415*y**2 - 3*y + 26. Determine 3*m(z) - 11*p(z).\nAnswer: 101*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 4*b + 20. Let v be f(0). What is the smallest common multiple of 126 and 9*(-3)\/(-45) + 1308\/v?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-238)\/3 - (-4)\/(-6). Let w be 2*(-5)\/a*2*-4. What is the second smallest value in 2, -6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3680, -3673, -3662, -3647, -3628?\nAnswer: -3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2 - 4772990*l + 1139071677005 = 0. What is l?\nAnswer: 477299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 - 3*f - 4. Let s be l(3). Suppose z - 1 - 1 = 0. Let g(u) = -3*u + 8 + 2 + z*u + 0. What is g(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -15*b + 12*b. Let d be (b\/(-12))\/((-108)\/(-96)). Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 8:24 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -146 - -246?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -94742 = -94781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 10*i**2 + i - 6. Give p(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 108 + (-16 - -91 - 156)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*c - 19. Let b = 4 - c. Let m be 34\/(-8) + (b - -2). Put -2\/7, -3, m in decreasing order.\nAnswer: -2\/7, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2*h)\/(h\/(h\/(h**(-1\/6)\/h)*h)*h))\/((h\/(h*h**6\/h))\/(h\/(h*h**6\/h))))**43 assuming h is positive.\nAnswer: h**(1075\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/330650173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1. Let p(v) = -15*v + 15. Let m(r) = r**2 + 49*r + 583. Let a be m(-23). Give a*t(o) - p(o).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17700 and 470010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = 4. Let u be 4\/r*(-33 - 2). Suppose 3*n - u = 5*y, 3*n = 5*n - y - 21. Calculate the highest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.1286m in micrometers?\nAnswer: 777128600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by (-27646)\/(-506) - 4\/(-11)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5517?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12290375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13293625456117 + 1.\nAnswer: 13293625456118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-552)\/30) + (-2)\/5. Suppose -6*s + 12 = -t. Suppose 2*b - 42 = -s*b. Let c(z) = -20*z**2. Let l(r) = 5*r**2. What is b*c(g) + 25*l(g)?\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.467908 rounded to three decimal places?\nAnswer: -1.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1012)\/(-2530) + 68\/30?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1120\/3080 + 1038\/(-11)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 4*h**2 + 2*h + 1. Let a = -57 + 54. Let d be n(a). Suppose 7*z + 278 = 4*q + 5*z, 5*q + d*z - 315 = 0. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4961*w - 4989*w - 168 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000918598 to 6 dps.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmtxmmgggm. What is prob of sequence gtx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**2 - 3*c**2 + 2*c**2 + (-4*c + 2*c + 3*c)*(6*c - 3*c - 4*c) + 6*c - 6*c + 4*c**2 in the form b*c**2 + f*c + n and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 10. Let k = v - 4. Suppose -d = -n + 8, -k*n - d + 52 = -5. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/8 + 2383*b**2\/8 - 1435035*b\/8 + 18254925\/8.\nAnswer: -(b - 1185)**2*(b - 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.5 - 11. Let a = n - -2.5. Let d = a + -26.4. Round d to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -187*g - 1140 + 5*g**2 + 628*g - 255*g - 173*g - 173*g.\nAnswer: 5*(g - 38)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -15*w + 150 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.4*251.\nAnswer: -10893.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -9*v - 5*m - 11, -3*m + 19 = 2*v. Let g be -1*v\/20*(-2 + -718). What is the greatest common factor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10364 + 11648. Which is the smallest value? (a) -2 (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**5 - 714347*s**4 - 6*s**3 + 29902*s + 29 wrt s?\nAnswer: -20*s**3 - 8572164*s**2 - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssas. What is prob of picking 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4194, 0, -1, 6615 in decreasing order.\nAnswer: 6615, 0.4194, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -8?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 8*h - 4. Let u(r) = -14*r**2 - 23*r + 11. Suppose -357 - 435 = 72*p. Give p*f(s) - 4*u(s).\nAnswer: s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 45 - 101*d + 47*d - 152*d.\nAnswer: -206*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 11*k - 15. Suppose 45 = -3*z - 2*z. Does 54 divide u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17738*l**3*r**2 - 80*l**3 + 1141*l**2*r + l*r**2 wrt r?\nAnswer: -35476*l**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - (2 - -2 - (-3 - -3)). Calculate the highest common factor of 24 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 4*v**3 - 5*v**3)*(-6 + 3 + 1) + (4 + v**2 - 4)*(-5904*v + 6256*v - 7 + 6).\nAnswer: 354*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**3*t - 4*q**3 + 2*q**2 + 94*t wrt t?\nAnswer: -q**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27293 is divided by 265.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*i + 637 = 85*i - 663 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2448)*1)**2 + -5*(-3*sqrt(85))\/sqrt(5).\nAnswer: 15*sqrt(17) + 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*p - 5, -4*y + 49*p = 47*p. Let b(z) = -z**3 + 23*z**2 - 23*z + 22. Let o be b(22). Suppose o = 5*i - 2*i. Solve s + y = -i*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 77. Suppose -3*l - 21 = a, -p*l - 8 + 43 = -a. Let r(m) = m**2 + 20*m - 55. What is the hundreds digit of r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + (sqrt(120) - 1*1*sqrt(120)))\/((sqrt(90) + (sqrt(90) - -2*sqrt(90)))\/sqrt(9)))\/((sqrt(6) + sqrt(216)\/sqrt(4) + -4*-1*sqrt(6))*6).\nAnswer: sqrt(2)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70368.78ml to litres.\nAnswer: 70.36878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 5*v = -14*v + 22*v - 15, 2*b - 37 = -5*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-14) + 14\/(-4). Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**8\/1680 - p**5\/120 + p**3 + 5. Let b(h) be the third derivative of l(h). Find the second derivative of b(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/4 + (-4)\/(-16). Let x(r) = r - 3*r + d*r. Let v(a) = 2*a**2 + 3*a - 3. Let s(i) = -3*i**2 - 4*i + 4. Let p(h) = 3*s(h) + 4*v(h). Give p(x(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 7:10 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81997557650.796051 + 81958184787.796. Let o = 39372822 + u. Let r = o - -41. What is r rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = 3, 13 = 5*g - 3*o. Let u(c) = c**g - 2*c**2 + 2*c - 2*c. Let y(l) = 2*l. Calculate u(y(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**4\/4 + o**3 + o**2\/2 + 1. Let b be -1 + 30\/(-24) + 2\/8. Determine q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79233962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/8*q**4 - 729\/8*q + 0 + 675\/8*q**2 + 53\/8*q**3 = 0. Calculate q.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 12 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 48 = -44. What is the common denominator of 11\/4 and (6\/(-144))\/(c\/596)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 9 = 3*v, 7*n - 9 = 5*v + 8*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 16 - 5 + 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4656.75 + -4566. Round x to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 1 = -64. Calculate the lowest common multiple of v\/(-5 - 2)*(0 + 7) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/4)\/((-530)\/80*-1 - 8). Let q = 3 - 5. What is the second biggest value in -3, q, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333 + -334. Let u(s) = s**2 - s - 1. Let n(m) = m**2 - 3. Calculate w*n(y) + 3*u(y).\nAnswer: 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*f - 3*f - 5*x, -4*f = -x - 6. Sort 3, -2, f.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/80*(-315)\/(-63)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 4*f**3\/15 + 16*f**2\/5 + 64*f\/5 - 24. Factor g(n).\nAnswer: 4*(n + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8*z*z*z**(-10)*(z**0)**(-2\/103))**35)**4 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/14)\/i)\/(i*(i\/(i\/(i*(i*i\/i**(8\/3)*i)\/i)))\/i*i))\/(i**(-1\/4)*i*i**(3\/11)\/i*i))**(-2\/15) assuming i is positive.\nAnswer: i**(3167\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2\/3, -3, 0, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f - 1. Let k(v) = -2*v**3 + 8*v**2 - 4*v - 2. Let w(c) = k(c) + s(c). Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19964*a**2 + 9888*a**2 - 10980*a**2 + 4*a**3 + 1 - 39032*a**2.\nAnswer: 4*a**3 - 60088*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*m - 23, -3*m - 3*x - 17 - 1 = 0. Let d be (-13)\/5 + 2\/m. Let c = 7 - d. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*2\/24)\/(9 + 45\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6062283*w**3 - 36373656*w**2 - 54560295*w + 378.\nAnswer: -3*(w + 3)**2*(2020761*w - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*s - 2*g = 404*s - 8, g = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 22\/(-26) + 100\/26. Suppose 2*p - 4*o = -42, u*p = -3*o - o - 120. Let y = -25 - p. Solve b - y + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*a**3 + 311*a**3 - 186*a**3.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2. Suppose -11*i + 8*i = -63. Let z(h) = -36*h**2. What is i*l(s) - 4*z(s)?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*d*t**2 + 14422*a*d + 164*a*t**2 - 11*d*t**2 - 36*d*t + 2*d + 8*t**2 + 13*t wrt a?\nAnswer: d*t**2 + 14422*d + 164*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/((-4131)\/1326) + (-14035)\/539.\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/1207 (b) 7 (c) -1\/4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 - 1)*(-2 + 0 + 1) + 2 + 2 - 3 + 8 - 1 - 2)*(-10*j + 7 - 7)*(0 - 5 + 2) to the form l*j + i and give l.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*p + 3 - 6*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let u be 120\/(-385)*-11 - -6*1\/(-14). Put u, -1, s in descending order.\nAnswer: u, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 1011?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61 + 6ad7?\nAnswer: 6a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1426935237 and 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6055 (b) 2 (c) 0.4 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlvlllolhllulhy. Give prob of sequence oyuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1121 + -317. Let v = d - 412. Is (-2)\/(-6) + v\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68712792 to the power of 1\/2, to the nearest integer?\nAnswer: 8289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (sqrt(228) - 2*sqrt(228)*1) - -5*sqrt(228)*4)\/(-3*(2*(-2*sqrt(768) - sqrt(768) - sqrt(768) - sqrt(768)) - sqrt(768))).\nAnswer: 5*sqrt(19)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2. Let t(y) = y**2 + y. Let c(s) = -5*s**2 - 6*s. Let p(l) = -c(l) - 6*t(l). What is a(p(b))?\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 1. Let v(p) = -3*p**2 - 3*p + 2*p - 3*p + 7*p + 1. Let r = -29 + 30. Let o(g) = r*v(g) - 3*q(g). What is the derivative of o(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 29\/(2\/((-6)\/(-3))).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -563.1, -1\/5, 0.0779 in ascending order.\nAnswer: -563.1, -1\/5, 0.0779, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*w - 99 = -231*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 225714?\nAnswer: 11\/75238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 19*d - 72. Let m be s(11). What is the common denominator of 2\/m*(-648)\/(-14) and (202\/8)\/(1\/(-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 + 0 + -2 + 0. Suppose -7*o = -3*o - n. Solve -4*f - o*c = -7*f - 35, 0 = f + 5*c - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.46 - -9. Let z = -0.16 - d. Let m = -71 + 1063\/15. Which is the nearest to 2\/9? (a) 0.5 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*u + 21, -35 = -2*u - 3*u + 2*l. Suppose u = -5*h + 32. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239 - 167. Let m = q - 67. Solve 23*y + m = 24*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10*(-3 + -2). Suppose -3*i + 4 = -j. Let -2*a**2 + 0*a**2 + i*a + 0*a = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 6. Let h be 2*(-2 - r - -6). Solve 0 = -4*l + h, 2*i + 1 = l + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -35 - 4*s - 3*s**2 + 31 + 3. Calculate h(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17385 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/13, 3, -61, -113\/4.\nAnswer: -61, -113\/4, 2\/13, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/60 - 7*h**4\/24 + h**3\/6 + h**2. Let i be ((-5)\/3)\/((-1)\/(-3)). Calculate the remainder when 32 is divided by u(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - 846\/(-3) - (-42)\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(78)\/sqrt(294) - (0 + sqrt(13) + (sqrt(13)*-5)**2) - (4 + sqrt(78)\/(sqrt(6) - -4*sqrt(24))).\nAnswer: -329 + 2*sqrt(13)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 + 15\/2. Let w = 11 - l. Solve 5*z = w*x, 0 = x - 0*x - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543 a factor of 3950866209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4074*u - 2191810. Determine a(-538).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -3*l**6\/40 - 25*l**5\/12 + 1783*l**4\/12 + 5664*l**2. What is the second derivative of m(f) wrt f?\nAnswer: -54*f - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (149565\/(-53690))\/((-3)\/(-56))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -238\nAnswer: 103\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261591 or 259482?\nAnswer: 261591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -5*r**8\/336 - r**7\/6 - 7*r**6\/12 - r**5\/6 + 25*r**4\/8 + 15*r**3\/2 + 96*r**2. Let v(i) = 0. What is i?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64581763 + 64581763 - 20661*k**3)*(k - 5*k + 0*k) as x*k**4 + u*k**3 + l*k + r*k**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*z = 17, -15 + 39 = 4*a - 5*z. Put -21, -1, a in ascending order.\nAnswer: -21, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*i = 191*i + 4. Which is the closest to 1? (a) -3 (b) i (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50872944*g**3 - 125416026?\nAnswer: 152618832*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o**3 + 3*o**2 + 3. Let s(a) = -a**2. Let y(z) = -3*s(z) - t(z). Differentiate y(u) with respect to u.\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1687721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4155910403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 292.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2879373324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.24784 grams in micrograms?\nAnswer: 55247840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1802*j - 1754*j + 142055 = 2021*j + 660716 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 6*m - 72 - m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22, -1, -0.03, 265\/173?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + 0 + sqrt(99) + -2)**2 + 4 + (-2*(0 + sqrt(99)) - sqrt(99)))*6 + 5)*-6.\nAnswer: -4062 - 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 455*j**2. Let n(k) be the second derivative of k**4\/12 + 387*k. Determine n(m(z)).\nAnswer: 207025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.092, 3, -2, 5 in decreasing order.\nAnswer: 5, 3, -0.092, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/39 (b) -4 (c) 4\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 5519898?\nAnswer: -5519894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(31*(-213)\/57226).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18333 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12373774*m*u**2 - 7*u**2 + 4978*u - 8 wrt m?\nAnswer: -12373774*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 29 - 11*a to the form c*a + w and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192171348 by -207.\nAnswer: -928364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -4 - (-1 + 4 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.21854, -0.2, 0.4?\nAnswer: 0.21854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199339*y**2 + 2531*y**2 + 161205*y**2 + 13432*y**2.\nAnswer: 376507*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1824 = f, -h - 4*f = -56 - 565. Let v = -600 + h. Sort 4, 0, v, -8 in decreasing order.\nAnswer: v, 4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8883, 1485, -10845, -28107, -50301, -77427?\n\"Answer: -2466*z**2 + 11349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-38)*w\/w**(-35)*(w\/w**(-6\/17))\/(w**25*w) assuming w is positive.\nAnswer: w**(-453\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**2\/2 + 2*l + 1. Let m be f(3). Let z(p) = -4*p**3 - p - 1. Calculate the smallest common multiple of 6 and z(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -4*h**2 + 0*h**3 + 0*h**4 - 1\/30*h**6 + 0*h - 1\/60*h**5 + 0. What is the third derivative of c(m) wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -156, 156\/5 in decreasing order.\nAnswer: 156\/5, 10, -3, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8333.\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - k - 6, -4*s + k = -0*s + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let q(n) = -1. Give q(a) + z(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -453 + 450. Sort 3, 82, k.\nAnswer: k, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 0.05 (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)*r**(1\/6))**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(114) + sqrt(114)*3*-1))\/((sqrt(30) - (sqrt(30) - 3*sqrt(1470)))\/sqrt(5)).\nAnswer: -2*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908 is divided by 253.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(15)\/sqrt(3) + sqrt(5))*2.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 4. Let l be j(-5). Let p be l - (1 + 1 + -6). Let b be ((-3)\/(9\/(-105)))\/1. What is the greatest common factor of p and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 7. Let u be r(-5). Suppose -13*k + 11*k = 18*k - 80. Put k, u, -3, -2 in ascending order.\nAnswer: -3, -2, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -109?\nAnswer: -58\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-14))\/((-24)\/64) - 2610\/406.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/4494)\/(24744\/36191478060). Let b = i - -4\/110317. Let p = 2611 + b. Find the common denominator of -55\/7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + ((sqrt(72)*-3 - sqrt(72)) + sqrt(72) - sqrt(72)) + sqrt(72) + -5 + 3)**2 - (sqrt(72) + (sqrt(72)*1)**2 + 5)*6.\nAnswer: -170 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14097671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 5. Let p = n + 3.4. Let d be (4\/(-8))\/(-1)*0. Which is the nearest to d? (a) 0.3 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 575.2 * 0.3.\nAnswer: 172.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 1\/4, -4\/7, -1.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -334 - 128137a?\nAnswer: -1281703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (14 + -5 + -5 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/130 + 14640414\/39 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 55\/15)\/(2\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14348 and 33338.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*k + 23 - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4979335, -9958674, -14938013, -19917352, -24896691, -29876030?\n\"Answer: -4979339*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200222320320 (base 4) to base 15.\nAnswer: b42870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560352, -560297, -560242, -560187, -560132?\nAnswer: -560077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:19 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxehzxumzuhuzx. Give prob of picking 2 x.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -49504*b - 37771550. Calculate c(-763).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from kkkkpykyqpqppky?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-3) - 1\/3*-2. Suppose 2*a - y*w = -22 + 86, 0 = -3*a + 3*w + 96. Calculate the greatest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1446798962?\nAnswer: 2, 7, 103342783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19142087 and 904.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -58. Let g be 1 + m\/2 - 18\/(-12). Let t be 15\/40 + ((-3)\/g)\/(-3). What is the fourth biggest value in -3, t, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*t + 697 + 1998, -i + 1340 = -3*t. Let l = 2444 - i. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 16) to base 15.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*x + 1602 + 2099 = -61 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -34. Suppose 2*w + 0 + 6 = 0, -5*g - 5*w = 5. Let c = g + -3. Is c less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6136807, 24547214, 55231225, 98188840, 153420059, 220924882, 300703309?\nAnswer: 392755340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -9227584.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 546\/28*(-3)\/(9\/(-6680))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdyhgyydyyhfghyf. What is prob of sequence yg?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) -2\/9 (b) 0.9 (c) 4\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-56)\/(-24))\/(105\/30))\/(4\/(-126)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) -2\/9 (c) 1.2 (d) -0.42 (e) 13 (f) -0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 128?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874 a factor of 54531569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387536530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -307573, -306950, -305913, -304462, -302597, -300318, -297625?\n\"Answer: 207*r**2 + 2*r - 307782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 23 + 94250\/3*g**3 + 1\/2*g**2 - 2*g. Let p be z(2). What is p rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*u = 134*u - l + 40, -3*l + 50 = 5*u. What is the least common multiple of u and 300?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.9 + -12.4. Put 1, -5\/2, u in ascending order.\nAnswer: -5\/2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/58 and -29\/2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 887401971 + -9.\nAnswer: 887401962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(-1\/6)))\/o)\/o*o**(-8\/7)*o)**(-11\/5)*((o\/(o**1*o))\/o)**(7\/5)*(o*o\/o**3*o*o)\/(o**7\/o) assuming o is positive.\nAnswer: o**(-571\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33512 and 1298.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62984491 to the power of 1\/2, to the nearest integer?\nAnswer: 7936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 4*s - 2*s)*(-8 - 21 - 6) - 6*s + 3*s + s as r + o*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose 3*u + q = 25, 4 + 2 = -3*q. Suppose x - u = -i*x. Solve 8*o - x*o = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -24)*92\/552. Solve 0*k - 5*t = 3*k + 6, -2*t - 18 = -v*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvffl. Give prob of picking 1 f and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13167 and 33817707?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -71*u**3 - 3*u + 86. Let c(m) = -69*m**3 - 4*m + 86. Let j(l) = 4*b(l) - 3*c(l). Find the first derivative of j(d) wrt d.\nAnswer: -231*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -62*g - 2. Let b(z) = -z. Let v be 3*(-4)\/(-6)*(-24)\/16. Let n(u) = v*b(u) + i(u). Is n(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 3*t)*(12519 + 13555 - 16268).\nAnswer: -9806*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 13\/108*q**4 + 4\/9*q**3 - 6*q**2 + 1\/270*q**5 + 0*q + 0. Suppose x(c) = 0. What is c?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from {e: 2, f: 1, n: 4, p: 3, l: 1, b: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-24)\/(-64020))\/(46\/253)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 11:02 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/280 and 81\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 4a866836?\nAnswer: -4a866834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 50271*v**2\/4 + 301653*v\/4 + 452493\/4.\nAnswer: -(v - 50277)*(v + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29189*z**2 - 8566*z + 3?\nAnswer: -58378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**6\/300 - r**5\/50 + r**4\/20 - r**3\/15 - 2*r**2 + 2. Let b(y) be the second derivative of i(y). Factor b(v).\nAnswer: 2*(v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 0.6. Let n = -1.4 + t. Let y = 5 - 8. What is the nearest to 2\/7 in 5, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56437*x + 70 = 56435*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/3624*((-234)\/52 - (-7)\/(21\/9))?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -607a (base 13) in base 15?\nAnswer: -3e08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 6*t**2 - 4*t + 3*t.\nAnswer: 6*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.487941 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, 0.1, -1.4 in increasing order.\nAnswer: -1.4, 0.1, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Suppose 0 = f*y + 15, s - 25 = -3*y - 10. Let h = -3 + 6. What is the highest common divisor of h and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*f + 14*f - 130*f = -6400 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 186a + 124?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -5.05. Let r = -0.6 - -2.6. Let l = m + r. Sort l, -0.2, 3\/4 in decreasing order.\nAnswer: 3\/4, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h. Let a = 5 + -1. Let q(y) = a*y - y + 8 - 8. Give q(c(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 9*x + 8. Calculate l(-9).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*7\/28*-5 - 592. Sort i, 3, 2.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 16, -5, -2, -3, -0.2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (sqrt(252)\/(-2*sqrt(7) - sqrt(7)))\/(sqrt(12) + (sqrt(12) - 1*sqrt(1200))) + -2.\nAnswer: sqrt(3)\/24 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -3*g**5\/5 - 19*g**4\/6 - 8*g. What is the third derivative of v(q) wrt q?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 229\/30 in -5, 0.051, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28\/70)\/((-2)\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572594209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 3*s**6\/20 - 11*s**5\/30 + s**2. Find the third derivative of x(i) wrt i.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2*m + 2. Let f be a(-2). Suppose 0*q = -q + f. Suppose 4*n = q*n. Solve -4*y + 1 - 21 = 0, n = -5*w - 3*y + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + s - 2*s - 79 = 0, 0 = -3*s - 15. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46116 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i + 107*i = 52*i - 3*g + 48 - 16, 0 = 3*i - g + 27 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-39) - (1 + 2)\/((-7059)\/63893)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -894, -1328?\nAnswer: -1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5163*d**3*o + d**2*o - 2*d**2 + 80*d*o wrt d.\nAnswer: -30978*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 2 + 2)*(-8 + 6 + 0) + 4*m - 3 + 3 + (1 + 2 - 2)*(-1 + m + 1) to the form v*m + z and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = -130*o - 45*o + 225848. Calculate the remainder when o is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*t = -7*b + 112, -4*b + 5*t + 112 = 0. Let u = b + -34. Let j(z) = z**2 + 7*z + 8. Give j(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*p + 17609, -11 + 6 = -p. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58\/57 + -3323\/2052. Find the common denominator of q and 131\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -266495?\nAnswer: 266500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1292 divided by -504\nAnswer: -323\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2027 = -4*f + 60*f - 2195. Let m(g) = g**3 - 4*g**2 - 4*g - 4. Let h be m(5). Let i be -1 + (7 - (1 + 1)). Solve -f*p + h = -i*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18570 and 1233.\nAnswer: 7632270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -29, -33, -19, 19, 87, 191?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(98) - 1*sqrt(98))\/sqrt(2))\/sqrt(7) + 0 + -3 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 670279 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 391, 1555, 3495, 6211, 9703, 13971, 19015?\n\"Answer: 388*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 4. Let o be p(5). Let u(i) = 0 + 4*i - 4 - o*i. Let j(w) = w + 1. What is 4*j(x) + u(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 + 13*d - 2. Let k(l) = -2*l**2 + 6*l - 1. Calculate -7*k(s) + 3*o(s).\nAnswer: -s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.54 - 1.5273. Round w to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - g = 4*g - 119, -4*l + 253 = -5*g. Let p = 181 - 187. Let q = p + l. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 113952\nAnswer: -5\/113952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39786 and 1417747586?\nAnswer: 13262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 3*h + 4. Let s be i(-2). Solve 3*m - 5*m = s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Let x(u) = 3*u + 21. Let n be x(-6). Find z such that -4*z + 6*z**3 - n*z**5 + 2*z**5 + 0*z**3 + 2*z**i - 2*z**2 - z**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 5 (b) 1 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67679 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 7, f: 4, o: 6, t: 1}. Give prob of sequence ot.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1329856 != -1329314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4538.4998 + -4538. Let u = n - -1.5992. Let r = -0.099 + u. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2551*g**2 - 1262*g**2 - 1283*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 441843329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/15 - 17*i**4\/6 + 12*i**3 - 245*i**2. Factor k(h).\nAnswer: -4*(h - 1)*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*u - 2568 = 0, u = 2*u + 4. Suppose -x = 14*g - 22*g. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = -5. Suppose -i + 80 = 4*u - l, 63 = i - 2*u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 12. Let p = 55 + a. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - 1*sqrt(144) - sqrt(4))\/sqrt(2))**2*5 - -3*(sqrt(72) + 0)*5.\nAnswer: 10 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g + 150 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 29*o**4\/24 + 5*o**3 - 90*o**2. What is the derivative of d(k) wrt k?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26578349?\nAnswer: 7, 3796907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144782*d**3*m - 7*d**3 + 4271*d wrt m?\nAnswer: -144782*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - -18 - -2 - 4. Suppose 0 = 5*d - 25, 0*z + 18 = z + 3*d. Solve -j - v = 4*p - z, -15 = 2*j + 3*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2607255, 10429026, 23465313, 41716116?\n\"Answer: 2607258*i**2 - 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y + 2. Let s(z) = -1146432*z. Determine s(u(c)).\nAnswer: -8025024*c - 2292864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -32\/5239 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50643 = 55*o - 10022. Is o greater than 3310\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, e: 2, n: 1, r: 1, q: 3, x: 8}. What is prob of picking 1 x and 1 l?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -21. Suppose -2 = -3*v + 4*g + 13, 6 = -3*v - 3*g. What is the lowest common multiple of 16\/v - (-1 + (-3 - -8)) and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoeeejo. What is prob of sequence ej?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -379 and -32?\nAnswer: 12128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.63129 millilitres in litres?\nAnswer: 0.07463129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 88 - 317. Let a = -58 - g. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -4 + (10 - (7 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206761153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -5, -1\/3, 7, -49, 31?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 22. Let t be i + -4*1\/2. What is the third derivative of -y - t*y**2 - 12*y**4 + y - 16*y**2 wrt y?\nAnswer: -288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 11. Suppose -i - 5*v = -3*i - 11, -i - 7 = -k*v. Solve -2*z + 2*m = -3*z + 1, 3 = 3*z + i*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 235307673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -9*1 - -15*(-168)\/(-120) and 1142?\nAnswer: 6852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 7*d**2 - d - 6. Let i be p(-7). Suppose -3*a + 35 = 5*n, 0 = 5*a + 5*n + i - 56. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 31 - (-505 + 490).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3 - 8*t + 4*t - 9*t - 2*t**2 - 6*t. Let a be o(-9). Let y = a - 0. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -311223001301?\nAnswer: -311223001231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197261163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -5.03. Let n(g) = g**3 + 4*g**2 - 7*g - 6. Let f be n(-5). Put f, -2, q in ascending order.\nAnswer: q, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 206 in -0.17, -0.19, -22?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 251. Let y be k(0). Suppose 2*w + y = 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 18152490.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 4*a - 1 + 2*a - 3. Let f be r(5). Does 12 divide 23 + f + -1 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8723 plus -0.1331748?\nAnswer: -1.0054748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1573) + sqrt(1573) + (sqrt(208) + 3)**2.\nAnswer: 46*sqrt(13) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2))\/(44\/(-8)). Let l = -484 - -495. Which is the closest to 1? (a) -0.2 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -61*c**8\/56 - 29*c**4\/6 - 75*c. What is the third derivative of s(l) wrt l?\nAnswer: -7320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/475)\/((-4)\/(-50))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27641570 and 27641570?\nAnswer: 27641570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2079 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492838241?\nAnswer: 3, 497612747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**3 - 2*d**2 + 3*d. Let h be u(2). Suppose -j - 3*f = 43, -3*f = 5*j + 125 + h. Let y = 48 + j. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/6*(-84)\/350. Which is the closest to x? (a) -1 (b) -0.5 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 37 + 9 - 16 = 0. What is the greatest common factor of p and 7695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3533813 > -3533810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168.3959993 + -168.516. Let w = s - -0.12. Round w to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4353 (base 8) to base 11.\nAnswer: -1796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4837*t - 4909567. Determine f(1015).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:41 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -2*j**2 - 4*j + 2. Let y(t) = 11*t + 6 + 2*t - 14*t + 7*t. Let k = 13 + -6. What is k*g(r) + 5*y(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 21*w - 60. Let j be t(24). Let h be 0 + 9 + (1 - 2). Suppose -j*m = -h*m - 588. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*x + 1154*x - 2325*x - 25.\nAnswer: x - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2436281 (base 11) to base 15\nAnswer: -58b27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 25*b - 19. Let j be x(4). Calculate the highest common factor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 16, z: 4}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/574 and (-492)\/10086*(-58)\/18.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18747 from -444.794864.\nAnswer: 18302.205136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 0 (c) -3 (d) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 9 in descending order.\nAnswer: 9, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -83, -186, -297, -416, -543, -678?\n\"Answer: -4*b**2 - 91*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/21 and ((-2)\/3 + 1)\/(33\/(-451)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 + 12400*d**3 - 184870*d**2 - 12400*d + 184875 = 0. What is d?\nAnswer: -1, 1, 15, 2465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 28, -3, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 25*t**2 + 61*t + 173. List the prime factors of i(-14).\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 41, -49, -8, 4 in decreasing order.\nAnswer: 41, 4, 2, -3, -8, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 20*i**5 - 895*i**4 - 2125*i**3 + 425*i**2 + 2105*i + 470 = 0.\nAnswer: -2, -1, -1\/4, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-16))\/(p*p**29*p) assuming p is positive.\nAnswer: p**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2 + 5*n - 5. Let z(q) = -17*q**2 + 16*q - 16. Let j(g) = 7*r(g) - 2*z(g). Let x(m) = -15*m**2 + 5*m - 5. Determine 5*j(d) - 3*x(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, v: 2, b: 2}. What is prob of sequence vw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153\/532 + -11\/28. Let l(i) = -12 - 3*i**2 + 2*i**2 + 4*i + 0*i**2 + 5*i. Let q be l(8). What is the second biggest value in -2\/3, q, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -27. Let h be 1\/l*(-2 + 2). Solve h*f - 25 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.19 - 5. Let j = -1.19 + b. Let p = -3 - -2. What is the nearest to j in -2, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692922 is divided by 889?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 + 1)*2 + (-364)\/(-39))*1032\/1892?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = 0, -6*a + 3322 = -3*a - 4*t. Suppose 0 = -3*s - 5*o + 815, -o = 4*s - 4*o - a. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10906 - -74230.\nAnswer: 63324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 - 6*y + 9. Let o be u(6). Suppose 9*w = -106 + 628. Let q = 58 - w. Solve -z = 2*f + 2*z - 2, q = f - z + o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.092499363+7\nAnswer: 5.907500637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216187 and 2703?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 260 = 85 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7997967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4199, 8399, 12599, 16799, 20999, 25199?\n\"Answer: 4200*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -102*q + 21910. What is c(215)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2002003102 - 2?\nAnswer: -2002003104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x. Let d(y) = 32190*y**2 + 1479*y + 2958. Let t(p) = -87*p**2 - 4*p - 8. Let m(w) = 4*d(w) + 1479*t(w). Give u(m(r)).\nAnswer: -174*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) 2 (c) -0.5 (d) -0.11 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12296347?\nAnswer: 7, 983, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*w - 648*w + 3060 = 0 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 bigger than 290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/8, -0.1.\nAnswer: -5, -0.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*n - 7, -n + 2*n + 3 = -5*y. Let s = -1186\/69 - -426\/23. Determine z so that -7\/3*z**n - s + 16\/3*z = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 6*s + 5*s)*(-3*s - 2 + 2).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70937843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11924246 to the nearest integer?\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9693, 10893, 12093?\nAnswer: 13293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 2*q**2 - 2*q**2 + (-2 + 2 + 2*q)*(-q - q + 4*q) - 3*q**2 + 2 - 2 as h*q**2 + i + s*q and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 193*p**5\/120 - 11*p**4\/6 - 191*p**3\/3 + 165. Let u(b) be the third derivative of l(b). Differentiate u(g) wrt g.\nAnswer: 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 9*p + 9. Let l(f) = -3*f**2 + 5*f - 5. Let k(x) = 5*h(x) + 9*l(x). Let a(m) = 21*m + 16*m - 2*m - 6*m - 8*m. What is k(a(n))?\nAnswer: 1323*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*f + 691 - 2755 = 0, 4*h - 1650 = 3*f. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 4*m + m. Suppose -2*q = -i + 3 - 17, 38 = 5*q - i. Calculate the remainder when m is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011056473 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 0 + 1 - a**3 + 3*a**2. Let d be s(7). Is d != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4, 5*w + 2*v = 8*w - 85. Solve 3*q + 12 - w = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 33*m**2 + 2*m + 23. Give f(33).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 5*y**2 + 2*y. Let a be (-452)\/226 - (-4 - 1). Let h(u) = 4*u**2 + u. Calculate a*h(v) - 2*f(v).\nAnswer: 2*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r**9*r*r\/r**(-11\/2)*r assuming r is positive.\nAnswer: r**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 3*a**2 + a - 2. Let f = -16 - -14. Let i be g(f). Solve -5*p + z - 15 = -i*p, 0 = 5*p + 3*z + 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35600)\/(-4361))\/100)\/(32\/(-28)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4089 + 4140. Solve -19*i - s = -70 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:30 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 939990, 2, 8\/3, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73295 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29554575541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 2*v**2 + 11)*(-27213*v + 13608*v + 13604*v + 2370)*(4*v**2 - 5*v**2 + 2*v**2).\nAnswer: -2*v**5 + 4740*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {r: 1, v: 8, z: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2223 - -2231. Is c greater than or equal to -48\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -84. Suppose z*w - 5*l - 192 = 12, l = -2*w + 216. Let t = -97 + w. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = p, -4*g - 3*p - 10 + 11 = 0. Put -6, g, -1, -3 in increasing order.\nAnswer: -6, -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 + 2)*(-8 - 121 - 17) - 1 - 2 + 4)*(-1 + j + 1) to x*j + w and give x.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (14\/6)\/((-119)\/(-1938))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(14\/8))\/((-11)\/(10 + 1)). Let j(r) be the first derivative of -r**2 - 2 + 5\/3*r**3 + 1\/4*r**m + 0*r. What is j(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15051 in 0.2, 18, 0.5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1070 and 420295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.634 - -2.49. Let u = s - 0.124. Which is the second smallest value? (a) 3 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y + 5 + 11 = 36*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18536 - -27176. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {g: 4, t: 4, e: 3, j: 7}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - -0.13. Which is the nearest to z? (a) 0.07 (b) -0.1 (c) -0.4 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/7 + 390*j\/7 - 1188\/7 = 0?\nAnswer: -198, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405)*1 + 4)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*k + 248 = 0, 5*k = 4*g + 3*k + 504. Let v(u) = -u + 1. Let a be v(6). Let j be g\/a + (-4)\/10. Solve -2*s + 7*s + j = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4508387 and 482?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/45 + (-34970)\/117 + 2*-1. Let a(f) = 48*f + 5. Let h(r) = -2881*r - 301. What is k*a(n) - 5*h(n)?\nAnswer: -43*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82130669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l + 54*l + 38*l.\nAnswer: 99*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, r: 3, c: 4, h: 2}. What is prob of picking 3 r?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r. Let k(a) be the second derivative of -a**6\/360 + a**3\/3 - a. Let y(l) be the second derivative of k(l). Give y(p(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 14 = -3*t - i, 2*t - 642 = -212*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.085 and 1.8914.\nAnswer: 0.160769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + 0*w)*(4*w**2 + 4*w - 4*w) + (-2*w - 12 + 15 - 12)*(-w**2 - 4*w**2 + 2*w**2).\nAnswer: 10*w**3 + 27*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 401?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + -1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-9)\/3)\/3. Let x(g) = 35*g**2 - 1. What is the units digit of x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3755198*h**2 + 4585761 wrt h?\nAnswer: -7510396*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:55 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251002, 1, -1\/12 in decreasing order.\nAnswer: 251002, 1, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(4\/3))\/(c*(c**8*c)\/c))**(3\/5))**46 assuming c is positive.\nAnswer: c**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2338 = 4*w + 4*d, -5*d = 4*w + 2322. Let s = w + -11817. What is s rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**2 + 9*l + 115. Let v be b(10). Let g(u) = 4*u**2 - 13*u - 11. Let d be g(v). Solve -3*i + i - s = 2, 4*i = 5*s + d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210.677 - -209.5. Let s = -0.177 - m. Which is the fourth biggest value? (a) 2 (b) s (c) -1\/16 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vprdb. What is prob of picking 1 b, 1 v, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 40, -2\/11, -44, -2\/17, -3, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + sqrt(68) + (sqrt(68)*2 + sqrt(68) + sqrt(68))*-2)*6)\/((sqrt(16) - (3*sqrt(176))\/sqrt(11))\/sqrt(4)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -1369*d**6\/9 - 11248*d**5\/15 - 4703*d**4\/6 - 920*d**3\/9 - 4*d**2 + 5. Find w, given that g(w) = 0.\nAnswer: -3, -1, -2\/37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0.3, 4\/7, -6\/23 in descending order.\nAnswer: 21, 4\/7, 0.3, -6\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/8 - (-6)\/(-24). Let p = 3 + -2. Sort n, -2\/7, p in descending order.\nAnswer: p, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, o: 2, c: 7}. What is prob of picking 1 c, 1 u, and 1 o?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5.8+-0.06398\nAnswer: 5.73602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 20 = -0*n. Let b = 8 + n. Let t be 2\/4*-1*0. Put 5, t, b in descending order.\nAnswer: 5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 541756192 divided by -1\nAnswer: -541756192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**4 - 3167*f**3 + 2*f**2 + 588947*f?\nAnswer: 60*f**2 - 19002*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/65958 and -59\/241846?\nAnswer: 725538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/3 - 62*v**3 + 184*v**2\/3 = 0?\nAnswer: 0, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -42\/13 (c) 2 (d) 3\/4 (e) 3\/7 (f) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8583 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owk when three letters picked without replacement from kkwwwwwkwwwwokoowwww.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623227697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/(-6)*12\/(-4050)*-45.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -q + 18, 0 = 3*p + 4*q - 14 - 13. Solve -5*k = -k + 5*m + 21, -p*k + 5*m - 15 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-2*f + 2*f - f)*(6*f**2 + 9 - f**2 - 13).\nAnswer: -10*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*t = 691*t + 117 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9) + (-2)\/6. Suppose -5*a = 0, x + 1 = a - d. Let c be (-2)\/(8 + 1\/1). Sort 2, c, x.\nAnswer: x, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16\/293 - -2125\/9376. Calculate the common denominator of 2 + (159\/(-108))\/1 and u.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 58. What is the tens digit of ((-4)\/j)\/((-7)\/(-420))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527 is divided by 625?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 491*f - 246. What is the hundreds digit of z(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17074*o + 17075*o + 26 = -4*l, 5*o + 18 = -4*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3520)*-2 + (sqrt(55) - sqrt(220)\/sqrt(64)))\/(1*sqrt(44) + (sqrt(1331) - -1*sqrt(1331))) + 5)**2.\nAnswer: -61*sqrt(5)\/48 + 27821\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -0.4, -30, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1437522 * -0.31\nAnswer: -445631.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -273, -985, -2381, -4689?\nAnswer: -8137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 866250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 15. Let g be d(5). Let i(y) = 7*y**2 + 3. Let n(u) = 4*u**2 + 1. Let v(w) = 3*i(w) - 5*n(w). What are the prime factors of v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 42 - 13)*(0*i**2 + 3*i**2 - 2*i**3 - i**2).\nAnswer: -130*i**3 + 130*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 8982?\nAnswer: 897b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*q = -1849716 + 1490319 for q.\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*b + 1172, -30 = -55*b + 50*b. Calculate the highest common factor of 1885 and a.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-7 - (5 + -11))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfm when three letters picked without replacement from fwfjmjcam?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 - 5*a - 2. Let l be u(-3). What is the remainder when 1\/l - 124\/(-16) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 + 0 = 0, -a - n - 6 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:46 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.037 - 0.037065. Round k to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 168*v**4 - 1428*v**3 + 4000*v**2 - 4398*v + 1656 = 0.\nAnswer: -92, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/6 + 22\/33. Suppose 4*u + 351 = 3*h, -4*u + x*u = 0. Suppose 6*a - 3*a = h. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/78 and -49\/33.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 82, 17\/4 in decreasing order.\nAnswer: 82, 17\/4, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31392736 to the power of 1\/2, to the nearest integer?\nAnswer: 5603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - y = -20, -2*s - 3*y - 55 = -4*s. Calculate the greatest common factor of s and 1679.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.3 and 4.\nAnswer: 117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-9)\/3 + 2. Let j = 2 + a. Suppose j = -2*y + 4, 4*m - 22 = -y - 0. Let l(t) = -t + 2. Give l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, a: 1, u: 1, s: 1}. Give prob of picking 1 s, 1 a, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/(-52)) + (-25613)\/3659?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/7840 and 43\/74088?\nAnswer: 1481760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 8*v - 10. Let s be u(-5). Let y = 4 + -4. Suppose -8*f + 3*f + 10 = y. Solve 5*d + f*w = -6 - 4, s*w = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*g + 0)*(2*g - 4 + 4) - 35*g**2 - 39*g**2 + g - 2 + 75*g**2.\nAnswer: -5*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 608.7 + -581.694. Let l = -26.931 - 0.069. Let w = l + x. Round w to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*y**2 - 95*y - 89*y + 185*y to q + l*y**2 + s*y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12219 - 5462. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2471381\/148 greater than -16699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.104 - 240.\nAnswer: -239.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4*6\/(-140))\/((-408)\/(-30)). Is g >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 10*y - 7. Suppose 0 = 2*s + 3*q - 12, -2*s = s + 4*q - 19. Let n be b(s). Let x(l) = 0*l**3 - 3*l**3 + n + 2*l**2 - 3*l + 4*l**3. Give x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/4)\/j)\/j**(-6))\/(j*((j\/(j\/(j\/(j\/((j\/(j**(-1\/4)*j*j*j))\/j)))*j))\/j)\/j)**46 assuming j is positive.\nAnswer: j**(897\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let u = v - 5. Differentiate u*t - 1 + 3 + 4*t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**3 - 42*u**3 - 26*u**3 - 42*u**3 + 160*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v. Let x(i) = 13*i + 5*i - 4 + 4 - 2*i**2. Calculate x(s(z)).\nAnswer: -8*z**2 - 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 2*h**3 - 3*h**4 + 2*h**4 + (-4 + 7 + 1)*(-18*h - 23*h**4 + 18*h).\nAnswer: -95*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4 - 4 + h + 8*h. Let x(w) = 2*w**2. Give r(x(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 25 = 0, -3*a - 127 = -7*a + l. Let y = a + -22. Suppose 2*i - 6 = 2. What is the remainder when y is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22148349 + -0.07148265. Let v = -0.15 + s. What is v rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbkj when four letters picked without replacement from hbjgjbojjjjbkjjbj.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u. Let o(n) = -7*n**2 - 6*n + 1. Let s(g) = 6*g**2 + 4*g - 1. Let f(p) = -3*o(p) - 4*s(p). What is -f(a) + 2*l(a)?\nAnswer: 5*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:29 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202407 is divided by 4901.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/11368 and 131\/980.\nAnswer: 56840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3062*x**2 - 3*x + 2. Let u be c(1). Suppose -j - 29139 = u. Round j to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o)**(-2\/25)*(o**(-2))**40 assuming o is positive.\nAnswer: o**(-2002\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 59b8 (base 16) to base 11\nAnswer: 16290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-119)*(-7)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*h**5 - 10684*h + 2*h**3 + 10691*h + 3 - 5 + (0*h**5 - h**5 + 3*h**5)*(2 - 1 + 0).\nAnswer: 62*h**5 + 2*h**3 + 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*l + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = 3*t - 7*w, -3*w + 42 = 3*t. Calculate the remainder when 103 is divided by (-460)\/(-207) + (-2)\/t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1. Let c(t) = -t - 2. Let i(w) = c(w) - u(w). What is the remainder when i(-8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 35*m**2 - 42. Let x(w) = -w**2 + 1. Let a be 15\/(-21) - ((-36)\/(-28) + -1). Give a*l(n) - 42*x(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 5*o + 2*o)*(-2*o**3 + 7*o**3 - 2*o**3) + 3*o**4 + 3*o**4 - 7*o**4 - 2*o**4 - o**4 + 2*o**4 to d*o**3 + c*o + x*o**2 + u + w*o**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaa when three letters picked without replacement from jjja.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = y + 173, -22*q = -3*y - 19*q - 504. Let h be (-1778)\/(-2) + 1\/1. Let o = h + y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11410336.\nAnswer: 2, 7, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*d**2 - 137*d**2 - 37*d**2 - d - 57*d**2 + d.\nAnswer: -167*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i*o**3 - 6*i*o**2 - 50680*i*o + 147565*o**4 wrt o?\nAnswer: -24*i + 3541560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 + 433 = -18*u + 292 + 122 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = 3*m, 5*c - 2*c = 5*m + 24. Let d be (-92)\/34 + (32 - 30\/1). What is the third smallest value in d, -0.4, -0.5, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*c**2*f*v + 1357*c**2*f + 4*c**2*v + 2*c**2 - 1575694*c*f*v - c*v wrt c.\nAnswer: 56*f*v + 2714*f + 8*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 256854*x - 1 + 6*x**2 - 256849*x - 1. Calculate w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/10 - 1984\/(-40). Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 + 3*f + 2. Let c(g) = g**3 + 5*g**2 - 3*g - 1. Calculate -4*c(t) - 3*h(t).\nAnswer: -t**3 - 2*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 4:06 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7 = -2*m - 3*m, -2*m + 44 = 4*u. Suppose -4*i - 306 = -u*i. What is the second derivative of 12*g**5 - i*g - 32*g**5 - 17*g**5 wrt g?\nAnswer: -740*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*w**2*x**3 - w**2*x**2 + 12*w**2 + w*x**5 wrt x?\nAnswer: -390*w**2 + 60*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 414*h - 14279. Let l(p) = -3*p**2 - 414*p - 14280. Let r(m) = 3*g(m) - 4*l(m). What is c in r(c) = 0?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-33)*(-484)\/(-264)*(-2139)\/310\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.99999616 - 26. What is y rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095163 + -28.\nAnswer: -27.904837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/9 - 151332100*h\/9 - 5725351122602500\/9 = 0.\nAnswer: -75666050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -23. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1261 - 1258. Solve -7 = -v*a - o - 1, -2 = -a + o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 10750 - 14431. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 5, 36 in increasing order.\nAnswer: -4, -3, 4, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 8*b + b**2 + b**3 + 1 + 0*b**2. Let o be u(0). Is o greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc55 (base 15) to base 10.\nAnswer: -43280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 323*s**3 + s**2 - 70*s - 69. Give k(-1).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -6, 0 in descending order.\nAnswer: 13, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/4 + 16*i**3\/3 + 3*i**2 + 191*i + 3444. Calculate b(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*p + 111*p - 12*p in the form r + a*p and give a.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5776 and 4509004.\nAnswer: 342684304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 510 = 31*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 13*t - 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 6426 = -2469. Let x = v - 585. What is the remainder when 38 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*c = -115*c + 117. What is the common denominator of (-2)\/c + (-590)\/(-3120) and 79\/22?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 217*v + 198. What are the prime factors of j(10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*d = u - 16, -3*u = -3*d - 24. Suppose -199 = 25*c + 51. Let k be (-76)\/c - (4 - -3). What is the second biggest value in 1\/9, -3, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -936 divided by 14472.\nAnswer: -13\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (1 - 17)*(-3)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 27*d - 26. Let t be v(-28). Suppose 5*g - 1815 = -3*h, 0 = -t*h - 3*h + 25. Is 30 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*5*(sqrt(91) - (sqrt(91) + 4*(sqrt(91) + (sqrt(91) - (sqrt(91) + (sqrt(91) - sqrt(91)*2)))) - sqrt(91))))\/(6*(sqrt(252)*2 - sqrt(252))*5))**2.\nAnswer: 637\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (sqrt(90)*-1 + sqrt(90))) + -3*(sqrt(40) - sqrt(10)))\/(-4*-3*sqrt(5)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 43. Let l be (9 + 9)*(-1)\/2. Sort 2\/3, l, -5, t in ascending order.\nAnswer: l, -5, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.076 + 16.254. Let b = g - -0.37. Round b to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/24 - 3*p**2\/2 - 3*p. Let r(t) be the first derivative of w(t). Let q(f) = 5*f**2. Give r(q(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 3 - 3)*(-2 + 6 - 2) + 65*g**2 + 164*g - 24 + 24 - 175*g.\nAnswer: 69*g**2 - 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/25 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53043 (base 6) in base 4?\nAnswer: 1233303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 f when three letters picked without replacement from {e: 8, z: 4, s: 4, w: 2, f: 2}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3698 = 222*c - 3628 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let a(v) be the third derivative of -v**5\/20 - v**4\/12 - 6*v**2. Suppose -16 = -w - 17. Determine w*a(u) - 2*c(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48486 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1055?\nAnswer: -1\/1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000675 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148962, -297907, -446852, -595797, -744742, -893687?\nAnswer: -1042632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 348*h**2 - 72 - h - 24 - 93 - 2*h + 60*h**2 wrt h?\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24*s + 27. What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4268\/(-352))\/(6\/8) and 47\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(539) + -1 + sqrt(539) - (sqrt(11) - -3*sqrt(99)))**2 - ((sqrt(275)*4)**2 - ((-1 + sqrt(11))*-5)**2)) + 2).\nAnswer: 290*sqrt(11) + 19605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -2354?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 1027, 3117, 7187, 13897, 23907, 37877?\nAnswer: 56467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -158752 divided by 484\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -100, -98, -96, -94?\n\"Answer: 2*o - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 12:16 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 8*v + 6. Suppose -4*r = r - 105. What is the remainder when r is divided by d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 537143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 115*y - 557, -3*i + 9*y - 13 = -y - 0*y + 9*y for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10033110322 (base 4) in base 10?\nAnswer: -1111354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122102212022001112 + 10?\nAnswer: 1122102212022001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + -11 - -7 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34880.5*-1041.\nAnswer: -36310600.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158102133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 + 6\/(-4). Let b be 2 + h - (-4 + 1). Suppose 2*n + 1480000 = b*n. What is n rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 217 = 3*t, 4*t - 282 = -2*m - 0*m. Let u = t + -68. Do 3 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*p**4 + 2 + 7*p**4 + 2*p - 18*p**4 + 24*p**4 + 2*p**3 in the form b*p**2 + k*p**4 + q*p + z*p**3 + w and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 23855 - 23785 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -15. Find the second derivative of -v**2 + 6*v**2 - 5*v + l*v**2 - 8*v**2 wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and 580.\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 + -567\/4. Which is the third biggest value? (a) 2 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69718*k + 69713*k + 8*v + 47 = 0, -k = 5*v + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 - 7*f + 3. Let h(x) = x**3 - 5*x**2 - 8*x + 5. Let r = -12 + 18. Let c be h(r). Let w be s(c). Solve -2*l = l - w, j + 5 = 2*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88248 to the nearest one hundred.\nAnswer: 88200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 377 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (-214 - 31 - -159)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + (13 - 0). Let c = z + -3. Let p(u) = -5*u**2 + 22*u - 1. Calculate the lowest common multiple of p(4) and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 85*v + 34. Is 4 a factor of f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 3 - -3)\/(-2). Suppose k*q + 23*q - 345 = 0. Solve -4*b + 3 - q = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 294*a**4 + 4 + 1214*a - 1212*a - 94*a**4 - 2*a + 2*a + a**4 + (a**3 + 6*a**3 - 2*a**3)*(-5*a + 5*a - a).\nAnswer: 196*a**4 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 90 = -12*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - 18*-2) + 0 + 2. Let v be (-1 + p + 2)\/((-33)\/(-44)). Suppose -g - 29 = -v. Calculate the remainder when 39 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3196728 and 783?\nAnswer: 9590184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 38?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 144\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111072*u = -110781*u + 20952 for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k - 48. Let o be z(3). Let v be 2 + ((-6)\/o - 1) - -4. Which is the nearest to -0.2? (a) 0.1 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 5*w + 10, -5*u + 15 = -2*w. Let s(g) = 8*g**2 - 13*g - 1208. Let c be s(-28). Suppose -c = u*y - 9*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybdopso. What is prob of picking 1 y, 1 p, 1 s, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + (1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-100) + 8\/5. Suppose 0 = 2*z + 4, c + 4*z - 3 = b. Calculate the remainder when 14 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2346 + 2345.41592. What is i rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75200162 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/243 (b) 0.02 (c) -13\/7 (d) -2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(192)*2) + -4.\nAnswer: -4 + sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2 + 4*c + 5\/2*c**2. Differentiate t(z) with respect to z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*r = 4, 0*r + 12 = 5*d - 2*r. Let l(s) be the first derivative of 0*s**2 - 2 + 0*s**3 - s - 1\/2*s**d. Differentiate l(t) wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/6 + 22*i. Let m(h) = -3 - 4 + 2*h + 0*h + 0*h. What is m(k(j))?\nAnswer: -4*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*a - 17*a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951, -1826, -2679, -3498, -4271?\nAnswer: -4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 26*k - 86*k - 2835 = 0 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 2) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -2, -1\/15, -0.039495, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -504 + 646.3. Let v = -13.3 + w. Let u = -128.9903 + v. Round u to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x + 5. Let m be 33\/(-6) + (-2)\/(-4). Let p = x - m. Solve d + 11 = 2*d + p*y, 6 = 3*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6. Let v = 1 - z. Let y = v - -3. Solve -y*s - 4*n + 16 = 0, s + 2*n = 4*n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 33 = g - 5*g, 2*l = 4*g - 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(1\/3)\/j*j))**(1\/21))**(12\/5) assuming j is positive.\nAnswer: j**(8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1760 and (1 - 9 - -2) + (-820)\/(-154).\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -51. Let g be (-228)\/42 + 5 + (-780)\/42. Sort 2, g, -4, o in decreasing order.\nAnswer: 2, -4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -12\/7, 0.4, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*5*((sqrt(121) + 5*sqrt(121)*1)*-1)\/(-5*sqrt(44)*-3).\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 + 0.07. Let f = 991\/7 - 142. What is the third biggest value in m, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -4. Let s be (-3)\/2*(-812)\/3. Let t = 582 - s. What is the greatest common divisor of w and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0*(4 - 3))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*h + 186*h - 182*h - 20671 + 257 = 0 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-1))*8\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4 - 2*z**3\/3 - 4*z**2 + 8*z\/3 = 0.\nAnswer: -2, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 5*r + 268. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11296520.1 to the nearest 10000.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3146 + 4036.6854. Is b greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u + 1 + 9 - 1 - u**2. Let q be s(-7). Let b(x) = x**2 - x + 6. Let a be b(6). Calculate the highest common factor of a and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -29. Let i(f) = f**3 - 16*f**2 - 24*f - 20. Let s be i(d). Let h = s - -225. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 0*b + 1\/3*b**3 + 1\/24*b**4 - 2 + 1\/2*b**2. Let t(l) be the second derivative of z(l). Differentiate t(u) with respect to u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 2*f = -9, a + 12 = -5*f. Find v such that -v**2 + 8*v**3 - 7*v + a*v + v**2 - 4*v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -9*d**5\/4 - 25998441*d**4\/4 - 17332279*d**3\/4 + 31775869*d**2\/4 + 2888714*d - 2888715 = 0.\nAnswer: -2888715, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p + 7. Let v be i(7). Let a be ((1 - -13)*-1)\/(-2). What is the highest common divisor of v and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18664\/10)\/(-1*(-2)\/(-25)). Let t = -513365\/22 - q. Find the common denominator of t and -31\/452.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/30*70\/6*2. Let l be (80\/j)\/((-2)\/7). Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1)\/5*1. Let i = 7 - 9. Let p = i + 2.2. What is the second biggest value in -2\/5, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 11*l - 6*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23590644 and 1559712.\nAnswer: 188725152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddwwmwoodsdewewdod. Give prob of sequence www.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 768 divided by -384\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020954 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12401294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 55. Suppose -13 = -2*j - b, -4*b = 2*j - 2*b - w. Suppose g = m + 10, -m = m + j. Solve -2*d = -2*r + 2 - g, -4*d + 2 = -r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, and 2 h when four letters picked without replacement from {q: 1, t: 1, d: 1, h: 5, r: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*y = -2, q + 4*y + 8 = 18. Let s be ((-6)\/(-10))\/(q\/10). Suppose -g + 2 - 41 = -2*t, s*g = 4*t - 77. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 5*a**2 + 3*a - 1. Let m be -1 - -1 - (-6 + 1). Is u(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**3 - o**4 + 4*o - 11*o - o**2 + 5*o in the form b + i*o**3 + j*o + a*o**4 + l*o**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2292355878.\nAnswer: 2, 3, 353, 1082321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -15. What is the highest common divisor of 18 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*h + 13 = 0, 12 = -2*b - 5*h - 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37143330?\nAnswer: 2, 3, 5, 7, 83, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-78)\/(-4))\/(-3)*-2. Let z(t) = t + 1. Let x(u) = -5*u - 13. Let o(a) = -x(a) - 4*z(a). What is the units digit of o(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205844815 to the nearest integer?\nAnswer: 14347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + -0.37. Let a(n) = -n**3 - 2*n**2 + 24*n + 31. Let m be a(7). Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 - (3 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + t = 199, z + 332 = -4*z + 2*t. Let h = 38 + z. Calculate the common denominator of -37\/8 and 8\/h - 1557\/210.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -18*n + 13. Let b be d(-8). Suppose 7*i - b = 235. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1877*x - 36623?\nAnswer: -1877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 3*r + 1. Let a be 4 - ((-40)\/(-5))\/4. Suppose -5*c = 4*h - 38, -5*h + 1 + 9 = 0. Let g = a - c. Calculate n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 bigger than 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1719 - 2200 = -326*a + 7165 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677?\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11718780 rounded to the nearest 100000?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62860 = -3*b - 62827. Solve -b*x + 148 = 26*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 79*l + 2. Let q(a) = 7*a**2 + 158*a + 5. What is -5*d(s) + 2*q(s)?\nAnswer: -s**2 - 79*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 8:31 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 + 2198 = 6*d. What are the prime factors of d?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5175 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 + o - 265. Let b(x) = -3*x**2 - x + 264. Give 3*b(j) + 2*v(j).\nAnswer: j**2 - j + 262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 2*o - 2*o - o**3 - 2*o**3 as m*o**3 + q + n*o + t*o**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 16014 = -3*m, 5*f = 3*f + 4*m + 10686. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-666262)\/(-28) - (-36)\/(-504)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o**(-8)*(o\/(o\/o**(1\/14)))\/(((o\/o**(1\/2))\/o)\/o))\/(o**(2\/7)*o**(2\/7)*o)**(-47) assuming o is positive.\nAnswer: o**(472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = -25*i + 2*f - 142, 0 = 4*i - f - 577. Solve 139*m = i*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -7*g + 17 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/221)\/((-200)\/(-680))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2629.031743 + -2.694257. Let a = 2465.7387 + v. Let d = -166 - a. Round d to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a6b (base 12) in base 4?\nAnswer: 2003303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6986627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -46\/5, 3\/14, 2\/3, -3?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:33 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 13*n**3 + 74 - 151 - 3*n**2.\nAnswer: -13*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from kcxxjkjxuccgkjxcxj?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3129 and 441?\nAnswer: 65709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.2 + -1.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -10. Suppose -4*k - a*x = -77, 4*x - 3 + 46 = k. Let m = -20 + k. Solve 2*y - m + 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 2*g + 14*g - 4*g - 2*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66\/163 + 8744\/1467. Calculate the common denominator of -58\/5 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 11*j**2 + 39*j + 99. What is the remainder when 2506 is divided by s(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-264)\/176 + (6212\/8 - 1). Suppose -18 - 13 = s + 3*k, -s + 5*k - 31 = 0. Let n = s + v. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27928\/11 <= 2540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.6. Let x = -496 + 450.7. Let o = x - -45. Sort b, -0.2, o in ascending order.\nAnswer: o, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2405.86 + -2502.811. What is l rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**3 + 3\/50*z**5 - 1\/105*z**7 - 1\/15*z**4 + 0*z**6 + 0*z**2 + 6*z + 0. Factor o(h).\nAnswer: -2*h**2*(h - 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2033593 - -3?\nAnswer: -2033590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*y + 141*y - 266*y + 4140 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 18*g**2 + 19*g + 12. What is the least common multiple of 14 and y(19)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose d*s + f = s - 4, 3*s + f = 20. What is the remainder when 10 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 36442.\nAnswer: -1\/18221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 4*y)*(5 - 6 + 7)*(-10*y + 13*y + 705 - 2*y) - 4*y**2 - 2*y**2 + 4*y**2.\nAnswer: 10*y**2 + 8460*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 2 + 2)*(5 - 3 + 0)*(18*l - 27 + 27) + 2*l**2 - 1 + 1.\nAnswer: -214*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 - 256. Let 13\/2*f**3 + 1\/2*f**5 + 0 - n*f**4 - 6*f**2 + 2*f = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 0 (c) -25 (d) -42 (e) 1\/2 (f) -5 (g) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/84*(-30)\/(-105)*21.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*h, 3*n - 3*h = -1 + 7. Let q be 2*-1*n\/2. Solve q*k = -2*p + 9, k = 4*p - p + 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 33*a + 21. Let n be l(-17). Solve 0 = u - 5*c + 16, 8 + 9 = -5*u + n*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x = 36 - 741 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 350045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-249911*u + 249911*u - 117*u**3)*(-u + u + 2*u) + (4 + u**4 - 4)*(0 - 5 + 3) to the form t + v*u**3 + o*u**4 + m*u + g*u**2 and give o.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/15)\/(4\/10). Suppose b*g = g + 15. Let s = -3 + g. Solve 2 = -4*y - s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 39 + (12 + (35 - -8) - (5 - 1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11835035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - 2*u**3 + u**3 + (0*u**2 + u**2 - 4*u**2)*(2 + 4 - 2)*(135*u - 368*u - 157*u).\nAnswer: 4682*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 956 = 3*s, -659 = 2*s - 4*s + d. Let l = -316 + s. Solve 2*o - 6*o - 25 = -3*x, 5*o + l = -3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -336 + 350. What is the third derivative of 0*w**4 + c*w**2 + 3*w - w + 24*w**5 - 4*w - w**4 wrt w?\nAnswer: 1440*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919824.7 weeks in hours?\nAnswer: 154530549.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*y - 4*y - 14*y - 11*y in the form p*y + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040470 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-1 + 26\/32). Let i = -2830 + 2832. Find the second derivative of -h*f**i + 21*f + 4*f + 60*f**2 wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/((-6)\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 - 23 - (-3 - 3) - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19\/5)\/a*(a*a**22)\/a*((a**(-22)*a)\/a)**37 assuming a is positive.\nAnswer: a**(-3984\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 419683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 441351.8 * 1.\nAnswer: 441351.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14119141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*d**4 + 7*d**3 + 96*d**2 + 1078685*d.\nAnswer: 456*d**2 + 42*d + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scvcvcvssssis. Give prob of picking 1 v and 1 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 - 9*s**2 - 40*s**2.\nAnswer: -62*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/2, 0, 6, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 19 = -l, -1680*l = 3*c - 1678*l + 17 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.13 (b) 21 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8 + -884c79?\nAnswer: -884d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffxx when four letters picked without replacement from fffxxxxfxxfxf?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 36, -109 in increasing order.\nAnswer: -109, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 48450?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 13511*f**2\/2 - 332173*f + 637320.\nAnswer: (f - 47)*(f - 2)*(f + 13560)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -60036*t**5 + 345183*t**4 + 81559044*t**3 - 143498463*t**2 - 41031948*t - 16380 = 0?\nAnswer: -35, -1\/4, -2\/5003, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 93. What is the closest to 0.1 in 0.5, 2\/3, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/4)\/((19\/48)\/19). Let r be (-6)\/(-4) + 60\/j. Solve 4*x = -r*z + 2*x - 2, -z + 5*x - 19 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 + -3)\/(-3) - 2. Suppose 2 = t - f. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02398 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0658817 millilitres in litres?\nAnswer: 0.0000658817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 8*z - 18. Let n be f(5). Let v be 3*-2 - n - -102. Suppose 12*t - v - 261 = 0. Solve -2*l + 0 = 5*q - 15, 0 = 4*q - 2*l - t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436767.\nAnswer: 3, 145589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650387256 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9*3\/(-153)*25\/(750\/20)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38459 is divided by 9607.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:24 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppf when four letters picked without replacement from {p: 4, f: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k**2 - 2*k**2 + k**3 - 6*k**2 + 8. Suppose -6*z = -9*z + 24. What is the units digit of v(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 1\/216*w**8 + 0*w - 4\/315*w**7 + 1\/180*w**6 - w**2 + 0*w**3 + 1\/135*w**5 + 0 + 0*w**4. Find t such that g(t) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 31 + 18. Suppose -q*j - 42 = -0*j. Put j, -5, 0 in increasing order.\nAnswer: j, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.7 or -802582?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(44\/12 - 2). Suppose -3 = -r - v*q, q - 2*q = -3*r + 41. Let u = -14 + r. Put 2, u, -3 in increasing order.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 288 * -32700\nAnswer: -9417600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 61 = -32*m - 119 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h - p - 15, 0 = h + 2*p + 12. What is the common denominator of (1 - 6726\/396) + 4\/(-22) and -1 + ((-17)\/h - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15313 is divided by 5102.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 9, e: 1, t: 1}. What is prob of picking 1 e, 2 a, and 1 t?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102162 (base 10) to base 7.\nAnswer: -603564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-37)\/3 + 52\/39?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q. Let o be q - -2 - 8\/2. What is the units digit of (-1062)\/(-30) - o\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/109)*f*f*f**(1\/18))**(-48) assuming f is positive.\nAnswer: f**(-31976\/327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-6 - (-47 - -48 - (-1 + -1)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13602574 and -0.3?\nAnswer: -4080772.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/7)\/(4\/(-28)). Let o(g) = -1 - g + 4 - 3*g + l*g. Is o(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3842\/11227 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(1 + sqrt(405)).\nAnswer: 30 + 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by ((-72)\/(-60))\/((-4)\/(-60)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -74, -5, 1, -260, -4 in decreasing order.\nAnswer: 4, 1, -4, -5, -74, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-6)*((-42)\/(-5) + -2). Suppose -d*s + 0*s + 35248 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(4*f - 3*f - 15*f)*(0 + 4*f + 0).\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 1\/8 (b) 2 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -86?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, 1, 18, 599 in descending order.\nAnswer: 599, 37, 18, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 132*y**2 - 71*y**2 - 70*y**2. Let r(u) = 20*u. Give x(r(v)).\nAnswer: -3600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.563669935 to three decimal places.\nAnswer: -2.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 20 = -q, 3*h + 5 - 17 = -q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**4 + 195*k**3 + 595*k**2 + 420*k + 50. Let a(t) = t**2 - 2. Let m(r) = 25*a(r) + d(r). Suppose m(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -705*p**2 + 37 + 26 + 1527*p**2 - 756*p**2 + 24 - 87.\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118\/111 + -27\/37. Let p = -55 - -65. What is the third smallest value in p, m, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 3\/16*t**4 + 1 + 0*t - 5\/12*t**3 - 1\/4*t**2. Determine j, given that f(j) = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*b - 79 = -109, b + 7*b = 4*z - 36 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*f - 14, -f - 2 = 5*j - 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 7*b - 3. Let g be y(0). Let i = 3 + -6. Let t be g\/2*10\/i. Solve -12 = -t*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.24968, -4, 27?\nAnswer: -0.24968","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 319680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 98*p**2 - 4*p - 3. Let t be (-2)\/((-128)\/24) + (-165)\/120. Determine s(t).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57019520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*m + 12. Let u be ((-10)\/30)\/((-1)\/(-51)). Let v = m - u. Solve 0 = v*i + 5 + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*j - 0*a - 19, -2*a + 4 = -3*j. Let k be (3 - 5) + 1 + -1. What is the remainder when (k\/3)\/(2\/(-9)) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5936 + 5960 - (14 + 1 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**7\/14 - z**6\/3 - 3*z**5\/5 - z**4\/2 - z**3\/6 + 3*z + 6. Let y(h) be the first derivative of i(h). What is q in y(q) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/604628303 and 11\/5?\nAnswer: 3023141515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12481 and 1295?\nAnswer: 2308985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -27 + 9\/(-54)*0. Sort -1, 9, b.\nAnswer: b, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 22, 33, 64, 121, 210, 337?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 13\/2*d**2 - 73 - d. What is q(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*s + 938*s = -686 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -284? (a) 1\/3 (b) -2 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233 - q - 6*q + 9*q**2 - 232)*(4*q**3 - q**3 - 2*q**3).\nAnswer: 9*q**5 - 7*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 6, -4, 67, -2 in increasing order.\nAnswer: -4, -2, 6, 20, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/10 (c) 1\/7 (d) 5 (e) 39 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49554 and 3591?\nAnswer: 19772046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 4. Calculate the least common multiple of n(2) and (19 - 17)\/((-2)\/(-108)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.1 (c) -2\/11 (d) 4.3 (e) -10 (f) 1307\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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(t) = -t**2 + 16*t - 37. Let w be u(3). Let b(k) = 17*k**2 + 20*k - 45. Calculate the remainder when 251 is divided by b(w).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 + (-105 - -41))*3\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 1:12 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 824*h**3 + 291.\nAnswer: 2472*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*n - 11, 15*o - 2*n - 22 = 12*o. Let 3\/5*k**5 + 3*k**3 - 6\/5*k**2 + 0 - 12\/5*k**o + 0*k = 0. What is k?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 73*z**3 + z. Let c be o(-1). Let l = -10 - c. Does 15 divide (l\/3)\/((-4)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -5, -2\/11, -191?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 5*i - 2. Let g be (8 + -63)*(1 - -1 - 1). Let z = g + 55. Suppose 9*c + 37 + 17 = z. Determine d(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115135*s - 127114.\nAnswer: -115135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 2342025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -224*i - 1567. Let r be z(-7). Let n(q) = 20*q**3 - 2*q**2 + 2*q. Let w(g) = g**3 + g. What is r*n(a) - 2*w(a)?\nAnswer: 18*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2022?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12142 - 2?\nAnswer: -12144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1154 - 673. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 3*j - 15*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 31 + 90. Is (-7)\/(-1) - (-459 + r) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + 0\/(-3 - -2). Let a(w) = -u*w + w + 9*w + 2. What is a(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23133\/1640 + 113\/8. Let t = f - 127\/205. Which is the second biggest value? (a) t (b) 5\/4 (c) -10 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 382 + 132?\nAnswer: 4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -112, -156?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {q: 1, m: 2, s: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21401 and 0.96?\nAnswer: 21400.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 13. Let z = -2.3 - 2.2. Let s = z + j. Which is the closest to -2\/3? (a) -4\/7 (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.3 (b) 22.13 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5 - 1. Let s(o) = 2*o**2 + 4*o + 2. Let v be s(-2). Let f(b) = b**3 + 1 + b**2 - 2*b**2 + 1 + 5*b**v. Determine f(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(68) + 1) + -5 + (sqrt(68) - (sqrt(68) - (1 + 0 + sqrt(68)))) + -2 + 5)**2 + -1.\nAnswer: -16*sqrt(17) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let i = -2 - -15. Suppose 2*a - 10 = -2*v, t*v - 5*v + a = -i. What is the remainder when 8 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/4 + 7*n**3\/3 - 2*n**2 - 8*n - 1. Let i be ((-1)\/(-2))\/((4 - 1)\/18). Let c be 9\/(1 + i\/6). Determine u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -0*d. Let x be 3*-1 + (d - -6). Solve -11 = -0*c + c - x*f, -3*c + 5*f = 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d. Let q(u) = -4*u - 3. Let y(f) = 7 + f + 3*f + 3*f. Let p(h) = -7*q(h) - 3*y(h). Determine k(p(n)).\nAnswer: -35*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) 0 (b) -2\/5 (c) 281 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/5 + 274*h**2\/5 - 10432*h\/5 + 64896\/5 = 0.\nAnswer: -169, 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -10.\nAnswer: 169\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 11, -5 in ascending order.\nAnswer: -5, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 1.97. Let w = h + 0. Let n = 2.6 + w. Round n to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (8 - -8) + 2 + 1\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 a factor of 61239552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**3 - 2*q**2 + 1. Let j be o(-1). Suppose -11*h + j = -9*h. Find the first derivative of 23*n**3 + 5 + 3*n**3 + h - 3 wrt n.\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((2 - -8) + -8 + 6 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, p: 3, b: 3, o: 2}. What is prob of picking 4 r?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-406)\/84 - -3)\/(4\/(-24)) + 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19011, -4, -3, 67 in decreasing order.\nAnswer: 19011, 67, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/1969 - 3882\/13783. Let d be (-35)\/98*3\/5. Let g be (2\/1)\/(-1 - 0). What is the second smallest value in f, g, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - 3*x**3 + x**3 + 3*x - 3*x - 2*x**3 + (3*x**3 - x**3 + 0*x**3)*(-4 + 19 - 9) + 3 - x**3 - 3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -31, -100, -209, -364, -571?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100012002232 (base 4) to base 5.\nAnswer: 2040002204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, -4, 662 in descending order.\nAnswer: 662, 151, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16 + 994\/70)*-1065.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (13 - (-11 + 51)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -f - 490, -8*a = -6*a - 8. Sort f, -2, -4 in decreasing order.\nAnswer: -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (5 - (33 + -23)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -3*t - 60. Suppose -5*k + t = w - 0*w, -w = -5*k + 10. Factor -56\/13*m**3 + 0 + 98\/13*m**4 + w*m + 8\/13*m**2.\nAnswer: 2*m**2*(7*m - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22846*p - 19740*p + 42567*p - 4.\nAnswer: -19*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2.6 (b) -2\/7 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -30 - 25. Suppose 94 = l*g - 6. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = -27*j - 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 285629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195686?\nAnswer: 2, 97843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -2*u**5\/45 - 53*u**4\/18 - 34*u**3\/3 - 151*u**2\/9 - 100*u\/9 - 1407. Factor a(k).\nAnswer: -2*(k + 1)**3*(k + 50)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 + 24*b**3 - 5*b**4 + 161*b**2 + 11\/20*b**5 + 0*b - 1\/40*b**6. Find d, given that g(d) = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11046*o - 75550 = -11107*o + 6723 + 117104 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512888750 divided by -820622.\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*j - 1179*j = -101285 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1307*c**2 - 1803 wrt c.\nAnswer: 2614*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 11:16 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 60. Let n(f) = -f + 0*f + 2 + 27*f**2 - 18*f**2. Let v be n(1). Calculate the greatest common factor of c and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -8, 22, 56, 94, 136, 182?\n\"Answer: 2*y**2 + 20*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 4 + 0*z - 7\/3*z**3 + 0*z**2 + 3\/2*z**4. What is the third derivative of q(w) wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2859, 11477, 25855, 45999, 71915, 103609, 141087?\n\"Answer: k**3 + 2874*k**2 - 11*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*u + 2*u. Let k be u*(-1)\/(5\/2). Let w = k + 23. Solve 4*o - w = -9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1219904247 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 328 - 327.96. Which is smaller: z or 2\/31?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*u**3 + 369 - 4*u**2 - 14*u + 14*u - 8.\nAnswer: 397*u**3 - 4*u**2 + 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5879 by -6.\nAnswer: 5879\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2893, -5806, -8719?\nAnswer: -11632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*p - 6*p + 18, -3*p - b + 4 = 0. Suppose -3*m = 2*r - 30, -4*r - 6 = -p*r. Suppose 7*l + 5 = m*l. Let j(s) = -8*s. What is j(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 3*h - 4*s + 6, -5*h - 2*s - 2 = 0. What is the remainder when 13 - (1 + -2) - (h - -1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + s)*(s**2 + 2*s**2 - 4*s**2) - 5*s**3 + 5*s**3 + 2*s**3 - 2*s - 7922489*s**2 + 7922489*s**2 + 4 + 564*s**3.\nAnswer: 565*s**3 - 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -14*o + 282. Let n be (2\/(-6))\/((-14)\/o). Is (3*n - 0) + (102 - 17) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 3*u**2 - 3*u - 9. Let z be k(-4). Let w = z - -479. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2961 is divided by 491?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -2\/5, 2\/3, -0.5 in descending order.\nAnswer: 2\/3, 0.11, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-81 + 77 - (-1 + -15) - -3).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18767006, -37533988, -56300952, -75067892, -93834802?\nAnswer: -112601676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1456150 - 3?\nAnswer: 1456145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 - 28*t + 65. Suppose -j + 6 = -x, 2*x - 10 = -4*j - 4. Let h be i(j). What is the greatest common divisor of h and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*r + 1083 - 3042, 2*l = -2*r + 3926. Suppose 3*t + 3*d = -2*d + l, 1310 = 2*t + 3*d. What is the greatest common factor of t and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23140342 (base 5) in base 10?\nAnswer: -208847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.98 - 5. Let z = -0.44184 + 0.4218356. Let h = b - z. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 44, 43?\n\"Answer: -v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 501 (base 9) to base 3\nAnswer: 120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*n*q - 132*n - 15*q wrt q?\nAnswer: -12*n - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 14. Let d be m(10). Is 474\/4*d\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 2.4. What is the nearest to y in 2\/3, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 83140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78768 by -36.\nAnswer: 2188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 13) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 198 (base 10) to base 15\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.668641 days?\nAnswer: 160.047384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/53010*-57)\/(2\/156).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*x - 36*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -12*i**2 - 3544*i + 20468 = 0?\nAnswer: -301, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let f(s) = 16*s - 68. Give d(f(k)).\nAnswer: -32*k + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 2. Let z be m(1). Let b be 6\/(-8)*6\/(-9). Determine p, given that b*p**3 + 1\/2*p**2 + 0 + z*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*o**3 + 11941*o**2 - 274476 wrt o.\nAnswer: 69*o**2 + 23882*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 105497, 105233, 104789, 104165, 103361?\n\"Answer: -90*n**2 + 6*n + 105581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3535*s**2 - 3230957*s + 3230957*s.\nAnswer: -3535*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 745 divide 1311945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 9*a - 9. Let p be s(4). Put 5, p, 3 in ascending order.\nAnswer: 3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, -6, 2\/3, -1\/3, 21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose t*s = -4*o + s - 14, -4*o = -3*s + 18. Let x(q) = q**3 + 2*q**2 - 3*q - 1. Give x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 5593*o. Let x(g) = -2*g**2. Determine m(x(w)).\nAnswer: -8*w**4 - 11186*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4*a - 2*a)*(-4*a**3 + a + a + 3*a**3 + 1).\nAnswer: -a**4 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {j: 1, w: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*j**2*m*u**3 - 3*j**2*m*u - 3*j*m + 50*m*u**3 - u**3 wrt j?\nAnswer: -154*m*u**3 - 6*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 1 - 4 + 2*r + 5*r. Let i(q) = -q + 2. Let o(n) = n - 1. Let h(f) = -i(f) - 6*o(f). Determine -4*g(j) - 3*h(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-8))\/(((-27)\/(-4))\/(-9))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.6, -5, 0.02, 0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 131*a - 251. What is b(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - y**2 + 76 - 18*y**3 - 76 to the form w*y**2 + x*y + q + u*y**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 72 = 16. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/15)\/(y\/(y**(5\/2)*y)))\/(y**(-2\/27))**(1\/42) assuming y is positive.\nAnswer: y**(14563\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1122 - 902. Does 44 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y**2 + 29*y + 24. Let s(o) = 100*o**2 + 175*o + 145. Let b(x) = -35*r(x) + 6*s(x). Suppose b(c) = 0. What is c?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzwzzzzzwwz?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001001111000 + -1?\nAnswer: -1111001001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*t + 50*s - 51*s, 3*s = 5*t - 4. Let w(q) = q**3 - 19*q - 6. Let u(b) = 19*b + 5. Give t*u(z) - 3*w(z).\nAnswer: -3*z**3 - 19*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -0.3, -2 in descending order.\nAnswer: -0.19, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17000 and 1800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2990*j**2 + 1 - 1 - 5988*j**2 + 2999*j**2. Let g(i) = 19*i**2. Give g(p(l)).\nAnswer: 19*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 3*q**4 + 3*q**4)*(3*q - 4*q + 3*q) + (-q**3 + 4*q**2 - 4*q**2)*(2 - 2 - 2*q**2) + 3*q**5 + 2*q**5 - 3*q**5.\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u**(6\/13)\/u*u)\/u*u)\/u*u\/(u\/u**5))\/(u\/(u\/u**(-3)))**30 assuming u is positive.\nAnswer: u**(1254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - f7b?\nAnswer: -f77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -25 + 4*b - b**2 + 0*b + 10*b. Let w(n) = n**2 + 2*n. Let p be w(2). Does 6 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222799 + 13662?\nAnswer: 13662.222799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -75*p - 1589. What is x(-16)?\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48986215, -48986216, -48986217, -48986218, -48986219?\nAnswer: -48986220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -896 + 894. Let j(y) = -2*y - 4. Let v be j(-3). What is the closest to -0.1 in v, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -326, -655, -988, -1325, -1666?\n\"Answer: -2*a**2 - 323*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 209*o**4\/4 - 3*o**2\/2 + 2*o - 63. What are the prime factors of q(-1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -77 - 23. Let b be v - 260010 - 0\/2. What is b rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/13660 and 27\/28.\nAnswer: 95620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (8 + -8) - 9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (252\/10)\/(-3)*-5. Let w = n - 12. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 50.691711 hours?\nAnswer: 0.301736375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93179 is divided by 1174.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(37730\/(-580)) - (-20)\/35\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -2, 0, 4\/9, 25, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 100836*x - 1 + 100776*x + 2.\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(864))\/(sqrt(4)\/(sqrt(2) + sqrt(2)*1))*2.\nAnswer: 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1545\/2 + -1)*(30 + -28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 77, 147, 217, 287?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -12. Let y = -185\/3 - -63. Which is the closest to d? (a) -0.2 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10091798*r. Let a(u) = 3*u**2. Give m(a(h)).\nAnswer: -30275394*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-3\/8)*v))\/(v**(1\/6)*v*v))**(10\/13)*((v\/((v*v**(-3))\/v))\/(v*v**7))**(10\/9) assuming v is positive.\nAnswer: v**(-2725\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/27)\/(2\/84*7). Put -16, -4, -1, 5, m in decreasing order.\nAnswer: 5, m, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5200 and 20072.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-40))\/((-14)\/49 - 9\/(-42)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b - 105. What is the lowest common multiple of g(21) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (1 + 2)*139\/(-1). Suppose 5*j = -o + 131, 2*j - 45*o - 50 = -43*o. What is the greatest common divisor of j and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/3 + 1141*v**4\/9 - 1256*v**3 + 2456*v**2\/9 + 15056*v\/3 - 3120 = 0. Calculate v.\nAnswer: -390, -2, 2\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1 - 11) + (9 - 18 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003591077 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 42. Let t be ((-7)\/(u\/100))\/2. Suppose 3*o + 3*d - 102 = 0, t + 5 = o + 2*d. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + -3 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14757 divided by -3\nAnswer: -4919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*y + y - 4*y + 24*y + 2.\nAnswer: 17*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) 6 (d) 14 (e) -2\/87 (f) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 9:48 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (0 + 0 + 2). Let w be 0*(l + (-4)\/(-4)). Suppose t - 8 = -w*t - 4*n, 2*t = -5*n + 16. What is the least common multiple of t and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-11*q**3 + 20*q**3 + 8*q**3) - 3*q**3 + 3*q**3 + q**3 + (3 - 5*q - 3)*(0*q**2 - 2*q - q - 2*q**2).\nAnswer: -23*q**3 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -48*w. Let i(k) = k - 3. Let b(v) be the second derivative of -v**3\/6 + 5*v**2\/2 + 42*v. Let u(y) = -3*b(y) - 5*i(y). Give l(u(o)).\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2847*f**4*y**3 - 2*f**2*y**3 - 61*f**2*y**2 - 7*f*y wrt f.\nAnswer: 68328*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 178862281 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 9*l - 25. Suppose p = l*p - 16. Solve 2*x - 2*t + 8 = -6*t, 0 = 4*x + p*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8071.184l to millilitres.\nAnswer: 8071184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278958367?\nAnswer: 31, 8998657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -36*m**2 - 3*m - 3. Suppose 338*u - 462*u + 496 = 0. Let n(s) = 36*s**2 + 4*s + 4. What is u*a(d) + 3*n(d)?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/3, -2\/5, -2\/3, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 179*t - 146*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3561 = -4*o + 221, 6619 = 7*o - 5*v. List the prime factors of o.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 4*s + 1 + 0*s)*(-2*s**4 - 2*s**4 + 3*s**4).\nAnswer: -4*s**5 - s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 - 421*t**2\/2 + 422*t + 5847. Determine x, given that a(x) = 0.\nAnswer: -422, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35\/21)\/((-30)\/(-36)). Let v be (-40)\/((q\/23)\/(-1)). Round v to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28013, -28018, -28027, -28040, -28057?\n\"Answer: -2*k**2 + k - 28012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 744.9 minus -79762.21784?\nAnswer: 80507.11784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfihlj. What is prob of sequence fjw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 + 652*j**3 + 26192*j**2 - 34768*j - 322752 = 0. What is j?\nAnswer: -82, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*l, 3*l + 3 = -j - 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 379 = -20. Let x(c) = -c + 133 - h. Let r(y) = -8*y. What is r(x(q))?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221 (base 3) to base 16.\nAnswer: -4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 + 4.9. Let a = x - 1.9. What is the second biggest value in -4, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -81*g**2 - 2*g - 2. Give h(-1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m + 31. Let p(h) = -3*h - 15. Let a(v) = -4*n(v) - 9*p(v). Let x be a(7). Solve 3*i - 1 = -x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 - 1359813*z**2\/5 + 2719638*z\/5.\nAnswer: -3*z*(z - 2)*(z + 453273)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82291330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 178390\nAnswer: 17839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**4)*(t*t**(-9\/7))\/t*t*t*t)**(-29\/5))**9 assuming t is positive.\nAnswer: t**(4176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*v = -12, -556 + 546 = 4*f + 3*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d - 3)*(0 - 4 + 2) + (-d - 2*d + d)*(0 + 3 - 1) + 7*d + 2 - 2.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18762*k**4 - 2*k**2 + k**3 + 18733*k**4 + 0*k**2 to a*k + u*k**4 + x*k**2 + b*k**3 + g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o + 52*o = 1, 0 = -3*m + 4*o - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:27 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*j - 1 + 10, -5*j = -4*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29036 divided by 1?\nAnswer: -29036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1034\/3 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -5, 0.3, -11\/5, -0.5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1113860754 and 654?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c. Suppose c*w - 6 = w. Let x = 10 - w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 4*j - 32, 14*r - 13*r - 2*j + 14 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 8:17 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 842 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897644?\nAnswer: 2, 3, 7, 19, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6055177 milliseconds to minutes.\nAnswer: 0.000043425295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 36*a**5\/5 - 21*a**4 - 152*a**3\/3 + 136*a**2 - 96*a + 3. Let d(r) = 0. Calculate r.\nAnswer: -2, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-4) + -9)\/(6 - 278\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1787.\nAnswer: -2\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -6*f**4 - 70*f**3 + 318*f**2 + 262*f - 120 = 0.\nAnswer: -15, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 6*y. Let n be 129\/(-6) + 3\/6. Let b be (-6)\/n + 44\/(-7). Give z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50065282 is divided by 361.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(20\/(-48032)) - 3. Suppose -2*c = -4*g + 12010, -c = -4*g - 0*c + l. Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -879? (a) -0.5 (b) 0.37 (c) -31\/4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(-3)\/k*k)*k)\/(k\/(k*k**(-1\/5)*k)))\/((k\/(k*k*k**(-2)))\/(k*k\/k**(1\/12))))\/((k*k**(2\/9)*k**(3\/4)\/k)\/(k**2*k**5)) assuming k is positive.\nAnswer: k**(1057\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 15.1 (c) -0.496\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 156a (base 14) to base 8\nAnswer: 7352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let q be ((-1)\/2)\/(v\/(-12)). Solve 3*t + 4 = 5*f - q, 5*f - 11 = -t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 4*i**3 - 4*i + 0*i**3 + (2*i**2 + 0*i**2 + 0 + 1)*(-2*i + i + 2*i).\nAnswer: 6*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2\/21, 31, 1 in decreasing order.\nAnswer: 31, 1, 2\/21, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2785 = -6*l + 713. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k. Let n = 95 + -91. Suppose a + 3*t - 13 - n = k, 3*t = a - 47. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:26 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*n*p**4 - 8*n*p**2 - 3*n*p + p wrt p?\nAnswer: -312*n*p**2 - 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 - 4*b + 3. Let a be m(-3). Suppose a = 2*y + 4*y. What is the lowest common multiple of 42 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 8 + j**3 + j**3 - 4 to the form v + f*j + s*j**2 + y*j**3 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128832, 2, 0, -3, 4, 5, -2 in decreasing order.\nAnswer: 5, 4, 2, 0, -2, -3, -128832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 3*h + 36, 0 = -9754*h + 9751*h + 2*k - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 8*b + 25 = 11*f, 10*f = 5*f - 9*b + 8*b - 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 3 - (8\/(-4) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 50 - 62. Let o(m) = m**2 + 5*m - 32. Let p(q) = -q - 1. Let k(y) = x*p(y) + o(y). What are the prime factors of k(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -166767 and -59.\nAnswer: 9839253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -0.3 (c) -10 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790568 and 46504?\nAnswer: 790568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.46, -2\/13, -0.4, -4 in increasing order.\nAnswer: -4, -0.46, -0.4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z - 1. Let o be h(-3). Solve -4*y - o = 2*r, 0 = r + 4 - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -51a0a?\nAnswer: 51a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from vjjv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05687 + -291994084.\nAnswer: -291994083.94313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (9 - -1))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -7, -26, -53, -88, -131, -182?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-361)\/19 + (-1533)\/(-84))*-112?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/3 + 2*y**4\/3 + 8*y**3\/3 - 8*y**2\/3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315 - 101. Let n = 469 - m. Suppose n = 4*s - s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:05 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 11*y - 132 = 6*y, 0 = s + y - 11. Let j(o) = -6*o**3 - 11*o**2 + 11. Let x(a) = -a**3 - 2*a**2 + 2. What is s*x(q) - 2*j(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -611 - -438. Let p(j) = -3*j**2 - 2*j + 7. Let d be p(6). Let a = d - b. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.3 + -7. Let p = 44745 - 223726\/5. What is the second biggest value in 14, u, 0, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-12)\/90). Suppose -5 = d - 2*d. Suppose 5*y - 125 = d*u, 0*y + u = k*y - 129. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10460)\/500 + (-4)\/50. Suppose a = -4*s + 22, -3 = a - 2*s + s. Put 3, f, a in descending order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -20*j**2 - 9*j - 8. Let h be f(-2). Let i = 194 + h. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, w: 1, v: 4}. What is prob of picking 2 j and 2 v?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**3 - 151 - 204 + 355.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -22. Solve -h + 0*h = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2 + i**3 + 4*i - 2*i - 2 - 4*i**2. Suppose 0 = -2*r - 3*r + 25. Suppose k + r*m = -4*k, k + 5*m + 12 = 0. Determine n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/36 - (-5)\/2. Suppose -4 + 7 = n*l. Is (23\/(-46))\/(l\/(-42)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a771 (base 11) to base 10\nAnswer: 116722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.028 (b) -512 (c) 5\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119263049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 46, 107, 206, 349, 542?\n\"Answer: s**3 + 10*s**2 - 8*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 606.19 to the nearest 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:29 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-2 + 4)) + 0. Let a be 3\/b*2\/5. Let g = -14263 + 14262.7. Sort g, a, 0.3 in descending order.\nAnswer: 0.3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14621*a + 29010*a - 14397*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11112212100 + -11212022?\nAnswer: -11201201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 9. Let k = 45 - 51. Determine s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9891 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.511147 to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6127*m**2 + 3064*m**2 - 1334 + 3050*m**2 - 10*m**3 with respect to m.\nAnswer: -30*m**2 - 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19142 and 3468.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 17214755*u**4 - 316477880*u**3 + 2177734080*u**2 - 6646551680*u + 7590068480 = 0.\nAnswer: 4, 724\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93246?\nAnswer: 2, 3, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2294*r + 1 - 2289*r.\nAnswer: 5*r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 876\/54 + 4\/(-18). Let v = -16 + x. What are the prime factors of -3 + (19 - v) - 1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t - t)*(-3*t + 6*t - t)*(-2 + 2 - 2).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 737414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 2 + u**3 + 0*u**3 + u. Suppose -o + 0*c = 3*c + 4, -3*o + 2*c = -10. Determine p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10*r**3 + 5*r**2 + 59*r - 360. What is the ten thousands digit of s(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 40*s + 1607. Calculate w(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -20, 5, 4, -2 in increasing order.\nAnswer: -20, -18, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.1356 + 0.0356. Let q = i - -30.1. Which is the nearest to q? (a) 4 (b) 3 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22015 divided by 10\nAnswer: 4403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2789, -2726, -2661, -2594, -2525, -2454?\nAnswer: -2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*f - 212, 5*l = 3*f - 158 + 7. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:14 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3.8. Let v = 435 + -367. Suppose 0 = -15*k + 32*k + v. What is the second biggest value in 19, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 - 3*v**2 - 2*v + 6. Let z(h) = 7*h**3 - 5*h**2 - 4*h + 10. Calculate 5*g(y) - 3*z(y).\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o**3 - 4*o)*(1 - 3*o + 0 + o) + (2 - 2 - 1)*(-4 + 3*o**4 + 4).\nAnswer: -7*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 - (3 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6473.696 millilitres in litres?\nAnswer: 6.473696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p + 3. Let y(i) = 3*i - 1. Let n = -2936 + 2930. Determine n*k(z) - 17*y(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/848 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a48c6 (base 14) to base 15\nAnswer: -7c8d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1848 = 7*m - 1771 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(166\/6972).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*w + 173*w - 36 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/(-36) + -2*2\/8 and -149\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 49. Let l be (-2 - -5) + -3 - t. Let p = l - -112. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863157259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3524, -3031, -2538, -2045?\nAnswer: -1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*y + 1 = 0, 0 = 2*f + 4*y - 5*y - 5. Suppose -13 - 2 = -f*v. Suppose -v*z = -35 - 60. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400*v - 22073 = 29727 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 38*z + 222 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4)*-2 + 0. Let i(m) = 3*m**2 + m - 2. Let v be i(2). Let j be 5\/v*(-3)\/10. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:37 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5555 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14390.\nAnswer: 2, 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {z: 1, k: 7, m: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 + 3*r. Calculate the lowest common multiple of y(3) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {q: 3, k: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2 - 38439833*a + 423855863?\nAnswer: 4*a - 38439833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 p when four letters picked without replacement from eeeepeezkeeeeteez.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 293, 482, 573, 578, 509?\n\"Answer: 2*n**3 - 61*n**2 + 358*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1428)\/(-6) - (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 475, 3620 in ascending order.\nAnswer: 12, 475, 3620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248 + -13235161392.\nAnswer: -13235161144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**4 + 17*m**3 + 18*m**2 + 4*m. Let b(p) = 23*p**4 + 136*p**3 + 145*p**2 + 32*p. Let s(l) = -6*b(l) + 51*g(l). Factor s(h).\nAnswer: 3*h*(h + 1)*(h + 2)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/44*(-10)\/215. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523.14 plus 1?\nAnswer: -522.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 363872053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.77 (b) -2 (c) -5 (d) 2\/47 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252506 is divided by 36069.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3335, -2254, -1179, -110, 953?\nAnswer: 2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5057105*a**2*d*p + 2*a*d*p - 7*a*p + 5*d*p + 4308 wrt a?\nAnswer: 10114210*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1578.000001262 + -1578. What is j rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11688498 and 11688498.\nAnswer: 11688498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -9*s - 7. Solve -s*z = -z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:54 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15175 is divided by 587?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 245 = -759*j + 758*j, 9*v = -3*j + 255 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*q = 10 + 9, -2*b + 21 = 3*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133807.\nAnswer: 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (93 - 57 - 16)*((-20)\/(-24))\/(2\/6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20087 + 20101. What is the remainder when 1046 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 8*i - 3. Let c(b) = b + 20. Let t be c(-13). Calculate p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462884 + -5674385?\nAnswer: -6137269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -201, -222, -243, -264, -285?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5703*f = 5701*f + 284, 0 = 5*w + 8*f + 9*f - 239 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-14) - (0 - (-417)\/(-6)). Suppose 28 = 2*f - n. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1591)\/129)\/37)\/(16\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*w + 45*w - 330 = -45*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1)*6\/15. Suppose 25 = 6*n - n. Let k = 117 - 102. Solve -z*x + k = -n*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 12683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a769 (base 12) in base 15?\nAnswer: 6db30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 18777, 3, -7 in ascending order.\nAnswer: -7, 3, 33, 18777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {t: 1, x: 2, y: 1, p: 4, v: 3, j: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140329760 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**4 - t**4 - 3*t**3 - 7*t + 6*t - 3*t**3 + 4*t**3 to p*t**3 + f*t**2 + i + r*t + q*t**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 374, 372, 368, 362, 354?\n\"Answer: -m**2 + m + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {t: 6, h: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - 2*v**2 + 1. What are the prime factors of i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/3*(-132)\/10. Calculate the common denominator of (6\/(-65))\/(a\/(-1375)) and 55\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 508 (c) -0.156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179 - 178. Put 6, -10, w in descending order.\nAnswer: 6, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42139 - 2367. Calculate the highest common factor of n and 244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12432043531 - 5?\nAnswer: -12432043540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -16224346.\nAnswer: -16224346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {p: 5, e: 7, o: 7}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/(-2352) + 8*12\/112.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**3\/4 + 123*a**2\/4 + 177*a\/4 + 45\/4 = 0. Calculate a.\nAnswer: -1, -1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 12728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:45 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*a + 50 = 18, 2*a = 8. Suppose 5*t = 2*k + n, -2 = 4*k + t + 2. Sort -5, 3, k.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.083 from -79677777158.\nAnswer: -79677777158.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -3. Suppose 5*d = -0*d + 225. Let z = v + d. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1137.094 - -1141. Let a = -27 + 26.906. Let r = u - a. What is the nearest to 1 in r, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/31514346 and -113\/6705180?\nAnswer: 315143460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -34317 - (-7 + 3)\/4. Let b = x + 20116. What is b rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, -34, -18, 1.6, 21?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14848 and -25223.\nAnswer: -3745.11104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*c - 7*b + 45, 22*b - 21990 = -21572 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 2. Let b be y(-3). Let r = b - -41. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -30*u + 477. Let l(z) = -7*z + 117. Give 6*b(i) - 26*l(i).\nAnswer: 2*i - 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 105?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/((-37)\/10 + 4). Let d = 44 - a. Suppose -3859 + 711 = -d*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533 is divided by 320.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3712 is divided by 847?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46971, 93945, 140919?\nAnswer: 187893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**3*w**2 + 13*c**3*w + 36*w**2 - 4*w with respect to c.\nAnswer: 12*c**2*w**2 + 39*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17157, -4, -26 in decreasing order.\nAnswer: 17157, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 91\/42 + 2\/(-12). Suppose -2*g = -3*q - 0*q + 47, -2*g - 42 = -a*q. Is g at most as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31350 and 107635.\nAnswer: 3229050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159621 and 924?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f (base 16) to base 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*h + 1848, 6*h = h + l + 3062. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233 - 230. Find v, given that 5 - 8 - 5 + 2*v + j*v**2 + 8*v = 0.\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 5*m + 1. Let v be j(-4). Suppose -v*t = -3*u + 43 + 12, 2*u - t = 25. Suppose g = 3*g - u. Solve 3*z + 4 = -g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - q - 7, -6*a - 4*q + 11 = -5*a. Let l = -20 - -33. What is the remainder when 10\/a*(-15)\/(-2) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h - 5. Let w(f) = -f - 2. Let u = 12 + -7. Let o(r) = u*w(r) - 2*v(r). What is the second derivative of o(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82148 is divided by 74.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520, 565, 612, 661?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 668 and 9.\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530170323?\nAnswer: 11, 17, 31, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1712943 and 11419620?\nAnswer: 34258860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*y + 551*y - 6695 = -560*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (((-1218)\/(-24))\/(-7))\/1. Which is the nearest to 0.2? (a) j (b) -11 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwlzwhzhb. What is prob of sequence wlhh?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 7:31 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 11*g**2\/7 + 38608*g\/7 - 7020\/7 = 0.\nAnswer: -3510, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*n + 8365 + 8218 = 613*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -28. Let y(l) = -5*l - 27. Let t be y(j). Let d(h) = 5*h + 17. Let w be d(-4). Sort w, 0, 3, t.\nAnswer: w, t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21480 - 21480 + 1235*z**5 + (-2*z + 4 + 4 - 6)*(-z + 0*z - z)*(0*z**3 + z**3 + z**3).\nAnswer: 1243*z**5 - 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*z + 11, -2*c + 2 = -5*z - 8. Let m = 10 + c. What is the tens digit of 30 - 1*(m + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 0.5. Which is the closest to -0.2? (a) o (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*y. Let w(g) = -g + 3. Let t be w(y). Solve -m + t = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoozoozzoo. Give prob of sequence zzzz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 36. Suppose 3*m - 5*m = -14. Suppose a + a = -2*o + i, 2*a = -o + m. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0*u**3 + 0 + 1\/12*u**4 - 2*u**2 + 0*u. Let j(y) be the second derivative of y**4\/4 - 45*y. Give j(b(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 - 4*l + 4*l)*(-1 + 4 + 3*l - 4*l + (3 - 3 - 2)*(-4*l + 4*l - l)) to y*l**3 + t + d*l**2 + r*l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47684933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1, 19 in descending order.\nAnswer: 19, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*(-33)\/(-484)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -23 + 53 + -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 2*u**5\/15 + u**4\/6 - 2*u**3\/3 - 5*u**2\/3 - 4*u\/3 - 9. Determine j, given that c(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -583, -388 in increasing order.\nAnswer: -583, -388, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 - 17*j - 4. Let d be s(5). Let h = 2\/9 + -17\/36. What is the third biggest value in -2\/3, h, 1\/8, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10467221 is divided by 1405.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/135688 and -11\/28?\nAnswer: 135688","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.4 + 27. Let o = -3.1 - a. Let c = -1.85 + o. Round c to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 60*q - 135 = 0. What is q?\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0907 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-288) + 590\/(-18))*(-3)\/(-9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/10))\/h**(-2\/23))\/(h**2)**(-5\/13))\/((h**7\/h)\/h*h**(-10))**(-40) assuming h is positive.\nAnswer: h**(-592749\/2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 32 = 5*l, 2 = -2*x - 0*x. Suppose -62 = -2*s - l. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 5640.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-4))\/(6\/(-48) + 0). Let y be ((-12)\/10)\/((-1)\/5). Let r = p - y. Solve -r*u + 4 - 24 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1173149 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = 2*i + 6, 0 = -3*i + v + 6. Let o = -26 - -103\/4. Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34097 + -19111. Suppose -j - 75014 - g = 0. Round j to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2449*t - 120012. What is d(-49)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/28275 and 76\/8619.\nAnswer: 6248775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*l - 7, -2 = 2*j - 4*l - 18. Suppose -r + j*r - 18 = 0. What is the remainder when 53 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289758*s = -289649*s - 2398 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3306184 is divided by 2769.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5070 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -31*h - 38 - 7*h + 3*h - 33. Is c(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/3 in 6292, -15, -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.06. What is the smallest value in -3, 5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 587 - 454. What is the common denominator of -97\/10 and (-7)\/m*1\/8?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23109\/1406 and 15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017573 take away -151?\nAnswer: 151.017573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73182071 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114632553 - 0?\nAnswer: -114632553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 786, 1235, 2026, 3225, 4898, 7111, 9930?\nAnswer: 13421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319265 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0*(-3)\/6. Let u(o) = b*o**3 + 9*o**2 - 3*o**3 - o - 13*o**2. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnh when three letters picked without replacement from nnhnnhnnhnh.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 87033 divided by -355\nAnswer: -87033\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0159 and -0.14.\nAnswer: -0.1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 152975 = -3*x + 6*x, -3*x = -o + 30595. Is 211 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 13*g + 4. Let d be ((-12)\/8)\/(g\/(-4)). Factor -3*y**3 - 7*y - 12 - 13*y + 8*y**3 - 4*y**2 - y**d.\nAnswer: 4*(y - 3)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5596979.\nAnswer: 67, 83537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 10:26 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from rrrrrrrq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 5:01 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thgtt. Give prob of picking 1 t and 1 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 37. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 0 + 1 - 3. Let g be n(-2). Suppose 0 = 4*f + 5*u - 9, -3*f + g = 4*u - 5. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -4\/7, 0.5, -4 in ascending order.\nAnswer: -143, -4, -4\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -2.4417.\nAnswer: 39.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55368, 110713, 166040, 221343, 276616, 331853, 387048, 442195?\nAnswer: 497288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + 0.8. Let o = z + 0.3. Suppose 0 = -0*h + 5*h + 2*u, 5*h - 2*u = 0. Put 0.4, o, h in descending order.\nAnswer: 0.4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 15*f**3 - 9*f + 11*f + 2*f**3 + 2*f**3 - 7*f**3 to the form g + o*f**3 + n*f**2 + c*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-258)\/((((-24)\/70)\/(-2))\/((-940)\/329)) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-398)\/(-3) - (-2 + 1). Let z(g) = -16*g + 3. Let s be z(8). Let v = c + s. What is the common denominator of v and -61\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -289, -421, -543, -655, -757, -849?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 20 = 5. What is the hundreds digit of 2\/3 - ((-358)\/3 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/(-544) - 127\/(-336))\/(6\/(-133)).\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*s + 2*x + 19, -2*x - 6 = 2*s. Let m be (4\/(-36))\/(s\/(-16)). Let z = 1 - 2. Which is the closest to -0.1? (a) m (b) z (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -830*m**5 - 234*m**5 + 191*m**5 - 2*m + 2*m + 4*m**5 + (0*m**2 + 0*m**2 + 2*m**2)*(-3*m**3 + 0*m**3 + m**3) + 0*m**5 + 2*m**5 - 4*m**5.\nAnswer: -875*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000991 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16 - 85\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7 = 3*v, 4*m + v - 71 = -65 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 17 + 2 = 0. Let s(d) = -d**f + 4*d**2 - d - 5*d**2 + 0*d**2 + 22. What is the tens digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -53. Let o = 131 + m. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:02 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/1183*203\/58\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84000 and 6475?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 - -16.14. Let y = f - 11. Which is the third smallest value? (a) -2\/11 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20635*0.11.\nAnswer: -2269.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 9*o**2 + o + 13. Let c be b(-9). Suppose 0*i = c*u - i - 390, 5*u - 494 = -2*i. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 754703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 7. Let n be q(-4). Suppose 3*t - 212 = -i, -2*t + 112 = n*i - 34. Suppose 2*v + 0*v = 2*f - 28, -t = -5*f + v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353939506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from {c: 2, m: 8, q: 6}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 121, 180, 235, 286, 333?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0070731 to four dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742 and 954?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -219, -425, -635, -849, -1067, -1289?\n\"Answer: -2*u**2 - 200*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {v: 1, z: 5, a: 1, g: 5, f: 4, p: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4 - 48. Put d, 1, 5 in decreasing order.\nAnswer: d, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 (base 7) in base 8?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 16*n - 11128. Let h = -12 - -2. What is the units digit of 4\/h + n\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3.2 (c) 0.17 (d) -235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5677?\nAnswer: 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/12)\/(-2) + (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95255 is divided by 307.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17921.50179 + 17922. Round g to 3 dps.\nAnswer: 0.498","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243 + 231541?\nAnswer: 232224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0211415252 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voooowooo. What is prob of sequence vo?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 297219826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/121? (a) -10580\/19 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.2 (b) 1\/3 (c) 2 (d) 2033928\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15201 + 5070 + 5063 - 206*d + 5068.\nAnswer: -206*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -8. Calculate the remainder when 91 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -20) + 7 + -26 - 7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2515270.32ms?\nAnswer: 0.029111925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124*w**2 + 568*w**2 + 557*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1717469 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 6. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136 - 32 + 2372*z**2 + 30 + 118 wrt z.\nAnswer: 4744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 690*l - 70*l + 305*l - 114*l + 2 - 3 to y*l + n and give y.\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2. Suppose g + 15 = -2*g. Let s(k) = 2*k + 11. Let t be s(-7). Let x(w) = 7*w**2. Give g*i(f) + t*x(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 5. Let n(u) = u**2 - 3. Let v(j) = 5*n(j) - 3*x(j). Let p(f) = -2*f**2 + 4*f + 5. Let c(g) = -p(g) + v(g). What is c(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 (base 7) in base 2?\nAnswer: 1000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {p: 5, m: 1, c: 14}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -262 (c) 16 (d) 5\/4 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/2)\/(x**14*x)*((x\/(x*x\/(x\/(x\/(x**(1\/34)*x))))*x)\/x)**(-8) assuming x is positive.\nAnswer: x**(-535\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1. Let a(w) = 5*w**2 - 6. Let x(j) = -a(j) - 6*z(j). Let p(b) = 15*b - 43*b + 21*b. Calculate p(x(g)).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmhhmllh. What is prob of picking 3 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 2*r)*(-2*r**3 + 2*r**2 - 2*r**2)*(-4*r + 3*r - r).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 10*l**2 - 10*l - 9. Let z be x(-9). Suppose -42 + z = -3*j. Let n = 16 - j. Solve 0 = -b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 2. Let g be l(2). Suppose g*z - 9 = -19. Sort z, 5, 1 in decreasing order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 7\/4*s**4 + 14 + 0*s**3 + 0*s**2 + 26*s. Differentiate w(r) with respect to r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -15726*x**2 - 975*x**3 - 577*x**3 + 15725*x**2 + x in the form w + f*x**3 + j*x + v*x**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z. Let d be r(-2). Let c be 6*((-6)\/d + 10\/(-6)). Which is bigger: -11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7519342337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*w**2 - 1134*w**2 - 546*w**2 - 1367*w**2 + 369*w**2 to the form r + p*w + g*w**2 and give g.\nAnswer: -2904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.771, 0.5, -9, -1, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-30)\/2940*63\/(-54)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 + 2.1. What is the nearest to 1\/10 in 4\/3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 38715.\nAnswer: 5\/7743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*(sqrt(1573) + 2))**2 + sqrt(1573) + sqrt(13) + sqrt(13) + (-2*sqrt(1300))**2 + -4).\nAnswer: -58167 - 1227*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 657*l**4\/4 + 1367*l**3\/3 - 1283. What is the third derivative of y(r) wrt r?\nAnswer: 3942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 34*b - 102. Suppose -90 = -52*m + 47*m. What is the remainder when v(-7) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m + 1. Let s be p(0). Let d = s + 2. Suppose 475*x - 17 = 472*x + u, -2*x = -u - 15. Solve d*j + 3*l + 5 = x, j + 5*l - 7 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4231 (base 6) to base 14.\nAnswer: -4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114241483\/29055 - 58979\/15. Calculate the common denominator of -28\/117 and a.\nAnswer: 17433","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11546\/7 + 1654. Calculate the common denominator of (1 - 0) + 86\/(-6) and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -746732 and 25415.651?\nAnswer: 772147.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -740242183 + 5?\nAnswer: -740242177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 199212*z + 199212*z - 596 - 59.\nAnswer: -4*z**2 - 655","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 5 - ((-144)\/(-42))\/((-12)\/42).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (9 - (-6 + 10 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) -0.5 (c) -0.028 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1248830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1110101100110011?\nAnswer: 1110101100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -41 - 20) + (5 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-4)*(-60)\/(-35). Let v(k) = -k**2 + 5*k. Calculate v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851881618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + -441023?\nAnswer: -441001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1832*m**3*t**3 - 3*m*t**2 + t**3 - 6599 wrt m?\nAnswer: 5496*m**2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 - -179. Suppose j = 13*r + 2*r - 5400. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 6, -86, -112 in decreasing order.\nAnswer: 12, 6, -86, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**3 - 28*u**2 - 65*u - 12. Calculate s(-6).\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + (5 - 5). Let z = -3 - -3.2. Which is the closest to z? (a) 2 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.63 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3588 + 3592 + 3589 - 67*a - 10769.\nAnswer: -67*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 26706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2. Let d(z) = 155*z**2 + z. Determine h(d(w)).\nAnswer: -24025*w**4 - 310*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93741919*q**4 - 53785831?\nAnswer: -374967676*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19140 and 5742?\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45620, 45619, 45618, 45617, 45616?\nAnswer: 45615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 18*x + 67 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1760 and 61\/73546960.\nAnswer: 1618033120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2948\nAnswer: -5\/2948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 408 - 408. Solve k + i + i - 9 = q, -i + 6 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3705151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 10*q**2 + 8*q - 3. What is f(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 55120438 - 55120438.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3929334 is divided by 436592.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -24?\nAnswer: -29\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 223, -48, -527, -1214, -2109, -3212?\n\"Answer: -104*h**2 + 41*h + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 101*q + 165. Calculate h(-3).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1326)\/17*27\/(594\/11)*6\/9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-24) + -1 - 95\/(-20). Suppose -2*v + 849 = 5*b, 3*b = c*v + 123 + 374. Let a = 38 + 19. What is the remainder when b is divided by a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 174*k**2 + 42*k + 84. Let a(h) = -42*h**2 - 10*h - 20. Let v(g) = -21*a(g) - 5*m(g). Let o(p) = -472*p. Calculate v(o(r)).\nAnswer: 2673408*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 4*d**2 - 4*d - 3. Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 79. Let z = -25 - q. Which is the second biggest value? (a) 0 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010000 (base 2) to base 16\nAnswer: -2d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 1. Let m(r) = -r**3 - 10*r**2 + 26*r + 164. Let y be m(-11). Calculate w(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/16*6\/18. What is the second smallest value in -2, 4\/3, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/((-2)\/(-5)*-25))\/(3\/15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 49241 + 21562. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.1097 weeks in seconds?\nAnswer: 55103146.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 0)*(3*l**2 - 4*l**2 - l**2) + l**2 + 2 - 2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -28159.3 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2277, -2267, -2245, -2199, -2117, -1987, -1797, -1535?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78868668?\nAnswer: 2, 3, 6572389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*h = 288*h - 12. Find the third derivative of 49*o**2 + 97*o**2 - 156*o**4 + 43*o**h wrt o.\nAnswer: -2712*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, d: 3, q: 3}. What is prob of sequence qdqm?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.989 - -0.011. What is the third smallest value in a, 2\/7, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -669843177*s. Let z(v) = v**2. Determine w(z(q)).\nAnswer: -669843177*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from {o: 3, a: 9, g: 7}.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*n**3 - 5*n**4 - 2*n**2 + 27*n**3 - 2*n + 3*n in the form d*n + a*n**2 + r*n**3 + w + o*n**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14589?\nAnswer: 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - c**2 - 2*c - 9*c**2 + 2 + 9*c**2 to the form a + s*c**2 + r*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 234.4338478 and -1257.9.\nAnswer: -1023.4661522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 = s, 21*o - 20*o = 3*s + 7. Let t(x) = 3*x - 7. Calculate t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a. Let r(t) = 226*t + 11484. Give n(r(l)).\nAnswer: -678*l - 34452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*h - 5*v, -h + 0*v = 3*v + 5. Let q(r) = -197*r**2 + 3*r + 4. Let y be q(h). Round y to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(17))*2*-2)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Suppose -f - 75 = p, c*p - 4*p = 3*f + 227. Round f to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -108. Let g = -15957.07005 - -15967.07004999. Let a = y + g. Round a to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 16*c**2 - 30*c + 30. Let x be y(16). Let q = -2191 + x. What are the prime factors of q?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -200*k - 43800. Give n(-219).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + i + 3*i)*(25 + 19 - 1) to the form z + n*i and give n.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 556.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 21*l**3 + 41*l**2 - 174*l + 73. Determine q(4).\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*i**2)*(3 + 2 - 7) - 491*i**2 + 222*i**2 + 161*i**2.\nAnswer: -114*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2322 and 115\/10062?\nAnswer: 30186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 164, -25, 0 in ascending order.\nAnswer: -25, 0, 12, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/37, -2\/109, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -258, -902, -1942, -3384, -5234, -7498?\n\"Answer: -a**3 - 192*a**2 - 61*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-28)*l*(l\/l**(2\/53))\/l*l)\/(l**(23\/3)\/l**35) assuming l is positive.\nAnswer: l**(206\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*m**2 - 36*m + 12 + 3*m**5 + 9*m**2 + 5*m**4 - 4*m**4 - 3*m**3 - 10*m**4.\nAnswer: 3*(m - 2)*(m - 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z - 2. Let t(c) = -2*c**2 - 10*c - 1. Let p(m) = -3*i(m) - t(m). Calculate p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 48 - 3\/4*y**4 - 12*y - 33\/4*y**3 - 27*y**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-399920.63.\nAnswer: 39992.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 12*k**2 - 35*k - 100. Let u be p(-14). Let m(q) = 8*q - 1. Let f(x) = -2*x. What is u*m(o) - 9*f(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73103.148 and 2.\nAnswer: 146206.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.4 - 7.4. What is the second smallest value in -0.2, -63, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1265*y**2 + 486*y**2 - 296*y**2 - 144*y**2 + 887*y**2)*((5*y + 0*y + 3*y)*(-4 + 2*y + 4) + 0*y**2 + 3*y**2 - 4*y**2).\nAnswer: 32970*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:31 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 10*d + 4 = -c, -3*c + 26 = -10*d. Solve c = 2*z, -5*b + 4*z = 9*z + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*y**3 - 2*y**4 + 21*y**3 + 2*y)*((-3 + 3 + 2)*(y - 2*y + 2*y) + y - 2*y + 3*y - 2*y - y - 17*y).\nAnswer: 32*y**5 - 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 98 + 359. Let d = 29 + c. What is the derivative of 3*a**2 + d*a**2 - 4 - 9*a**2 - 17 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 235.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/((sqrt(75)\/sqrt(3))\/sqrt(5))*4.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, s: 2, o: 3, l: 7, t: 1}. Give prob of sequence ol.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**5 - 6*v**5 + 5*v**5 + (2*v**2 + 2*v**2 - 2*v**2)*(-469*v**2 - 32*v**3 + 469*v**2).\nAnswer: -70*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-1)\/(-9) + (-66)\/297. What is the closest to y in 1, -1.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 2. Let m be 120\/15*(-10)\/4. Let z = -22 - m. What is the lowest common multiple of 1 and b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -23*o + 56 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-189)\/(-378))\/((-2)\/28). Which is the second biggest value? (a) 9 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-12))\/(2\/16 + (-33)\/792). Let z be 39\/(-6) - 2\/4. Let v = z + -2. What is the second biggest value in l, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*l - 6 = 4, 0 = 5*x + 3*l. Suppose -x*j = -10*j + 910. What are the prime factors of j?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-280) - ((-4)\/10)\/2. Let k(p) be the third derivative of -z*p**4 + 0*p**3 + 5*p**2 + 0*p + 0. Let w(i) = i**2. Calculate w(k(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 q, and 1 p when four letters picked without replacement from {n: 3, t: 1, l: 1, q: 4, p: 8}?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*i - 12 + 2, 0 = -q - 5*i + 2. Let u be ((-1)\/q)\/((-2)\/(-24)). Let z = u - -12. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10950 divide 3616485674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y - y + y)*(145 + 28*y - 145) - 2*y**2 + y**2 - 2*y**2 to the form d*y + a + f*y**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24664 divided by -6.\nAnswer: -12332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.32 and -129713.159408.\nAnswer: -129712.839408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*k + 6 + 20 = 0, 5*l + 5*k - 40 = 0. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 77, 96, 133, 194, 285, 412?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 17, k: 2}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-18)\/20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 - 17\/3*a**3 + 29\/2*a**2 + 22*a. Is 41 a factor of y(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18239 * 5.6.\nAnswer: -102138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 + 27*n**2\/5 + 3*n\/5 - 27\/5.\nAnswer: -3*(n - 9)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3 + 750*k**2 - 44385 with respect to k.\nAnswer: -3*k**2 + 1500*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = 28 - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(10\/4 + -3). Suppose 144 = -2*t + l*t. Let j = 362\/5 - t. Which is smaller: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2323*b**2*h**2*x**2 + b**2*x + 2*b**2 + 105*b*h*x**2 - 38*b + 2*h**2*x**2 + h*x - 3*h wrt h?\nAnswer: 4646*b**2*x**2 + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, 48, -0.1, 390?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2174.373 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.08? (a) 5 (b) -0.22 (c) 3\/197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4664070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191543 + 676.8.\nAnswer: 192219.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10177 + 10177.3. Let w be (-2)\/(-8) + (-31)\/(-4). Which is the closest to 1\/3? (a) f (b) w (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12237725\/173761 + 2\/24823. Let x be (284\/154)\/(72\/(-2826)). Let w = g + x. Calculate the common denominator of 103\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 137.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 7, 38, 103, 214?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 1. Let m be y(1). Let l be (-6)\/12 + 5\/m. Solve 4 = l*a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.1, 2, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4392.51183 minutes to weeks.\nAnswer: 0.4357650625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2691, -3778, -4865, -5952?\n\"Answer: -1087*t - 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799*w + 1854*w = -55. Which is the third smallest value? (a) w (b) 8 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -59, -58, 158, 4.\nAnswer: -59, -58, -3, 3, 4, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 14, o: 5}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 24*n - 42. Let r be o(22). Is (-1)\/r*(-3 - -4)*-16114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 2 + 2 + -3. Let t be 2 - 0 - a\/2. Let h be t\/6*(1 + -7). Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/600 and 139\/39600.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 200, 158, 118, 80, 44, 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231087 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2876*p**4\/3 - 40258*p**3\/3 + 14408*p**2 - 30*p = 0. Calculate p.\nAnswer: -15, 0, 3\/1438, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 u when four letters picked without replacement from uupuguuuupuuupuu?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99628106 and 2313.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -10 - (6 + 1) - 9) + 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 - 3*y + 852. Let k be w(0). Suppose 6*s - 8*s = 3*h - 1739, -5*h = s - k. What are the prime factors of s?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116378603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4902491 - -19497509. What is o rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673854 = -4*k - 19*h + 21*h, 0 = -4*h - 36. What is k rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 c when four letters picked without replacement from {q: 4, v: 1, x: 3, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 4. Let n(p) = -p**3 - 7*p**2 + 3*p + 16. Let q be n(-7). Which is the smallest value? (a) q (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**2 - 517*r - 22. Let c(x) = 5*x**2 - 258*x - 10. Calculate -13*c(f) + 6*m(f).\nAnswer: f**2 + 252*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144, 472, 1172, 2424, 4408, 7304, 11292, 16552?\n\"Answer: 30*w**3 + 6*w**2 + 100*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4730*m**2 - 579 - 16*m**3 + 4728*m**2 - 14*m**3 wrt m?\nAnswer: -90*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.94, -133, 6 in ascending order.\nAnswer: -133, -0.94, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/((-251)\/((-5665070)\/(-366)))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auo when three letters picked without replacement from {o: 6, e: 2, d: 3, u: 2, a: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27906858 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 3*a - 4. Calculate x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 + 390 + 2*a - 200.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) -4 (b) 3 (c) 1\/6 (d) -809 (e) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 18. Suppose v*f = 12*f - 69. What is the remainder when 66 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -295, -238, -167, -88, -7, 70, 137, 188?\n\"Answer: -j**3 + 13*j**2 + 25*j - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 0*d**2 + 1 + 2*d**2 + d - 5*d**2. Suppose -2*t - 1 + 2 = -3*b, -16 = -2*b - 2*t. Let p be k(b). Put p, 3, 2, -3 in decreasing order.\nAnswer: 3, 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((2*sqrt(22))\/sqrt(2) - sqrt(11))**2*2 - (0 + 1 + (sqrt(11) + sqrt(22)\/sqrt(2))**2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventeen sevenths of a week?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2 - 1689. Suppose -3*o + g + 11 - 2 = 0, 0 = o - 2*g - 8. Let v(s) = 0*s**2 - 2*s**2 - 2*s**o. Determine a(v(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.01 + -0.31. Round l to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35715677*0.5.\nAnswer: 17857838.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249184078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 509 (base 11) to base 2\nAnswer: 1001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -887, -887, -885, -881, -875, -867, -857?\n\"Answer: t**2 - 3*t - 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b - 40 + 40 + ((0*b + 0*b - 2*b)*(-4 + 1 + 2) + 3 - 3 + 2*b)*(1 + 3 - 2).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.245 + 86.245. Let o = j + -89. Which is smaller: o or -29\/3?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 356\/63 + -668\/105. Let v = h - 4\/45. Let a = 5.6 - 6. What is the closest to 0.1 in v, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 191, 381, 681, 1127, 1755, 2601?\nAnswer: 3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163950 is divided by 2153?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -202 + 70*n - 16*n + 24*n. Does 22 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let d be (-81)\/(-63) - (-2)\/(-2). Sort l, -0.1, d.\nAnswer: -0.1, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -99. Let j = h + -33. Sort -0.2, j, -13 in ascending order.\nAnswer: -13, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -4*c. Suppose -3*p - c*p = 0. Suppose p = -2*s + 3 + 7. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 14. Suppose k + n = t, -4*t = -t - 3. Let s = k - -1. Solve s - 2 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22099 divided by -22099.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 23*c**2 + 28*c + 101. What is h(-6)?\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 71.4203 and 17?\nAnswer: 54.4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -832785, -1665568, -2498351?\n\"Answer: -832783*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212\/2226 + (30682\/84)\/(-29)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {i: 2, y: 3, e: 2, t: 6, c: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 + x + 1. Let p = 294 - 283. Let k(j) = -4*j + 43. Let o be k(p). Give q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367885499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002598019 rounded to 6 decimal places?\nAnswer: -0.002598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 708*o - 21. Let c be t(14). Let q = -17080 + c. Calculate the common denominator of 17\/2 and 2\/14*q\/(-78).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 201, 715, 1741, 3453, 6025, 9631?\n\"Answer: 29*v**3 - 5*v**2 - 12*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.46 times 0.05?\nAnswer: -1.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34.133178 and -22.5227.\nAnswer: 11.610478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(9) + 1*sqrt(9)))\/sqrt(2))**2 + 4 + (sqrt(2) - 6*(sqrt(8)\/sqrt(4))**2).\nAnswer: -15\/2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69952?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 16*n + 0*n**3 - 39\/2*n**2 + 9\/20*n**5 + 0*n**4 + 0. What is the derivative of g(z) wrt z?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -30. Let n = -0.3 + -0.1. What is the closest to 1\/3 in n, b, -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t**2 + 849*t - 11076. Give s(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3000004 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 y when three letters picked without replacement from ybyyhyyyyybyllyy.\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 372 = -4*m, 0 = -m + 22*g + 2. What is the lowest common multiple of m and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8620 divided by 1724.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1501\/2 - 723. Let p = 30 - t. Which is the nearest to 3\/2? (a) 2\/3 (b) p (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 349674.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 8*n - 2*n)*(-8*n**2 - 7 + 7) + (4*n**2 - 3*n**2 + 0*n**2)*(-4*n + 5 - 5).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11571 and 4389.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1319 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 18*t**2 - 2*t - 54. Determine j(17).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from qqienqiqntniie.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220230021 (base 4) in base 10?\nAnswer: 428809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**3 - f**2. Let i(b) = 6*b**3 - b**2. Give -7*i(a) + 6*w(a).\nAnswer: -6*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/3 + 52043*k**2\/3 + 69396*k = 0.\nAnswer: -4, 0, 52047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122556101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42101218, 84202426, 126303634, 168404842, 210506050, 252607258?\n\"Answer: 42101208*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 2 - y**3 - 2 + (-31*y - 14*y + 10*y)*(-3*y**2 + 3*y**2 + y**2) + 4*y**3 + y**3 - 2*y**3.\nAnswer: -33*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 2*a - 8. Calculate z(-9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/2483 + 9950\/22347. Let y(c) be the second derivative of 1\/54*c**4 + 0 + a*c**2 + 9*c - 4\/27*c**3. Factor y(g).\nAnswer: 2*(g - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-269)\/112 - (-117)\/78 - (28 - (-402)\/(-14)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k**2 + 287*k + 14. What is the hundreds digit of x(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 195 = -0*r. What is the greatest common divisor of r and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 2*s = -24*w, -3*w = 4*s - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 694077208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62\/177 + 1\/59. Let u = 849559\/75 - 33982\/3. What is the biggest value in 2, 0.4, b, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvh when three letters picked without replacement from {m: 1, v: 6, u: 1, y: 2, f: 3, h: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**5\/15 + h**4\/3 - 15*h**2\/2 - 14. Let d(l) be the second derivative of a(l). Factor d(o).\nAnswer: 4*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3555084 or -3555166?\nAnswer: -3555084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 173*o - 183*o + 356*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -6.3. Which is the nearest to -1\/3? (a) -1 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a - 3. Let s be (4\/(-2))\/(a\/(-4)). Let q(c) = -c**2 - 18*c + 7. Is q(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 14*r**2 + r + 5. Calculate a(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80045 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 b(m) = 2*m**3 - 34*m**2 + 44*m + 118. Calculate the least common multiple of b(16) and 248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82755 is divided by 10343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4831 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 6 - 4. Suppose x*s - 18 = 222. Calculate the remainder when 237 is divided by s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 10*f + 15. Let y be a(10). Suppose -w + 4*h + 25 = -23, 5*w - 174 = -2*h. Let u be 13 - w\/6 - 1. Solve u*v + y = 11*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*10\/10 + 21\/(-11). Let w = 1624\/5 + -335. Which is the third biggest value? (a) w (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 165 = 2*x. Suppose 4*g - x*g = -176. Solve 0 = -5*f + t - 25, 0 = -f + 5*t - g - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 41*t**2 + 112*t + 2452. Let v be j(36). Suppose -7*o**3 + 15\/2*o - 17*o**2 + 25\/2 + 9\/2*o**v - 1\/2*o**5 = 0. Calculate o.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*r = 16, 8*r - 8 = -3*w + 3*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1949060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 164 - 107 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.01 (c) 1031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.103.\nAnswer: 0.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-90) - (-86)\/(-30). Let k(r) = 7*r + 2. Let f(g) = -6*g - 2. Let u(h) = q*k(h) - 4*f(h). Let o(p) = 8*p + 5. Give -4*o(d) + 11*u(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -58. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 22 = 0. Calculate the remainder when 21 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 3 + 2 + 22 + -10 - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*b + 55*b - 60. Let a be ((-6)\/(-12))\/((-1)\/6). Is (4\/b + a)*-30 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8*f - 6*f + 60 = 0, -5*f = 4*t + 66. Let s(r) = -26*r + 307. List the prime factors of s(t).\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*2\/(2\/28267) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**3*s**2 + 415*k**3*s + k**2*s - 11*k**2 + 1203*k*s**3 wrt s?\nAnswer: 8*k**3 + 7218*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29531291?\nAnswer: 37, 798143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 63 = 21. Suppose -4 = 4*t - 6*t. Suppose 2*a - 14 = 3*l - 57, 5*l + t*a = 45. What is the remainder when b is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + 0. Let g = r - 42. Suppose 1738 = g*v + 2*v. 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: Four letters picked without replacement from mvmmq. Give prob of picking 2 m, 1 v, and 1 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 147 = 167. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*a - 59*a - 57*a - 52*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85638.\nAnswer: 2, 3, 7, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 869236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*i**2 - 6*i + 2 + 6*i)*(25 + 34 - 65 + 10*i) as f*i + g*i**2 + v*i**3 + a and give v.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491*l + 431*l + 340440 = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 52310?\nAnswer: 52309.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 385044.\nAnswer: 385044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 24. Give z(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 10:21 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*b**6 - b**4 - b**2 + 63 wrt b.\nAnswer: 21000*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9042*q = -9655*q + 8582 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - -2) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 49 - 38 + 67*z + (-z + 5*z - 5*z)*(-1 - 1 + 4).\nAnswer: 65*z - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 3*l + 3. Let p be h(2). Let i(b) = -b + 1. Let q(j) = j**2 + 6*j - 6. Let m(t) = p*q(t) + 6*i(t). Factor m(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6720, 13501, 20268, 27015, 33736, 40425?\n\"Answer: -f**3 - f**2 + 6791*f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 17*h + 8*h to the form u*h + i and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:56 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 196*y - 1175. Give v(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2dd (base 16) to base 14\nAnswer: 3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -37.\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1581 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/312)\/((66\/(-8))\/(-11))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1998 in -0.5, -0.1, -1\/3, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a + 2*a - 5*a)*(-4 + 0 + 5) + (-8 + 8 + 2*a)*(1 + 3 - 2) - 4*a + 4*a + a)*(-17*a**4 - 46*a**4 + 16*a**4) - 3*a**5 + 0*a**5 + a**5.\nAnswer: -190*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 + -0.10591.\nAnswer: -0.90591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211243532 - 12?\nAnswer: -211243544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 + 3*v**2 - 2*v + 1. What are the prime factors of g(-3)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268108303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 88 + 272 = 0. Calculate the greatest common factor of 70 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6*n + 440 = -7*n, n = -4*q + 886. Calculate the greatest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4512, -4511, -4510, -4509, -4508, -4507?\nAnswer: -4506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4023 - 11?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 5*d. Let h be c(-4). Let y(m) = 6*m - 5. Let a be y(h). Let x = 59\/2 + a. What is the smallest value in -4, -0.4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 33\/313 (b) 1\/3 (c) 1 (d) -2 (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 12 = -3*s, 7*s - 5*c - 8 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 25518082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-369 + 7472450\/20298)?\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 2336*b + 7010. What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*f**4 - 29*f**4 + 43*f**4 + (-3*f**3 + 9*f - 9*f)*(2*f - f - 2*f) to the form q + s*f + r*f**2 + z*f**3 + a*f**4 and give a.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 + 32*w**2 - 4277*w + 1259*w + 3019*w.\nAnswer: 45*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*f + 18, 14*w + 7*f = 15*w - 11. Factor 0 + 1\/4*y**w - y**2 + 2*y - 1\/2*y**3.\nAnswer: y*(y - 2)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1631, -6507, -14631, -26003, -40623?\nAnswer: -58491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 (base 12) in base 4?\nAnswer: 32010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/5 + 202812*a\/5 + 202802 = 0.\nAnswer: -101401, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.329 + 2.829. Which is the closest to -6? (a) 3\/8 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -339492 times 0.042\nAnswer: -14258.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1) + (-1 - -8). Solve 3*g + t = r, 0 = -5*r - 5*g - 24 - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 2, c: 4, i: 4}. Give prob of sequence dei.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5*q**3 + 1180*m**3*q - 102*m**2 - 28*m*q**3 - 2*q**3 + 4100*q wrt m?\nAnswer: 20*m**3*q**3 + 7080*m*q - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 375 + -373. Suppose 2*s = -0*s. Suppose b + 3*o - 83 = t*o, 2*b + 3*o - 169 = s. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132402012 is divided by 1867?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, i: 4, n: 1, l: 1}. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 3*p + 6. Let q be n(-4). Suppose -3*h = 11 + q. Let z = -4 - h. Solve -z*m - m = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 68 = -0*w. What is the lowest common multiple of w and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-3 + 3 - -13). Let a(u) = 2*u - 12. Let r be a(v). Calculate the highest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02496, 2\/13, 5\/4 in increasing order.\nAnswer: -0.02496, 2\/13, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -14 - (1 + 4) - (-8 - 24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 10\/3 - (-22)\/(-33)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 5)*(6 - 6 + 4*y) - 5*y - y - 15*y - 4*y - 3*y + 6*y + (-1 + 3 - 4)*(3 - 2*y - 3) - y + y - y in the form d*y + h and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -945, 0, -72, -2 in decreasing order.\nAnswer: 0, -2, -4, -72, -945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1002011 (base 3) to base 5\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-10))\/(198\/(-220))*-9. Let u(c) = f*c - 5*c - 5*c - c. Let o(r) = r**2 - 59*r. Give u(o(y)).\nAnswer: -5*y**2 + 295*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7 - 7*s - s**3 - 6 + 9*s - 7*s**2. Let a(t) = -2*t**3 - 13*t**2 + 5*t + 3. Let q(j) = -3*a(j) + 5*x(j). What is q(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0*b**5 + 0*b**2 + 0*b**3 + 1\/3*b**4 + 0 + 0*b**7 + 3\/56*b**8 - 6*b + 0*b**6. Find the third derivative of s(z) wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/79, 1, 5 in decreasing order.\nAnswer: 5, 1, -1\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/31818? (a) 0.1 (b) 1 (c) -1 (d) -0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -83904 = -6*c + 78336. Is 160 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 3*n + 0*n)*(-142 - 188 - 27 + 65 - 252).\nAnswer: 3264*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960423*x**2 + 4*x - 4*x + 960423*x**2 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -12*g**2 + 53*g - 4. Suppose -2*n - z = -13, 20 = -4*n + 6*z + 6. Let t be u(n). Solve 10*q - 2*q - t = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 515 - 563. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (19773\/7098)\/((-182)\/49)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -92. Differentiate 57 - 120*z + 3*z**g + 6 + 124*z with respect to z.\nAnswer: 6*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 + 20841*w**2 - 20841*w**2.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2904) - (-3*sqrt(288))\/sqrt(12))\/((sqrt(72) - 2*sqrt(72)*-1)\/(sqrt(9) + -1*sqrt(9)*-1 + sqrt(9) + sqrt(9))).\nAnswer: 100*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 4. Let u be -3 + 0 + (-4 - -10). Let h(x) be the second derivative of -1\/2*x**3 + 0 + x + 7\/2*x**2. Calculate u*h(m) + 5*g(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/22*1 - 5103399\/(-1909435)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 1. Let f = 0.2 + l. Let z(g) = -67*g - 63. Let n be z(-1). Which is the closest to 0? (a) 2\/3 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/26700 and -25\/3916.\nAnswer: 293700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = 3*t - 156, -3*n = -2*t - 171. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 512010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 0*l - 4*l + 5*l - 2*l + 3*l + (-3 + 0 + 1)*(-6*l + 5*l - 9*l) as q*l + y and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v + 19. List the prime factors of k(-12).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 7.5. Let h = j + -2.5. What is the third biggest value in -1\/2, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3869919420 to the nearest 100000.\nAnswer: -3869900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -46*g**3 - 50*g**2 + 88*g + 8 = 0.\nAnswer: -2, -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/3))**(1\/13)\/(g\/g**(-2\/13)*g\/(g*(g**1*g)\/g)))\/(g**(-2)\/g*g*g**(-4)*(g**(-2\/7))**(17\/2)) assuming g is positive.\nAnswer: g**(2287\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211545 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 2. Let u be 2 - 3 - 1\/1. Determine o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 190, 513, 946, 1489?\n\"Answer: 55*d**2 + 158*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 169\/5 - (-6)\/30. Suppose 4*f - h = -3*b - f, -2*b + f + 14 = 0. Suppose b*j**2 + 8*j**4 - 3*j**4 - 4*j**2 + 0*j**5 + 8*j**3 + j**5 = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 170*m + 951. Let k be z(79). Solve 0 = -2*p - r - 9, -5*p - 206 = k*r - 184 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7\/4)\/j)\/j)\/j**(-6) assuming j is positive.\nAnswer: j**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**4 + 17*b**3 - 108*b. Let o(p) = 2*p**4 - 6*p**3 + 36*p. Let l = 43 - 60. Let q(m) = l*o(m) - 6*r(m). Find the second derivative of q(s) wrt s.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from tmtmt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -805 + 8861\/11. Let f(r) = -r**2 + 10*r + 4. Let h be f(10). Let q = -14 - -13.6. Sort -1\/3, h, q, j in decreasing order.\nAnswer: h, j, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2018*r + 100. Let o(m) = 4037*m - 233. Give 3*o(q) + 7*t(q).\nAnswer: -2015*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 148801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 + -f8fb?\nAnswer: -f8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 + 5 - 11*o - 5.\nAnswer: -11*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 5*t**2 - 6*t.\nAnswer: -t*(t - 3)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(6\/7))**22 assuming m is positive.\nAnswer: m**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/4))**(-7)*((p*p\/(p\/(p**(2\/3)\/p)))\/p)\/(p*(p**(-4\/5)*p)\/p) assuming p is positive.\nAnswer: p**(-557\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let q(a) = -12*a + 23. Determine 4*c(u) - q(u).\nAnswer: 4*u - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*l + 156 = 0, 5*b - 409 = -5*l + 356. What is the highest common divisor of b and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2620322*h**6*r - 42*h**2 + 3850*h*r wrt h?\nAnswer: -314438640*h**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868603?\nAnswer: 868603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -4.6?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/24 + n**3\/6 + 9*n**2. Calculate c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1464320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3349421527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414763655.\nAnswer: 3, 5, 19, 59, 84137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 167, 210, 267, 332, 399, 462?\n\"Answer: -j**3 + 13*j**2 + 11*j + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -143?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 72, 66, 48, 12?\n\"Answer: -z**3 + 3*z**2 - 2*z + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21)*3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974?\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 10. Let v = r + 43. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -263 and 1.7.\nAnswer: -447.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 12 = -3*z - 2*y, 5*y - 4 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1246 + 821. What is the common denominator of 89\/236 and 17 + -11 - j\/30?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -173*w - 3. Suppose 0 = q + 2*f - 37, 5*q - 2*f - 104 = 117. What is the remainder when s(-1) is divided by q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + 1*sqrt(17).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, -3 in increasing order.\nAnswer: -3, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 + 5. Give b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 3 - 7 + (-4 + 5 + 0)*(1 - 3 + 4) + 3 + 4 - 4)*(-8*x + 0*x - 6*x) to the form l + a*x and give a.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -243653539 and -0.1196996.\nAnswer: -243653539.1196996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 102*m**3 + 5*m + 7. Let v(l) = 51*l**3 + 3*l + 4. Suppose -279*f + 3*p + 1 = -284*f, 4*p + 20 = -2*f. Calculate f*k(b) - 7*v(b).\nAnswer: 51*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2751342 or 2751357?\nAnswer: 2751342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 4*p**2 - 11*p - 29. Calculate n(-4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44828377 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20204145 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -12)\/(-3) + (-423)\/(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-6)*(-522)\/(-12) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 166.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/8)\/(4 - 141\/36). Solve -3*y = 4*j + q, -2*j = -2*y - y - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 4. Let r be (-9)\/12 - 30\/(-8). Let t(i) = -2*i - 5. What is r*t(w) - 4*j(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - 8*q - 1. Let m(o) = 20*o**2 + 23*o + 3. Let v be -34*2\/(-16)*-4. Calculate v*y(c) - 6*m(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))\/a)**(17\/6)\/(a\/a**(-2)*a**(-8)) assuming a is positive.\nAnswer: a**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-42)\/(-9))*(-84)\/308?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 13 = 33. Suppose 5*a = 2*i + 1, -3 = -4*a - 2*i + 5. Solve -r*s + 9 = a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-3 + 2) - (666 - 673) - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-20)\/(-12)*-3. Suppose 0 = b*r + 5*a + 15, -5*r - 37 = -4*a - 13. Let l be 3\/2*(-4)\/(-3). Put -5, r, l in ascending order.\nAnswer: -5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) + sqrt(220)\/sqrt(5) + sqrt(11))*5.\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1121 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -2.4. What is the nearest to r in 0.1, -1\/6, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 15*l**2 - 12*l**2 + 2 + 2*l - 3*l**3. Give i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Let g be 2\/4*(j + 2). Let o(z) = 10*z. Does 6 divide o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6 - 21*i - 8*i**2 + 3*i**2 - 15*i. Let k be p(-7). What are the prime factors of (33\/2)\/k*(-14)\/(-3)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 1. Suppose 3*w - 3 = 0, 0 = 4*v + v - w + 61. Let z(k) = k**2 + 16*k + 47. Let c be z(v). Give o(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1044*g - 547*g - 544*g + 2)*(-g**4 + 4*g**4 - g**4).\nAnswer: -94*g**5 + 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**8\/168 + g**4\/4 - 15*g**2. What is the second derivative of r(v) wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o. Let j(d) be the first derivative of -4*d**2 - 87. What is b(j(c))?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a micrometer in nanometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3533 is divided by 231.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 11. Let p be u(-6). Suppose -p*v - 42 = -12*v. Let i be ((-22)\/(-99))\/(4\/v). Which is the nearest to 1\/3? (a) 0.2 (b) -1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5 = -29. Let n = 30 - w. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 - -2. Let g(n) = -n**3 + 2*n**2 + 2*n + 3. Let p be g(3). Which is the closest to 2? (a) p (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -196\nAnswer: -19\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + -4*3\/105. Let u = -10.2 + 10. What is the fourth smallest value in u, -0.6, l, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 1 k when three letters picked without replacement from oxokoookokxkxxo.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*w**2 + 3*w + 5*w - 7*w**2 + 7*w - 6*w**3 + 23*w**2 + 16*w**6 wrt w?\nAnswer: 1920*w**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*f - 20, 2*t + 2028*f = 2025*f - 12. Solve t = -6*d + 457 - 421 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 52 = -15*r. Calculate the remainder when r is divided by 1 - -17 - (-1 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwpwppwwpppwppww. Give prob of sequence pwp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 188314022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23064 + -253476\/11. Is 22 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 528726?\nAnswer: 5287260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655264 (base 7) to base 14.\nAnswer: 2db34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2*x + 1\/2*x**2 + 1\/3*x**3 - 3. Let g(j) = j**3 - 4*j**2 + j + 3. Let v be g(3). Determine a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -856 + 744 = -8*y. Calculate the remainder when 1956 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.451 + 16.541. Which is smaller: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*x + u, 5*u = -11*x + 12*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 50\/3*l + 0 + 1\/3*l**2 = 0.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2567*p + 2557*p. Let c be ((-3)\/(-9))\/(2\/30). Put c, 0, p in decreasing order.\nAnswer: c, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2277\/9 - -3*1. Suppose y + 0*y + s = 5*r, 5*r + 2*y - 253 = 0. Let j = r - 36. What is the remainder when 58 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, -1, 733, 2 in descending order.\nAnswer: 733, 21, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 9 (b) -53 (c) 3 (d) -5\/3 (e) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j\/(j\/(j\/(j\/(j**(-1\/39)\/j)*j))*j)*j))\/j)\/j*j)\/(j\/j**(-9)))**(-9\/8) assuming j is positive.\nAnswer: j**(525\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2\/4 + 122331*x\/4 = 0. What is x?\nAnswer: -40777, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 1. Let w be p(6). Let r(j) = -4*j**2 + 4*j + 2. Let i = 4 - 1. Suppose z = i*z + 8. Let t(v) = 3*v**2 - 3*v - 2. Give w*t(k) + z*r(k).\nAnswer: k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1101 and -0.0938.\nAnswer: 1100.9062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4284 and 728586.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3746600 by -1048.\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728763 = -57*f - 260907. Is f a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.08, -12, -0.05, -108?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 + 13*t**3 + 167 - 542 - t + 201.\nAnswer: 13*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*m + 60 = -339*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1138951947 to the nearest one million.\nAnswer: 1139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**3\/3 - 5*h**2\/2 + 4*h - 1. Suppose -44 = 4*d + 5*r, d + 0*d + 14 = -2*r. Determine t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25 - (1 + 1)) + 4. Let s be (-26)\/(-65) - d\/5. Solve 5*t - s = 0, 5 + 8 = 5*a + 3*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 106 (b) 3205 (c) -0.2 (d) 0 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 58. Let g = -6 + 4. Put 0.3, b, g in ascending order.\nAnswer: g, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 49. List the prime factors of a\/9 + (939\/27 - 0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 3*k**2 + 5*k. Let r be v(4). Suppose b + 0 - r = 0. Suppose -b*q = 7*q - 165. Calculate the smallest common multiple of q and 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39903444 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 687, 683, 679, 675, 671, 667?\n\"Answer: -4*t + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 7. Suppose u = 4*n, -5*n + 3 = 2*y - 6. Solve 2*i + y = -2*p, -p + 5 = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 11. Let i(w) = w + 6. Let h(p) = 6*g(p) + 11*i(p). Let s(v) = 4*v + 3. Let f(o) = 7*o + 5. Let m(z) = 3*f(z) - 5*s(z). Calculate m(h(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47, -81, -115?\n\"Answer: -34*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:51 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/15 (b) 4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 589 + 530 - 2519 = 0 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)*f*f*f**(-6))\/((f**(-11)*f*f)\/f*f**(5\/3)))**(2\/39))**(-21) assuming f is positive.\nAnswer: f**(-196\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 2 + 4)*-4.\nAnswer: -44*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 156358861 and 0.01144.\nAnswer: 156358861.01144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 3*f - 56 = -20*o, o - 4*f + 1 = 0. Let n be (12\/(-10))\/((17\/(-30))\/o). Which is the third biggest value? (a) 0.3 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/40 - 37*m**5\/20 + 71*m**4\/8 - 35*m**3\/2 + 5*m**2 - 80*m - 5. Factor t(y).\nAnswer: 3*(y - 35)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -25. Solve -k = -p*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 8*j - 4. Let w be r(7). Suppose 2*l - w*k - 2*k = 10, l + k = -9. Let s be 8\/(-50)*l\/(-2). Sort -1\/7, -1\/3, s in descending order.\nAnswer: -1\/7, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 3. Let z(s) = s. Let b(p) = k(p) + 2*z(p). Let a(r) = -r**3 - 8*r**2 + 10*r + 8. What is the remainder when a(-10) is divided by b(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9847 + 0.5.\nAnswer: 2.4847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 6*l + 4311. What is l rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 860 and 2100.\nAnswer: 90300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4340022 + 2?\nAnswer: -4340020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74 - 5?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(4*(-6)\/(-48)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 - 14980*x + 56100100 = 0.\nAnswer: 7490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 divided by 3?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1443 + 5?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*d - 2 = -6, 0 = 5*j - d - 22. List the prime factors of 2\/j + 7\/(-2) + 410.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Let r be 3\/(1\/(14\/3)). Suppose -5*s - v - 3*v = -8, -2*v = 5*s - r. Solve 3*p = s + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4823988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -8 + 11. What is the units digit of 152 + -1 + c + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 138*j**3 + 41*j**2 + 9 - 136*j**3 to the form x + d*j**2 + p*j + w*j**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009571628363 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 48?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4495\/(-58) + 78)*(-116)\/12?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 58*b + b to x*b + p and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2400, -2356, -2312?\n\"Answer: 44*k - 2444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9 times 338.06?\nAnswer: -3346.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.49 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f = -h - 34*f, -6*h = 5*f + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4544 = 2*m, -5*n = -3*n + 8. Suppose -27 = i - m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 19 + 136 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 80 = 3*l, 0 = -29*l + 33*l - 4. Solve i*w = 103*w - 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 464831 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/326304 and 75\/787744.\nAnswer: 77986656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*x = -775, 5*c - 3*x = -x + 772. Let v = -152 + c. Solve 0 = 5*g - 2*u - 20, 4*g + 3*u = v*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198)*2 - sqrt(198))*-1)\/(sqrt(6) + (sqrt(384) + sqrt(384)*1 - sqrt(6))))\/(sqrt(11) + (sqrt(11) - -6*sqrt(11)*-3) + 2*sqrt(176)).\nAnswer: sqrt(3)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 169*i**7\/42 - 8*i**3\/3 + 8*i**2 + 79*i + 1. Find the second derivative of j(k) wrt k.\nAnswer: 3380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 406 + -315.7. Let j = -7.3 + x. Let s = 82.15 - j. What is s rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64145 or 64146?\nAnswer: 64145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, -5, -4\/9, 1285.8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -49. Suppose l*q - 92 = 28. Calculate the highest common factor of 96 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 159\nAnswer: 37\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 28, 4 in ascending order.\nAnswer: -2, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d. Let o(t) = -8*t + 12789. What is f(o(w))?\nAnswer: 32*w - 51156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/(4*(-2)\/(-16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**7\/840 + g**6\/45 - 7*g**5\/120 + 5*g**4\/24 - g**3\/3 - 10. Let z(u) be the third derivative of s(u). Determine z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 36*c + 0*c**2 - 1\/2*c**3 + 0. Let p(f) = 26*f**2. What is i(p(y))?\nAnswer: -78*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 - 3*a - 3. Let b be t(2). What is the second derivative of -u**3 + b*u + 4*u**3 - 18*u**3 wrt u?\nAnswer: -90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/212 and -117\/14.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) 528 (c) -3 (d) 1\/22 (e) -5 (f) -1 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.68 + -47. Let c = 0.62 + p. Put c, 6, 1\/4 in decreasing order.\nAnswer: 6, c, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 217.5881km?\nAnswer: 217588100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: c7b5b (base 16) to base 14\nAnswer: 174175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 62. Is -24 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5183 + -3115. Does 44 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3974253117?\nAnswer: 3, 331, 4002269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j + 6*j - 3*j)*(-4 + 4 - j) + j**2 - 6 + 3 + 0*j**2 + (6*j**2 + 8 - 8)*(2 + 1 + 0).\nAnswer: 7*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21167297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f + 5*f**2 - 18*f to the form i*f**2 + o*f + l and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2840191 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 - -237. Solve -4*i + 8 = g, -2*i + 4 = -5*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -87*d - 26. Calculate the remainder when p(-1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45.9 - -70. Let z = 24 - w. Is z less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-10\/3)*k)*k**(-17\/2) assuming k is positive.\nAnswer: k**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -232.4 and -0.5?\nAnswer: 116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 157*w**3 + 4555*w**2 + 95*w + 1083. What is r(-29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-4) + -4)*(5 + -3). Is g != -2\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j - 7. Let g(r) = r - 7. Let o be g(j). What is the units digit of (-2)\/(-1) + (-10)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38435*m + 5*b + 11 = 38433*m, 0 = -6*m - 8*b + 2 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(1\/(-2 + 13)). Let p be (-6 + 5)\/((-1)\/v). Let i = p + 304. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -5. Let n = 4 - 3. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40653489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*f - 4*f - 11*f + 20*f.\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-168))\/(1\/(4\/(-5)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128510 divided by -12851.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41010, -164096, -369376, -656964, -1026974?\nAnswer: -1479520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-821)\/1642)\/((-3)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-5))\/((-2)\/(-5)). Factor 6*h**3 + 6*h + 9*h**5 + 10*h**j - 11*h**5 - 3*h + h - 2*h**4.\nAnswer: -2*h*(h - 2)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:33 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137.5221 - 137.4. Let y = -0.1 + -0.016. Let n = z + y. What is n rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + 14. Let i be s(5). Let p(h) = h + 6. Let x be p(0). What is the highest common divisor of x and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 3*r + 2*r**2 - 3 + r**2. Let y be m(-5). Let o be 3 + -3 - 35\/(-1). Calculate the highest common divisor of o and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*q - 20 = 0, 4*h + 3*q = -277 + 261 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 17*x - 15 = 0. Suppose -x*n - 5*d = -3553, 2*n - 5903 = -3*n + d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -5 (c) 18 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -2241.2109.\nAnswer: 672.36327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28392 divided by 9464\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {s: 1, i: 13, l: 3}?\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 710\/153 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.5, -1\/163 in decreasing order.\nAnswer: 3\/4, 0.5, -1\/163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -571*p**4\/4 - 1289*p**2\/2 + 1541. What is the second derivative of a(l) wrt l?\nAnswer: -3426*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1519 - 959. Is 70 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 65*n**2 - 15*n - 975. Is r(44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*s - 4*a, -s + 2*a = -2*a - 25. Let m = 9 - s. Let t(h) = -h**2 - h + 1. Let y be t(m). Is -2\/3 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**5\/60 - w**4\/8 + 8*w**2. Let i = 55 + -52. Give u(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 74. Give o(-14).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 2*z - 3*t + 0*t = 4*z + 55, -27*t = 5*z + 115 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 - c**2 + 8*c - 10. What is t(4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3160 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030400 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 634359 by 11.\nAnswer: 57669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*s + 357 + 67 = 44*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 15\/(10 - 5).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 25. Let y(i) = -17*i. Calculate t(y(x)).\nAnswer: -34*x - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 10*n - 10. Let k be y(8). Let m = k - -2. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmux. Give prob of sequence mdu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 7\/4 (c) -5 (d) -9 (e) -2\/11 (f) -368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juz when three letters picked without replacement from huzzzujuzhhhh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 2. Let s = 1771 - 1771. Let k(a) be the third derivative of -4*a**2 + s + 0*a**3 + 0*a + 1\/24*a**4. Calculate -2*k(c) - q(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 46*b**2 - 38*b - 238. Let t be j(24). Solve -v = -3*u + 7*u + 1, -u + 2*v = -t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10275)\/1125 + (-2)\/(-15) - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13244 * -0.24\nAnswer: 3178.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -9. Let t be (-6)\/(-4) + (b - 10). Let w(l) = -l**2 + 5*l + 1. Let r be w(4). Put r, t, 0 in increasing order.\nAnswer: 0, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) 0.7 (b) 1834 (c) 0 (d) 3.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 99, 2.\nAnswer: 2, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -976, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120220 + 1001?\nAnswer: -112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2\/11 (b) -3 (c) 5 (d) 0.0035 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*y**4 + 253*y**3 + 7*y**2 - 2*y + 123640751 wrt y?\nAnswer: 120*y**3 + 759*y**2 + 14*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**5\/30 - 5*z**4\/24 + z**3 + z**2\/2 + z. Let f(a) be the first derivative of o(a). What is the units digit of f(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469 - -314. Let m = 155 + g. Which is bigger: m or 1\/146?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442\/(-510)*(-9)\/117\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737933519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13809108?\nAnswer: 2, 3, 23, 50033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k + 74706 = -39*k - 2*u, 3*k = -5*u + 27986. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1584) + 1) - -3*(sqrt(891) + 0)**2.\nAnswer: -24*sqrt(11) + 2671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 1\/2*h**2 + 0*h + 2 - 1\/3*h**3. Find x such that y(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114760, 232131, 349502?\nAnswer: 466873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 19 = 4*t + 1, 3*t = -2*z + 10. Suppose -123 = z*f - 483. Let y = 21 - 13. What is the highest common factor of f and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*h**3*k*l*n + 15*h**3*k*n**2 - 36*h**3*k + 36*h**2*k - h**2*l*n + 3*h*l*n**2 + 22*k*n**2 wrt h.\nAnswer: -270*k*l*n + 90*k*n**2 - 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -187*k**2. Let m(p) = 0 + 37*p - 16*p + 0 - 20*p. Give z(m(l)).\nAnswer: -187*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.65 - 11.8. Let r = -1.55 - c. Let u = -131\/711 - 3\/79. What is the biggest value in -0.04, r, u?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6182 + -6067. Calculate the greatest common divisor of m and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + 1001?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1863 and 191061.\nAnswer: 1719549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28931733?\nAnswer: 3, 43, 74759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {m: 2, d: 1, i: 3, k: 3, r: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1750986 divided by -6.\nAnswer: -291831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1465530 and -79\/44.\nAnswer: 2931060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - 0) + 0 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o - 4 - 29 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110*j = 1111*j - 62. Suppose 2*o + 5*l + 22 = j, 2*o - l - 40 = 0. Solve 2\/3*x**3 + 200*x - o*x**2 - 2000\/3 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2. Let n(h) be the third derivative of h**4\/8 + 5*h**3\/6 + 2*h**2. Let f(z) = -6*z - 9. Let k(o) = -5*f(o) - 9*n(o). What is t(k(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**2 + 12*n - 6*n**2 - 34*n)*(0 + 3 - 2)*(-2 + 2 - 1)*(1 + 2 - 2) in the form b*n**2 + f*n + u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:13 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(2\/13)*d**(1\/19)\/d**6 assuming d is positive.\nAnswer: d**(-1393\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwt when three letters picked without replacement from {x: 4, j: 2, w: 6, t: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.0408 minutes in milliseconds?\nAnswer: 1202448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2425, -1621, -293, 1559, 3935, 6835?\n\"Answer: 262*a**2 + 18*a - 2705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 16 + 8 - 2*d - 7 - 15.\nAnswer: -2*d - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4311 - 4310.9987824. Round c to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3111 = -23*f - 104*f - 190 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*o - 471*o + 8997 = 0. List the prime factors of o.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001120123 (base 4) to base 16.\nAnswer: -10161b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1608084.7 and -698.359?\nAnswer: 1608783.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(350))\/(sqrt(4)\/(sqrt(6)\/sqrt(3))))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/15 + (-14)\/133 + 17940\/1482.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3574536*u**2 + 1787268*u**2 + 1787274*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 72*g**2. Let p(n) = -905*n**2 + 1803*n**2 - 897*n**2. Give p(u(k)).\nAnswer: 5184*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0 (c) 4\/17 (d) 7\/16 (e) 0.4 (f) -5 (g) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121)*-2 + sqrt(121))*6)\/(sqrt(11) + (sqrt(165)\/sqrt(3))\/sqrt(5)))**2 + (sqrt(11)*-4 + 3 - (sqrt(99) + -5)**2).\nAnswer: -209\/4 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -5 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 12 = -0. Let h(j) = -3*j**2. Calculate h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from mvvvvvvvvvvvvvmvmm?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 - 4*p + 3. Let w be l(1). Suppose w*b - 2*b + 3*b = 0. Is b not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 754769841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l = -37*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/7431943, -2, 0.3?\nAnswer: -7\/7431943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 19 = -h, 4*i - 32 = -0*h - 5*h. Let s = 0 - -2. Suppose -o = -s*o. Solve -h*g - 4*q + 16 = 0, -6*g + 2*g - q + 13 = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 15 + (2 - 0) + (33 - 38) + 22\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v**3 + 34*v**2 + 1988*v - 7816714?\nAnswer: 18*v**2 + 68*v + 1988","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:32 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4 = -0*v - v, 3*z - 14 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 673 + 258 = 2595. What is the remainder when o is divided by (3\/(-4))\/(1\/(-24))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 16 = 4. Is (-59)\/((-6)\/531*6\/f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 14*y + 10. Let k be t(14). Suppose k - 10 = 2*j. Suppose 5*w - 15*w + 2170 = j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*j - 26*j**5 + 71*j**4 - 1 - 11*j**2 + 34*j**4 - 8*j**5 - 16*j**4 + 15*j**5 wrt j?\nAnswer: -1140*j**2 + 2136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 24*r - 26. Let g be h(1). Sort 1, g, 3 in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 - 3*b**5 - b**5)*(2 + 1 + 0) - b**5 + 2*b**5 + b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/15 and 46\/1548375.\nAnswer: 1548375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 1. Let b = -50 + 90. Let t be b\/18 - (-26)\/(-117). Let l(f) = f. Calculate t*q(n) - 5*l(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Let p = 0.9 - 1. Let u be (-4)\/(-10) + 13\/5. Put b, u, p in descending order.\nAnswer: b, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 (base 9) in base 13?\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**3 + s**3 + 0*s - 2*s)*(-4*s + 3*s + 3*s)*(2 + 8 + 7) to the form h*s**4 + l*s + x + j*s**3 + o*s**2 and give o.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27220.911 months to years.\nAnswer: 2268.40925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1)*i\/i**(-1\/7))\/(i**(-1\/3)*i)**49)\/(i*i*i**(1\/2)*i*i**(-1\/2))**(-2\/21) assuming i is positive.\nAnswer: i**(-614\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 2*g + 13, 5821*g - 5823*g - 32 = 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015492510654 rounded to four decimal places?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -741468 or -741475?\nAnswer: -741468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3225893 is divided by 623.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 6*l**3 - 7*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/34 and -1\/408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*b = -16, b + 20 = 4*i - 3*b. Suppose 3*v + i = n - 0, 5*n + 3*v = 30. Let p = 117 - 69. Calculate the greatest common factor of n and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Let j(n) be the first derivative of n**3 + 2*n - 4. Let k(r) be the first derivative of j(r). What is k(g(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 14) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 11 + 65*x**3 - 69*x**3 - 105*x**2 + 104*x + 291 - 89*x**2 - 8 = 0?\nAnswer: -49, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036747 to six decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38122767671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1344\/5*n - 112896\/5 - 4\/5*n**2 = 0.\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1085, 1084, 1083, 1082, 1081?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -9)\/(1*-3). Find the second derivative of 508*q + 8*q**3 - 515*q + k + 0 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3 + 8*s**2 + 87*s - 6. Let y(l) = -2*l**3 + 5*l**2 - 2*l - 2. What is -f(i) + 2*y(i)?\nAnswer: 3*i**3 + 2*i**2 - 91*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-5))\/(2941\/(-425) - -7). What is the greatest common divisor of 315 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2243*y + 3543*y - 3593 = 12838 + 927 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*u - 165, 13*u - b - 91 = 10*u. Solve -5*p = 11*p - u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.49998548 - -30.5. Round a to 7 decimal places.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 + 121*o**2 - 38*o + 249. What is r(30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29045.\nAnswer: 5, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 12:03 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:31 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1))\/(6 - 5). Suppose -29*m - 30*m + 404 - 109 = 0. Solve 6 = 3*n - 4*h - o, -m*n - 5*h = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547665717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -11)\/(1 + 8). Solve 0 + 2\/3*q**2 + u*q + 1\/3*q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:42 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/21)*j**3)\/(j**(-4\/11)*j)**(-24) assuming j is positive.\nAnswer: j**(4199\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*c - 6, -10*x = -12*x + 5*c - 8. Let i be (2\/(-6))\/(119\/14). Does x = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(-11))\/s)**(2\/73)\/(s**(10\/3)\/((s\/(s\/s**(-10\/11)))\/s)) assuming s is positive.\nAnswer: s**(-11771\/2409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y - 3*y**2 + 1 - 13*y + 2*y**2. Let g be d(2). Find the common denominator of -54*g\/(-72)*9 and -113\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 24541 = -8*d - 5*j + 24581, -2*d - 62 = -4*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14188491 (base 10) to base 12.\nAnswer: 4902b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(7\/4)*q)\/q**(-5\/6) assuming q is positive.\nAnswer: q**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.003, -23, -4, 81?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -2150\/11. Suppose 0 = 4*s + 41 + 7. Sort 2\/7, s, y in decreasing order.\nAnswer: y, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 25. Let s be v\/(-26) - (-1)\/(-1). Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -43*j - 8*j + 152 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 180?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 8 + 2*w**4 - 5*w**4 + 5*w**3 - 2 with respect to w.\nAnswer: -12*w**3 + 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l + 26*l - 2 + 0*l + 3 - 2*l**2 - 5 to i + b*l + s*l**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*q - 76*q + 587 + 49 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 691524138 and -0.4?\nAnswer: 691524138.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2)*-3)**2 + 3.\nAnswer: 18*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 28 = 32. Suppose -2*d - 54 = -2*r - l, 12 = -4*d. Differentiate -r*u**2 - 12*u**2 + 5 + 0 + 24*u**2 wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -46. Suppose -1 = -m + 7. Calculate the smallest common multiple of p and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = 2*g + 5, 0 = -2*g - 5*x + 20. Suppose g = -11*r + 110 + 55. Calculate the greatest common divisor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3502*q**2 + 2*q + 3532*q**2 - 7004*q**2 + 0*q - 5*q.\nAnswer: 30*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 0.6 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(0 + 2 + sqrt(68))*4)**2.\nAnswer: 192*sqrt(17) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0073822 rounded to 4 dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/37)\/((d\/d**(2\/35))\/d)*(d**(-1\/13))**44 assuming d is positive.\nAnswer: d**(-56928\/16835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 4)*(-263)\/3. Let t = -72 + n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -32643*x - 326438. Calculate k(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 232?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - d)*(2 - 2 - d) + 78*d**2 + 1865*d - 1865*d.\nAnswer: 77*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 648774*y + 1946309. Calculate k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9773 = -9*j - 1061. What is the remainder when j is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3462703.\nAnswer: 383, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*-1*(-2)\/(-2). Let v = 8 - n. Suppose 23 + 4 = v*p. 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 -1 divided by -359409?\nAnswer: 1\/359409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1225851 + -1?\nAnswer: -1.1225851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-5)*(-482 - 1\/(-1))?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -574044?\nAnswer: -49\/574044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 232*m**3 - 3*m**2 + 46*m**3.\nAnswer: -186*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (4 + 2 + -12 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 28. Calculate the least common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 15, 0, -4, -3 in descending order.\nAnswer: 54, 15, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*g + 391*g = 3*r - 33636, -r = 4*g - 11173. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (-4 + 3 + (sqrt(468) - -2*sqrt(468))**2*-1 + ((0 + sqrt(468))*-5 - -5*(sqrt(468) + 0 + sqrt(468))))*2).\nAnswer: -120*sqrt(13) + 16856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, p: 4}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*a - 17, 14*k = -3*a - 10 + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**(-46)\/(a\/(a**15*a)*a\/a**1) assuming a is positive.\nAnswer: a**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10901.445 months in centuries?\nAnswer: 9.0845375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**3*n**2 + g**3*n + 150*g*n + 120*n**2 wrt n.\nAnswer: 24*g**3 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2397365657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 4. Let z be x(4). What is the third derivative of 2*f**4 - 8*f**2 - 8*f**z + 2*f**4 wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 722, 1430, 2088, 2672, 3158, 3522?\nAnswer: 3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h - 3*h - 4*h + 4*h - 9*h + 10*h**3 to i*h**2 + d + w*h**3 + r*h and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 4 + 7*q + 5*q**2 - 3. Let j(l) be the third derivative of -l**5\/20 - 5*l**4\/24 + 2*l**3\/3 + 289049*l**2. What is 7*j(v) + 4*o(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -82203 - 82204 + 9*j + 164405. Let i(n) = -8*n + 1. Determine 4*i(o) + 3*k(o).\nAnswer: -5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6776 + 6771. What is the third smallest value in 12.9, 1\/6, -2, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.0304137 rounded to one decimal place?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 15. Find r, given that -l*r**2 - 18 - 4*r + 10 + 68*r**2 - 20*r**3 + 6*r**2 - 24*r**4 = 0.\nAnswer: -2, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2676\/6815 - -10\/1363. Is -3.65 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80901126 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8*z - 3*z = 21, 3*z - 3 = 0. Solve 0 = -4*w - k*a + 8, w + 5*a = 1 - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28640\/23 or 1246?\nAnswer: 1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8*r + 65 = 0. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 89 + 95 + 25*u.\nAnswer: 25*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q + 440*q = 87*q + 2430 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -39.7. Let h = 10 + t. Let p = 1 - h. Which is the biggest value? (a) p (b) 0.5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12119 is divided by 209.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 793*f**4 + 5318*f**3 - 8953*f**2 + 2*f + 70 wrt f.\nAnswer: 19032*f + 31908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 821, 1649, 2477, 3305, 4133?\nAnswer: 4961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-364)\/(-6) - 3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*m - z, -14*m - 4*z = -10*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 3. Let d be v(0). Suppose d*l = -5*u + 473, 2*u - l = 68 + 119. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/26 (b) -37 (c) -0.2 (d) 1 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1 - (-9 - 1)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 4. Let k(d) = 2*d**2 - 71*d. Calculate z(k(c)).\nAnswer: 2*c**2 - 71*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -64 (c) 504 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(19) - (sqrt(95)\/sqrt(5) + -3)) + 4 + sqrt(190)\/(sqrt(40)\/sqrt(4) + sqrt(10)))*2.\nAnswer: sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -23\/2*p**2 + 0*p + 139. Let x(v) = 4 + v - 4. Determine x(d(t)).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 15. Let y(h) = h**2 - 23*h + 108. Let x be y(6). What is the remainder when s(0) is divided by (49\/14)\/((-9)\/x + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2 - 5) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 198, 398, 598, 798, 998, 1198?\n\"Answer: 200*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 + 8*u + 9. Let b be i(-7). Let m be b + 1 - (-16)\/8. What is the third derivative of -m*l**6 + 9*l**6 - 6*l**6 + 9*l**2 wrt l?\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 5*f - 15. Let z be g(6). Let x = 26 + z. Solve x*s = 5*m - 10, -4*m = 2*s - 0*m - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14\/25, 0.4, 10, -2\/335, -1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/36)\/(2184\/832)*6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4292 and 296?\nAnswer: 8584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -715634516 divided by 1?\nAnswer: -715634516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/104 + (-16423)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 - 2*l**2 + (-2*l + 3 - 3)*(-123 + 123 - 16*l) + 8*l**2 + 5*l + 7*l - 9*l**2)*(-21 + 21 + 5*l**2).\nAnswer: 145*l**4 + 60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 4*u - 260, -a + 4*u = -68. Suppose 17*t + a = 20*t. Suppose -9*y = -t*y + 861. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/705 and 1\/255?\nAnswer: 11985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -11.4. Which is the closest to -2\/7? (a) -0.1 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 10 - 36, -185 = -4*a - 16*s + 3*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c - 16 = -w, -5*w - 4*c + 80 = 0. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/11, -0.316797, 0.044 in increasing order.\nAnswer: -1, -0.316797, 0.044, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, 1086, 3101, 5990, 9753, 14390, 19901?\n\"Answer: 437*c**2 - 170*c - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002403?\nAnswer: 1002403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 2. Let v be d(2). Suppose -c - 26 = -4*c - 5*j, -c = j - 6. Suppose 3*g + 11 - c = 0. Which is greater: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y**2 - 6*y - 8. Let b(m) = -m**2 + m. Let d(u) = -6*b(u) - j(u). Differentiate d(p) wrt p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (2 - 7 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 178, 373, 628, 931, 1270, 1633?\nAnswer: 2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o**2 + 6*o + 5. Let l(j) = 2*j + 2. Let k be l(2). Does 4 divide m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 - 6770*b**4 - 61044*b**3 - 162872*b**2 - 135760*b = 0. Calculate b.\nAnswer: -5, -2, 0, 3394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(16)\/sqrt(2)))\/sqrt(6).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 8. Suppose -g*t = 3*x - 19, 8*t + 4 = 4*x + 4*t. Solve x*h - 3 = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02594 * -0.04909\nAnswer: 0.0012733946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + 187. Suppose -61 = -3*m + 8. What is the remainder when p is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10982 - 10988. Sort 101, 2, u in increasing order.\nAnswer: u, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -228, -143, 78, 501, 1192, 2217?\n\"Answer: 11*v**3 + 2*v**2 + 2*v - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58030 divided by -2.\nAnswer: -29015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -226 (base 8) to base 3\nAnswer: -12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305 divided by -61.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 24*h**2 + 29*h + 34. Let o be s(-20). Suppose -7*z = -997 - o. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9.6, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l, 8*n = 3*n + l + 23. Let g(y) = y**3 - 6*y**2 + 4*y + 2. Determine g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -6*g - 100 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2158*r**5 - r**2 - r - 1784.\nAnswer: 43160*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -29*a**2 - 1\/36*a**4 + 0 + 0*a + 1\/18*a**3 + 1\/180*a**5. Find w, given that b(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)*s)\/s*s\/s**12)\/(s**(-9)\/(s\/s**(4\/5)*s)) assuming s is positive.\nAnswer: s**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 2522*g**2 - 2522*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 397*f + 65 = -395*f, 5*f - 25 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1279\/(-44) - (28 - 33). Let b = -438\/11 + s. Suppose y + 2*g + 6 = -3, 5*g = 5*y + 15. Are b and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.1726 millennia in months?\nAnswer: 3542071.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 + 30532*y**2 + 643224*y - 2204352 = 0.\nAnswer: -24, 3, 7654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 + 2*j**3 + 3 + 1 + 6*j**2 - 3*j**2 - j. Let t be k(3). Suppose 0 = 4*f - t - 60. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -1069 (c) -4 (d) -5 (e) -0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 330\/27*(-1038)\/(-1903)*18\/(-50)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 3\/17 (c) -3\/5 (d) -3.9 (e) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5679.1 and -0.15.\nAnswer: -851.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -130*c - 7. Determine t(1).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 664846 and 320593?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 562207, 562206, 562205, 562204?\nAnswer: 562203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29)\/(-4) + (-3)\/12. Let v(y) = o + y - 7 + 0*y. Let i(z) = 8*z**2. Calculate i(v(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 577, 859, 1137, 1411, 1681?\nAnswer: 1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 95*o**4\/2 + 10988*o. Let w(g) = -30*g. Determine r(w(s)).\nAnswer: 513000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t**2. Let l(o) = -12*o**2 + 26*o + 352. Let b(d) = 49*d**2 - 103*d - 1584. Let y(f) = -2*b(f) - 9*l(f). Give y(z(h)).\nAnswer: 4000*h**4 - 560*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f + (-4 + 3 + 3)*(-2*f - 2*f + 6*f))*(5*f - 6*f - 1 - 5*f).\nAnswer: -18*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -3619, -5\/313?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/10)\/(x*x\/(x\/((x*x**13\/x)\/x))))**(-1\/76)*(x**(-2\/3)\/x)**(15\/2)*(x\/x**(-4))\/(x**3\/x) assuming x is positive.\nAnswer: x**(-7089\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -188\/5. Let i = 0.53 - -0.47. Which is the nearest to y? (a) 0.2 (b) -1\/14 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451657.8 minus -98?\nAnswer: -451559.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3641007 + -161870?\nAnswer: -3802877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100001 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 2310 and 525?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 8*x. Suppose t + 6*v = 2*v + 85, -x*v = 0. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 20*y**4 - 19 + y**2 + 15 to o + c*y**2 + h*y**3 + i*y + z*y**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 7*f**2 - 5*f + 6. Let w be o(-6). Sort w, 5, 2 in decreasing order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 14. Let n(r) = 472*r + 53. Calculate -4*i(o) + n(o).\nAnswer: 464*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from rxxtrwxwwxxrwrgxwwxx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, k: 3, h: 1, w: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 25*v - 3072 = 9*v. Solve -2*w = 6, 133*s - 5*w - 40 = v*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4418 = -5*j + 3837. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220498 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -198. Suppose 0 = -2*j + 3 + 1. Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2949*f + 4796*f + 3017*f - 4278*f + 3661*f to v + j*f and give j.\nAnswer: 10145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -782*h**4 + 2*h**2 + 4*h - 415. Let p(z) = -390*z**4 + z**2 + z - 208. Let i(m) = -5*p(m) + 2*u(m). What is the second derivative of i(l) wrt l?\nAnswer: 4632*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41104.3 and -4111855?\nAnswer: 4152959.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let p(d) be the second derivative of 5\/3*d**3 + 0 - 18*d + 0*d**2. Determine p(f(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25290503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/12 + 3*w**2\/2 - 4*w. Let f(k) be the first derivative of t(k). Let a(c) = 14*c**2. Determine a(f(j)).\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18460)\/1775)\/(32\/20*2\/(-8)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41886093 rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/45))\/(p*p\/((p*p**(2\/13))\/p)))**13*p**(2\/17)\/(p*p**3)*p**(-2)\/p**0 assuming p is positive.\nAnswer: p**(-12473\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 76 = v, -2*v - v + z = -268. Let u = -76 + 157. Let p = v - u. Calculate the least common multiple of p and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/32 and 101\/2351040.\nAnswer: 2351040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*p + 20, 4*p - 9*p - 3*u = -0*p - 8*u + 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = -4*a + 22, -2*a = -o - 5. Suppose -o*p - 10431 = 3*v, -3*v + 9267 = -4*p + 906. Let n = 3097 + p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -49, -82, -127, -190, -277, -394, -547?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (4\/8 - 3\/(-2)) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -7*f**4\/24 + 43*f**3\/6 - 141*f**2. Calculate the remainder when 71 is divided by h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1076, -28, 1 in decreasing order.\nAnswer: 1076, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1671, 0.5, 16\/35.\nAnswer: 16\/35, 0.5, 1671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144411 - 42601199\/295. What is the common denominator of -34\/5 and a?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*q**5 - 165*q**4 - 4*q**2 - 2143*q + 7.\nAnswer: -280*q**3 - 1980*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 34 = 14. Let c = -346 - -341. Put -4, c, 5, y in increasing order.\nAnswer: y, c, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + -6 + (-9 - -6) + -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8932551 by 2.\nAnswer: -8932551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -57*j + 1. Let u be p(-5). Let m(l) = -l**3 + 4*l**2 + 2*l + 18. Let b be m(4). What is the greatest common factor of u and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*l - k + 168, 3*k - 68 = -l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91 - 98 - 95 + p - 68*p**2 + 284 to the form a + d*p + t*p**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 25*w + 13 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/13 - 12\/91. Suppose -6*o + o - 2*n = -165, -4*n - 125 = -3*o. Let i be ((-2)\/o)\/((-1)\/5). What is the smallest value in y, i, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 281 = -246 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, -127 in ascending order.\nAnswer: -127, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -780, -0.3, -21, 0.3, 0.2 in ascending order.\nAnswer: -780, -21, -0.3, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + -2*sqrt(72)*1 + 1 + -2*sqrt(72))**2)*1.\nAnswer: -48*sqrt(2) + 1154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6962, 13858, 20550, 27038, 33322, 39402?\nAnswer: 45278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 8*o + 4. Let a be i(-4). Does 7 divide (-11)\/(-4) + -3 + 169\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/3, 0.5, 1\/4, -1\/17 in increasing order.\nAnswer: -1, -1\/17, 1\/4, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/5 - 36898*y**2\/5 - 2865556*y\/5 + 1175744 = 0 for y.\nAnswer: -18371, -80, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(76)\/sqrt(4) + -2 + ((-1*sqrt(114) - sqrt(114))*6)\/sqrt(6))**2.\nAnswer: -9645 - 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 9\/16*m**3 + 1\/320*m**6 - 7 + 0*m + 4*m**2 + 3\/64*m**4 - 1\/32*m**5. Let t(j) be the second derivative of a(j). Factor t(q).\nAnswer: 3*(q - 3)**2*(q + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*k - 1218403 = 0, 6766*b - 6767*b + 2*k + 1218385 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13981*t**4 + 1088*t**2 - 6*t.\nAnswer: -335544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228376893 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -19280, 0.3, -1\/4, -102 in descending order.\nAnswer: 0.3, -1\/4, -102, -19280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 155958 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60551 is divided by 2752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53827 and 263469.\nAnswer: 5005911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -85*d - 208. Let q be p(-4). Suppose 4*i = 3 + 45. Calculate the highest common divisor of q and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*f + 3*o, 5*o + 7 - 1 = -2*f. Let q be (2\/4)\/(f\/(-66)). Calculate the remainder when (q + -5)*(4 - 0) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**7\/210 + 43*s**6\/120 - 293*s**5\/60 - s**2 + 5*s. What is the third derivative of r(k) wrt k?\nAnswer: 24*k + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 58. Let d be p(52). Solve -2*s - d = -v + 3*v, -v = 3*s + 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20, -3, -4 in decreasing order.\nAnswer: 20, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.0747 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**2\/2 - 9*d - 29. Let c be p(11). Suppose 2*o + 9 = 5*o. Solve -c = o*f - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23672986 is divided by 3216?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)\/v**(-1\/10))\/(v*v**(-7)*v*v**(-5)))**(-38) assuming v is positive.\nAnswer: v**(-779\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2*(-2)\/(-4). Suppose 29 = 3*f - g. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-177*t**4 - 188*t**4 + 143*t**4)*(19 + 2 - 35) to the form m*t**4 + u*t**3 + x*t + g + v*t**2 and give m.\nAnswer: 3108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2953579 centuries in months?\nAnswer: 354.42948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {v: 2, q: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/2 - -2. Let h = -21 - -19. Let w = 2.5 - 2. What is the nearest to x in w, h, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -5*c**3\/6 - 3*c. Let n(r) = -9*r. Let q be (-346)\/34 + (-795)\/(-4505). Give q*h(w) + 6*n(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 7. Let z be 0 - (-2 + 0)\/((-2)\/(-3)). Let o be x(z). Suppose o = g - 0*k - 2*k, -5*g + 65 = 5*k. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/66526 and 103\/190.\nAnswer: 6319970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 2\/5 (c) 0.5 (d) -1 (e) -5 (f) -1291358\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 2*z - 5*z + 19*z**3 + 6*z.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1232 and (-1514)\/(-224) + 36\/12 + -9.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j**2 + 0*j + 0*j**2 - j**2 - j**2 + (1 - 1 - 2*j)*(-3 + 3 - 2*j) - 3*j**2 + 0*j**2 + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 357 = -5*t, -3*t + 330 = 3*g + t. Let a = g + -115. Let s(b) = -4*b - 1. Let d(w) = -7*w - 2. Let y(p) = 4*d(p) - 9*s(p). What is y(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515754979 to the power of 1\/2, to the nearest integer?\nAnswer: 22710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 786*o**2 - 17515*o + 773. Give d(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -89014 (base 11) to base 3\nAnswer: -20120010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**3\/3 - 22*i + 16. Let b be s(7). What is the greatest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30648, 27851, 25054, 22257, 19460, 16663?\nAnswer: 13866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 122.4608 weeks?\nAnswer: 74064291840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:34 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 58. Calculate the lowest common multiple of 6 and k(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*m + 4*i, 5*m + 4*i = 11962 - 11988 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 920 and 812860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 15, c: 3}. Give prob of sequence cnc.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18311, 36602, 54871, 73106, 91295, 109426?\nAnswer: 127487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/12 - 5*z**3\/3 - 3*z**2\/2 - 4*z. List the prime factors of v(12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**4 - 2*x**4 - 4*x**4 + (-5*x + 2*x + x)*(0*x**3 - x**3 - x**3) + 3*x**4 - x**4 - x**4.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8003 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -36404142 divided by -2\nAnswer: 18202071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/143*917\/(-14672)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15912 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -506776*u - 3547430. Determine m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/3, 3, -149 in ascending order.\nAnswer: -149, -2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -46*o**2. Suppose -2*m + 6 = -m. Let i(l) = -2*l + 7. Let b(s) = -2*s + 6. Let u(v) = m*i(v) - 7*b(v). Calculate p(u(c)).\nAnswer: -184*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52575*d + 39815*d - 107748*d + 0 - 2*d + 0 + (-3 + 0 + 4)*(2 - 2 + 2*d) + d + d - 3*d.\nAnswer: -15359*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 15*t - 79. Calculate o(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/(-25) - 4)\/(-2)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208083, 0, -5, 1, 20, -4, 4 in ascending order.\nAnswer: -5, -4, 0, 1, 4, 20, 208083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 76 = 2. Suppose 0 = 3*x + 2*d - 73 - 3, 0 = 5*x + 2*d - 128. Calculate the highest common divisor of s and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -781\/6 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12565 + 27306. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 131 = -9*t + 473 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -0.1, -2\/19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9159935.\nAnswer: 5, 1831987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + -1)*(-427)\/14*1. Suppose 2*r - a = -3*v + 2087, -3*r + 2*v + 3431 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36206847 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 0*s + 0*s**2 + 2*s**4 - 1\/3*s**3 + 21. What is v(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2056 or 0?\nAnswer: 1\/2056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6574859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = q - 329, -1 + 21 = 5*q. Suppose 0 = -13*u + 18*u - j. Suppose g + 11 = u. Solve g = l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76.31819 + 0.13319. Let k = c - -76. Round k to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139024313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (29 + -1)) + 9 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(112)*5)**2 + ((2*sqrt(112) + -1)**2 - sqrt(112))*-2.\nAnswer: -40*sqrt(7) + 10303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22609.9 + -22609.5. Let s = -1 + -1. Which is the closest to s? (a) i (b) 0.3 (c) -4 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + -7 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 2120278.\nAnswer: -2120278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/13)\/(-6 + 14 + 11 + -21)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*d - 29532*d**3 - 29537*d**3 - 36*d + 59071*d**3 + 34 + (-3*d + 0*d + 5*d)*(-2*d - d**2 + 2*d) + 6*d**3 - 3*d**3 - 5*d**3.\nAnswer: -2*d**3 - 51*d + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 19. Let q be h(-18). Let f be (-4)\/((-3)\/((-102)\/(-4))). What is the greatest common factor of q and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38695 + -38619. Solve 55*y + t*y + 917 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15948*c + 15942*c + 18. Let m(v) be the second derivative of 0 + c*v**2 - 7\/3*v**3 - 11*v. What is the derivative of m(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69003771 or -0.1?\nAnswer: 69003771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*a + 20*a**3 - 11*a - 224*a**3 - 11*a**3 wrt a.\nAnswer: -1290*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 4*w**2 + 1. Let l = -3 - -5. Let m be n(l). Let i(q) = 0*q - m*q + 5*q. Let p(u) = -16*u**2. Give i(p(r)).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4515386252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-445 + 173 + 64 - r)*(-2*r + 5*r - 2*r) in the form f + q*r + n*r**2 and give q.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -19. Let c = v + 0. Calculate the remainder when 16 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + u + 0*u)*(0 + 0 - u**2)*(81 + 41 - 70) + u**3 - 2*u**3 + 2*u**3 to the form y*u**2 + o*u + k + g*u**3 and give g.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -24919\nAnswer: -6\/24919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/9 - 35*d**3\/9 - 323*d**2\/9 - 289*d\/9 = 0?\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98*v + 52 - 52)*(155*v**3 + 53 - 24 - 29) to the form g*v**4 + k*v + u*v**2 + n*v**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.5, -1\/7, -5, 61 in descending order.\nAnswer: 61, 2\/9, -1\/7, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a1054 + 139?\nAnswer: 2a1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 (base 12) in base 7?\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/(-15925)*14\/4.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*v + 2*p, -v - 5 = 4*p - 3. Let l be -2 - 4*(-12)\/8. Suppose 18 + v = -l*g. Let h(t) = -t**2 - 9*t - 8. Give h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 9 - 11 + 4 + 0 - 5 + (-2 - 5 + 4)*(-2 - 2 + 5))*(0*w + 3*w - 4*w) in the form g + f*w and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.3 + 8.5. Let w = 5.8 + i. Which is the closest to 3? (a) 0.5 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:56 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 28?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/116*160\/12. Let a = j - 2\/261. Put 0, a, 0.5 in ascending order.\nAnswer: 0, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**3\/3 + a**2 - 4*a. Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1764 = -3*z - 1233. Is 179 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4292, 4279, 4258, 4229?\n\"Answer: -4*f**2 - f + 4297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -272, -269, -266, -263, -260?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 - 98 = -89*g + 76 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6774 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*q - 1203, 5*j - 315 = -q + 2*q. Let h = 300 + q. Let g be (-115)\/(-35) - 2\/7. Sort -3, h, g in ascending order.\nAnswer: -3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 74*j**2 + 2 - 2 - 76*j**2. Let p(s) = -8*s**2. Calculate k(p(w)).\nAnswer: -128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2142 - 10431?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9068 + 969. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2671 <= -2668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (2*sqrt(1792) + 2)**2).\nAnswer: 384*sqrt(7) + 21519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -184887*x - 2403535. Give w(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92.13 from -8880.\nAnswer: -8972.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-5 - -4 - 11 - -3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:17 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005875 rounded to 7 decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) + 4 - 4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 18*a**4\/7 - 170*a**3\/7 - 16*a**2\/7 + 792*a\/7 = 0?\nAnswer: -2, 0, 22\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecjjbbbbcjbcebj. What is prob of picking 2 e and 1 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 0 - 4 - (-66 + 66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*u + 4776 = -195*u + 350*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyyyyyyyyye. What is prob of sequence ye?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448 and 1100792.\nAnswer: 8806336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6536 and 74802886?\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 67377*k**2 - 370507*k - 202098.\nAnswer: -(k - 33683)*(k - 6)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528418 and 308.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1422 and 49104?\nAnswer: 3879216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 - 364*q\/9 + 16562\/9.\nAnswer: 2*(q - 91)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916703214.\nAnswer: 2, 3, 7, 21826267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(0 - 1) + (-48)\/(-6). Suppose -4*l + b*h + 62 = 0, -3*l + 0*h - h + 56 = 0. What is the remainder when 51 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from asaabsabb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50722.\nAnswer: 2, 7, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*d - 53 + 82, 3*d + 21 = 3*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56 (b) -4 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*w**5 - 298826*w**4 - 2*w**2 - 22500002*w?\nAnswer: 520*w**3 - 3585912*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3597.0000185945 + -3597. Round f to seven decimal places.\nAnswer: 0.0000186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9827357.\nAnswer: 9827357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 862621 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 104 (c) 0.07 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3153 - 3163 = 5*b + 5*x, -5*b - 12 = 4*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*m + 3*m + 35 = 0, 0 = 5*n + 2*m - 40. Solve n = -2*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159039 - -159056. Let o(i) = 41*i - 11. Let k(f) be the first derivative of 7*f**2 - 4*f - 2. Determine n*k(y) - 6*o(y).\nAnswer: -8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -40*h + 336. Calculate the remainder when 511 is divided by i(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*y**3 + y**2 - 3*y**2 + 48*y + 0*y**2 - 24*y - 23*y to the form o*y + s + g*y**2 + k*y**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/1880237 + 22844879564\/13161659. Let u = k + -1739. Which is greater: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 107 + 101. Sort u, -4, 292 in increasing order.\nAnswer: -4, u, 292","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/4 - 13*g**3\/3 + 17*g**2 + 6194*g. Determine d(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.096103nm to centimeters.\nAnswer: 0.0000000096103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101665223 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.92461 litres in millilitres?\nAnswer: 71924.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -415, -1403, -3339, -6541, -11327, -18015?\n\"Answer: -53*m**3 + 3*m**2 + 4*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*d + 11*d + 45 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - 4*b)*(2 + 2 - 3) + (3 - 3 + 14)*(12 - 9 + 4*b + b).\nAnswer: 69*b + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 129. Let o(i) = 3*i + 3. Calculate the remainder when ((-3)\/(-9))\/(1\/t) is divided by o(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2632.6350836 and 0.3.\nAnswer: 2632.9350836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-42)*3*(-15)\/(135\/(-42)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:02 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84851547 or 84851545?\nAnswer: 84851545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 - -507. Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004298819962 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 1:00 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 9*c**2 + 42*c + 82. Calculate p(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13171 at most 13169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1670.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.14453 and 11?\nAnswer: 11.14453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 890\/267*((-9)\/(-6) - 1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i - 1. Let n(a) = 1429*a + 2. Calculate 4*m(s) + n(s).\nAnswer: 1477*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5129991240 to the nearest integer?\nAnswer: 71624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007484854 rounded to seven decimal places?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1088.9998761 - -1089. What is z rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 1, r: 3, j: 2, d: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*o - 1854*o - 26132 = 4738 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/7 - 280352*v**2 - 68772588416*v = 0.\nAnswer: -490616, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(-7 + -5). Let s(v) = -v - 6. Let h(o) = 5. What is q*h(k) + 5*s(k)?\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(5\/5) + (-15)\/(-3). Which is smaller: -20 or p?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1474 + 26?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18768 or 18769?\nAnswer: 18768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -463.\nAnswer: 9\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5948 divided by -3?\nAnswer: 5948\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.3 + -9.237. Let q = z - 5.463. Let s = q + -0.6. Put 2\/3, s, 5 in ascending order.\nAnswer: s, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 11*d**2 + 18 - 108*d**2.\nAnswer: -119*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*n - 10436, -5*n = -n - 2*r - 10454. Suppose 4*a - 5748 = 2*g, n = 4*a + 4*g - 3160. Is a 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 162621 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/47)*y\/(y*y**(-4\/21)*y))\/((y*y**(-15\/4))\/(y*y\/(y\/(y**26*y*y)))) assuming y is positive.\nAnswer: y**(125933\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 217152*p**2.\nAnswer: 4*p**2*(p - 54288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -19. Let s be 10\/4*i\/(-20). Suppose 144 = 5*k - s*q, 3*q - 207 + 35 = -5*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 188*j**3 - 1618*j**2 - 1428*j.\nAnswer: 2*j*(j - 102)*(j + 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9239.37603 rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(891) + sqrt(891) + 1 + -5 - (5*(sqrt(891) - (4 + -1 + sqrt(891)))*-4)**2.\nAnswer: -3607 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 5 = -12*h + 10*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 230*u**3 + 312*u**2 - 312*u**2 + 66 - 66 - 18*u**3 + (4*u**2 - 3*u**2 - 3*u**2)*(0*u - 3*u + u) + 0*u**2 + 0*u**2 + 2*u**3.\nAnswer: 218*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5\/13 + 1198*f**4\/13 - 48260*f**3\/13 - 1433140*f**2\/13 - 7486138*f\/13 + 8966342\/13 = 0.\nAnswer: -11, 1, 67, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = 5*j - 240, 5*j - 240 = 3*v. Suppose -4*n + 180 = j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqiiiqiqqs. Give prob of picking 2 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m - 1447 + 1902 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 41*a**2 - a. Let k = -22 + 13. Let m be o(k). Let r be ((-6)\/10)\/((-18)\/m). What is r rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 - 72*w - 115. Let s be h(-14). Put 0.2, s, 2 in descending order.\nAnswer: 2, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308948 is divided by 97.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.2 + 15. Let a = 0.37 + -0.07. Sort -2\/9, u, a in increasing order.\nAnswer: -2\/9, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 0.1, 2\/3, 0.4 in descending order.\nAnswer: 2\/3, 0.4, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmqkmq. What is prob of picking 1 q, 1 m, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(-3)\/(-6) + -4. Suppose -30 = -5*i + 5*j, m*i + 0 = -j + 6. Differentiate -125*k + 125*k + 5*k**i + 13 wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, s: 1, j: 1, a: 2, g: 1}. Give prob of picking 1 j and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(190)\/(sqrt(120)\/sqrt(300)) + 5 + (sqrt(209) + -5*(sqrt(209) + 1*sqrt(209) + sqrt(209)))\/(1*sqrt(1331))))**2 + 0.\nAnswer: 10250*sqrt(19)\/11 + 874100\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*y + 3*b + 4, 0 = 3*b + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22628, 45269, 67902, 90527?\nAnswer: 113144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316 - 412.6. Let q = k - -99.6. Let m = 8 + -36\/5. Is q bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.9 + -11.9. Let j = 1.96 + 1.04. Which is the second biggest value? (a) 4\/21 (b) w (c) -2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/23789 + 785153\/1379762. Let f = 35765\/11 - 3248. What is the common denominator of r and f?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 211866?\nAnswer: -211856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3268760 and 9196?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**2\/2 + 2*w + 2. Let b be r(2). Solve -4*h + 3*h = -b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 668940.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 4686.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3\/5, 0, -1150.78, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -332 + 535. Let j = g + -186. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a + 6. Let i(p) = 1. Let u(q) = 13*q**2 - 535*q + 81. Let d be u(41). Determine d*z(r) + 5*i(r).\nAnswer: -8*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1024 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 - 7*p + 13. Let n be m(2). Solve -3*l = 5*b - 5*l + 26, -b - 5*l = -n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18513 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5380, -5376, -5370, -5362?\n\"Answer: j**2 + j - 5382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, k: 5, m: 4}. Give prob of picking 3 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/6 + 2*y**2 + y. Suppose -1 - 15 = -8*a. What is the remainder when a is divided by i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let j = 0.03945 - -0.06055. Which is the nearest to 1\/4? (a) j (b) -12 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3501096 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-17) - 740\/(-68). Solve 10*h = s*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -5*z - 1\/10*z**2 - 1\/100*z**5 + 1\/60*z**4 + 1\/30*z**3 + 0. Find x, given that s(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2046379\/121960 - -25\/6098. Let g = p - -99\/10. Let b = 42949\/6 + -7140. Find the common denominator of g and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23653 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 + 5*x**3 - 4*x**3 + x**2 - 5*x**3 as g + q*x**2 + h*x + j*x**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 14*g**2 - 12*g + 23. Let u be p(15). Let w = -118 + u. Let t = w + 87. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1151 - -1157. Let v(s) be the third derivative of 1\/600*s**5 + 17*s**2 + 0 + 3\/700*s**7 + 1\/840*s**8 + 0*s**4 + 1\/200*s**m + 0*s**3 + 0*s. Factor v(u).\nAnswer: u**2*(u + 1)**2*(4*u + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880050 = -19*y - 879024 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 3. Let g = -91 - -92. Let o(k) = k**2 + 1. Let f(h) = g*r(h) + 3*o(h). Let f(w) = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 5*z + 5. Let k be q(-3). Suppose 2*o - k*o = -o. Find the third derivative of 15*d**6 + o*d**5 + 0*d**5 - 15*d**2 wrt d.\nAnswer: 1800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350*-0.3.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3321*x**2 + 4 - 4 - 3314*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 642 + 667. Solve l*y - 23*y = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4954*l + 2484*l + 3838 = -2369*l for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -0.2. Let w = 79 - 76. Which is the nearest to l? (a) w (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -50, -2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 147. Let v = -76.5 + y. What is the biggest value in -1, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*z**3 - 29*z**3 - 37*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3681, -29499, -99565, -236007, -460953, -796531?\nAnswer: -1264869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75\/7? (a) 20\/3 (b) 2\/9 (c) -4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 20 = -4*u. Does 11 divide (-4)\/20 + (-504)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25668197759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 2*w + 4*w - 3*w + w + w + (2 + 1 - 1)*(4*w - 2*w + 0*w) - 2*w + 0*w + w - w + 2*w + 0*w - 7 + 7 - w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, s: 6, p: 1, n: 2, g: 2}. Give prob of picking 1 p and 3 h.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -26450\/13*o**2 + 920\/13*o - 8\/13 = 0. Calculate o.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5863.254 litres in millilitres?\nAnswer: 5863254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 13091.057324?\nAnswer: 13090.757324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4*m**2 - 830*h**2*m**2 + 13588*m**2 wrt h.\nAnswer: -8*h**3*m**2 - 1660*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1064 + 7589 + 1139)*(-3*u + 0*u + u).\nAnswer: -19584*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 10*l**2\/3 + 14*l\/3 - 2.\nAnswer: 2*(l - 3)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 45 - 872\/56 - -17.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -41. Suppose -4*i + 2*i + 6 = n. Suppose -2*z + 4*m = i*z - 140, 5*m = 4*z - 121. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 15*g**2 - g - 14. Let p be y(-15). Let c be ((-9)\/12)\/((p\/4)\/(-1)). Solve -4*a + c*a = -5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 10\/20*10. Solve 3*z + 2*x = -d, 0 = -2*z - 3*x - 0 - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f**2 - 1. Let y be b(1). Let i(q) = -q**3 + 11*q**2 + 2. What is the units digit of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 38*b**3 + 150. Let c(v) = 39*v - 11*v - 14*v - 13*v. What is c(g(q))?\nAnswer: 114*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 974486 >= 974486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-453)\/12 + 1008\/1344 - -65?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 85*t**2 - 8*t - 3. Let r(u) = 171*u**2 - 18*u - 7. Give -7*m(c) + 3*r(c).\nAnswer: -82*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33772741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-340)\/26 + (-14 + 13)\/(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111100010011 (base 2) to base 15.\nAnswer: 5ee8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 30. Let h be 2*(r - (-23)\/(-8)). Which is the nearest to -1? (a) h (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 5\/12*q**4 + 0 + 0*q**2 + 0*q**3 - 11*q. Factor a(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.25 - -0.25. Which is the closest to j? (a) 0.3 (b) -0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -25247*u**3 - 2*u**2 - 119*u - 117. List the prime factors of n(-1).\nAnswer: 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = 0, -2*m + 1813 = 2*a - 2999. Is a equal to 2402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 5*z**2 + 2*z - 5. Let t = -39 - -159. Let q be t\/(-28) + (-4)\/(-14). What is j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 7*p + 20*p**2 - 56*p**2 + 4 + 7 to v + c*p**2 + r*p and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169 - -3060?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3219630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 536102 + -365535. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 8:51 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15940.45435 - 0.075.\nAnswer: -15940.52935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2 + 3*j - 163. Is u(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -95 and 53 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2\/(-2) + -5. Let l(j) = -j**3 + 6*j**2 + 4*j + 11. Let u(g) = -g**3 + g**2 - g - 1. Let p(k) = -l(k) + 2*u(k). Is p(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**6 + 0 + 5\/3*p**4 + 2\/7*p**8 + 0*p**5 - 2*p + 0*p**3 + 0*p**7 + 0*p**2. Find the third derivative of a(g) wrt g.\nAnswer: 1920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 + o - o)*(24 + 21 - 40)*(3*o - 2*o - 3*o - o + 0 + 0 + (0 + 0 + 2)*(o - 1 + 1)) in the form k*o**3 + t*o**2 + v + z*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*p + 4*d, 3*p - 3 = 13*d - 57. Let s(y) = -11*y - 16. Let x(f) = 10*f + 16. Let v(g) = 3*s(g) + 2*x(g). List the prime factors of v(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22907, 91592, 206095, 366434, 572627, 824692, 1122647?\n\"Answer: 3*i**3 + 22891*i**2 - 9*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c**2 + 2*c**2 - 2*c**2)*(-c**3 - c**3 + 3*c**3) + 3*c**5 - 4*c**5 - c**5.\nAnswer: -5*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 10:50 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1\/5 (b) -0.063 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let w = -89.124 - -89. Let r = w - -0.024. What is the nearest to r in m, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2948072, 2948073, 2948074, 2948075?\nAnswer: 2948076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -32. Suppose s*v + 14 = 10. Sort v, 3, -3 in descending order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*b - 214*b = -4. Suppose -4*q + 5*l = -15, -l - 3 = 3*q - b*q. Solve 3*j = -5*g + 31, 4*j + q = 3*g - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143315, 573267, 1289853, 2293073?\nAnswer: 3582927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -0.0179?\nAnswer: 0.2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/5 - -3) + 2. Let s(f) be the first derivative of 3\/4*f**2 + f**3 + 0*f + 1 + 3\/8*f**o. Factor s(c).\nAnswer: 3*c*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*v + 4 = 0. Is 45\/(-180) - (1229\/v - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + a**2 - 22782*a + 22782*a.\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-51 - -172) + -85\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*o + 16*o + 6*o)*(5 - 4 - 3)*((1 - 2 + 3)*(o**3 + 0*o**3 + o**3) + 4*o**3 + 0*o**3 - 3*o**3 + 391*o + 78*o**3 + 212*o - 79*o**3).\nAnswer: 56*o**4 + 8442*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 930, 1862, 2794, 3726, 4658, 5590?\n\"Answer: 932*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 2*b - 3*b + 0*b**3 + 0*b**3 + 2*b**3 + 14*b**3 + (2*b**2 - 4*b**2 + 3*b**2)*(-b + 3 - 3) - 2*b**3 - 3*b**3 + 3*b**3.\nAnswer: 12*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -3 (c) -0.15 (d) 1\/134\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -8 + 20\/3*n**4 - 46\/3*n + 16*n**3 - 2\/3*n**5 + 4\/3*n**2 = 0. What is n?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -15. Suppose 2 = k + 4. What are the prime factors of g\/3*3\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 72 * 69782\nAnswer: 5024304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c + 2*j, -2*c - 1 = -5*j - 8. Suppose u = -u + c. Factor 0*p**3 + p**2 + u*p**4 - 3*p**3 + 4*p**3 - 5*p**3.\nAnswer: p**2*(p - 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 858860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1620 - 17534?\nAnswer: -15c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15 and -15776838.3.\nAnswer: -15776838.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -833*b**2 + 831*b**2 - 3 + 3. Let j(s) = s**2 + 26*s. Give r(j(u)).\nAnswer: -2*u**4 - 104*u**3 - 1352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4a01 (base 16) to base 12\nAnswer: ab69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:57 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d**2 + 15*d + 15. Let s(n) = n + 1. What is -k(i) + 15*s(i)?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34132 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 3750069462 - 3750069462.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 61*j + 13272 = 0. Suppose -306 = -4*x + 8*s - 3*s, -310 = -4*x + 3*s. What is the highest common divisor of j and x?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x - 4 + 3 + 1.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u. Let t(y) = -2*y**2 - 8*y - 32. Let v(k) = t(k) + 3*x(k). Is 8 a factor of v(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z**3 + 296*z**2 - 1920*z + 1152 = 0. Calculate z.\nAnswer: 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.283 - -1.793. Let w = 1.61 - c. Sort 2, w, 2\/17, -69 in decreasing order.\nAnswer: 2, 2\/17, w, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157351 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*s + 6 = 0, 5*h - 1497*s + 1496*s - 2 = 4 - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -63. Let f = 6 + 5. Solve -o = 3*p + f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281152, 562396, 843640, 1124884, 1406128, 1687372?\nAnswer: 1968616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14907 + -613. Let m = -9925 + j. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 4*o**2 - o - 3. Let g be c(3). Suppose -j + g + 1 = 0. Let n(h) = h**3 + h**2 + 3*h + 5. Is n(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5343 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -3*i - 162 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3936 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1776, 1697, 1508, 1149, 560, -319, -1548, -3187?\nAnswer: -5296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*w + 36*w - 30. Solve 2 = -7*h + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 516?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*(a\/(a*a\/(a\/(a\/a**(-15)))))\/a)))\/a**(-1\/8)*a*(a\/(a**(-8\/3)\/a))\/a*a*a*a*a**(-2\/7) assuming a is positive.\nAnswer: a**(-1427\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**4 + 0*a**2 - 5 - 1\/12*a**6 + 0*a**3 + 1\/10*a**5 + 0*a. Factor j(k).\nAnswer: -k**4*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/60 - y**4\/24 + y**3\/6 + 4*y**2. What is the units digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551661 - 550284 - 317881 + r**2 - 3319355.\nAnswer: r**2 - 3635859","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 6*g = 0. Suppose g = -0*c + 9*c - 108. Let x = 16 - 10. What is the highest common divisor of c and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (1 + sqrt(448) + -3 - sqrt(448)))**2 + -1 + (6*1*sqrt(448) - ((1 + sqrt(448))*5 + sqrt(448))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:29 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*i + 2*i - 410996, 164406 = 2*i + 3*g. Round i to the nearest one thousand.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 322, 2\/9, -317, 0.1, -0.4, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/175)\/(6*2\/270).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 1, 5, 11, 19?\n\"Answer: i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 5*j + 3*j**2 + 5*j. Let x(w) be the first derivative of w**6\/360 + w**3\/3 + 1. Let h(z) be the third derivative of x(z). Determine a(h(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6243\/2 - 0)*(29 - 23). Suppose -4*h - 1501 = -j. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77726741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.51 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 10) to base 12\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 27*g + 3. Let y be a(0). Solve -8*n - y*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 952060*m - 713104 wrt m.\nAnswer: 3*m**2 - 952060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4476 = -463*v + 8057 + 3209 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 7*p**6\/60 - p**5\/60 + p**4\/12 - p**3\/6 + 3*p**2. Does 14 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -432?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 7:36 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1773 - -3555. What is the highest common divisor of 108 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2108 + -1?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 5, u: 6}. Give prob of sequence ffou.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15251993?\nAnswer: 2029, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/6 + 31*o**3\/3 + 66*o**2 - 810*o. Factor v(t).\nAnswer: -2*(t - 33)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/50)\/((-1)\/5). Let i = -69 - -64. What is the closest to 1 in -2\/11, w, i?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1218921535 and 1235?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1176 and 360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -221288, -220154, -219020?\n\"Answer: 1134*k - 222422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24514 or -24533?\nAnswer: -24533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 + 1298*d**3 - 57341*d**2 - 314048*d - 255408 = 0 for d.\nAnswer: -4, -1, 51, 1252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/120848 and -95\/2656.\nAnswer: 241696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 7*p**2 + 9*p + 12. Let r be q(-8). Suppose -3*n + x = n - 4, 0 = n + r*x - 18. Is n\/2*(2 - -41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-18))\/(8\/6). Let v = 22269.8 - 22270. What is the closest to v in j, 1\/58, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/20 - a**4\/12 - a**3\/3 + 24*a. Let s be u(2). Suppose b - 5 - 20 = s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p)**(3\/26)\/(((p**5\/p*p)\/p)\/(p*p*p**(1\/6)*p)))\/(p**(-2\/5)*(p\/(p*p**1\/p)*p)\/p*p*p*p\/p**(-5)*p*p\/(p\/p**3*p)*p) assuming p is positive.\nAnswer: p**(-2447\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241044 + -351?\nAnswer: 240253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + g - g - 1. Let a(v) = -v. Determine 3*a(z) - y(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-13)\/(-2))\/((-16)\/(-3104))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -17*h**2. Let s(z) = -5*z**2. Let l(m) be the first derivative of m**3\/3 + 8. Let f(c) = -3*l(c) - s(c). Give f(n(q)).\nAnswer: 578*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyee. What is prob of picking 1 e and 2 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)\/(v\/(v*v**(-7)*v)))\/(v**(-2\/3)\/v)**44*v**(-1\/9)*v\/(v**(-1\/5)\/v*v)*(v\/(v**(-2\/5)*v))**(-7\/2) assuming v is positive.\nAnswer: v**(5987\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 - 9 = 0. Find the second derivative of 0*m**5 + u*m - 3*m**2 - 18*m**5 + 3*m**2 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35747 - 35751. Sort 3, r, 172, -1.\nAnswer: r, -1, 3, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:42 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3 + 2*u**2 - 153*u wrt u?\nAnswer: -12*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*w + 1 = -172*w + 3*t + 14, -139*w - t = 975 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**7\/35 + i**6\/15 + i**5\/25 + 38*i. Factor m(t).\nAnswer: 2*t**3*(t + 1)*(3*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.193 plus 1583?\nAnswer: 1586.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34583a (base 11) in base 4?\nAnswer: 2012020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517119?\nAnswer: 11, 228829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -2014?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124, -111, -82, -31, 48, 161?\n\"Answer: m**3 + 2*m**2 - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 4*u**2 + 5*u - 3. Let t be s(3). Suppose 0*q - a = -2*q + 10, q - 5 = -t*a. Suppose 0 = z - 0*z - q*w - 35, -70 = -2*z - 4*w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 3*x + x + (x + x - 4*x)*(-1 + 2 - 2) - 272*x + 690 - 343 - 342 + 4*x + 2*x - 4*x + (-3 + 3 + 2*x)*(-3 + 5 + 0).\nAnswer: -262*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = v - r, 2*v + 3*r - 4*r + 213 = 0. Let u be 1\/9 + (-8304)\/v. Let j = 260 - u. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*c**5*o**2 + 9*c**5 - 2*c**2*o**2 + 2*c**2*o - 122*c*o**2 wrt c.\nAnswer: 1920*c**2*o**2 + 540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 3*i**3 - 3\/2*i**5 + 15*i**4 - 3\/2*i - 30*i**2 = 0 for i.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215*h = -1204*h - 99 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198425660333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 + 1. Let j = 27 - 26.5. What is the biggest value in -0.5, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 52 - 12 = 0. Sort m, 18, -1 in increasing order.\nAnswer: m, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -53*v + 39. Let t(k) = -8*k - 158. Let d be t(-19). What is the hundreds digit of l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (3 - (-6 + -9))) + 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9852*f + 9852*f - 418*f**2 + (-5*f + 4*f - f)*(-3*f - 2*f - f) + (0 + 2 - 1)*(f**2 - 6*f**2 + 3*f**2) in the form g*f + r + n*f**2 and give n.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -6 (c) 0.06 (d) -5 (e) 5\/6 (f) 3185 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*j - 4 - 3 + 19 = 0, 4*v - 24 = -4*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -10*x + 127 + 133 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 3*l - 95 - 100 + 195.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34573559 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 8. Let g be t(-6). Let i = g + 34. Put i, 1, -1 in increasing order.\nAnswer: -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*p + 3*a - 12, -7 = 2*p - 5*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 7, 0.966, -4, -5, 157?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5\/(q\/q**(1\/5)))**46)**26 assuming q is positive.\nAnswer: q**(25116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 6:28 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-7))\/(-2))\/((-11)\/(5852\/(-912)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 2*l - 1. Let z(j) = -4*j**2 + 6*j + 11. Let x(f) = -2*f**2 + 3*f + 5. Let d(y) = -7*x(y) + 3*z(y). Calculate 4*d(s) - 7*r(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -34*g**3\/3 - 2*g + 3. Let u(y) = 12*y**2 + 5*y. Let s(d) = 7*d**2 + 3*d. Let x(h) = 5*s(h) - 3*u(h). Determine o(x(j)).\nAnswer: -34*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 51*z**2 + 54*z + 18. Let a be s(50). Suppose a = 3*v + 203. Solve 3*u + u + 11 = -3*x, -2*x - v*u = 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4211 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwid when four letters picked without replacement from {j: 3, w: 3, d: 3, v: 1, i: 1, h: 2}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593.529ml in litres?\nAnswer: 3.593529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 7*j + 20. Let n = j + 5. Let g(x) = -x**3 - 4*x**2 + 4*x - 1. Let k be g(n). Solve 4*l = 3*l - k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/243*-9*11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -51. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 1) - (-14 + (-113 - -151)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29292763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14849772 and 4284.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 637907\/32266 + -1450\/73. What is the common denominator of f and 97\/10?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -56, -125, -222?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 42 = -7*n. Let l = -13 - n. Solve 3*j = l + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 13*m**2 - 13*m + 10. List the prime factors of l(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -11, -6, 4, 0 in decreasing order.\nAnswer: 4, 3, 0, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*p - 7652, 2*s - s - 3*p + 1906 = 0. Suppose x + 12237 = 4*x. Let b = x + s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*g - m, 5*m + 0 + 6 = -g. Suppose -g*y = -6*y - 27. Calculate the remainder when 11 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20225133 (base 7) in base 8?\nAnswer: 6337372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.33 + 0.33. Which is the third smallest value? (a) -0.1 (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 15*r + 21*r - 12*r - 6*r - 4*r - 3.\nAnswer: -16*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001811404568 to five decimal places.\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12417*q**5 + 19*q**4 - 513795*q wrt q?\nAnswer: 248340*q**3 + 228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*l - 229*l - 34*l.\nAnswer: -780*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11482 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -12 - 1) + (0 - 6) + 8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1623 = 52*d - 826113. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t - 7. Let v(j) = 2*j + 1. What is -3*v(s) - z(s)?\nAnswer: -24*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19603*x**3 - 29*x**2 - x - 156348777 wrt x?\nAnswer: 58809*x**2 - 58*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6393230)\/(-15) - 6) + 8\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47903296 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = p + p - 8, 0 = 3*l. Let k(n) be the third derivative of -1\/12*n**p + 0 - 3*n**2 + 0*n**3 + 0*n. Let r(m) = 6*m**2. Calculate k(r(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 26*z**2 + z - 106. Give w(-26).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240870538?\nAnswer: 2, 120435269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 522 and 2175.\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 68512*j - 1371060. What is l(-20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*d**3 - 20097*d**2 + 171*d**3 + 20097*d**2.\nAnswer: 297*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 660\/24 + (-11430)\/(-508).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 8041468*s + 8041472.\nAnswer: -4*(s - 2010368)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 898 = -4142. Let u = f - 139. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 52 = 8*h, 0 = 1156*h - 1155*h - 3*m + 21 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 23*x + 15*x - 3123*x**3.\nAnswer: -3123*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*j - 48 = 0, -2*n - 24 = -5*j + 2*j. Let m be (-3)\/n*4*104. Calculate the greatest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w. Suppose 0 = 2*p + z - 5, 4*z - 10 = -7*p + 4*p. Suppose -3*x = -5*x + 44. Let c(l) = -43*l**2 + 24*l**p + x*l**2. What is i(c(u))?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjdpjpjdjwjdddpdjj. Give prob of picking 2 j.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*x**3 - 183*x**3 - 78*x**3 + 132*x**3.\nAnswer: -320*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6056 + -6050. Solve -2*p + v*p = -r, 3*p - 5*r - 23 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.08, 60, 3\/4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4271*f**2 + 445*f + 1344915 wrt f?\nAnswer: 8542*f + 445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -728*t**4 - 226*t**4 - 2717*t**4 - 2*t**4 + 3*t**4 - 3*t**4 + (0*t**4 + 2*t**4 - t**4)*(0 + 4 - 3) + 2*t**4 + 0*t**2 + 0*t**2.\nAnswer: -3670*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -j, j - 2 = -49*f + 46*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let i(j) = 14*j**2 - 143770*j. Calculate i(d(c)).\nAnswer: 14*c**2 + 143770*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l. Let q(g) = -2*g + 10. Let c(p) = -3*p + 18. Let m(x) = -4*c(x) + 7*q(x). Give r(m(w)).\nAnswer: -6*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 8 - -2 - (-3 - (-5 + -3 + 55))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**2 + 6*r**3 + 43*r - 18 - 43*r + 0*r**2. Find the second derivative of h(u) wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(225))\/sqrt(5).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1432 - 567. List the prime factors of j.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*p\/(p**(-4\/9)\/p)*(p\/p**(-3)*p)\/(p*p**(2\/3)) assuming p is positive.\nAnswer: p**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:08 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8934, 17861, 26788, 35715?\n\"Answer: 8927*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 5*d + 5. Let h be r(-2). Solve 2*z + h = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26250 - 14148747\/539. Which is the nearest to 1\/3? (a) f (b) -2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3519 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6389 + -6385. Let y(b) be the first derivative of -1\/9*b**3 + 1\/12*b**t + 0*b**2 + 0*b + 1\/15*b**5 - 1\/18*b**6 + 7. What is q in y(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826 and 12060013?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3 + -5.7. Sort -1.7, 0.3, d in increasing order.\nAnswer: -1.7, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = -84. Suppose -3*y = -v - 3. Let t = 52 - 30. Calculate the remainder when t is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - 99. Suppose -3*d - 4*g - 376 = 0, -5*d - 4*g - 479 - 161 = 0. Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438616802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -70 + (0 - 3) + -25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 4. Let a(n) = -3*n**2 - 5. Calculate 2*a(s) + 3*r(s).\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 12*r**2 + 20*r + 11. Let p be x(10). Let h(n) = 1 + n**3 - p*n + 43*n**2 + 10*n + 7*n - 38*n**2. Calculate h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q - 10 + 8 - q - 8*q. Let l(d) = 3*d - 5. Give -17*a(b) + 6*l(b).\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 264 = -d - 36, -8001761*c - 95 = -8001756*c + 4*d for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -798 divided by 57?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -3. What is y rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*t**4 - 2 - 3685*t + 3685*t + t**5 + t**2 + 4*t**5 - t**5 - t**5 - 2*t**5 - 3*t**5 + 4*t**5 + (-t**4 - t**4 + 0*t**4)*(-t + t + 2*t).\nAnswer: -2*t**5 + 15*t**4 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2413, -2409, -2403, -2395, -2385, -2373?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(1 + sqrt(320)*-2)*-4*-5 + -4)**2.\nAnswer: -32796224 + 860160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 20018 and -1786.\nAnswer: 18232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l - 4. Let f be p(3). Suppose 0 = 5*r - f*r - 6. Suppose -r*h + 2*j + 6 = -0*j, 2*h + 4*j + 6 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46543174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 4. What is the tens digit of o(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g**4 - 59*g**3 - 37*g + 4127. Let v(j) = -11*j**4 + 79*j**3 + 36*j - 4128. Let p(k) = 4*u(k) + 3*v(k). Differentiate p(y) wrt y.\nAnswer: 44*y**3 + 3*y**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1429 + -1425. Sort 117, w, -3.\nAnswer: -3, w, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8681*v + 408018. What is u(47)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165312, -165310, -165308, -165306, -165304?\nAnswer: -165302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1874 + 200901?\nAnswer: 199027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 11049.3 and -5053691.\nAnswer: -5042641.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -486ad (base 16) to base 2.\nAnswer: -1001000011010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/380)\/(-17 + 3222\/180)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000705125 to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w + 40. Suppose 3*o = r + 11, 2*r + 5*o - 6 - 5 = 0. Sort r, -3, w in ascending order.\nAnswer: w, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n + 6. Let v(j) = -5*j - 6. Let m be 3\/8 - (-190)\/(-80). Determine m*v(k) - 3*f(k).\nAnswer: -2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.01 + 0.01. Let o = -14.4 - c. Let z = 1.95 + 0.05. Is z at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from dnfqcqnfqf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(2\/23)*c\/(c**(5\/4)*c)*(c*c*c\/c**(-2\/5))\/c*(c**(-9)\/((c**(1\/5)\/c)\/c))\/(c**(-4)*c**7\/c*c) assuming c is positive.\nAnswer: c**(-4083\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from aiyhbilb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(17\/(-14))*8\/28. Solve b - r = -5, 5*b - 15 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * 7859.\nAnswer: -479399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from hvshvhsvhhhvvvh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 - 34235*x**2 - x + 21774 wrt x.\nAnswer: -12*x**2 - 68470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) 300 (c) -85\/48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208549251?\nAnswer: 7, 13, 41, 24917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4323 or -1151?\nAnswer: -1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 - w**3 - 44*w**2 + 46*w**2 + 4*w - 5. Let m be 7\/3 + (-2)\/(-3). Let x be k(m). Which is greater: 1\/8 or x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233110 + 33?\nAnswer: 1233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, s: 1, z: 1, p: 2, o: 1}. What is prob of sequence og?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24306 divided by -6\nAnswer: -4051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3370.309 - -0.28?\nAnswer: -3370.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*b - 29, 0 = -2*b + g - 5 + 16. What is the greatest common factor of 32 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 4*y**2 + y + 4. Let g be d(4). Suppose -23*n + 21*n - 10 = 0. Let c(x) = -4*x - 12. Let o be c(n). Is o > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 5, c: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.29 (b) -1 (c) -4 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 422, 424, 436, 464, 514, 592?\n\"Answer: m**3 - m**2 - 2*m + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 3}. Give prob of sequence wwa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + -3 + -5 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619866717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -80*n + 157. Let b be t(2). Let d(g) = 2*g - 2*g**2 + 9*g**2 + 9 - 2*g**2. Calculate the lowest common multiple of 20 and d(b).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -97, -114, -129?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 35, 89, 175, 299, 467?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12197492?\nAnswer: 2, 241, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 26, 53, 88?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/16)\/((-65)\/(-40)). What is the nearest to u in 2\/3, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 + 17*r + 7. Let l be i(9). Let n(p) = -26*p**3 + 2*p**2 + p. What are the prime factors of n(l)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-60))\/(-1 - -2). Let o = 2 + -5. Let w = 0.973 + 8.027. Which is the nearest to -2? (a) n (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*g - 1439 - 451 - 892 = 5798 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a - 154*a - 156*a = -8550 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*r + 3*g - 6, 3*r - 2*g - 16 = 0. Put -4, 7, r in ascending order.\nAnswer: -4, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vejjjjjejjjjtjtejjj. What is prob of sequence eett?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - 74\/252. Let i = b + 1\/14. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16. Let t = -9 + -4. Do q and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, -70, -92, -116, -142?\n\"Answer: -d**2 - 17*d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 2*c**2 + 4*c - 4. Let f be k(4). Let p = 21794\/7 + -3119. Calculate the common denominator of (-78)\/5 - (-8)\/f and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 565*f + 236*f - 458*f to the form c*f + b and give c.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**5\/24 + 7*x**3\/6 + 6*x. Let l(s) be the second derivative of c(s). Let p(z) = -z. What is p(l(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3 + 2*m**2 + 4*m = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(((-3375)\/54)\/(-25))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 4240248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -99, -105, -111, -117?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = j + 57, -350*f + 347*f - 563*j + 567*j = 15 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36070 - -108212\/3. Let -10\/3*b**2 + 14\/3*b**3 - 14\/3*b + 4 - z*b**4 = 0. Calculate b.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 61*d = 96 - 531 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*t = -4*m - 94*t + 5, 3*m - 2*t - 2 = 0. Sort 2, -5, 9, m in decreasing order.\nAnswer: 9, 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, b: 4}. Give prob of picking 4 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -76. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008800 rounded to the nearest ten thousand?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/240 + g**4\/12 + 2*g**2. Let h(c) be the second derivative of p(c). Is h(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*d - 2*q = -467*d - 131, -41*d = -39*d + 2*q + 94 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 - u + 1. Let v be w(1). What is the greatest common factor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + f**4 + 2)*(2 - 3 + 6) + 104*f**3 - 104*f**3 - 3*f**4 as a*f**4 + k*f**3 + g*f + m*f**2 + x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -202, -336, -498, -694, -930, -1212, -1546?\nAnswer: -1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8746 divided by -2.\nAnswer: -4373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v. Let b be y(-1). Let s = 19\/12012 - 41\/6006. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881966153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(3) + 1)*-2.\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 2. Let r be l(6). Let y be r + (-17)\/4 - 36\/(-16). Which is the closest to y? (a) -4\/3 (b) 0.2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6256446, 25025786, 56308022, 100103154, 156411182, 225232106, 306565926?\n\"Answer: 6256448*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 52*n = -51*n + 8, -2*b - n + 25 = 0. Calculate the highest common factor of b and 4939.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252315443?\nAnswer: 43, 2113, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + f - 3*f)*(-2*f + 0*f + 0*f) + 5454*f**2 + 24*f - 5430*f**2 - 107*f to t*f + h*f**2 + a and give t.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 56. Let p be 1\/(-3)*h\/(-4). What is the derivative of -p*g**4 + g**4 - g**4 - 1 wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12*(0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 5401 = -8342. Let y = o + 2472. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156510\/(-2632) + 56 - 33\/(-12).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1002, 0.3, -0.3, -4 in ascending order.\nAnswer: -4, -0.3, 0.3, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 19*o**2 + 0 - 32*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -11806 (c) 1295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 1744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(228)*-1 - sqrt(228)) - -6*sqrt(228)*1)\/(sqrt(96)\/(sqrt(24)\/sqrt(3)) + sqrt(132)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c - 4. Let a(n) be the first derivative of n - 2184. What is -5*a(m) - t(m)?\nAnswer: 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/4148558 or 1?\nAnswer: -33\/4148558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112822 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/(d\/d**(-3\/23)))\/((((d\/(d*d*d**(-48)))\/d)\/d)\/((d**(-1\/6)*d)\/d)) assuming d is positive.\nAnswer: d**(-5975\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**9*h*h**(-10\/3) assuming h is positive.\nAnswer: h**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23*y - 135. Let d be f(-6). Solve -d*r - 11 = z, -r + 2*z + 6 = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 299*g**2 - 435*g + 21. What is i(148)?\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + g - 19. Determine c(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7840092889029\/10270 - 763397554. Let m = h - 14\/395. Calculate the common denominator of m and -17\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*v**3 - 4 + 4 + 0*v**3 - v**3 + 0*v**3 + (0 - 2*v + 0)*(-v**2 + 0 + 0))*(v**2 - 4 + 4).\nAnswer: 27*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let w(y) = y**2 - 47. Determine c(k) + w(k).\nAnswer: k**2 + k - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + 84. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by -40.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -597.702219 + 0.012219. Let d = r + 589. Round d to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -317*g**3 - 3*g**2 + 2197*g - 24. Let b(a) = 316*a**3 + 3*a**2 - 2198*a + 32. Let y(f) = -3*b(f) - 4*o(f). Find the second derivative of y(v) wrt v.\nAnswer: 1920*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12230112 and -113\/18676.\nAnswer: 85610784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 653015 (base 10) to base 13\nAnswer: 19b2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68\/41 - 1491\/164. Find the common denominator of h and ((-43)\/(-18))\/(2\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.4, 1\/7, 4, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (5 + sqrt(833) + 0)**2 + -1 + ((sqrt(833)*2 + -3)**2 - sqrt(833) - sqrt(833)))*-6.\nAnswer: -1008*sqrt(17) + 150984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2676 - -2676.3. Let o be (0 - -1) + 1\/(-3). What is the nearest to o in m, -6, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*x**4 - 38*x**4 - 28*x**4 - 146*x wrt x.\nAnswer: -1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 + 86 + 13*h)*(5 - 3 - 1)*(-3 - 2 + 3).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*o - 1494*o - 11930 - 10969 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/328 and ((-1)\/(-902))\/((-19)\/10260*9)?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -217 in 2\/15, 52, 1\/5, 0.03, 2\/7, 3\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -423*l**2 + 3\/4*l**3 + 79524*l - 4983504.\nAnswer: 3*(l - 188)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 at least -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*i - 17, i + 2*i + 15 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3297)\/(-165) + (-12)\/(-4). Let r = z - 114\/5. Let u = -1.2 - 3.8. Sort 1, r, u in descending order.\nAnswer: 1, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 130168*z**3 + 4128657701*z**2 + 7025173892482*z.\nAnswer: z*(z - 65893)**2*(z + 1618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -897744 divided by -7608\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 31 = 2*x, 150*n - x = 161*n + 58 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -35, -29, -7, 31?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(1638\/(-392))*30\/20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**6 - 1 + 7*k + 19\/21*k**7 - 17\/6*k**4 + 0*k**2 + 0*k**5 + 0*k**3. What is the third derivative of t(g) wrt g?\nAnswer: 2280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 11*g**2 + 14*g**2 - g**3 - 34*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 1. Let c be p(2). Suppose 0 = 4*z - c*z. Suppose 719 + 1201 = 384*w. Solve 7 - 2 = 5*r - 4*y, w*y = z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 4*h + 13. Let u be s(-6). Let l be u\/3 + (-30)\/(-18). Let r be ((-12)\/21)\/((-6)\/21). Solve -r*b + l*j = -b - 6, 13 = 2*b - 5*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**2 + 5 - 3*r**2 - 2*r + r**2. Let w(g) = 0*g - 4 - 7*g + 2*g - 6*g**2 + 4*g + 3*g. Suppose 3*y + 3 = 0, -o - 1 = -2*y - 0. Give o*v(d) - 4*w(d).\nAnswer: 3*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*1 - 92\/(-23). Let f be 3\/(-12) - 3\/(h\/(-2429)). Let x = -396 + f. What are the prime factors of x?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 167*q**2 - 2425*q + 72. Calculate o(151).\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(2 - 1 + 0)*((0 - 2*d**2 + 0)*(-d**2 + d**2 + d**2) + 33787*d**3 - 132*d**4 - 33787*d**3) as w*d**3 + z + x*d + l*d**4 + y*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 19. Let v be (-57)\/(-135) - g\/(-18). Let q = -7 + 6.6. Sort q, v, -4, -0.5.\nAnswer: -4, -0.5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4 + -18 + 4 - (-2 - -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/(4\/6). What is the third derivative of -33*l**4 + 7*l**s + 28*l**4 - l**2 wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12695 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 0.8 (c) -1 (d) -0.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-17848.2\nAnswer: 7139.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 912*c + 12 + 5 - 14 as x + f*c and give f.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 3. Let j be f(-9). Solve -t = -j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27304, 3, 0.5, -644?\nAnswer: -644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*z - 23 = 0, -83*z + 87*z + 15 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179834.\nAnswer: 2, 89917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4090 and 2863?\nAnswer: 28630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219438182221 + 0.\nAnswer: -219438182221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -0.996\nAnswer: -4.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 86*r. Let t(f) be the first derivative of 0*f**2 - 17 + 1\/3*f**3 + 0*f. Determine t(s(b)).\nAnswer: 7396*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 10) to base 15\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3117941860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k - 6. What is s(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 81 + 65*n**2 - 81. Let a(p) = 2*p**2. What is j(a(b))?\nAnswer: 260*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.11 - -0.11. Let y = 5 + h. Let s = 25 + -24.4. What is the smallest value in -1\/4, 2, y, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = -5*i, 2*d + 13 = 5*i - 0*d. Let g = 6 - i. Let p = 0 - 0. Put -1, g, p in decreasing order.\nAnswer: g, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 + 1343535*d + 52402428 = 0.\nAnswer: -39, 447884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = -63*l - 33*l + 714 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000114613 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/2*g**4 - 21\/2*g**3 - 24*g + 35*g**2 = 0. Calculate g.\nAnswer: -24, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18183\/(-3135) - 27726\/(-4770)\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94592784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/32 and (-26756)\/(-2784) - 10 - (14\/24)\/(-7)?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -1\/720*l**6 - 2*l**2 + 0*l + 0*l**4 + 1\/3*l**3 + 1\/240*l**5 + 0. Let z(b) be the first derivative of h(b). Factor z(o).\nAnswer: -o*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 423 = 257. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 10, 0 = 4*s - 5*i + 37. Let o be (-16)\/(-20)*(0 - -1). Which is the nearest to 0.2? (a) -0.1 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 8) + -2 + -12 + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 53 + 19 + 27 + 0 - 62*g. What are the prime factors of h(-6)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-717)\/3346)\/((-30)\/14)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + ((-20)\/(-1))\/2. Let q(u) = -24*u + 24*u + z*u**2. Let p(f) = 2*f**2. Determine q(p(k)).\nAnswer: 52*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -18*f + 2. Let y be x(-1). Let s be (-30)\/y*4\/3. Let p = s - -21. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3466 and 8?\nAnswer: 13864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/18, 1\/6, -2956, -0.5 in descending order.\nAnswer: 1\/6, 1\/18, -0.5, -4, -2956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2. Let l(m) = -2*m**2 + 1015. What is l(k(d))?\nAnswer: -98*d**4 + 1015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 6*m**2 - 6*m + 2. Let o be w(4). Suppose 0 = -3*b + j + o, -j - 4*j = b + 18. Let v be 2 + -4 + 6 - 4 - -7. Solve 5*a - v = -b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 25 + 9 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 + -2)\/(1\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r - 8. Calculate the remainder when 177 is divided by h(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = -0*f. Suppose -3*b - f = -6*b. What is the remainder when (1 - -9)\/(2\/b) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c - 38. Let r(v) = 18 + 54 + v + 4 - c. Let y be r(11). Calculate the highest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 4*j + p + 6, -3*j + 4 = -5*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 20 - -3 - (-8)\/(4 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 4376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18*((-15)\/189 - 6\/42)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 + 1078*a**2 + 28682*a + 33725. Determine h(-511).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -237, -354, -471, -588, -705?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t + 27*t + 4*t - 32*t + 32*t.\nAnswer: 47*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -850 - 82. Let s be 2\/(-8) + t\/(-80). Let b = 12 - s. Put b, 3\/4, -3\/5 in descending order.\nAnswer: 3\/4, b, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278746 (base 12) to base 5.\nAnswer: -132021302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-6 - 7) + -39 + 56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 67. Find the second derivative of 85*z**5 - k*z**5 + 48*z + 7*z wrt z.\nAnswer: 380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3776, 7552, 11300, 15008, 18664, 22256, 25772, 29200?\n\"Answer: -2*l**3 - 2*l**2 + 3796*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 - 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 5*y**2 + y - 8. Let f(q) = q + 9. Let k be f(-15). What is the units digit of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:15 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*l**2 - 15*l**2 - 1715*l + l**3 + 7*l**2 - 57*l**2.\nAnswer: l**3 - 104*l**2 - 1715*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**6 + 956*j**5 - 12*j**4 + 582*j**2 + j + 16 wrt j?\nAnswer: -120*j**3 + 57360*j**2 - 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4*v + 15519 - 15486, -4*v + 50 = 2*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 17. Let y(h) = 3*h**2 + 10*h + 8. Let v(d) = d + 1. Let z(o) = 18*v(o) - 2*y(o). Let w be z(-2). Is i(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 2. What is the units digit of j(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6079278, 12158552, 18237826, 24317100, 30396374?\nAnswer: 36475648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -730 plus -0.24?\nAnswer: -730.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 4. Let t(w) = w. Let j(m) = 4*m - 1. Let o(q) = j(q) - 5*t(q). Let k(g) = -o(g) - v(g). Determine k(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.21, 0.3, -6, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 25 - (-1 + 4 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41073024197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b + 4. Let u(m) = -5*m**2. What is p(u(l))?\nAnswer: 35*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 3. Calculate y(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36581 (base 12) to base 4\nAnswer: 101322301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131485 + -71874. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3\/3 + 20*s**2\/3 - 35*s.\nAnswer: 5*s*(s - 3)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -32\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.01. Let s = y + 0.29. Let x = 3 - 10. What is the second smallest value in -0.4, s, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 2\/489 in increasing order.\nAnswer: 2\/489, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-5)\/r))**(3\/11)*(r*r\/r**(3\/16)*r)\/(r*(r\/(r\/(r*r**(-1\/3)))*r)\/r))**(-32) assuming r is positive.\nAnswer: r**(-3226\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/12 + k**2. Let r(m) be the second derivative of -m**3\/6 + 274*m + 1. What is r(i(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 939 + -939. Which is the third smallest value? (a) d (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i. Let v(x) = -36*x**2 - 1. Give v(m(a)).\nAnswer: -576*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1085 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 38*u**6\/15 + u**5\/20 - 16*u**4\/3 - u**3\/6 - 35*u + 1. What is the third derivative of k(s) wrt s?\nAnswer: 1824*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjjjjdudjujuddudw. What is prob of sequence dd?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 472 - -931. What are the prime factors of j?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6032.274ml to litres.\nAnswer: 6.032274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22940 and 15562.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000156254 to 7 decimal places.\nAnswer: -0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0926259074 to six decimal places.\nAnswer: 0.092626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -32 - (3 - -31 - (135 - 100)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27)*-3 - (42\/27 - 2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*(3 + 1)\/1. Let g be (-4 + z)\/((-4)\/10). Suppose -g*p + 525 = 5*t, -287 = t - 4*t + 4*p. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/27 - (-4 - (-125)\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3448104 and 256278?\nAnswer: 37929144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 63 - 125 + 31 + 30. Let f(l) = l**2 + l - 1. Let w be f(-2). Let a(c) = c - 1. Give w*u(q) + a(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/10 + 2)\/(-6 + 10 - -17).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2*t**3\/3 + 1. Let k(o) = -2*o. Let z(p) = -8*p. Let b(y) = -5*k(y) + z(y). Give b(g(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/2 - (16 + (-522)\/36). Let u = 9 + -6. Solve b*l - 3*l + u = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/(s\/(((((((s*s**26)\/s*s*s)\/s*s)\/s)\/s)\/s)\/s)))*s\/((s**18\/s)\/s) assuming s is positive.\nAnswer: s**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/58849?\nAnswer: 5\/58849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxx when three letters picked without replacement from cxcxc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/7)\/((-191984)\/(-1988)). Is q not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/18 - -3)*-1956. Suppose r + 447 = 7*p. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 15*t. Suppose -b - 2 = -5. Suppose 3*y - 3 = t, 29 = 2*m + b*m - y. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/24 and 137\/1968.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86eb6 - 348?\nAnswer: 86b6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(120\/28))\/(35\/(-40))*(-741)\/52.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 724267*v**4*z**2 - 3*v**2 - 983*v*z**2 - v*z - 5*z**2 wrt v.\nAnswer: 17382408*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10\/(i\/(i*i**(3\/32)*i))*(i**43*i)\/(i\/((i*i\/i**(-24))\/i)))**(-1\/5) assuming i is positive.\nAnswer: i**(-2531\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:00 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1541 and 408?\nAnswer: 628728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378.44 plus -3?\nAnswer: -1381.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r. Let y(f) = -2. Let t(h) be the first derivative of -h**2\/2 - 11*h - 10. Let g(s) = 2*t(s) - 11*y(s). Calculate z(g(w)).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39745138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 2*t - 65, 2*r - 4*t = -98. Let m = 101\/2 + r. Which is greater: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-3120))\/(6\/(-30))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*p = 0, 0 = 2*o - 5*p + p - 18. Let w = 114 + -231. Calculate the common denominator of -4 + (-75)\/w*o and 49\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 116816712?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (60\/36)\/(50\/120). Solve 0 = -r - w*a - 7, r + 5*a = -r - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 169 - 87 - 37 + 3*v - 45.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307*f**2*x - 258*f**2 + f + 204039*x wrt f.\nAnswer: 614*x - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 67. Suppose u = -j + 2*j. Suppose -18 = -2*f + f. Calculate the lowest common multiple of j and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 5386.\nAnswer: 1615.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15423277837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/5)\/((-3)\/10). Suppose n = -n + l. Suppose -4*z = 5*q - 64, 0 = q + 2*z + n*z. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158 - 138. Let t(u) = 5*u - 7. Let j be t(-6). Let p = -25 - j. Solve 0 = -3*s - p, -4*x = s - 3*s - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -39*w + 5334. Let b(a) = -28*a + 3557. What is -7*b(x) + 5*p(x)?\nAnswer: x + 1771","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + 1. Let d be (n\/(-35))\/(3\/(-14)). Suppose 3*m - 9 = 0, 0*x + m = d*x - 53. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 46*t**2\/5 + 17*t - 132\/5.\nAnswer: (t - 1)*(t + 3)*(t + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1116, 4315, 9590, 16935, 26344, 37811?\n\"Answer: -b**3 + 1044*b**2 + 74*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -1686.\nAnswer: -1687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h - h**2 - 1 - 1 + h. Let y be c(10). Let i be ((-12)\/10)\/(y\/110). Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42888617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:22 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -470.79 + 460. Let p = k + 5.18. What is p rounded to 1 decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 21. Suppose 4*v - f = h + 1, 4 = -3*h + v. Let q be (-2)\/(-3) + (-68)\/12. Sort q, 4, h.\nAnswer: q, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*y = -60*y - 168. Solve w = y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {v: 3, a: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsskwkskskwsskss. Give prob of picking 1 k and 2 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**2 + 1827*w - 464. What is q(-131)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (1 + -1 + 3). Let o(b) = 147*b - 130. What is the units digit of o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.986, -0.2, -22 in descending order.\nAnswer: -0.2, -6.986, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 273\/35 - (-3)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1637, 3269, 4903, 6539, 8177?\nAnswer: 9817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 37669.955 to the nearest one hundred.\nAnswer: 37700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355 divided by -1620.\nAnswer: 71\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 12. Suppose -4*w + 4*s + 1452 = 0, -h*w - w = -2*s - 1460. Suppose w = 3*n + u, -5*u + 0*u + 262 = 2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from lflbbfbbl.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7993 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -2\/11 (c) 42 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/7 + 4233*d**4\/7 + 8469*d**3\/7 + 605*d**2 = 0. What is d?\nAnswer: -1, 0, 4235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2)\/4*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.16 - 8.16. Let g be (-8)\/70 + (-2)\/(-5). What is the closest to n in 3\/4, g, 1\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 21. Suppose 3*m + 2*l - 44099992 = -2*l, -m + y*l + 14700004 = 0. What is m rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/(-10))\/(2\/8). Let i = m - 1. What is the greatest common factor of 38 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 36*m - 24. Let o(i) = 11*i**2 + 107*i - 73. Give -2*o(d) + 7*w(d).\nAnswer: -d**2 + 38*d - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**6\/60 + w**5\/8 - w**4\/4 - w**3\/3 + 2*w**2 - w. Suppose o(q) = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 - 8*q - 9. Suppose 13 = y + s, -s + 20 = 4*s. Let p be n(y). What is the least common multiple of 2 and 20 + p - (-6)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157750*c**3*f - 192*c**2*f + 146*c**2 + f - 1 wrt c.\nAnswer: -946500*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 505, -181, -155, 2 in ascending order.\nAnswer: -181, -155, 2, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 10 + 3 - 3*v - 4.\nAnswer: -3*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-9 - (3 + (-320)\/30)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 0*t**5 - 2*t**5 + (2*t + 1 - 1)*(-3*t**4 - 3*t**4 + 4*t**4) - 115*t**4 + 2*t**5 + 115*t**4.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21120\/(-693))\/160)\/((20\/3)\/2).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 227*q - 1434. Let h be a(-46). Calculate the greatest common divisor of h and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) -4 (c) -0.4 (d) 5 (e) -55 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - 1033\/7. Let i be 1*2 - (1 + -26). Suppose -i = 2*q - 29. What is the closest to q in p, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505.5 * 0.17\nAnswer: 85.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*g - 8 = 0, 129*j - 125*j + 2*g = -18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 2*q, -h - 78 = -3*q - 61. What is the closest to 3\/5 in 0, h, 4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:35 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 16 - (1 + 1) - 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29772\/(-5789) + (-3 + 1 - -7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 - 5*i**3 + 5*i**3)*(3*i - 7*i - 11*i) - 3*i**4 + 0*i**4 + 4*i**4 as w*i**2 + y*i**3 + o*i**4 + p + g*i and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/((-1)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2830 or 2827?\nAnswer: 2827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -31*n**3 + 6*n**2 + 6*n + 56. Let m(r) = 185*r**3 - 35*r**2 - 35*r - 335. Let l(g) = 6*m(g) + 35*v(g). What is the derivative of l(f) wrt f?\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 172, 161, 164, 187, 236, 317, 436?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5889, -5903, -5917, -5931, -5945, -5959?\nAnswer: -5973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 545 + -544.5. What is the nearest to -7\/6 in u, 2, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 13 = w - 56, 4*u + 66 = w. Let d = -43 + w. Calculate the remainder when 51 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 4*x**2 + 2*x. Let k be s(-3). Let t = -3 + 5. Suppose t*q = -3*q + 2*l + 18, 14 = k*q + 2*l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*d = -59*d. Suppose d = 2*c - 8, 4*a - 46 = 2*a - c. What is the remainder when a is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -819 or -0.2297?\nAnswer: -0.2297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80911195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 27 = 10*o. Let g be 12\/10*(32\/o - -3). Put -5, g, -4\/21 in increasing order.\nAnswer: -5, -4\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + 11*p + 14. Let l be u(-5). Let q = -88 + l. Put -2, -1, q, -3 in increasing order.\nAnswer: q, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -6 (c) -0.36 (d) -4 (e) 2\/5 (f) -2 (g) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478167 is divided by 2115.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16243196, -16243188, -16243180?\n\"Answer: 8*y - 16243204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-o + 4*o - o) + 0*o + 37*o + 5*o + (4 + 0 - 2)*(0*o - 4*o + 2*o).\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 - -2.54. Put 4, 0.5, s, -5 in ascending order.\nAnswer: -5, s, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 0*f - 5*f + 5*f. Suppose 3*c = 2 - 20. Let t(w) = -19*w - 6. Let y(x) = -x - 1. Let j(r) = c*y(r) + t(r). Calculate j(b(p)).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 4*t**4 - t**4 + 3*t**4 - 8*t**3 + 8*t**3 + 2*t**4 + 3*t**2 - 3*t**2 + (-4*t + 0*t + 0*t)*(t**3 + 0*t**3 - 2*t**3).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 39*t - 14. Let c be s(-19). Let i(f) be the first derivative of 0*f**2 - 2\/5*f**c - 7 + 7*f + 0*f**3 + 0*f**4. Differentiate i(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -4) + (6 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**3 + 27*h**2 + 13*h - 4. Let o(g) = 2*g**3 - 14*g**2 - 6*g + 2. What is 6*d(a) + 13*o(a)?\nAnswer: -4*a**3 - 20*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4687056 and 426096?\nAnswer: 4687056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r - 3. Let q be s(0). Let a = 9 + q. Let i be ((-10)\/3)\/((-2)\/a). Solve -2*c - 3*h - 4 = 0, -6*h + i = -5*c - 2*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + 8\/20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n + 4 = 0. Let x be 1 + n + (-10)\/(-4). Let m = 26 - 80\/3. Which is the nearest to m? (a) -0.2 (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433221 (base 7) to base 5\nAnswer: 4404243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41121 - 3312404?\nAnswer: -3221233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1.73 (b) 2 (c) -1266 (d) -2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10*p + 8*p = 320, -v - 4*p = -89. Let i = v - -247. Calculate the greatest common divisor of i and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 4 + 37*v - v**2 - 30*v**2 - 41 in the form g + r*v**2 + y*v and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 11:37 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7136.18863 rounded to 0 decimal places?\nAnswer: 7136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56784)\/(-63))\/26*1\/4*-3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*y = -12, -7*o = -10*o + 5*y - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 922*p**2 + 304*p - 667. Give o(-307).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + t - 6*t + 25, 5*l + 2*t - 10 = 0. Suppose -z + 7 = -2*s, l + 1 = s + z. Does 3 divide 3 + s + 10\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27.5 (b) -4 (c) 19 (d) 3.1 (e) 2\/31 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -35*j + 177. Let w(y) = 1. Let g(k) = -f(k) + 6*w(k). Let c be g(5). Solve -5*p = c*s + 11, -4*p + s - 11 = 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 37\/((-666)\/(-27))*18 - 23. Factor 2\/7*d**3 - 2\/7*d + 0 - 2\/7*d**2 + 2\/7*d**o.\nAnswer: 2*d*(d - 1)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 2. What is the smallest value in 5\/2, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*p**3 - 9*p**2 - 10 wrt p?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (77 + (-49 - 15))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 3\/7, -0.1, 0.5, 5 in increasing order.\nAnswer: -0.1, -0.05, 3\/7, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/48943 and 41\/5.\nAnswer: 244715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 804689777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -65*d**3 - 14*d**2 - 4*d + 6. Let x(q) = 129*q**3 + 28*q**2 + 7*q - 11. Let l(s) = -7*o(s) - 4*x(s). What is the third derivative of l(m) wrt m?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 + 7*m**2 - 3. Let s be 42\/10 + (-8)\/(-10). Let h(j) = 2*j**3 + 4*j**2 - 2. Determine s*h(c) - 3*y(c).\nAnswer: c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + -37. Suppose 23*l - r = 8*l. Solve 8 = -6*h + 2*h, -2 = l*i - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2. Let w(x) = -4*x + 4*x + 3*x**2 - 4*x**2. Calculate w(p(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p = -58*p - 52. Let u = p + -6. Calculate the lowest common multiple of 1 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 29 = 2*g + 53, -b = -g + 29. Let s(x) = 2*x**2 - 3. Let q(k) = 10*k**2 - 14. Determine b*s(w) + 6*q(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 12742*z + 81179282.\nAnswer: (z + 12742)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 82 (b) 5 (c) 333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 363184 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*83\/36 - 2\/9. Suppose m + 73 = 2*b - 4*m, m = -2*b + 43. Find the second derivative of -b*t + 34*t - v*t**5 - 4*t**5 wrt t.\nAnswer: -260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + 4\/(-2) - 2. Suppose 4*d - 26 = -5*m, d + 2*m = 3*d - 4. What is the second derivative of -x**d - x**w - x + x**4 wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -101.9, 3 in ascending order.\nAnswer: -101.9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(162\/(-171))\/9.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5982 (base 12) to base 15.\nAnswer: -2e8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42766*i*n**2 - 138655*n**2 wrt i?\nAnswer: -42766*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 500075680*d - 31259460715932800.\nAnswer: -2*(d + 125018920)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 165 = 5*a. Which is bigger: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 1\/4 (b) 1.2 (c) 2 (d) 4\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r + 16*r - 147 + 148)*(-1 + 1 + 6)*(3*r**3 - r**3 + 12*r**3).\nAnswer: 756*r**4 + 84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/301 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509043523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -113904 - -0.1\nAnswer: -113903.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18296802144372 - 5?\nAnswer: -18296802144377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**3 + 6*h**2 - h. Let a(g) = 7*g**3 + 5*g**2 - g. Let n be (-259)\/(-49) + 2 + (-32)\/14. What is n*u(o) - 6*a(o)?\nAnswer: -7*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 130.2123ng?\nAnswer: 0.1302123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 - 0.1. Let v = 124\/11 - 642\/55. Which is the nearest to t? (a) -1 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, -476, 0, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 7728 + 4553. What is the remainder when a is divided by (-128)\/(-6)*(-6)\/(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 3*i + 0*i + (-4*i + 2*i + 0*i)*(2 + 1 - 5) - 2 + i + 1 - 2*i)*(-4 + 2 - 2*i**2 + 0) to b*i**2 + z + s*i + w*i**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 13. What is the remainder when a(4) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 57 = -111. Suppose 4*i + 30 = 5*l, 3 = -2*l + 2*i + 17. Let d be 846\/36 + 1\/l. Calculate the greatest common factor of y and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392343 - 196174 - 53*l**2 - 196169.\nAnswer: -53*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**23*p*p\/(p*(p*(p*p**(-1\/5)*p)\/p)\/p*p))\/(p\/(p\/(p\/((p**12*p)\/p))))**17 assuming p is positive.\nAnswer: p**(1056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*w = 2*x - 12, 4*x - 5*w = 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*x - 2 = 5*x, -5*b + x = -10. Suppose t - 2 = -b*y + y, t - 2 = 4*y. Let s be 9*t\/132*4. What is the smallest value in 0.3, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from lpptpptppepppp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i + 10 = 0. Let s = i - -61. Let n be ((-28)\/s)\/(10\/(-3)). Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 2*m**6\/5 + 2*m**2 + 7*m. Differentiate d(t) wrt t.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9414 is divided by 214.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 13 - 12. Let b be u\/(-1)*(-4 - (-204)\/52). Suppose 0*z = 2*z + 6. What is the third smallest value in -1, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178480 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16775612 to the nearest integer?\nAnswer: 4096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84608063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*v = 181, 5*v - 49 - 8 = -b. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892115.\nAnswer: 3, 5, 19, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 8}. What is prob of sequence err?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 11*g - 2. Let f(x) = 11*x**2 - 140*x + 63. Let c(h) = f(h) - 6*k(h). Factor c(z).\nAnswer: -(z - 1)*(z + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 189*i**5\/5 + 79761*i**4\/5 + 1266*i**3\/5.\nAnswer: 3*i**3*(i + 422)*(63*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:46 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -3983*z**4\/24 + 2857*z**3\/2 - 370*z**2 + z. Differentiate k(p) with respect to p.\nAnswer: -3983","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (12 - (-90 - -85 - (-2 - 45)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 1013 - 296. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f99 (base 16) to base 2\nAnswer: -111110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101011111101100 + -11?\nAnswer: 1000101011111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, 837, 1210, 1555, 1878, 2185?\nAnswer: 2482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 5*m**2 - 2*m + 3. Let v be x(-5). Suppose -2*g + 156*f = 153*f - 954, -12 = 2*f. What is the highest common divisor of g and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.270167 days in hours?\nAnswer: 126.484008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*g)*(-398 - 511 - 1103) in the form i + m*g and give m.\nAnswer: 4024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - g - 2*g)*(-21 - 83 - 268) + g - 2 + 2 to the form r + x*g and give x.\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197909 is divided by 2637.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Suppose -q*i = -44 - 67. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.03 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21011201113 + -110?\nAnswer: -21011201223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00879003 rounded to 5 dps?\nAnswer: 0.00879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, -6, 0.4, 62678?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + ((-99)\/(-11) + -639)\/(6\/(-333)).\nAnswer: 2, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 112270321 to the power of 1\/2, to the nearest integer?\nAnswer: 10596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4.11 (b) 0.2 (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-800)\/70 + ((-24)\/(-42))\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**5\/5 + 75*d**4\/2 + 218*d**3\/3 - 235. What is the third derivative of x(j) wrt j?\nAnswer: 24*j + 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 281580511 and -0.405?\nAnswer: 281580511.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -103, -244, -473, -808, -1267, -1868, -2629?\n\"Answer: -3*q**3 - 17*q**2 + q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 + 11*p - 3. Let d(c) = -54*c**2 + 76*c - 20. Give -3*d(u) + 20*o(u).\nAnswer: 2*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*r = 94, 0 = c + 4*r + 14 + 16. Let o = c - -25. What is the remainder when 7 is divided by (o + 0)\/(1\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**3 + 5*i**6 - 245\/2*i**2 + 0*i**4 + 0*i - 1\/5*i**5 - 169. Find the second derivative of y(j) wrt j.\nAnswer: 600*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**2 + 11*m + 2. Let p = -220 + 225. List the prime factors of n(p).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/12*6\/(-4). Sort o, 1146, 0 in ascending order.\nAnswer: o, 0, 1146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhhhc?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.012 and -19.8?\nAnswer: -0.2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8590 from 34.497438.\nAnswer: -8555.502562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.76.\nAnswer: 7.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 - -1.7. Which is the closest to s? (a) -4 (b) -2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*m - 21 = 0, 4*s + 0*m = -2*m + 14. Suppose 5*y - 7 = 4*a, 5*a + 23 = 3*y + 11. Sort -4, s, a, -1.\nAnswer: -4, a, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0.047, 0.6, -6.5 in decreasing order.\nAnswer: 0.6, 0.047, -6.5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 78 + 141. Suppose -3*f - 409 = -10*k + 5*k, d = k - 5*f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/6732 and 131\/90.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5477075 rounded to the nearest 1000?\nAnswer: -5477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {o: 4, y: 2, j: 6, w: 1, d: 1, p: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44002, 43767, 43380, 42841, 42150, 41307?\n\"Answer: -76*z**2 - 7*z + 44085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.9 (b) 65 (c) -69\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168663503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*n**2 + 2*k**3*n*s**2 - k**3*n*s + 21*k**3*s**2 + 166*k*s - 5*n**2*s**2 wrt s?\nAnswer: 4*k**3*n + 42*k**3 - 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 43*y - 327. Let g be z(-33). Solve u + 2 = 3*l + 13, 2*u + g*l + 23 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10076439?\nAnswer: 3, 631, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:40 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 99 = -c, -5*c + 2*i + 430 = -i. Let v = c - 59. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1799710 divided by 359942?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*l = 78, -3*p - l = -4*p + 73. Calculate the highest common divisor of 51 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 346 + (-3)\/1 - 0. Suppose 0 = -p - 4*p - 4*m + x, 57 = p - 5*m. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttllihll. What is prob of sequence hi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1115 - -1?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*l = 284*l + 278*l - 840*l - 1591 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7410.438 - 0.4?\nAnswer: 7410.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-r + 4*r - r) + 5*r - 3*r + 0*r - 14*r - 7*r + 16*r + (-3*r + r + 0*r)*(3 + 2 - 4).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6500316 + -10?\nAnswer: 6500306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 34 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8\/7)*y**(-19) assuming y is positive.\nAnswer: y**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 3*j**2 - 37*j - 3*j**2 - 2*j**2 + 5*j**2 + 420*j.\nAnswer: 3*j**3 + 3*j**2 + 383*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4110350, -4110361, -4110398, -4110473, -4110598, -4110785, -4111046?\nAnswer: -4111393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72906 less than 72944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -102, -100, -100, -102?\n\"Answer: -o**2 + 5*o - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4976 is divided by 239.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose -l*a = -0*a. Suppose -5*b + 102 = 12. Solve -2*y + 1 - 7 = j, 2*y - 5*j + b = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*m. Suppose 36 = 5*w + 96. Calculate the least common multiple of (w + 9)*8\/(-6) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 145913*a - 308029*a + 151365*a as h*a + r and give h.\nAnswer: -10751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzsszzz. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1124552 (b) 1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 7*z**2 + 3*z - 5. Determine f(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvkvkmkmkm. Give prob of picking 2 v.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/261? (a) -1\/15 (b) -5 (c) -2 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - t + t)*(-23 + 5*t + 23 + (-7 + 3 + 2)*(-4*t + 5*t + 0*t) + 3*t + 3*t - 7*t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177773 divided by 389.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.4 (b) 4 (c) -4 (d) -6 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3063 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*a - 386*a = 166*a - 60*a - 33500 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**4\/78 + 29*v**3\/39 + 62*v**2\/13 - 5*v - 3. Suppose r(n) = 0. Calculate n.\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaga when four letters picked without replacement from {g: 3, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1525*m - 517*m + 3540*m + 333527 = -71245 for m.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = -3*k, 5*m - 11 = 2*k. Suppose 0 = -m*b + b - 560000. What is b rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z**3 + 12030*z**2 + 3*z - 3*z - 12030*z**2.\nAnswer: -109*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362863560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 8 + (-3 - -4) + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 1, i: 2, p: 2, w: 7, o: 3}. Give prob of sequence ixi.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.9 - -5.6. Let z = v - -2. Let n = -51 - -50.8. What is the second smallest value in n, z, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310523 is divided by 226.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9064*x - 5*x**3 + 9064*x.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a98 (base 13) in base 4?\nAnswer: -1201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 119 + 49 = 0. Suppose -121*f = -118*f. Suppose 3*d = -f*d + x. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 4.7. Let w = 0.5 + o. What is the closest to 2\/3 in w, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 1, e: 1, i: 2, l: 1, t: 1}. Give prob of picking 1 w, 1 t, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + a + a - 2)*(-2*a**2 - 4*a**2 + 5*a**2) as z + j*a + k*a**2 + h*a**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - m = 162, -m - 80 = -4*h + 3*h. Let v = -69 + h. What is the remainder when 348 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -404061 (b) 1\/2 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.67941 and 2290?\nAnswer: 2289.32059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from ojhvooz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -2*z + 10, 79*b = 83*b - 2*z + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -7*u + 56. Suppose -10*n - u = 43. Suppose -2*s - 5 = -3. Sort -2, s, n in decreasing order.\nAnswer: s, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -42, -43?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83*h**2 + 162*h**2 - 56*h**2)*(2 + 0 - 1)*(-1 + 0 - 1)*(-1 - 31 - 31) in the form m*h + x*h**2 + r and give x.\nAnswer: 2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 plus -127702?\nAnswer: -127102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3424 + 3424 - 72*u**3 + (-4*u**2 + 5*u**2 - 3*u**2)*(-1 + 2*u + 1) - 2*u**3 + u**3 + 2*u**3.\nAnswer: -75*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*o**4 + o**4 - 8*o**4 + (0*o**2 + 2*o**2 + 0*o**2 + (2*o**2 + 2 - 2)*(-2 - 4 + 4))*(-86*o - 66*o**2 + 86*o).\nAnswer: 139*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131458.\nAnswer: 2, 3, 7, 19, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582864698?\nAnswer: 2, 13, 157, 142789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, -3, 3, -4\/9, 0.7, 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*l*t**3 + 496*l*t - 129433763*l + 133*t wrt t?\nAnswer: -129*l*t**2 + 496*l + 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 3 - 19) + -45 + 28?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 213, 878, 1991, 3552, 5561, 8018?\n\"Answer: 224*s**2 - 7*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 + 4*w**2 - 5*w + 7. Let i = 9 + -4. Let s(k) = -3*k**3 + 3*k**2 - 4*k + 6. Let m(t) = i*s(t) - 4*z(t). Give m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 6*v = -6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -30 (c) 1 (d) -259 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 11 = 3*z, -z + 74*d - 77*d - 8 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, -90, -1\/3 in decreasing order.\nAnswer: 16, 5, -1\/3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78048863 and 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*s + 2263 - 401 = 0. What is the remainder when s is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 344646, 5, 1 in decreasing order.\nAnswer: 344646, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12396 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 18 - 42 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7314.869 decades in millennia?\nAnswer: 73.14869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -87. Suppose b + 4*v = -8 - q, 2*b + v = 19. Solve 0 = k - 5*k - b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 41. Let m(x) = x + 1. Let n(v) = v**2 - 2*v + 7. Let s(p) = -3*m(p) + n(p). Calculate the remainder when c is divided by s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 8 = -15*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -14. Suppose g - 2*v = 5*g - 14, -o*v = g + 10. What is the remainder when 19 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a - 20. Calculate the common denominator of 63\/(0 - (a\/(-2))\/1) and (1\/35)\/((-6)\/(-1635)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1461617*l - 1091491?\nAnswer: -1461617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11567 is divided by 163.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905176558 to the power of 1\/4, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1321\/5 - 265. Which is the closest to -4? (a) n (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 21*l**2 + 1 - 5*l - l + 3*l. Is i(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673080 (base 9) in base 8?\nAnswer: 1422060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*t + 229*t - 110*t - 58 = 4*o, 6*t = 4*o + 19 + 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 26712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*a + 55*a - 22. Let q = a - -50. Let x = -32 + q. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3480066785?\nAnswer: 5, 13, 53539489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -95482?\nAnswer: 95483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.0367135 - -4.136709. Let t = 0.9 + a. Round t to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 26, 65, 120, 191?\n\"Answer: 8*t**2 - t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1137, -0.5, -0.09, -1.3, 2\/7, -0.2?\nAnswer: -0.1137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: d8 (base 16) to base 9\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23470381933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827585567?\nAnswer: 13, 73, 4033283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-408)\/32*(-2)\/6. Is w > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01293858608 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 18.09744?\nAnswer: -15.09744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(2\/(-4)))\/1. Suppose 6*f + 75 = 99. What is the highest common factor of h and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 2*f + 0*f - 2*f - 4 = 0, -2*j - 148 = -25*f - 3*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 16 = d - 2*w, 0 = 5*d + 5*w - 45. Suppose -8*r + 32 = -d*r. Let l = -5 + r. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/60 and 91\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggqggggqq. What is prob of picking 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9))**(-2) assuming r is positive.\nAnswer: r**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -10, z = -2*a - 2*a - 18. What is the first derivative of -2 - 4 + 8*j**3 - z wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12 and 217\/70 + (-6 - -4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = -36*w + 15. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -10. Let g be -4 + p + (-7)\/(-4). Let t = g + -39\/20. What is the common denominator of -149\/6 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:25 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 18 - 2. Let m = -34 - -37. Solve v = -m*v - p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66767170289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49000029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001001 + -1?\nAnswer: 101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/((-48)\/42) - -7. Is 2\/397 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 13\/4. Let k(y) = y**2 - 4*y + 1. Let h be k(4). Put l, 5, h in decreasing order.\nAnswer: 5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74818 divided by -2.\nAnswer: -37409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24 (b) -2\/7 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6591660 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-6) + (-91)\/42 + -7. Let g = -98 - -5. Let k be g\/j - (-2)\/(-6). What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 24?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/126*((-14)\/42)\/((-2)\/42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.06 - 0.85. Let g = 0.31 - a. What is the smallest value in g, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104 and 21?\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2900*d = 2905*d - 2950. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136659197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8441?\nAnswer: 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*s + 3*s. Let h = -29027 + 87079\/3. Sort 0.2, s, h.\nAnswer: s, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(12\/1758*3). Let u = -97 - v. What is the second smallest value in 2, 8, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 24. Suppose b = 5*c - 1. Let o be (-6)\/(-3) - (3 + -2). Calculate the greatest common divisor of o and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 23447*r**2 + 87830*r**2 - 3*r.\nAnswer: 64383*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1)*s)\/(s*s*s**(-15\/2))*((s*s**23*s)\/s)\/s**(-1\/15))**(-2\/5) assuming s is positive.\nAnswer: s**(-917\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -504136 at most as big as -504136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-19 - -5 - -23)) + 66 - -1\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163275758.1ns to weeks.\nAnswer: 0.00000026996653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 460 = 8*j. Let g(i) = i. Let y(n) = -31*n - 19. Let d(o) = j*g(o) - 6*y(o). What is the first derivative of d(w) wrt w?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -511.\nAnswer: 2\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8.9. Let i(n) be the first derivative of n**4\/4 - 7*n**3\/3 + n**2 - 16*n - 35. Let z be i(7). Put 0.4, z, h in decreasing order.\nAnswer: 0.4, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/3 + 14*g**2 - 12*g - 30. What is the units digit of v(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w**2)*(-7*w**3 + 2*w**3 - 2*w**3).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -17. Suppose -392 = q*a - 6*a. Suppose 4*c + 30 = a. What is the remainder when 65 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - 13*o - o + 3*o + o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 d, and 1 p when four letters picked without replacement from rrroprorddrdddrdrdr?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*r - 37 + 2, 2*r - 50 = 2*f. Suppose -r*b + 24*b = -24. What is the highest common factor of 32 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135523.\nAnswer: 59, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, -599, -5, -5712 in decreasing order.\nAnswer: 4, -0.5, -5, -599, -5712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*g = q - 27, 5*q - 35 = -4*g. Solve -k + 2*k + q = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*v + 243*d**3*v + 2*d**2*v - 81*d*v wrt d.\nAnswer: -24*d*v + 1458*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56733.34um to millimeters.\nAnswer: 56.73334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/(t**(-2\/5)\/t)*t)\/t))\/(((t*t**(9\/5)*t)\/t)\/t))\/(t**(2\/15)\/(t*(t\/(t\/(t**(1\/31)\/t))*t)\/t)) assuming t is positive.\nAnswer: t**(-400\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7513 is divided by 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 350024231?\nAnswer: 350024223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 56. Suppose -5*b = -4*j - 140, -p*j + 116 = 3*b - 0*b. Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + (-56)\/1 + -37?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:14 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -21 + -23 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-28)\/(-4) - (-9)\/(72\/128)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008629893 rounded to 6 decimal places?\nAnswer: 0.00863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvgg. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 - 641*h**3 + 5666*h**2 + 13904*h = 0 for h.\nAnswer: -2, 0, 11, 632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = -4*r + 14*a + 4080, 4*a = -2*r + 2030. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/72 and -95\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 120 (c) 2 (d) -0.4 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -25703473.8 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 5\/9*n**3 + 0 + 0*n**2 + 7\/18*n**6 - 1\/4*n**5 - 10*n - 5\/12*n**4 - 5\/42*n**7. Factor x(m).\nAnswer: -5*m*(m - 1)**3*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 9) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:34 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1254375*c - 1254468*c - 10788 for c.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*x + 4. Let p(b) = b**2 - 10*b + 4. Let y be p(x). What is the common denominator of 23\/5 and (4\/(-12))\/(y\/(-33))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/38*40\/(-50)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -7*m**3\/6 + m**2 + 2*m. Let v be j(-2). Let h = v - 11. Solve b = -3*i, -2*i + h*b = -7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984828899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26422*-139\nAnswer: -3672658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - 2*a - 3*a**2 + 0*a**2 - 25 + 4*a**2 to the form w*a + x*a**2 + j and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 471 - 181. Let h = u + -275. Suppose 5*k - q = 977, 0*k - 2*k + 400 = -5*q. What is the highest common factor of h and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 305*h**2 + 6 - 127*h**2 - 5 - 200*h**2.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 3*x = 12*k - 77, -19*k - 69*k - 4*x = 460 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 234716608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 5*o + 9. Let i be y(6). Suppose 0 = -18*l + 22*l + 44. Let b = i + l. What is the remainder when 7 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5050437 and 1187.4.\nAnswer: 5051624.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 4*r + 1. Let w be n(-6). Suppose -3*u = -10 + w. Let x = -8 - -8. Put x, -1, u in decreasing order.\nAnswer: x, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*x + 227. Suppose h - 4*f - 74 - 188 = 0, 7*f = -35. What is the remainder when h is divided by x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 52*l. Let z(a) = 7*a + 1. Let h(t) = 4*t - 2. Let w(j) = 2*h(j) + z(j). What is y(w(c))?\nAnswer: 780*c - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3035 + 2942.56. Let s = -96 - v. Let p = s + 3.9. Round p to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/14)\/1*(-8)\/6. Sort s, 99, -3, -1, -4 in decreasing order.\nAnswer: 99, s, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 - 2*x**3 + 12*x**2 - 14*x + 5 = 0. Calculate x.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let s be k(1). Put 5, s, 0 in descending order.\nAnswer: 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/126)\/(2\/3). What is x in k*x + 0 - 2*x**2 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/3 + ((-144)\/(-27))\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 22*m - 27*m - 95, -3*m - 5*n - 67 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k + 6. Let r be (3\/(-6) - k)\/(25\/(-40)). What is the second smallest value in 0.5, r, -8, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + f**2 + 8*f**2 + 6 - 7*f**2.\nAnswer: 2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.340646291 rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*i = -40, 13*i + 60 = 4*v + 9*i for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aujffey. Give prob of sequence fau.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24 = -b, -5*l - 4 - 12 = b. Suppose 3*g - 480 = -45. Suppose 1 = -4*k + g. What is the highest common factor of b and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 8*v + 322. Let z = v - -100. Suppose 5*c + 3*p - 51 = 0, -2*c - 2*c = -2*p - z. Which is smaller: 11 or c?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 33. Suppose 61 + r = 12*i. What is the second derivative of 3*x**5 - i*x - 33*x + 57*x - 7*x**5 wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-22)\/(308\/(-294)) + -27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 22687128*s**2 - 30144*s + 542592. Let c(l) = 3763*l**2 - 5*l + 90. Give -5*b(r) + 30144*c(r).\nAnswer: -3768*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 + 8862*u**4 + 198*u**3 + 4803989*u - 7 wrt u.\nAnswer: 20*u**3 + 106344*u**2 + 1188*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259885 - 779653\/3. Solve 2\/3*u**2 + 2*u**3 - 4\/3*u**5 + 0 - m*u**4 - 2\/3*u = 0 for u.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*r = -773, 8*r + 769 = 3*l + 4*r. List the prime factors of l.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = l + 1621, -5*l - 429 = r - 2*r. List the prime factors of r.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1212121200210?\nAnswer: -1212121200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284 divided by -5.\nAnswer: 284\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.183 or 10\/271?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:13 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*u - 4*q = -400*u + 4, -3*u = q + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/48 and -181\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 14392272.\nAnswer: 14392269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 437940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35578 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 + -95942.8.\nAnswer: -96125.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365415 is divided by 604?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534 (base 14) to base 12.\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 9*t. Let n(g) = -g**2 + 8*g. Let f(w) = 2*h(w) - 3*n(w). Let v be f(6). Let m be (-11 + 3)\/(2 + -5 + 1). Sort m, 3, v in ascending order.\nAnswer: v, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30903619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1857 - 1852. Suppose -17*l + 14*l + 5*g + 26 = 0, w*l + 3*g + 2 = 0. Factor -2 + 1\/4*n**l + 1\/2*n.\nAnswer: (n - 2)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56182808 rounded to three decimal places?\nAnswer: 0.562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - (-627)\/(-99))\/((-2)\/9). Which is the second smallest value? (a) 4 (b) 43 (c) 2\/11 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5679392559868 - -2.\nAnswer: 5679392559870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -17. Let w(x) = -x**3 - 3*x**2 - 4*x - 3. Calculate w(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b - 101. Let o(k) = 26*k + 201. Let t(w) = -10*f(w) - 4*o(w). Let z(h) = 2*h**2. What is z(t(p))?\nAnswer: 72*p**2 + 4944*p + 84872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 55 = -5*p, -2*d + 3*d = -3*p + 26. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446389298665 + 1372*p + 446389298665.\nAnswer: 1372*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**2 - 81*l**3 + 5*l**2 + 7*l**2 + 82*l**3.\nAnswer: l**3 + 32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -6, -210814?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Let a be -1 + 1*(8 + w). Suppose 2 - a = -d. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/5 - 14*h**4\/5 - 34*h**3\/5 - 18*h**2\/5 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50 (b) 97 (c) 0.4 (d) -4\/7 (e) 25 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 720*i + 181539. Give b(-252).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-5) + (-4)\/(-10). Let y(i) = -i**3 - i**2 + 4*i + 9. Let h = 474 - 476. Let t be y(h). Put s, 7, t in decreasing order.\nAnswer: 7, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 29 = -11*z, 4*z - 8*l + 10*l + 16 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784868?\nAnswer: 2, 3, 59, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468 = f + f. Let d be (-1)\/(-3) - f\/(-3). Suppose 0 = 6*j - j + d. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 40*h - 13*h.\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2 - 5 - 2*u**2 - u**3 + 3*u**2 - 2*u + 3*u. Let h(c) = -9*c + 150. Let i be h(17). Let t be d(i). Solve -4*y + 10 = t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*p*q**2 + 2*h*q**3 + 3*h*q - 8*p*q**3 + 2*p*q**2 - 4*q**4 + 3*q**2 wrt q?\nAnswer: 12*h - 48*p - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.711325 micrograms to kilograms.\nAnswer: 0.000000004711325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 34*p - 114. Let r be v(-4). Let a(f) = -f**3 + 6*f**2 + 8*f - 2. What is a(r)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 54. Let q = o - 4.8. Let z = q + 6.1. Sort -3, -1, -0.5, z.\nAnswer: -3, -1, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/13)*(w**(3\/7)\/w)\/w*((w**(-2\/5)*w)\/w)**28*(w**(1\/4)\/w**(-3\/2))**(3\/17) assuming w is positive.\nAnswer: w**(-390353\/30940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -27933015?\nAnswer: 27933016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 192 = 15*m. Let w(a) = -a**2 + 5*a + 7. Let r be w(6). Let y = -8 - r. Is y > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**9 + 579*u**5\/20 - 1834*u**2. What is the third derivative of l(k) wrt k?\nAnswer: -60480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 65\/10 + -3. Suppose f - 24 = 3*u, -5*u + 0*u - f = 48. Let m = u - -11. Is v greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 56*q**2 - 344*q - 9. Determine v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**4 - 3*v**2 - 67*v**3 + 65*v**3 - 6*v - 10 + 5*v to the form i + y*v**2 + t*v**4 + w*v + g*v**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 2*a**2 - 90*a - 179. Let t be g(-9). What is the fourth smallest value in -1\/3, 3\/4, -2\/7, t, 0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -758, -1686, -2842, -4286, -6078, -8278?\n\"Answer: -10*f**3 - 54*f**2 - 696*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368718889115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -235888, -943559, -2122998, -3774205, -5897180, -8491923?\n\"Answer: -235884*n**2 - 19*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341552041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6177 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14\/53, -3, -24?\nAnswer: -14\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -66 - 1\/3*o**3 - 2*o + 0*o**2. Give r(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 14 - (340 - 302)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-54)\/(-22)) - -1. Let w = -0.9 - 0.1. Which is the third biggest value? (a) p (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/180 and 103\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 37. Let m(k) = 24*k + 9. Let y be m(4). Let v(g) = 10*g - y - 105 + 209. Give v(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300 - 131211302200?\nAnswer: -131211311100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 - 28 = 0. Let q = l - -12. Suppose 2*a - s = a + 22, q*s = 20. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 61, 174, 377, 700, 1173, 1826, 2689?\nAnswer: 3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h - 2*h + 0*h)*(0 + 0 - 2*h) + 2*h**2 - h**2 + 2*h**2)*(-18 + 8 - 1)*(1 - 1 + h**3).\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + w**2 - 3*w + 1. Let x be q(2). Let v be (-7)\/(-2) - 1705\/(-110). Solve -y - x + v = -3*t, 5*y - 9 = -2*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1992 + -1989. Let t = -0.2 + 0.7. Let x = -0.5 - t. Which is the closest to x? (a) 1 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 i, and 1 t when four letters picked without replacement from {i: 10, t: 1, e: 8}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69411511867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -11, -6, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -555\/521 or 0?\nAnswer: -555\/521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 8. Let a be m(11). Factor -4*k**2 + 0*k**3 + k**3 + 2*k**2 - 3*k**a.\nAnswer: -2*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8754 + 22958 = -8*m, -2*m + 39700 = 5*g. What is the highest common divisor of 392 and g?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 14732376*x - 14732373.\nAnswer: -3*(x + 1)*(x + 4910791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 6788*t + 576378. Calculate p(86).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:41 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = 0. Suppose z = -d*z. Let j be (1 + z)*(0 + 2). Solve j*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*r = 74, 3*r - 69 = 2*z - 5*z. What is the lowest common multiple of z and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 293, 1163, 2609, 4631, 7229, 10403?\n\"Answer: 288*i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 15*h**2 - 5510*h - 1296. What is m(-82)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1786540460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -253*f**4\/24 + f**2 + 237. Let h(o) = -8*o**2. What is h(n(g))?\nAnswer: -512072*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 493555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -620, -931, -1242?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + -20313?\nAnswer: -20352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67080 and 66?\nAnswer: 737880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 10*n - 6 = 0, 4*f - 176294 = -3*n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = 3*o + 2*o. Let s = -36 - o. Suppose 1298 - 167 = s*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5887 + 1771989\/301. Let w = -342467\/217 + 48915\/31. Do w and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99901998 a multiple of 2331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 12)*(-10*u - 8 + 8) + (2 - 1 + 2)*(5*u - 3*u - 7*u) + u - 4*u + 2*u.\nAnswer: 74*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*x = 14*x + 139*x. Let l(o) be the first derivative of -3\/4*o**4 + 0*o**2 + x*o - 41\/3*o**3 - 30. What is the third derivative of l(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4741832.\nAnswer: 2, 457, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(4743\/(-1326))*3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/5 - 15*g**2 - 504*g\/5 - 432\/5.\nAnswer: -3*(g + 1)*(g + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 + -175. Suppose -16 = -5*a - 6, 4*m + 38 = -d*a. Put 2, 4, m in ascending order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*k - 4*c, -k - 2*k + 4*c = -12. Let o = 27 - k. What is the greatest common divisor of o and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*b = 4, -2*z + 4*b - 9 + 1 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10 + -2 + 42\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 32*s**3 + 1937 - 29*s**3 - 1939. Let a(r) = r**3 + 1. Determine a(v) - w(v).\nAnswer: -2*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -222710000 rounded to the nearest one million?\nAnswer: -223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212529272.\nAnswer: 2, 1259, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 3. Let d(o) = -o + 1. Let h(p) = 3*d(p) + n(p). Let u = -8 + 2. Let c(m) = 2*m. Give u*h(x) - 5*c(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8535.6 rounded to the nearest 10?\nAnswer: -8540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 803699107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-24)*b)*b*b)**(-1\/3) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/4 - 2*m**3 + 5*m**2\/2 + 3*m + 7. Let n be d(5). Let v be (2 + (-4)\/(-4))\/n. Which is bigger: v or -4\/21?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 221414228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*x - 33 - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23936 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*q + 51 - 44 - 28.\nAnswer: -49*q - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42030 (base 11) to base 4\nAnswer: 32331023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*y + 197*y + 1944334 = 0. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 5*c = -9*x + 13, 2*x = 2*c + 10. Let z(w) = -7*w + 6. Let s(b) = 8*b - 7. Let p be -2*((-7)\/2 - 0). Give p*z(g) + x*s(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2281 is divided by 456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3155906 (base 10) to base 5.\nAnswer: -1301442111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-57)\/6)*2\/47. Let b = -130\/1269 - y. Find the common denominator of -43\/63 and b.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 0 + 0 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let b be m(-2). Let d = -636 + 1096. Let z = -459 + d. Solve g = -b + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 + 4 = 0. Suppose 4*a = 7*a - 3. Which is bigger: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -81*f**5 + 3384*f**4 - 46873*f**3 + 211722*f**2 + 48804*f + 2744 = 0.\nAnswer: -1\/9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -10*s + 312. Calculate the remainder when s is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17*16\/12*3 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x + 4. Let q(f) = -29*f - 7. Let g(u) = 5*j(u) + 3*q(u). Let m be g(-1). Suppose 0*v + m = v. Calculate the greatest common divisor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5767\/(-51192) - (-3 + 69\/24)?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/441 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 - 10*w - 141. Let y be m(6). Solve -1862 + 1787 = -y*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*772\/(-965)*195\/(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127473.5 + -127474. Let v = 6 + -10. Which is the third biggest value? (a) -1\/8 (b) -0.3 (c) x (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -w + 1673. Is 40 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287475863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/851 and -33\/518.\nAnswer: 11914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**2 - 3 + 1279*h**4 + 3083*h**4 - 1 + 128*h**4 - 81*h - 289*h**4 wrt h.\nAnswer: 100824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*j**2 + 940 - 940)*(-6*j + 9*j - 2*j)*(5 - 1 - 3).\nAnswer: -67*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4225448533 and -171.\nAnswer: -4225448704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 1634*t**2\/5 + 80912*t\/5 - 206856.\nAnswer: 2*(t - 765)*(t - 26)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/6 + q**3\/6 + q**2\/2 + 4*q. Let g be a(6). Let k be (-4)\/(-10) + g\/(-25). Solve 2*t = -1 - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 + 510 - 162 = 66*b. Solve -4*x + k - 2*k + b = 0, x = -2*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69631?\nAnswer: 179, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f - 10. Which is the nearest to f? (a) -0.2 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 5 (b) 26.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500 + 504 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m - 6*m**3 + m - m**2 + 8*m**3 as w*m + o*m**2 + s + v*m**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (120\/540)\/(((-616)\/6516)\/(-7)) - 17\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 9*n - 65. Let t be y(14). Suppose -t*k + 2*a + 2396 = 0, k + 2*a = a + 482. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1893\/7 - 271. Let j = y - -1\/14. Let v = 5 + -3. What is the nearest to -1 in v, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 1, w: 3, v: 5, o: 1}. Give prob of sequence wzbw.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**(7\/3)*(v**0)**(-3\/28)*(((v\/v**(1\/9))\/v)\/(v**1\/v))**(-30) assuming v is positive.\nAnswer: v**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 32, 46, 50, 38, 4?\n\"Answer: -a**3 + 4*a**2 + 13*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5114635 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -89. What is the highest common factor of 45 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/8)*m**31)**(-32))**45)**(-5\/9) assuming m is positive.\nAnswer: m**24900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1127691*h**3 - 568417*h**3 - 564234*h**3.\nAnswer: -4960*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -112. Suppose 5*y - 2192 + 802 = 0. Calculate the remainder when y is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30308 is divided by 281?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 18 - 51)*(-2*x**3 + 3 - 3)*(5*x + 2*x - 13*x) - 3*x**2 + x**4 + 3*x**2.\nAnswer: -731*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z - 17 = 4*u, -19 = 5*u + 4*z. Let l(q) = -q**3 - 2*q**2 - 3*q + 2. Calculate the least common multiple of 22 and l(u).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 167*i**3 - 2*i**2 - 3*i + 4. Give f(1).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617470393.\nAnswer: 37, 16688389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/11 + 1174*i**2\/11 + 1336*i - 191680\/11 = 0?\nAnswer: -20, 8, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -440250442 (base 6) in base 3?\nAnswer: -112210100110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 145*z**2 + 31796*z - 1068. Determine s(-265).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let c = -0.6 + d. Let y = c - -3.6. Sort y, -0.5, -5 in decreasing order.\nAnswer: y, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v + 0*v**2 + 31*v - 3*v**2 - 47*v.\nAnswer: -3*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 16) to base 10\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*o + 63*o. Solve o = -y - 47 + 40 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 20. Let f be h\/(-5) - 36\/(-10). Suppose -t - 2*q = -6*t + 28, -4*t + q + 20 = 0. Calculate the highest common divisor of f and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 2. Let j(p) be the first derivative of -29 + 6 - 1306*p**2 + 2*p - 5*p + 1307*p**2. What is j(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 = 1, 4*w + g - 205 = 0. Let a = 807 - 1229. Let q = -409 - a. What is the remainder when w is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4 take away -55290774?\nAnswer: 55290788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2727*h**2 + 2730*h**2 + 2728*h**2 - 10914*h**2 - 10*h**3 + 2729*h**2.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - ((-1 - 2) + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 979243805 and 3425?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.202*21\nAnswer: 4.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 3871.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:02 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/2*16\/(-12). Let n be 18*(28\/(-8))\/(-1). Does 25 divide 76\/(-3)*n\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0267631 and 4?\nAnswer: 0.1070524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + r**2)*(-4 - 2 - 3)*(-5 + 2 + 2).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)\/t)**(4\/11) assuming t is positive.\nAnswer: t**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -140*c + 557. Give i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/4 + c**3\/3 - 2. Let t(k) = -k + 1. Let l be t(2). Let i be y(l). Solve i*m = -3*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 18*a**2 + 147*a + 101. Let i be h(-24). Solve -i*v + 45 + 71 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10026983?\nAnswer: 331, 30293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -9*n - 8*n. Solve 0 = -v + 4*g + 11, -3*v + 0*v = -n*g - 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37146183?\nAnswer: 3, 12382061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from gobobbgonoboo.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2045 + -2229. Suppose 13*b - 8*b + 925 = 0. Are b and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 14825\nAnswer: -14809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -58. What is the third derivative of u*m**3 - 11*m**2 - 4*m**2 - 6*m**2 - 14*m**3 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(13) + sqrt(13))*-5 - -1*sqrt(1053))**2 - ((sqrt(13) - (sqrt(13) - (sqrt(13) + sqrt(117) + 3)))**2 + -2*1*sqrt(13))*-6.\nAnswer: 132*sqrt(13) + 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1180\/9 + -9527\/72. What is the common denominator of f and 83\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -1.1, 2, 2\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764\/5*j + 762\/5 + 2\/5*j**2 = 0. What is j?\nAnswer: -381, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13*m - 6. Let q(p) = -14*p - 7. Give -7*a(d) + 6*q(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**3 + 11*v**2 + v. What is z(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*h - 443, 2*h + 3*h - 219 = -2*x. Suppose -5*m = -173 - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/44 - (-344)\/44. Let q = 39 - i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*b**2 + 110*b**2 + 44*b**2)*(2 - 2 - b) - 3*b**3 + b**3 + 5*b**3.\nAnswer: -111*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1176 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420132 is divided by 1616.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510891 not equal to 2510892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-256)\/48)\/(-1 - 1\/(-3)). Calculate the common denominator of (1\/(-25))\/((-4)\/(-290)) and (0 - (-3 + 276\/b))\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6*q = 8*q + 2, -4*u + 4*q = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = -c, -3*u = 3*c + 2*u + 14. Let l = c + 11. Suppose 18 = r - l*f, 2*r - 7 - 4 = f. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 - i + 25. Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4300604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 21810 + 21639 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + 5 = 0. Let z = -91 + 96. Solve 19 = -f*n + 3*q, -z*n + 0*q + q = 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224090 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 675 - 676. Let a(k) = -11*k**2 + 3*k + 2. What is a(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 462, 1033, 1832, 2859, 4114?\n\"Answer: 114*r**2 + r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(500) + 2 + 0 + 0 + sqrt(5))*5.\nAnswer: 40 + 220*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -445 + 968. Is m greater than or equal to 522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muimximiuimuxxxx. What is prob of picking 3 m?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(28)\/(sqrt(4)*5))**2 - ((sqrt(448) - 1*sqrt(448))*-6)**2.\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -226, 77, 1004, 2843, 5882, 10409, 16712?\nAnswer: 25079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5118*299.\nAnswer: 153.0282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 14*g**2 - g + 8. Let f be b(7). Let j be (15\/((-30)\/(-6)))\/f. Solve -2*m + 3*w - 4 = 0, -j*w + 13 = 3*m + 2*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - 4\/(-3). List the prime factors of 12*(q\/6)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -21. Solve 0 = 2*c - 8, 6*s = a*s + 4*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 10 (b) 15 (c) -1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-62))\/(870\/(-580)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/4 - 235*k**4\/12 - 5*k**3\/6 + 235*k**2\/2 - 182*k - 1. Factor u(q).\nAnswer: 5*(q - 47)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 376*y**3 + 43*y**2 + y. Is 37 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 + 12*n**4 + n**2 + 421?\nAnswer: -60*n**2 + 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v. Let a(r) be the third derivative of r**4\/8 + 2*r**3 - 24*r**2 - r. What is the tens digit of a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, 1 u, and 1 k when four letters picked without replacement from wyuwukuyuwwuyyk?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -24*u + 256. Let q(x) = -36*x + 383. Let d(k) = -5*q(k) + 8*w(k). Let r be d(10). Calculate the greatest common divisor of r and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = 95 - 29 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2070*r - 2*r**3 + 2071*r - r**3 - 3772.\nAnswer: -3*r**3 + r - 3772","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*v + 4920279 = 29*v - 3676521. List the prime factors of v.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14898.138 - -899\nAnswer: -13999.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 5 (c) -18\/77 (d) -1\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let y(r) = 2*r**2 + r - 2. Let c be y(-2). Let s = 85 + -80. Sort c, s, z.\nAnswer: z, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**4\/24 + 35*n**3\/6 + 7*n**2. What is the units digit of q(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 9*l**2 - 9*l + 4. Let g be (-1)\/3 - 46\/6. List the prime factors of h(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3648005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 11, v: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*n - 10 = 3*n, 0 = 3*n - 12. Solve 4*g - 14 = o*f, 0 = -2*g - f - 0*f + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/sqrt(12) - (sqrt(8) - (sqrt(200) + sqrt(8)))**2) + (1*(sqrt(2) + 1) - (sqrt(2) + 2*sqrt(2) + 1))**2.\nAnswer: -192 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/12 - l**3\/6 + 17*l**2\/2 + 2*l. Calculate the smallest common multiple of (3 - -6)*(8\/(-9) + 1) and o(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16261*j + 13. Determine n(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27)*3 - 14\/(-3). Factor 347*a**r + 3*a**5 - 341*a**4 - a**2 - 3*a**3 - 5*a**2.\nAnswer: 3*a**2*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(-4)\/68*(0 - 17 - -11)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20230361 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -4*t**5\/25 - 1612*t**4\/5 - 1299272*t**3\/5 - 523606616*t**2\/5 - 105506733124*t\/5 + 70. Factor d(b).\nAnswer: -4*(b + 403)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 8*u - 6. Let y be r(-9). Let a be (-4)\/(-6)*y\/2. Sort -1, 3, a in ascending order.\nAnswer: -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - 178*d - 28*d - 83*d.\nAnswer: -302*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -1\/12*s**4 + 0*s**3 - 5*s + 0*s**2 + 3. Let y(v) be the first derivative of k(v). Let l(r) = -6*r**2. Give y(l(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = -5*q, -3*q - 4 = -q - 4*x. What is the third derivative of z**4 - 19*z**2 + 17*z**q - 10*z + 0*z**3 + 26*z**3 wrt z?\nAnswer: 24*z + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 9*m - 13*m - 1, -4*m - 16 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97076177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1. Let z(d) = 5*d - 8. Let b(l) = 6*s(l) - z(l). Let u be b(-3). Let k be (u*2 + 0)*-12. What is the highest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31808291.\nAnswer: 1373, 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/8 - 9031*z**4\/8 + 4502*z**3 + 207597*z**2\/2 + 108396*z - 649944 = 0.\nAnswer: -6, -4, 2, 12, 9027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 936402119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -747505395 divided by -35\nAnswer: 21357297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*120\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p + 12. Let x be o(3). Let r(q) = -5*q**3 - 4*q**2 - 3*q + 7. Let l(g) = -g**3 - g**2 - g + 1. Calculate x*l(h) + r(h).\nAnswer: -2*h**3 - h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 9*k**5\/5 + 79*k**4\/5 - 108*k**3\/5 + 4*k**2 = 0?\nAnswer: -10, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348, -261, -20, 453, 1236, 2407, 4044, 6225?\nAnswer: 9028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 5:22 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/19794 and -61\/240.\nAnswer: 791760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20640903.\nAnswer: 3, 43, 53, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 491, 1135, 1767, 2387, 2995?\n\"Answer: -6*a**2 + 662*a - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -134*v + 2977. Let w be n(22). Are 14 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z**(-5\/2))\/(z*z**6)**(-19))**(-16) assuming z is positive.\nAnswer: z**(-2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 64 - 131 + 2*u + 64. What is x(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35205, 35214, 35225, 35238, 35253?\nAnswer: 35270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 185602115 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) - (sqrt(140) + -3*sqrt(140)))\/(-5*(sqrt(15)\/sqrt(3) + sqrt(5))).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 12 + 17 + 6*q)*(-4*q - 1 + 5*q - 1)*(-1 - 4 + 0).\nAnswer: -30*q**2 + 70*q - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 111920*u + 202263184 = 0. What is u?\nAnswer: -26038, -1942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 16 (c) -345723\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 - -289.016. Let p = 0.114 + k. Let n = p + -0.13. Which is greater: n or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbmmbxbxbx. Give prob of sequence mmb.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1338516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 20815420 to the nearest one hundred thousand.\nAnswer: 20800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*i + 4, -103*i = 3*h - 104*i + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 200\/12*9\/(-6). Let o = 38 + p. Solve -3*i + w - o = 0, -3*w + w = -3*i - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 0, 19*g - 4*c - 422 = 14*g. What is the derivative of 10 - g*x**4 - x**4 + 17 wrt x?\nAnswer: -348*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + a**2 - 2*a - 1. Let i be g(-1). Let z be (1 - (-1 + i))*-24. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10*b - 4*b + b)*(3 - 2 - 2) - 2*b + 5*b - 2*b)*(b**3 - b**3 - b**3).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpffpfp. What is prob of sequence pfpp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -5) + -8 - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/29 (b) 38 (c) 1\/6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -24 - (-3 + 17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 20*v**2 + 2*v + 21. Let r be o(-10). Suppose 2*q - 8 = -2. Suppose 4*i - 9 - q = 0. Solve 4*n - r = i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 3*f + 2*s, 5*f + 4*s + 42 = 6*f. Let g = f - 43. Solve -4*v = -g + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.61 and -0.031.\nAnswer: 0.01891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/8 (b) -2\/7 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4739 is divided by 763?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Let d(r) = 3*r**2 + 2*r - 5. Let u(s) = 2*s**2 + s - 4. Let m(x) = -3*d(x) + 4*u(x). Give m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36670 equal to -880115\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40357*o = -40346*o - 308. What is the third smallest value in 23\/4, o, -2\/7, 5?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 16 - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/325 or -1?\nAnswer: 16\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27416422814 and -3.99?\nAnswer: 27416422817.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*((-510)\/(-1071))\/((-10)\/(-28))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1410*d - 829 wrt d.\nAnswer: 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -4, -9, -16, -25, -36, -49?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/175705117 and 5\/77.\nAnswer: 1932756287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.63 + 0.03. Let x = -3.7 - n. Is x at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 + 6*c**2 - 76*c - 6. Let w(k) = -6*k**3 - 15*k**2 + 150*k + 15. Give 5*b(s) + 2*w(s).\nAnswer: 3*s**3 - 80*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5. Suppose -7*j + 12*j = 185. Suppose c = -2*d + d + j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:13 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/3 - 293*j**2\/3 - 14918*j + 125424 = 0. What is j?\nAnswer: -117, 8, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*x - 2, q + 14 = 4*x - 0. Let m(s) = 5 - 7 + 4*s + 5. Let d be m(q). Which is the second smallest value? (a) d (b) -1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:05 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-1)\/26) + (-36 - -36 - 0). Solve -a*g - 10 = -21*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r**2 - 31*r**2 + 73*r**2 + 493*r**2)*(0*r**2 + 3*r**2 - 4*r**2)*(-4*r + 2*r - 6*r).\nAnswer: 4152*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 27. Let o be r(32). Suppose -6*q + 3*q - 223 = -o*n, -n + 2 = 0. Let l = 19 - 89. Which is greater: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 3)*(-1 + 0). Suppose 24 = -3*d + s - q*s, -5*s - 30 = 5*d. Let n = d - -14. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1411)\/(-6) + 3\/9. Let j = f + -863\/4. Find the common denominator of j and -95\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353*a**4 + 19*a**3 - 2*a**2 - 970438*a.\nAnswer: -4236*a**2 + 114*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 5) + -12 + -2 + 5 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-81)*6\/(-15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114944\/11 greater than 10449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 120 = -318. Suppose 21*p = 30*p - h. What is the greatest common factor of p and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(-2\/7))))**(-16)\/((o\/(o\/(o\/(o**(4\/9)\/o))*o))\/o*o*o\/o**15) assuming o is positive.\nAnswer: o**(-449\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/684*4)\/((-59)\/118).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k - 4. Let f be n(-1). Let w(m) = m**2 + 7*m + 6. Determine w(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 0.5, -1\/4, -66, -1078, 8, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103839799.\nAnswer: 7, 73, 203209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 447518390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/(-13) - (-18)\/117. Is (k - -7)*(-1)\/(1\/(-2)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1744 (b) 8 (c) 3 (d) -0.03 (e) -3\/7 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*18\/48*58\/(-1653)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320047014 by 7.\nAnswer: 45721002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13319574*g*s - 13205996*s wrt g.\nAnswer: -13319574*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from gdg?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 84 = -39*f, -11 = 3*o - 4*f + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-94)\/(-3619))\/(6\/63*(-6)\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = b - 1. Let q(t) = 3*t**3 + 12*t**2 + 2*t + 1. Let g(z) = z**3 + 4*z**2 + z. Let y(x) = 8*g(x) - 3*q(x). Give y(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -154? (a) 0 (b) -0.2 (c) 0.2 (d) -2\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93655.2 centuries to months.\nAnswer: 112386240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147671*g = 145972*g + 103639 for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {k: 10, y: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380588 divided by -29276.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 2 - (46 + -36 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 2*z - 1. Suppose 4*r + r = 0. Suppose 2*p + 0 - 2 = r. Let l be n(p). Solve u = 2*g + 9, 2 = -0*g + l*g + 2*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let o be ((-6 - -6)\/2)\/((-1)\/(-1)). Suppose -2*u - 2*u - 2*v - 28 = o, -v = 4*u + 30. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -729381.442 to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1654463 + 2*y - 2*y + 288*y**2 - 1654463.\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*o - 734 + 158 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 + 25*x**2 - 29*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 486.7 + -486.70058341. What is y rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, 0, 2 in descending order.\nAnswer: 19, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and 19\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -5. Let q(a) = 5*a**2 + 12*a + 3. Let t be q(-4). Calculate the greatest common factor of t and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 136.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 951391\/168870 + -3\/5629. Calculate the common denominator of k and 107\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3819 is divided by 191?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/36 and 2\/((12 - 14) + 24).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9fe3 - 0?\nAnswer: 9fe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*x + 9. Let c be (0 + 20)*(x - -10). Round c to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*u**2 + 268*u**2 - 534*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1320)\/336)\/(-11)*16\/5.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 9:11 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1801073, -3602120, -5403167, -7204214, -9005261, -10806308?\nAnswer: -12607355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10.46. Let y = -4.06 - t. Let x = 1.4 - y. Put x, -1, -4 in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*m - 124*m - 58*m - 1429 + 1429 to y*m + h and give y.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4*205\/(-24108)*156\/130\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1\/3, -35, -2\/47, 0.05 in descending order.\nAnswer: 1\/3, 0.05, -2\/47, -1\/4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:03 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*t - 738*t = -244*t + 18330 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 7) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:55 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42012637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2028125 by -275.\nAnswer: 7375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-29)\/(-4466)*22).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1677 divided by -129\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -4*d + 5*j, -3*d - 3*j + 225 = j. What is the remainder when d is divided by ((-25)\/(-50))\/((-1)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-21))\/(1\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2836298, -2836292, -2836284, -2836274, -2836262, -2836248, -2836232?\n\"Answer: u**2 + 3*u - 2836302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**9\/45360 - r**8\/5040 + r**7\/1890 + r**4\/6 - 6*r. Let j(w) be the third derivative of k(w). Suppose j(y) = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32986 + 5\nAnswer: -32981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40147195 is divided by 347?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 116048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvvvvvvvvvxpvvpvv. What is prob of sequence rpv?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -22486 times 53.2?\nAnswer: -1196255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(95) - 6*sqrt(95))*1)\/sqrt(5))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -232*x**5 + 610*x**4 - 1698422*x wrt x.\nAnswer: -4640*x**3 + 7320*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) 55 (b) 3 (c) -1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 4*y**2 - 2*y + 2. Let x = 407 + -411. Determine z(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 14*n**2 - n**2 + 10*n**2 + 2 + 15*n**2 as x*n**2 + a*n + r and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-6))\/((-1)\/9). Let b = 80 + r. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*2*4)\/(sqrt(512)*5).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 2516*t**3 + t**2.\nAnswer: 2516*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4305 (base 10) to base 9\nAnswer: -5813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1642*t**3 - 4*t**2 - 48*t. Let h(d) = 1641*d**3 - 5*d**2 - 56*d. Determine -6*h(a) + 7*l(a).\nAnswer: 1648*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 + 2*d - 5. Let w(s) = 5*s**2 + 3*s - 6. Let c(i) = 6*h(i) - 5*w(i). Let r be c(-8). Let u = 61 + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -2, 1, 6, 3.\nAnswer: -61, -2, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39440 times -5\nAnswer: -197200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*-6)\/((sqrt(6) - (sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(6)))*-2 + sqrt(6)) + -5.\nAnswer: -5 - 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287990 and 7430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i*i**(2\/45))\/i*i)))**(1\/30)\/((i\/(i**(-5)*i))\/i**(-24)))**9 assuming i is positive.\nAnswer: i**(-39103\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3\/5 - 600*h**2 - 8973*h\/5 = 0. Calculate h.\nAnswer: -997, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15\/13 + -152\/143. Let n = 0.19753 - -0.00247. Let s = -247 - -1732\/7. Which is the third biggest value? (a) n (b) s (c) t (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -faee (base 16) to base 14\nAnswer: -195a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/4 - 507*u**3\/4 + 5579*u**2 - 20787*u + 20276 = 0.\nAnswer: -548, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 - 36 = -5*u, -3*u = -3. Suppose 0 = -t - 4*t + m. Calculate the lowest common multiple of t and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -140\/177 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 2*j**2 + 51*j + 28. Calculate l(7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 12. Suppose 3*j - 3 = 5*f, 21 = 4*j - 2*f + 3. Does 12 divide j\/(x*2\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q*r*t**3 + 7*q*r + 2*q*t**3 + 2*q*t**2 - 2*r*t**2 + t**3 wrt t?\nAnswer: -30*q*r + 12*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16954 is divided by 138?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -2661*a**5\/5 + 4160*a - 1189. Find the first derivative of d(x) wrt x.\nAnswer: -10644*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + v + 2735, 0*v + v - 905 = -y. Suppose 0 = -9*x + y - 64. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*r**2 - 350*r + 1372.\nAnswer: -2*(r + 14)*(16*r - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 99650 rounded to the nearest one thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*x - 16 - 59 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 2*a**2 - 4*a. Let k be y(-3). Suppose c - 4*h = 22, 2*c - 34 = -2*c - 2*h. Calculate the remainder when 447\/12 - k\/12 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -937, -936, -935, -934?\n\"Answer: k - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 1. Let x be p(-1). Let y be 30\/4 + (-2)\/(-4). Suppose -15 = -2*n - n. Solve 4*h - n + 1 = b, -2*b - y = x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-20)*31440\/(-262)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3 + 715*z**2 - 8530*z - 9240 = 0.\nAnswer: -154, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -3)\/((-1)\/(-1)). Let w(l) = l**3 - l - 1. Let t be w(j). Let n = t - -23. What is the lowest common multiple of n and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 3*j)*((1 + 1 - 5)*(6 + 1 - 5) - 162 - 159 + 330 + 2 + 4 - 4)*(-1 + 2 - 3).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from zxtazzazzzdtxzazgzt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 14, 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y - 587. Determine a(-34).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -9*q**4\/2 + 158*q**3\/15 - 39*q**2\/5 + 2*q - 2934. Find t, given that z(t) = 0.\nAnswer: 1\/5, 5\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/((-150)\/(-180)*(3 - (-39)\/(-10))). Which is smaller: 14 or p?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 - 88. What is the third smallest value in -0.4, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 465\/20 - 3\/(-4). Solve 4*y - v + 1 = 3*u, -2*u = -2*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 13056?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2199 and -8.6.\nAnswer: -8.8199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-36)*5\/25\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8617641 less than -0.05?\nAnswer: 8617640.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134508 and 528.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12319 - 8725. Suppose -5*v + 5*d + 5440 = 0, 5*v - d - c = 1838. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 18 = -9*k + 11*k, -14 = 2*k - 3*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u - 5*p + 25, 3*p = -2*u + 22. Suppose 3*i + 72 = u*q - 6, i = -1. Suppose -2*a = -5*g - 23, 3*a + q = -2*g + 2. Which is greater: -1\/12 or a?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*j + 1376 - 294*j - 296*j - 297*j.\nAnswer: 12*j + 1376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 44*g**2 + 243*g + 1868. Determine l(-39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 51. Let c be (-2)\/k - 437733\/(-9072). Let g = -97\/2 + c. Is -1 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29083 is divided by 55?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 34768008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 16*h = -12*h - 432, 2*i - 5*h - 351 = 0. Solve -216 = 6*v - i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-24) + -6 + 1 - -5\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 945786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824817741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-12*(-7 + -7). Suppose -j - 504 = -7*u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17327106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*s + 6, 5*s = -4*z + 7 - 1. Suppose -z*h = 1 + 3. Let f = h + 4. Solve f - 7 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 4448 = 642. Calculate the remainder when i is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -921 + 923. Solve -z + 5 = 0, -35 = -3*h - v*z - 2*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 15*y**2 - 26*y - 6. Determine p(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 632482, 632486, 632496, 632512, 632534, 632562, 632596?\n\"Answer: 3*k**2 - 5*k + 632484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - c - 71 = 0, 2*f + 3*f = -c + 91. Calculate the remainder when 35 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690506821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302299 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*6)\/(-35 - -31) - 4. Sort -5\/4, 0, 2, 0.3, z in descending order.\nAnswer: 2, z, 0.3, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 10. Let s = 4\/27 - -14\/27. Which is the nearest to s? (a) w (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 2*l - 3. Suppose -5*y = -2*a - 4, -44 = -3*a - 2*y - 12. What are the prime factors of b(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - 3*x + 10. Let o(t) = 0 + 1 - t - 5*t**2 + 4*t**2. Let v(c) = -6*o(c) + u(c). Calculate the remainder when 11 is divided by v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 + 120001?\nAnswer: 111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 5*c - 166195, 0 = o - 2*c - 55398. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6 - (-3 + 1). Let i(a) = a**2 + 6*a + 6. Let c be i(-5). Is c at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 648.000612 - 648. What is z rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1365*h**2 - 2389*h**2 + 2124*h**4 + 11563 + 1024*h**2 with respect to h.\nAnswer: 8496*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15985556 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*w - 2, 3*f + 4*w = -w - 14. Suppose 7 = -f*j + 39. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11972 is divided by 228.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2943470*z**4 + 3*z**2 - 460*z + 68 wrt z?\nAnswer: 70643280*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -380*p**2. Let c(n) = 346*n**2. Determine l(c(q)).\nAnswer: -45492080*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = 85*q + 3*q - 244, y = -11*q - 10 + 34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 1. Suppose -192*i - 190*i - 219*i = -3005. Let k(x) = 1. Let n(p) = -3*p - 2. Let j(s) = -k(s) - n(s). Give i*j(g) + 6*z(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390 - 396 - (-14 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l = l + 175 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1606?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 11*q - 6. What is d(-13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263262?\nAnswer: 2, 3, 17, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -1\/5, 0.1, -2\/9, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsolaut. What is prob of picking 1 u and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 15 + 31 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318877427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let j = 258 - 252. Let d(h) = 8*h. Determine j*v(l) + 2*d(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (33 - 48 - (-16 - (-6 - 0)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 + 100\/6. Suppose -2*u + u - 19 = -3*c, -u = -c + 9. Suppose -w - 13 = -4*v, -4*v + 0 = c*w + n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5795*m**3 - 275*m**2 + 340*m - 85. Let u(b) = 276*b**3 + 13*b**2 - 16*b + 4. Give 4*q(d) + 85*u(d).\nAnswer: 280*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (31 + 3 + -58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7909 or -8399?\nAnswer: -8399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664397 rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037*-497.5992.\nAnswer: 18.4111704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-110) + 2\/(-11))*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -7\/6 (c) -2\/3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -ee18297?\nAnswer: -ee18296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 12 = 15*j - o, 4*o + 13 = j. Solve j*d - 53 = -78 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 - s. Let a be y(5). Let q(v) be the first derivative of v**3\/3 + 5*v**2\/2 + v + 18. Calculate q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -1\/6*y**3 + 0*y - 1\/24*y**4 + 12*y**2 + 18. Let r(j) be the second derivative of g(j). Calculate r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 6*x**5 - 3*x**5 + (0*x**3 + 0*x**3 - 2*x**4)*((-2 - 3 + 6)*(-43 - 4*x + 43) + 0*x + 3*x - 4*x).\nAnswer: 13*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22960 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.45 - -0.05. Let f = -1.5 - q. Is f less than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:35 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132912, -265665, -398416, -531165, -663912, -796657, -929400?\n\"Answer: c**2 - 132756*c - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-63)*((-1155)\/(-300))\/(-11).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose c*w = w. Suppose w = 4*n - 0*n - 8. Is 3 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)*-2*4\/(-32). Factor -1\/4*w - 1\/4 + 1\/4*w**2 + i*w**3.\nAnswer: (w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89197?\nAnswer: 191, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 2, -0.10547, 3, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 346. Let f = y + 445. Let u = f - 188.000079. What is u rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0946174 hours in minutes?\nAnswer: 5.677044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 10*r)*(-8*r - 11*r + 29*r)*(-r - 44*r + 19*r).\nAnswer: -2600*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 1 + -5 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-3 - -2) + (-1212 - -1237)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 1237 - 1139 = 0. Let z = -1 + -1. Is f less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35519 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 3. Suppose 4*b - 240 = -r, -h*b + 5*r = 7*r - 180. Suppose -3*q = 3*s - b, 4*s - 37 = 2*s + q. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66429.62um in kilometers?\nAnswer: 0.00006642962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuaaauu. Give prob of sequence aa.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 105*b + 167. Determine a(-56).\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -122. Suppose j + 34 = 10*b. Solve b*t - 11 + 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {f: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((199200\/624)\/(-83))\/(1\/26)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835918?\nAnswer: 2, 417959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = f - 684. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -613 less than -612?\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: What is the square root of 1152 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4840 (c) -4 (d) 1 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 - 6 = 0. Let i(a) = 23*a**2 - 2*a - 1. Suppose -642 = -8*b - 570. What is the remainder when i(r) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49 + -a953?\nAnswer: -a90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -411*i**3 + i**2 + 2*i. Let w be y(2). What is w rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -7 + 10*f - 1\/2*f**2. Determine b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880.8 plus -1?\nAnswer: -881.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-486)\/14)*(-3 - 4). Let n = 286 - k. Calculate the highest common factor of 54 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1)\/(-5 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2141905647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*y - 130*y - 186. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 4*y + 2. Let u be a(4). What is h in 7*h**u - 11*h**3 + 14*h**3 + 21*h + 8*h**2 + 9 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 divided by -110?\nAnswer: -203\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 9 = 38*j. Let g = -76 + 72. Sort g, j, 40, -1 in decreasing order.\nAnswer: 40, -1, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000599224994 to five decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t - 25. Let n be q(-13). Let c = n - -181. Calculate the highest common divisor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z - 5. Suppose 6*v = 4*v - 12. What are the prime factors of t(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-6)\/16). Let y = 1.3933 + -7.9723. Let m = 1.579 + y. Which is the smallest value? (a) -1\/5 (b) n (c) 0.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*s + 44. Let f(b) = -16*b - 3. Is f(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58 - 31097*a**3 - 71 + a**4 + 31318*a**3 - 122 with respect to a.\nAnswer: 4*a**3 + 663*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 13*t**2 + 62*t + 33. Is g(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 - 16*l**2\/7 + 88*l\/7 - 96\/7.\nAnswer: -2*(l - 2)**2*(l + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/21 + 220\/35. Suppose 2*r + r = -v. Let y = -3 - 2. Which is the nearest to -1? (a) 5 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10120, -7826, -5532, -3238, -944?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1\/(21*-3)). Let t(z) = 2*z**2 + 40*z - 52. Let q be t(-22). Suppose d = -3*u + q + m, u + 91 = d. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171159830526.026 - 171152759667.6659967. Let v = 7070859 - r. Let z = -0.64 + v. Round z to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277503814 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4158*g**2 + 104*g - 371. Is m(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1102 + 1234. Calculate the highest common factor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k - 724. What is j(43)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 10*a + 2. Give c(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)*k*k**7)**(2\/5)\/(((k\/(k\/((k**(-4)*k)\/k)))\/k*k**0)\/((((k\/(k\/(k*k**(-2)*k))*k)\/k)\/k)\/(k*k**(-1\/4)))) assuming k is positive.\nAnswer: k**(179\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22043?\nAnswer: 7, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 6*h + 5*h - h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = -k - 8, -3*r + 7 = 2*k. Suppose -4*a + 360 = -k*o, -a + 0*a + 2*o = -90. Calculate the highest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306 a factor of 25052466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*h**4 + 13*h**3 - 573 with respect to h.\nAnswer: -52*h**3 + 39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 - 5*w - 5. Let r be i(-4). Suppose -r - 15 = -5*s. List the prime factors of s*(42\/9 - 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxxiihixxh. Give prob of picking 1 x, 1 i, and 2 h.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 103, 147, 197, 259?\n\"Answer: n**3 - 6*n**2 + 55*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -14*z + 39. What is f(-6)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 443*m + 1537. Let s be b(151). Solve -s*d - 104 - 85 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 910 divided by 2\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 125 = -26*b. Let h = b - 19. Let f(o) = -2*o + 14 + 8*o - h - 5*o. Determine f(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9050*f*h**4 - 2*f*h**3 + 134*f + 3 wrt h?\nAnswer: -36200*f*h**3 - 6*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89927 - 112927 = -460*d for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/39641 and 76\/441.\nAnswer: 356769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(12\/5)*u*u)\/(u**(1\/5)*u)*u**(-2\/5)*(u\/((((u*u**(-1\/7))\/u*u)\/u)\/u))\/u)**(-2\/69))**(-13) assuming u is positive.\nAnswer: u**(4498\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1258*u - 5041. Calculate n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.44 + 4.44. Which is the third smallest value? (a) -0.5 (b) -3.12 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/467318, 2, 4 in descending order.\nAnswer: 4, 2, 1\/467318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 2*d - 18)*(2*d - 7*d + 3*d) as x + v*d**2 + u*d and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 3 - (-39 + 37)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -4099441877?\nAnswer: -4099441877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-74.7127.\nAnswer: -14.94254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -826, 1.03, 2\/3, -0.4, -250 in descending order.\nAnswer: 1.03, 2\/3, -0.4, -250, -826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 3*o**2 + 4*o - 5. Let q be j(-4). Let b(h) = -362*h**3 + 7*h**2 + 4*h - 5. Let p be b(q). Round p to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y**3 + 5586 - 63*y**3 + 156*y**2 - 1743*y + 33*y**3 + 4*y**3 = 0 for y.\nAnswer: 7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 71*b**2 + 2*b - 3. Let m be s(1). Let u be 0 + 3 - m\/(-14). Is 8 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 14 = 3*m. Suppose 4*b = -w - 28, -w - 15 = 3*b + 12. What is the smallest common multiple of ((-5)\/2)\/5*w and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*28146\/((-35)\/(-14)*3).\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4061, 8117, 12175, 16235, 20297, 24361, 28427?\nAnswer: 32495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - 9. Let j = -17 - i. Let t be j\/(-6) + 6\/(-9). Is -0.04 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1790 and 4439558?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -77. What is the remainder when 64 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 513*g**2\/4 + 10325*g + 32136.\nAnswer: (g - 412)*(g - 104)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjrdrddsrzjrvrj. Give prob of sequence rjjs.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aybr when four letters picked without replacement from {y: 3, s: 1, b: 1, a: 1, r: 11, f: 2}?\nAnswer: 11\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275745071 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 19*r**6\/30 - 3*r**4 - 649*r**2\/2 - 8*r - 219. Differentiate m(z) wrt z.\nAnswer: 76*z**3 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1361.3115s to minutes.\nAnswer: 22.688525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 14) in base 11?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-135) + (-19)\/(-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-5))\/(-16*(-10)\/320)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6314, 389, 4, 2 in increasing order.\nAnswer: -6314, 2, 4, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 25. Suppose 3*h + 4*t + 2 = -2, 0 = h + 3*t + m. Suppose 4*x + 0*r - 4758 = -2*r, 4*x - 4760 = -h*r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7111 is divided by 1357?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -f + 9, -4*m + m = 4*f + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/25)\/((-24)\/15 + 2). Let b = 10 - 16. Let i be (2\/b)\/((-2)\/(-12)). Sort i, u, -5 in descending order.\nAnswer: u, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-5 - -1 - -4). Let m(o) = -2*o + 2. Let u(z) = -z. Let n(i) = v*u(i) + m(i). Give n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -135*i**3 + 90714*i**2 + 3545487*i + 157398 = 0?\nAnswer: -37, -2\/45, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*x - 3*k - 184, -k = -4*x - 179. Let y = -86574\/7 - -12413. Let f = x + y. Which is the biggest value? (a) f (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3. Let g be o(1). Suppose 13 = g*d - 26. Let y = 169776 - 169769. Solve -y = 5*i + d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28878366 + -2?\nAnswer: -28878368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxg when three letters picked without replacement from nrxydydydngxxxd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096315 to the power of 1\/2, to the nearest integer?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**6\/120 - 2*u**5\/15 + u**4\/3 - 11*u**3\/6 + 9*u**2. Let k be y(-9). Let m be k\/4 + (-105)\/10. Is m less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 66 = -3*y - 3*d, 2*y - 4*d - 60 = 0. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - 0.07. Let s = -0.6 + n. Round s to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.31339 and -0.1.\nAnswer: -2.031339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -701, 5\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430994 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -501 + 491 - (-33 - 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w - 90 = 0. Let v = 658 + -1277\/2. Let p = w + v. What is the third biggest value in -5, p, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 3*a - 27, 0 = 3*a - 2*c - 25. Let j(x) = -4*x**2 + 5*x**2 - 2*x**2 + 2*x + a - 4. Determine j(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102533 is divided by 142.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -54*w - 227. What is the nearest to 1.2 in 0.1, -11, w, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-2 + 7)*(-6)\/10. Calculate the remainder when 5\/(5\/358)*(-14 + x) is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 5. Let w be n(-2). Let m be w + 5\/10*0. Solve -u - 16 = m*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5527621, 11055246, 16582871, 22110496?\nAnswer: 27638121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6c (base 16) to base 14\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + bc207?\nAnswer: bc20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 7, a - 2*k = 11 - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 797992527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d + 1. Suppose 2*p = 44 - 232. Let i = p - -93. Calculate y(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*z + 274*z - 30 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -6. Let g = 257 - 259. Put 0, s, g in descending order.\nAnswer: s, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5821 - 2757. Suppose 597 + m = 7*v. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(187)*1)\/(-2*5*sqrt(11))*1.\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2 + 2*u + 6. List the prime factors of p(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172623, 172311, 171783, 171033, 170055, 168843?\nAnswer: 167391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1616 - 1617. Let z = -46 + 41.3. Which is the third smallest value? (a) 2\/11 (b) z (c) x (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from mmmpmobp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3*(-6)\/(-9) - 2*-4 and 100 - 0\/(0 - -1).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -13674, -27347, -41020?\nAnswer: -54693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:10 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 3890474?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from iziiiiizzzziz.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/19)\/n)\/n**(-11))**(9\/4) assuming n is positive.\nAnswer: n**(873\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrrq when four letters picked without replacement from {d: 1, r: 2, i: 1, j: 1, q: 1, f: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681, -685, -683, -669, -637, -581?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + t = 264 - 38, -4*t - 446 = -2*x. Calculate the highest common factor of 100 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/3 - 970*g**4\/3 + 79184*g**3\/3 - 282392*g**2 + 813120*g = 0?\nAnswer: 0, 6, 88, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 - 291 = 7*r. Suppose -r*s - 9*o + 4098 = -4*o, -2*s + 4*o = -2036. Calculate the greatest common factor of s and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 8*o - 7. Suppose 30 = -4*z - z. Calculate k(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 - 2995*z**4 + 2142126*z**3 + 151772940*z**2 + 294953400*z = 0. Calculate z.\nAnswer: -63, -2, 0, 1530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:19 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 3, 9, -503 in decreasing order.\nAnswer: 17, 9, 3, -4, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 84*v**4 - 5*v**3 + 338*v**2 - 10*v + 5. Let o(u) = u**4 + u**3 + u**2 + 2*u - 1. Let l(h) = -k(h) - 5*o(h). Find the third derivative of l(q) wrt q.\nAnswer: -2136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/22 - 6\/33. Suppose -3*b + r + 59 = 0, -n*b - 2*r + 31 = -r. Suppose 0*i + b = 2*i. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385306 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.1 + -1.1. Let x = 79144 + -79131.0036. Let o = x - y. Round o to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + -4.5. Let c be 17\/(-5) - 2\/(-5). What is the second biggest value in k, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 19 + (-50 + (8 - -15) - 17)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3111 - 1896. Let d = -1214.999997474 + f. What is d rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94318 times -2681\nAnswer: -252866558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -2. Let c(s) = s**3 - 9*s**2 + s - 9. Let x be c(o). Suppose 5*a + 5 = -2*d, -a - d = -x*d - 2. Is -5 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7848 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -31.1. Let s be (4\/12)\/(-3 + 2). Which is the closest to s? (a) 2 (b) -6\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlugwgwftfwgffwwf. What is prob of sequence ff?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-6) - (2 + 10\/(-3)). Put -4, 1, r, -15 in decreasing order.\nAnswer: 1, -4, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-741)\/1092 + (-6)\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69097182 by 149561.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let v(q) = -8*q. Let h(d) = -55*d. Suppose -3*n + 12 = 4*r, -4*n = 5*r - 5 - 11. Let a(f) = n*h(f) - 30*v(f). Calculate c(a(t)).\nAnswer: 400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268960, -268957, -268952, -268945, -268936?\nAnswer: -268925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000041174 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 2*b + b + 0*b + 12. Let o be d(-6). Solve -4*n + 4*a - 20 = o, 0*a + 2*a = 5*n + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*v, 4*f + 9*v - 10*v - 5 - 2 = -7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 1236*l + 6105.\nAnswer: 3*(l - 407)*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, q: 2, k: 4, v: 1}. What is prob of picking 1 v, 1 k, and 1 q?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0 (b) 19\/9 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-15))\/(-4) + 1913551\/220. Let o = v + -8699. Calculate the common denominator of o and -69\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j\/j**(-2))**(-20) assuming j is positive.\nAnswer: j**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f = -3*u + 4563, -f + 5*u = -1551. Let h = -914 + f. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 172949963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/(10 - 8))\/((189\/28)\/(-9)). Determine k, given that h + 8*k**2 - 30*k - 2\/3*k**3 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**(-7\/3)\/(m**(1\/4))**(-15\/2)*(m*m*((m\/m**(-1\/3))\/m)\/m*m*m)**(-13\/5)*m**(-9)*m**1 assuming m is positive.\nAnswer: m**(-341\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54.670189 and -28076.\nAnswer: -28130.670189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = 3. Let a = p + -6. List the prime factors of (-3393)\/(-36) + 1\/(-4)*a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 891173, 891178, 891183, 891188?\n\"Answer: 5*i + 891168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102878521.\nAnswer: 19, 191, 28349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 556*o + 19354. Determine g(-34).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 741 or 744?\nAnswer: 741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*l + 70, 0*h - 2*l + 58 = -5*h. Let u be (-16)\/h*75\/6. Suppose g - 4*n = 22, u = -3*n - n. Solve p - g = 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/12 + 7*u**4\/8 + 4*u**2 - 10*u. Let z(j) be the first derivative of x(j). What is the second derivative of z(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:31 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 348486789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 28*b - 340. Calculate c(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 2*h + 12. Suppose -m - 3 + 5 = -5*v, 3*m = 2*v + 6. Let r be j(v). Let p(n) = -n**3 + 13*n**2 - 10*n - 6. Is 12 a factor of p(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**5\/30 - 5*z**3\/3 + 1067*z**2 - 2*z. Give t(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 107*p - 1047. What is j(-14)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 4. Let w = z + 1. Suppose 4*c - w*c = 5400. Round c to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185\/181377 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 27, 36, 4 in descending order.\nAnswer: 36, 27, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1837, 1844, 1855, 1870, 1889, 1912?\n\"Answer: 2*h**2 + h + 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 6*x - 5. What is the tens digit of j(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-3))\/(-4)*6. Let d be (-14)\/(5\/(15\/w)). Calculate the common denominator of 484\/(-14) - (-9)\/d and -49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1050)\/(-3850))\/(3\/(297\/3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2 + (-4 - 2 + 3)*(9 - 6 + 3))*(-4 - 2 + 7 + (0 - 1 + 4)*(4 + 3 - 3))*(-x + x + x) to the form s + z*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 47225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 62440*p - 39*p**2 - 201*p**2 + 10 - 62438*p in the form k*p + m + i*p**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -2*b**3\/3 + b**2 + 10. Factor f(p).\nAnswer: -2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/((-9)\/10) - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 177*h**3 + 7*h**2 - 7*h - 91. Let t(r) = 173*r**3 + 6*r**2 - 6*r - 92. Let x(d) = 7*t(d) - 6*z(d). What is the first derivative of x(q) wrt q?\nAnswer: 447*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17687779.\nAnswer: 17687779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + -32 - -52?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 533, 1051, 1569, 2087?\n\"Answer: 518*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -267692.78 less than 214?\nAnswer: 267906.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 39.3 * 1.41204\nAnswer: 55.493172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1688 = 4*l - 0*l. Let m = 1102 - l. What is m rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32147\/(-305) - (68 + -175)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 214*s + 2447. Let n be w(-94). Let k(h) be the second derivative of 0 - 6*h + 0*h**2 - 25\/6*h**n. Let u(r) = 3*r. What is u(k(l))?\nAnswer: -75*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 45*l - 30. Let f be w(2). Suppose -9*k + f = k. Calculate the highest common divisor of k and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 291.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**2 + 7191*v - 29448. Give r(715).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -44. Let q(r) be the second derivative of -3*r**3\/2 + 11*r**2\/2 + 42*r. What is the remainder when a is divided by q(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404.7629l to millilitres.\nAnswer: 404762.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/20 + 19*o**4\/8 + 10*o**3 - 265*o**2. Factor g(c).\nAnswer: -3*(c - 20)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*w + 92*w = -16. Solve 3*z - 4*a + 12 = 0, -z - 4*z - 12 = -w*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011110110200200 + -20?\nAnswer: 1011110110200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190.6 - -191. What is the nearest to -36 in i, 2, 6\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/215*405\/(-162)*1\/5.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230*n**2 - 230*n**2 - 24*n**4)*(2 + 2 - 5)*(-2*n - 3*n + 6*n).\nAnswer: 24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 y, and 1 s when four letters picked without replacement from {y: 2, n: 4, s: 3, h: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -93\/20 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 27. Let f be 1 + w*(1 - -5) + -3. Solve 2*j + 2*b - 4 = b, 2*b - f = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-624)\/168)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-220\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 153 = x + o, 4*o = 3*x - 144. Suppose -5*h + x + 33 = 0. Suppose -v + 3*m + 28 = v, -4 = -2*m. Calculate the highest common factor of v and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -22. Suppose -w = -3*t - 5*a, -a = -3*t + 2*a. Solve 0 = o + 1, t*h + 5*o + 2 = -15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/15 - 49*i**2. Let h(n) be the second derivative of -n + 0 + 0*n**2 + 0*n**3 + 11\/12*n**4. Determine h(g(a)).\nAnswer: 176*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (1 + -6 + 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (0 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41796*w - 41791*w - 40 = k, -5*w = 5*k + 80 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720089541.\nAnswer: 241, 7137301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5007 = 8*w - 569. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*b + 119. Suppose -131 = -11*s + b. Solve -4*j = s - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 419255312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 + 0.5. Let w = g + 6. What is the second biggest value in -3\/8, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 less than -380\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/60 + 7*l**4\/24 + 5*l**3\/6 + 10*l**2. What is the remainder when w(7) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14346909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 31. Suppose -10*k**2 + 5*k**4 + q - 124 + 58 + 5*k**3 = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/150)\/((-2)\/(-12*5)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30613 + 0.3?\nAnswer: 30613.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 (base 4) in base 8?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 1079469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(20*9\/((-36)\/(-1))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(4\/5)*((y**3*y)\/y)\/y*(y\/y**0)**6)**41)**(-38\/7) assuming y is positive.\nAnswer: y**(-63878\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103221 is divided by 279?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8058764*x = 8058765*x - 4*h + 100, -36 = -3*x - 2*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3144\/8)\/((-2)\/(-2))*(-227)\/681\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.0248.\nAnswer: 0.0992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 + 6545343*j**2 - 6545340*j = 0. What is j?\nAnswer: 0, 1, 2181780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -2051.\nAnswer: -2051, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1827\/(-155820) + 172\/4558.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 10 - 2*t + (9*t - 3 + 3)*(2 + 0 - 1) + (0 - 2 + 0)*(-2*t - 5*t + 5*t) as n + o*t and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3762317 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 3, 1\/29, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106990569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 5)\/((-6)\/(-12)). Let l(y) = y**3 + 14*y**2 - 33*y - 14. Let x be l(p). Solve v = -x*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3001 is divided by 690.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -30*v + 1083. Calculate the greatest common divisor of 209 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.5 - 23.2. Let m = -0.2999934 + w. Round m to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*g**3 + 102 - 102 + (1 - 1 + g)*(-2*g + 2*g + 6*g**2) - 15 + g**3 + 15 + 4*g**2 + g**3 - 6*g**3 + 2*g**3.\nAnswer: -26*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 185765.5 to the nearest 100.\nAnswer: 185800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3086866 (base 10) to base 7.\nAnswer: 35144416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 121 = -21*u + 119. Calculate the remainder when 944 is divided by u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 31*s - 196. Give w(8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84284 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -41*21320.923\nAnswer: -874157.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*n - 79*n + 419*n - 85*n - 77*n - 99*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 8.\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/120 + 25*r**4\/24 - 17*r**3\/4 + 550*r**2 + r. Find o, given that h(o) = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 1, q: 3}. Give prob of picking 1 q and 1 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - ((2 - -9) + 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 0*f)*((-1444*f**2 + 632*f**3 + 1444*f**2 + (1 + f**2 - 1)*(-2*f + f + 2*f))*(-9 + 2*f + 9) + f**4 + 5 - 5).\nAnswer: -2534*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12670*w - w**2 + 5*w**2 - 2531*w.\nAnswer: 4*w**2 + 10139*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**2\/x)\/x)**(-41)\/(x**12\/(x*x**(1\/5))) assuming x is positive.\nAnswer: x**(-259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30200 + 10?\nAnswer: 30210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 178229993 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 2\/19, -796\/189, -14?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-8)\/12*9\/(-42)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (130\/12)\/(1292\/(-12)). Let h = n - -7\/34. Factor -h*s + 2\/19*s**2 - 12\/19.\nAnswer: 2*(s - 3)*(s + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -17*t**3 + 2*t. Let c(n) = -68*n**3 + 9*n. Give -2*c(u) + 9*f(u).\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 4*l**4 + 2*l**4 - 2*l**4 - l**4 + l**4 + (2*l + 2*l - 3*l)*(0*l**3 - 4*l**3 + 2*l**3) to g*l**4 + i + m*l**3 + b*l**2 + o*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u + 0*u - 65 + 69 + 3*u to w*u + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7718 + 7722. Factor 2\/5*b**f - 4*b**3 + 0 + 0*b**2 + 0*b.\nAnswer: 2*b**3*(b - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34929913.\nAnswer: 251, 317, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 48*a. Let v(g) = -13*g**2 - 120*g. Let p(w) = 5*q(w) + 2*v(w). Let b(h) = 11*h**2 + 0*h**2 + 4*h**2. Determine p(b(r)).\nAnswer: -225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o\/(o*o**(6\/11)*o*o))**(-45)*(o**21\/o)**21 assuming o is positive.\nAnswer: o**(4395\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j + 26*j + 61*j + (-5*j + 0*j + 4*j)*(-6 - 6 + 1) + 10*j - 23 + 23 to n + g*j and give g.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198 + 200. Let 10 - 1046*u**2 - 3*u - s*u + 991*u**2 + 50*u**3 = 0. What is u?\nAnswer: -2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - -0.3. Let d = 531 + -530.534. Let y = -0.066 + d. Sort y, -0.4, -0.01, z in decreasing order.\nAnswer: y, -0.01, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 151*t**7\/7 + 233*t**3\/3 - 235. What is the third derivative of p(f) wrt f?\nAnswer: 18120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431.5242 litres to millilitres.\nAnswer: 431524.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(9)\/sqrt(12).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-273))\/(1446\/241)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 424 + -423.6. Let z = 0.59 - 0.09. What is the third smallest value in z, u, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1121?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-60)*-30*(-5)\/10. Put -2, 11, o in descending order.\nAnswer: o, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-1 + sqrt(114) - sqrt(114))*6 + sqrt(114))\/(sqrt(24)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331*c + 301*c - 656*c)*(8 + 18 - 7).\nAnswer: -456*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -61?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*y - 129 = 7*y, 2*y - 109 = -3*w. Let q = w + -44. Suppose -4*p + 0 - 4 = 0. Put q, 3, p in decreasing order.\nAnswer: 3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-243)\/405)\/((-6)\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1 (b) -4 (c) -8 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.2, 5, 0, 0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 3:25 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 29128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -897? (a) -1\/3 (b) -0.5 (c) 3\/5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 187 (b) -9 (c) 0.7 (d) -0.4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 6*j**2 + 4*j + 2. Let v = -12 + 17. Let i be w(v). List the prime factors of (3\/i)\/((-1)\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from rvvjjjrvvlr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 154233907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by 14.\nAnswer: -107\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -2.69865.\nAnswer: -2.29865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 60. Put y, 0.2, -0.3, 4 in ascending order.\nAnswer: -0.3, 0.2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2457008006.\nAnswer: 2, 29, 42362207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 1456066370?\nAnswer: -1456066369.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 198 (b) -2\/5 (c) 2209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 77168*x**3 - x**2 + 6742190*x wrt x?\nAnswer: 20*x**3 - 463008*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 24, 28, 32?\n\"Answer: 4*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12122288*b**2 + 16372974*b wrt b?\nAnswer: 24244576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 5*s + s)*((0 - 1 + 3)*(0*s**2 + s**2 + 0*s**2) + 5*s - 5*s + s**2).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c + u - 6, 2*c = 2*u + 2. Let t = c + 0. Suppose 0 = t*h + 3*g - 21, -5*g + 0 + 29 = 4*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15677694287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 270866*g**3*t + 18*g**2 - 261900*t with respect to g.\nAnswer: 812598*g**2*t + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 - -132 - (-6 + 2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*w + 280*w + 314*w + 296*w.\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -331129*-51\nAnswer: 16887579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15462 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.218233 + -0.305956.\nAnswer: 41.912277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a. Let b(w) = -20*w + 2*w + 7*w + 14*w. What is b(j(n))?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4467176 and 2?\nAnswer: 8934352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3850 = 3*m - 14*m. Calculate the highest common factor of m and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4\/3 - 14706576*w**3 - 54070844410944*w**2 - 66266415226143597312*w.\nAnswer: -4*w*(w + 3676644)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 + 792156*v**2 + 39104728416*v - 11367524723776 = 0. Calculate v.\nAnswer: -99164, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8412434310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 6*v**2 - 10*v - 10. Let a(g) = -g**2 + 5*g + 47. Let f be a(10). Let j be l(f). Solve -j*i + 12 = -17*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 19 (b) 5 (c) 0.05 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2) + -2) + -1 + ((sqrt(42)\/sqrt(3))\/sqrt(7) - (sqrt(18) + 1)))**2.\nAnswer: -72*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 57 - i + 0*i - i + 44 + 11.\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 3*w**2 - 10*w + 7. What is the units digit of m(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.8. Suppose 3*i - 4*g + 10 = 0, 3*g - 2 - 20 = -5*i. Let t be (3\/i)\/(45\/(-150)). Put b, t, -1\/6 in increasing order.\nAnswer: t, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*s + 1140 + 346*s - 2282 + 1141.\nAnswer: 423*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - r**2 + 4*r**2)*(-2*r**2 + 0 + 0) + 5*r**4 - 2*r**4 - 4*r**4 + 2*r**4 + 0*r**4 - r**4 - 3*r**3.\nAnswer: -6*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1978ba - -59?\nAnswer: -197861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -931835\/143 at most -6517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18109\/30872 + -3\/1816. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-6))\/(4\/6). Let f = 3 + k. Suppose -r - 1 = i, -i - 3*r = -3*i + f. Solve i*y - 7*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:29 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 37655 = 33978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/24 - 3*q**5\/20 - q**2. Find the third derivative of o(h) wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/482589 and -52\/127581.\nAnswer: 11099547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*p**2)*(-25 + 10*p**2 + 25) - 19*p**4 + 40*p**4 - 216*p**4 - 2*p to the form z*p**4 + w*p**3 + r + j*p + n*p**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.936 - 0.064. Which is the closest to -1? (a) 2\/21 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.35. Let i = 0.04 + u. Sort -0.2, i, -1 in decreasing order.\nAnswer: i, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23333 is divided by 83?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 13*k + 7. What is z(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -93 + 0 + -7 - -34 - 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 522 and 0.1.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56434897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**7\/21 - 2*r**3\/3 + 8*r. What is the second derivative of o(m) wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3403.875 months to years.\nAnswer: 283.65625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x. Let a(q) = 124991*q - 754*q**2 - 124991*q - 1264*q**2 - 1088*q**2. What is r(a(d))?\nAnswer: 9318*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 26447.88311 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52444?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9331*x**2 + 9332*x**2 - 238*x**3 - 18663*x**2 - 751*x**3.\nAnswer: -989*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edfdjaaof. What is prob of sequence ao?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*t - 1431*t + 2 - 2.\nAnswer: -1070*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 43. Calculate i(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 62. Let k be (15\/(-3) - 0)*2. Calculate the remainder when l(k) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 5*r + 21. What is the first derivative of 10*d**3 + 0 - 1 + 15 + r wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + n - 7, -3 = -4*n + n. Let -1\/9*j**d + 4\/9*j - 1\/3 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 2*a - 767. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:32 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.110285 to three dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {q: 1, c: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9988, 3, 9\/1235, -0.2, 5 in descending order.\nAnswer: 5, 3, 9\/1235, -0.2, -2, -9988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z + 15 = -5*q, q + 42 = 3*z. Let c be 6\/z + (-144)\/(-15). Is c greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1107138*x**2. Let y(h) = -2*h. Give y(r(i)).\nAnswer: 2214276*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p**2 - 4*p - 4. Let q(c) be the first derivative of -2*c**3 - 3*c**2\/2 - 3*c + 46. Let u = -4 - -7. What is u*y(j) - 4*q(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.27 - 0.44. Let n = s - 0.03. Let u be 2 + 3\/(-2) + 1. Which is the third smallest value? (a) u (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Let a = -3 + r. Let k be a - 3 - -3*1. Solve k = f + f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04005 - -0.042. What is c rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 5*x**2 - 2*x - 2. Let t be d(-5). Suppose 148 - t = n. Suppose 3*i - n = -2*i. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-47.93182\nAnswer: -48.23182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 5. Let g(b) = -b - 2. Let c(a) = -8*g(a) + 3*z(a). Let t(s) = -s + 1. Calculate 2*c(h) - 3*t(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 411841014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 15*j + 1659. Determine n(-16).\nAnswer: 1419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4432547563 + 4432545293.044853. Let o = 2115.9551539 + p. Let n = 154 + o. What is n rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - sqrt(209)*2)\/sqrt(11) - (sqrt(19) + sqrt(57)\/sqrt(3))*-3)**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 7*u - 9. Let f be n(7). Let k be 204\/54 + 0 - 2\/f. Solve 0*m + m - k = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/6)\/(1\/(-2)). Let f(q) = 13*q - 16. Let i(t) = -3*t + 4. Let c(m) = 2*f(m) + 9*i(m). Give c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*j + 4*d - 5*d, 3*j - 48 = 3*d. Let i be j\/(((-25)\/10)\/(-1)). What is the greatest common factor of i and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) -1\/5 (d) -0.65 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 - 2*i - 2. Let j = 12 + -16. List the prime factors of p(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.012.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 170.877 and -3?\nAnswer: 173.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 13 (b) 4 (c) 7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/4 + 3 + 5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36384, -36413, -36442?\nAnswer: -36471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3322123213 (base 4) in base 15?\nAnswer: -153de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = 4. Suppose z + k = 2*c, -7 = -4*c - 23. Let h be (-45)\/z*(-8)\/(-10). Solve -l = h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586405846.2 rounded to the nearest 1000000?\nAnswer: 586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0472 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - 2*sqrt(425)*-2 - -6*((sqrt(425) - sqrt(425)*-1) + sqrt(425)))**2.\nAnswer: 224825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7+42.8\nAnswer: 35.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 3. Let s be b(11). Let h(x) = x**2 + 8*x. Let f be h(s). Solve 0 = -4*p - f + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 36*p**2 - 38*p + 37. Let a be z(37). Suppose 8*x - 1393 - 11551 = a. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwkkhhhkikkkkhhk. Give prob of picking 1 k and 1 c.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 1\/3*l**3 + 0*l**2 - 6*l + 0. Let d(o) = -12*o. What is w(d(z))?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -36. Is 17 a factor of 93*1 - (x + -21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2.4, -1, 2\/211, -489 in descending order.\nAnswer: 2, 2\/211, -1, -2.4, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 7*y**2 - 5*y - 3. Let a(x) = -x**3 + 4*x**2 + 7*x - 4. Let u be a(5). What is g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 103*((-105)\/95 + 6\/57). Let f(j) = j**3 + j**2 + j + 250. Let h be f(0). Let y = w + h. Calculate the remainder when y is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11125939*b**2*r**4 - 50*b**2*r - 2*b**2 + 2*b*r**5 - 4*b*r**2 - 3*b*r - 11*b - 27 wrt r?\nAnswer: -267022536*b**2*r + 120*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122831.701 - 123112. Let f = a - -280. Let m = 0.418 + f. Round m to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 77. Which is bigger: g or -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let h(g) = -5*g + 2. Let p(q) = 6*a(q) + h(q). What is p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -589*q**2*y**3 - 18036*q**2 - q*y - 2*y wrt y.\nAnswer: -1767*q**2*y**2 - q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111668877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 5. Suppose 496 = 101*c - 9. Determine z(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -13*p**3 - 4*p**2 - 4*p + 9. Let q(i) = -2*i**3 - 1. Let t(o) = 3*d(o) - 21*q(o). Let t(f) = 0. Calculate f.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37, 3\/10, 0.7648, -1?\nAnswer: 0.7648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5160*z**4 - 7*z**2 - 2*z + 73027.\nAnswer: 20640*z**3 - 14*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4\/3 - 214*h**3\/3 = 0?\nAnswer: 0, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j. Suppose 0 = 4*o - 3*o - 2. Let s(r) = -7 - 1 - r - o*r**2 + 3*r**2 + 2. What is s(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 8. Suppose -4*r + 5*q = -1 - 3, 5*q = 5*r - a. Let s be r\/(-3 + (-244)\/(-80)). Solve 5*j - 5*o = 7 + 8, -4*j = 4*o - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k = 46*k + 116748. Let i = k + -13855. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/15)\/((m\/m**(-6\/7))\/m) assuming m is positive.\nAnswer: m**(-104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 71 = -4*r. Let q be 10\/(-15) - r\/(-9). Differentiate -5 - 1 + 10*a - 2 - q*a wrt a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8120225 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 13. Let m be h(-9). Let r = m + -7. Let j(d) = -d**3 - 3*d**2 + 3*d + 2. What is j(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 47*g - 42*g + 365, 0 = 3*h + g - 1047. What is the least common multiple of 80 and h?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 82.5. Let d = 3.936 + -0.016. Let w = -0.08 - d. Sort w, 0.4, z.\nAnswer: w, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 13*q**2 - 8*q + 4. Let f be u(12). Suppose -f = -4*o + 28. Solve 4*l + o = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a + 87*a - 2 - 52 = -5*x + 132, -4*x + 258 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1728 and 13\/8448.\nAnswer: 76032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15609 - 757 = 2*y, 2*z = -y + 8177. Suppose 874 - z = -8*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8554 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 71, 1?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 2*a + 9. Calculate y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 0*g)*(-3 + 0 + 5 + (-1 + 1 + 1)*(-4 + 2 + 4) - 2 + 1 + 2 + 4 + 2 - 5).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106, -108, -110, -112, -114?\n\"Answer: -2*n - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 at least 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*o**3*y**2 - 4*o**3*y - 9*o**2*y - 3*o*y**2 wrt y?\nAnswer: 62*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + ((-150)\/(-9))\/(28\/6). Let m = -79 + 393\/5. Which is the third biggest value? (a) q (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:22 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.8 (b) -3\/7 (c) 1 (d) 0.02 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 - 0.14. Let m = 0.19003 - w. What is m rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 3*k**2 + 45*k - 29. What is g(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/18)\/(71\/(-426)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-5 - 51) - 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 11}. What is prob of picking 2 e?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -3\/2 (c) -6 (d) 2 (e) -795 (f) -2 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 - 151. Suppose 9*l + 3*o = 5*l + 204, -5*l + 4*o + 224 = 0. Calculate the greatest common factor of p and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 + 95*n + 78. What is the tens digit of y(32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8 - 8*y**4 + 0*y**4 - 3 - 2 wrt y?\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 - 2*p**2 - 2*p + 2. Let f(k) = 15*k**3 + 9*k**2 + 9*k - 9. What is 9*a(h) + 2*f(h)?\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -561350?\nAnswer: 561345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -57 (b) 2.5 (c) 1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 35*j**3 + 6*j**2 - 17*j + 17. Let m(n) = -6*n**3 - n**2 + 3*n - 3. Give 34*m(g) + 6*x(g).\nAnswer: 6*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*u)*(1 - 3 - 1 + (3 - 3 - 1)*(2 - 3 + 3)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 - (-1 + ((-3)\/3 - -4)). Suppose 0 = -2*m + s - 8. Solve m*h + 9 = -0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 15. Let k = 12 - q. Suppose -4*m + m = -9. Solve k*x + m = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 15. Suppose -2*s - 5*q = 5, 4*s + 15*q - 19*q - 4 = 0. What is k(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.398397 and -1?\nAnswer: -1.398397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 9. Let w be f(7). Suppose 4*r + 3*k + w = 1, -17 = -4*r + 3*k. Solve -r*g + 7*g - p + 2 = 0, -g + 3*p = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, h: 6, f: 5, m: 1}. What is prob of sequence ff?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 25*b - 20 = 0. Suppose -5 = -2*d + k, -d + k = -2 - 1. Let i(g) = d*g + 0*g - 4*g**2 + g**3 - 6*g. Give i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/15 - 530\/(-795)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*f + s, -5*f - 3*s + 12 = -127. What is the remainder when 103 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2669, 2908, 3147, 3386, 3625?\nAnswer: 3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Let f be (-3)\/g + -1 - -7. Suppose -5*s - f*t = 20, -s + 11 = -4*t - 0*t. Let q(p) = -2*p - 1. Let l(x) = -x. What is s*q(r) + 4*l(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 119*p**2 + 237*p + 352. Determine h(-117).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -332197, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 26867048?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.259\nAnswer: -1.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2 + 2*d + 2. Let c be r(-1). Suppose 5*y = 4*n + 21, 5*n - 3*y + 5 + c = 0. What is the smallest value in 2\/9, n, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14261156 divided by -14?\nAnswer: 1018654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0*t**2 + 2*t - 2*t**3 + 5*t**2 - t**3 - 6 + 2*t**3. Let l be z(5). Solve -3*b + 5 = l*p, p - 5*b + 14 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.101 + -0.001. Which is the nearest to n? (a) 5 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*s - 144 = 90*s. Calculate the greatest common factor of 84 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*p = -308*p + 25236. What are the prime factors of p?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5\/8, 1.36, 2\/7, -1\/10 in decreasing order.\nAnswer: 1.36, 2\/7, -1\/10, -0.2, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*o + 59*o + 108 = 0. Solve -8*c + o = -5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x + 1. Let a be (72\/(-28))\/(-3)*7. Suppose -l = 4*z - 12, -2*z + 0 + a = l. Suppose 3*h - z*y + 4 - 22 = 0, 5*y + 28 = 4*h. What is d(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44879, -44876, -44873, -44870, -44867, -44864?\nAnswer: -44861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3\/4 (c) 1 (d) -5 (e) 2.455095\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 1. Suppose 4*n - 17 - 11 = 0. Let r(s) = s**2 + 22*s - 70. Let d be r(-25). Let l(y) = 15 - n + 6*y + 0 - d. What is -17*k(z) - 6*l(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**3 - 11*s**2 + s - 151. Is 13 a factor of c(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-3 - -4) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0496, 742, -5, 3, 4\/7, -2\/5, -2\/9?\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 18}. What is prob of picking 2 n?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29947.02s?\nAnswer: 499.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -5.8659.\nAnswer: -211.1724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.7488929 - -4.2181561. Let d = i - 24.36704958. Let v = 1.4 + d. What is v rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6805 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 s be 3*1\/18*11771. Let i = s + -1982. Find the common denominator of 3 - ((-261)\/30 - -1) and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435 divided by -94\nAnswer: 435\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156.241395 - 57.3.\nAnswer: -213.541395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4073, -8157, -12241, -16325, -20409?\nAnswer: -24493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/5 + 5*h**3 - 457*h**2\/5 - 481*h\/5 = 0.\nAnswer: -37, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**2 - 3600*v + 648000 = 0.\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.69 + -0.31. Let k = 10 + a. Let z = k + -5.25. Round z to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = w - 6558, 0 = 4*d - w + 2409 - 7650. Let s = -5329\/4 + d. What is the common denominator of s and -97\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 - -231?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = k - 51, -3*d + 5*k + 14 = -11. Calculate the remainder when d is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 36. Suppose -5*g - 5*t + h = 0, 3*g + 4*t - 10 = 2*t. Suppose g*d - 32 = -2*d. Solve d = 3*z - z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 76. Let m = 93 + y. Let u = m - 3. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -31. Find the third derivative of -17*x**2 + 0*x**5 + 11*x**b - 2*x**5 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317176*u - 634315*u + 317136*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117702250, 235404500, 353106750, 470809000, 588511250?\nAnswer: 706213500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273308.\nAnswer: 2, 3, 106109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 422\/7, 1, -0.4, 4, 0.29, 3?\nAnswer: 422\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -20. Suppose -2*z = 5*x - 62, -13*x + 16*x + 114 = 3*z. Calculate the remainder when z is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20060 (base 11) in base 16?\nAnswer: 72a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 116*q + 1592. Let g be d(-28). Calculate the highest common divisor of 60 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 8. Let r(q) = 5*q + 33. Let l(x) = -9*a(x) - 2*r(x). Let i be l(5). Suppose -i - 2 = m. Let s(t) = -t**2 - 2*t + 4. Determine s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:04 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43514d (base 15) in base 13?\nAnswer: -883687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 27. Let c(p) = 7*p - 6. Let i(j) = 8*j - 7. Calculate s*c(n) + 6*i(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/4*102\/(-3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrn when four letters picked without replacement from rnrrrnnnnnnnnnrnnnr?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 391, 390, 389?\n\"Answer: -c + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 33*n**2 - 4*n. Let u(f) = 3*f. Calculate x(u(v)).\nAnswer: 297*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20232*j**3 - 1 + 1 - 18303*j**3.\nAnswer: 1929*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*r**5 - 8*r**2 + 102*r wrt r.\nAnswer: 400*r**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + b**2 + 3*b + 1. Let t be u(3). Let s be (t + 0)\/(18\/27). Suppose -s = -4*m - 58. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34686 - 3607451\/104. Calculate the common denominator of a and 3\/4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 569251059 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 419?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 675357913 or 675357912?\nAnswer: 675357913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-19 + 4) + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247836307987 - 4.\nAnswer: -247836307991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 11.62, -2, -1\/7, 5, 12\/17 in decreasing order.\nAnswer: 11.62, 6, 5, 12\/17, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13215 (base 7) to base 15.\nAnswer: 10b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 + h. Let o(p) = -p**3 + 9*p**2 - 7*p. Let j be o(8). Let g = j - 9. Determine y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/12*-3*(-8)\/(-176). Which is the fourth smallest value? (a) 1\/8 (b) 5 (c) -1\/5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(33)\/sqrt(3)) + 5)**2.\nAnswer: 10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 + 111*r = 0. What is r?\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -5*g**8\/336 - g**5\/10 - g**2 - 7. Let j(l) be the second derivative of o(l). Find the third derivative of j(h) wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69767369\/26654316 + 1\/436956. Let k = 3\/61 - t. Are 2 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-43)\/(-3) + 2\/(-6). Solve y - 32 + 12 = 5*q, -3*q - a = -y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 divided by 1008189.\nAnswer: -227\/1008189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -7871?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 27. What is r rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/176 and 77\/1392.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is bf7 (base 16) in base 15?\nAnswer: d93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 10*f + 13*f + f + 0*f**5 - 2*f**5 + 0*f**5 + (-f**2 - 3*f**2 + 2*f**2)*(4*f**3 - f**3 - 2*f**3) + 2*f**2 - 2*f**2 - f**5.\nAnswer: -6*f**5 + 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18445, -18437, -18413, -18367, -18293, -18185?\n\"Answer: t**3 + 2*t**2 - 5*t - 18443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0 - 13) + (4 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67*a + 164*a - 546 + 542)*(-4*a**2 + 4*a**2 + 2*a**3) to j*a**2 + u*a + l + r*a**3 + m*a**4 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*r = -1, 4*r - 3 + 0 = 5*u. Let v be 2*(-18)\/(-4) + -2. Let w be 3\/20 + 0\/v. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*z + 347 + 412 - 352 + 511 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + (5 - -2) + -22 + 22\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 435600 to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22825291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (6 - 3) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17017 at most -643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4032830 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4\/4 + 201175*y**3\/4 + 506168660*y**2 + 5557750080*y - 40449254400 = 0 for y.\nAnswer: -20112, -16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, 1.3, -2\/9, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((3\/(-14))\/(-3))\/((-14)\/(-49)). Put 0.2, -105, 5, w in ascending order.\nAnswer: -105, 0.2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 72 - 68 + 140.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) - (-320)\/10. Suppose 5*t + a = 2*a + 30, -t = 5*a - y. Suppose 2*m - i = 0, 2*i - t = -5*m + i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**0)\/(r*r**(2\/13)))\/(((r*r**(-2)*r)\/r*r)\/r**(2\/17)))**(-3) assuming r is positive.\nAnswer: r**(24\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 11*t + 14. Let o be s(-5). Suppose -5*u = -o*u + 4. Sort 29, u, -3 in descending order.\nAnswer: 29, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(((r*(r*r**(-8))\/r*r)\/r)\/r)\/r*r*r)\/r**(-2\/41))\/(r\/r**(-22)*r*r**(-24)) assuming r is positive.\nAnswer: r**(-244\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4613 - 480434980.\nAnswer: -480439593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 6*d - 3*d + d**2 + (4 - 1 - 4)*(-3*d**2 + 2*d**2 + 0*d**2).\nAnswer: 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2461\/32834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 57004 - (1 + 0 + 3). What is h rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - 4) + (-10 + 2 + -14 - -18)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 112*l + 2 - 111*l - 9. Let n be c(9). Suppose 76 = p + s, -n*s + 152 + 78 = 3*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 - 13774*r - 192832\/7.\nAnswer: -(r + 2)*(r + 96416)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.2 + -22.78. Round r to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-3) - -2)*2. Let g be (-65)\/(-5)*(-3 + q). Suppose 5*i + 2*w - 160 = 4*w, -g = -2*i + w. What is the highest common factor of 20 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, a: 5, w: 1}. What is prob of sequence bwa?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31306, -31131, -30956, -30781, -30606?\nAnswer: -30431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469368692.\nAnswer: 2, 13, 773, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 25*t - 34. Let u = 0.05 - -0.95. Which is the nearest to u? (a) -6\/11 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -30*a**3 - 8*a**2 - 25*a - 3. Is o(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c + 15. Let t be i(-3). Sort t, 2\/3, 72, -0.2.\nAnswer: t, -0.2, 2\/3, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 - -234. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 3. Let r(j) = -2346*j**2 + 1407*j + 42. Let v(s) = -14*a(s) - r(s). What is the second derivative of v(d) wrt d?\nAnswer: 4664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14487, 15899, 17311, 18723, 20135, 21547?\n\"Answer: 1412*p + 13075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*(2 - (-576)\/(-3)). Let w = u + -81. Let a(j) = -500001*j**2 - 4*j + 5. Let o be a(w). Round o to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjbs when four letters picked without replacement from {s: 2, j: 4, b: 2, o: 5}?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3276\/1989)\/((-264)\/204)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 6, 2 in decreasing order.\nAnswer: 6, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 57*v**2 + 1014*v + 101. Calculate z(-18).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109721957 - 53321957. Round c to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.5 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2100) - (sqrt(2100) + sqrt(2100) + sqrt(2100)*-2))*-4)\/(sqrt(12)\/sqrt(4)*-6 + 1*sqrt(432)).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence par when three letters picked without replacement from pqraa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 + 2*h**2 - 3*h**2 + (2*h + 1 - 1)*(1 + 1 + 7)*(1 - 1 + 4*h) + 2*h**2 + h**2 - 4*h**2 + (3*h**2 + 2*h**2 - 7*h**2)*(-3 + 6 - 2).\nAnswer: 71*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2*o**(1\/2)*o**1*o\/(o*(o**(-3)\/o)\/o) assuming o is positive.\nAnswer: o**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 29*h. Let g(v) = -2*v**2. What is g(r(k))?\nAnswer: -8*k**4 - 232*k**3 - 1682*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**6 + 4*g**5 + 3*g**3*x**2 + g**2*x**2 - 19*g**2 + g*x**2 wrt g?\nAnswer: -840*g**3 + 240*g**2 + 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2. Let i(k) = k + 3. Let x be 110 + -98 - (0 - -8). Give x*i(c) - 6*j(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m - 2. Let h(q) = -140*q + 21. Determine -21*f(x) - 2*h(x).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18937802.2176659 - -16707336.12666664. Let j = a - -2230486.091. Let w = -20 + j. Round w to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccqccccqqccccccccq. Give prob of sequence qc.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 34. Let i(r) = r**3 - 18*r**2 + 22*r - 25. Let v be i(p). Calculate the highest common divisor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 225*b + 1511. Let u be a(7). Factor u*l**2 - 578*l - 2\/3*l**3 + 9826\/3.\nAnswer: -2*(l - 17)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9705 (base 12) to base 10.\nAnswer: -16565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 381ae6 (base 15) to base 14\nAnswer: 4ddd30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17728385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*t = -350*t + 910 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 96, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1796 and -35\/1704.\nAnswer: 765096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47207941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 246938?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:55 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.1 - 3. Let j = 4 - 5. Let g = w + j. Is 4 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let k(u) be the third derivative of u**5\/4 - u**2. Give k(n(g)).\nAnswer: 15*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6792557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -39501 divided by -19\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -6. Let r = j - 2. Which is the third biggest value? (a) -1\/11 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, 3, 17, -1\/38, -2\/5?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/261 and 62\/105.\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.18, -10\/7, 8, 0.4?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 12 - 114. Suppose 4*y - 32 = -4*l, 2*l - 4*y - 1 + 3 = 0. Suppose 3*x + l*f = 121, -118 = -2*x - f - z. What is x rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by -113.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose 11 - 7 = t. Calculate the highest common factor of t and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -7, -296700 in descending order.\nAnswer: 1, 0, -7, -296700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1506, 1508, 1510, 1512, 1514?\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.049 + 51.951. Let a = p + -54.7. Let c = 2.6895 + a. Round c to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8133 divided by -3\nAnswer: -2711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 223 - 2*t**2 - 110 - 113. Let m(z) = -z - 2*z + 2*z. Give b(m(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1093 - 1066 - (2 + 53).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-3)*(0 - 15\/10). Let y be -7 + (-5 + u - -8). Let p = 12.5 - 12. Which is the fourth smallest value? (a) p (b) -5 (c) y (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + 0*(-1 + 2). Sort 3, p, -2\/3, 58 in ascending order.\nAnswer: -2\/3, p, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q + 5*q + 14*q - 7*q**2 + 4*q**2 + 4*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 = 3. Suppose i*x + 4*d + 24 = 4, -3*d = -5*x - 20. Let c(z) = z**2 + 10*z + 12. Let h be c(-9). Put h, 2, x in increasing order.\nAnswer: x, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10657*k**3 + 28*k**2 - 28*k + 3271. Let h(w) = -2132*w**3 + 6*w**2 - 6*w + 654. Let c(d) = -14*h(d) + 3*i(d). Differentiate c(x) with respect to x.\nAnswer: -6369*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 519\/5. Let p = 0.45 + -31.45. Let h = -30.9 - p. Which is the nearest to w? (a) -2\/9 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*z**2 + z**2 + 4*z**2 + (-1 + 1 - z)*(4*z - 2*z - z))*(3*z - z + 4*z) to y + g*z**2 + p*z**3 + r*z and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + (-66)\/4)\/((-3)\/17). Let m be ((-2)\/(-4)*0)\/(-1). What is w in -d*w**4 - 11\/2*w**2 - 21\/2*w**3 + m - 5\/2*w**5 - w = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*y + 0*y = 15, 0 = -5*i - y - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (993 - 36\/(-3)) + -13?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/sqrt(12) + sqrt(3) - 4*sqrt(3)*1) + (4 + sqrt(75)*-2 - (1*sqrt(75) + 3)))**2*-1.\nAnswer: -676 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3226218, 3226216, 3226214, 3226212, 3226210?\nAnswer: 3226208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 6*g**2 - 5*g - 2. Let k(v) = -3*v**3 - 19*v**2 + 16*v + 7. Let q(r) = 6*k(r) + 19*s(r). Give q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1291583 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = 0. Suppose -199*u = -216*u + 306. Suppose a = -0*s + 3*s - u. Let q(x) = x - 1. Determine q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 + 12*b**2 - b + 1. Let c(r) = -359*r**3 + 59*r**2 - 3*r + 9. Determine c(o) - 5*w(o).\nAnswer: -369*o**3 - o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 20 + 23*z**2 - 11*z**2.\nAnswer: 12*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/(-8) + (-106)\/(-16) and ((-2)\/(-4))\/((-1)\/39).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 6*l + 9. Let q be v(-7). Let k = 3 - 3. Let p(y) = -2*y**q + k*y**2 - y + y**3 + y**2. Calculate p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -12. Suppose 220 = 5*g - 125. Suppose -2*r + g = r. Calculate the remainder when r is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 645 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4963382l?\nAnswer: 496.3382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26484*g*y**2 + 46091*y**2 wrt g?\nAnswer: -26484*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 11*l**3\/2 + 5*l**2\/2 - l.\nAnswer: l*(l + 1)*(l + 2)*(4*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 1\/3*l**4 - 4*l**2 + 2\/3*l**3 - 5\/3 + 14\/3*l = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6171331.\nAnswer: 6171331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1551765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/9)\/(f*f\/(f**(-9)*f)) assuming f is positive.\nAnswer: f**(-89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 22099.919 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*u + 25, -u + 5 = -0*u. Let i(a) = 2*a**3 - 3*a + 3. Let x be i(0). Solve 3 = -x*t - n*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, 1 m, and 1 f when four letters picked without replacement from {f: 1, x: 3, u: 2, c: 5, j: 1, m: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0001 - -1990395239.\nAnswer: 1990395238.9999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -3*m. Let i be ((-32)\/28 + 2)\/(m\/7). Solve g + 2*o = 3*g - 12, -3*o = i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -10. Let j = 3 + -7. Let p = 9 - j. Solve 5*k - l = p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*y + 6, -i = -9*y + 6*y + 2. Let f be (1 + y)\/(0 + (-1)\/(-2)). Let s(x) = x - 17 + 3*x**2 + 19 - 4*x**f. What is s(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/3 - m - 6. Let d(r) = 25*r**2. Give g(d(a)).\nAnswer: 2500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 122220102011 (base 3) to base 16\nAnswer: 56098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*n = 0, -n - 2*n = 4*u. Suppose -k - 3*k + 88 = u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 4\/5, -246?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 405 + -2.7.\nAnswer: 402.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 3*q. Let n(f) = -3*f - 21. Let i be n(-6). Let z be m(i). Solve z*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.1 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/68*(-10)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143724*-0.0227.\nAnswer: 3262.5348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 3*r + 5. Let d be (256 - 266)*((1 - -1) + 25\/(-10)). Let k(t) = -t + 1. Determine d*k(a) - l(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/285 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1338991.654 or 0?\nAnswer: 1338991.654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 133810, 133812, 133814, 133816, 133818, 133820?\n\"Answer: 2*o + 133808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38.45114 and 48578810.\nAnswer: 48578771.54886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001293419382 rounded to 6 decimal places?\nAnswer: 0.001293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 10:58 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2159120 divided by -215912?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 2 c when four letters picked without replacement from ujcntjttuucjtlt.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 8:09 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 305995528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*p - 1974 = -102. Let l(m) = m**3 + 10*m**2 + 5*m - 12. Give l(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 7. Let o(f) = f**2 - 4*f + 3. Let s be o(3). Let g be j(s). Let i(r) = r**3 + 8*r**2 + 5*r - 7. What is the units digit of i(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1)\/((-2)\/(-8)). Let z be (p\/(-12))\/((-2)\/(-12)). Suppose 5*s = 10, -5*m - 4*s + 47 - 14 = 0. Put m, z, -4 in decreasing order.\nAnswer: m, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 5*j - 20, 1993*j = -b + 1994*j + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2*sqrt(1872) + 1) + -4*-1*sqrt(1872)*-3 + -2 + 1)*-5)**2.\nAnswer: -4800*sqrt(13) + 2995225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)*h*h*h\/(h\/h**(5\/7))*(h*h*h**(-13))\/(h*h**21) assuming h is positive.\nAnswer: h**(-233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 6. Let a be u(5). Suppose 4*w + 5*k - 37 = 0, -4*w - 2*k = -5*k + 3. Is a\/w - 428\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -122233?\nAnswer: 122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/28 of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 - n**2 - 6*n - 4. Give o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -321.9169 and 33?\nAnswer: -10623.2577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/28))**5*g*g\/(g\/(g*g\/(g**(-9)\/g)*g))*g*g*g**(-2\/3) assuming g is positive.\nAnswer: g**(1303\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 27*h**3 - h**2 - 7*h - 5. Let c(j) = 53*j**3 - 2*j**2 - 15*j - 11. Let p(u) = -6*c(u) + 13*g(u). List the prime factors of p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:02 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(18\/11)*w*w**6\/w*w**(-1\/2))\/(w**(-4)*w\/(w*w**(-3)*w))**(-4\/3) assuming w is positive.\nAnswer: w**(295\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t + 47 + 15 = -208 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 2, o: 1, z: 1, g: 2, c: 1}. What is prob of picking 1 g and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1956\/15)\/((-6)\/15)*(-314)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (59 - -1)\/(-4) + 4. Is (-2)\/m + (-603)\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + 35888\/(-192). Let n = -592\/3 - f. What is the common denominator of n and ((-31)\/4)\/((-99)\/(-132))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m**3 - 67*m**3 - 66*m**3 + 183*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 2 + 6*r - 9*r + 0. Suppose 0 = -2*k - 3*h + 3, -2*k = -6*k - h + 21. Let m(i) = i**2 - 7*i + 6. Let y be m(k). Give t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.2 times 0.02?\nAnswer: 10.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -783 or -768?\nAnswer: -783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(33\/9 - 4). Let w be (t + -6)\/((-2)\/10). Solve -4*j = -3 + w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 17 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - (5 + -2 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:03 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 66 + 30 = 0. Suppose o*m + 422 = l - 2*m, -l - 5*m + 372 = 0. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-14)\/(22\/(-4) - -3) - 5). Let b(u) be the first derivative of 11\/16*u**4 + 3\/20*u**s - 1\/2*u**2 + 0*u + 4 + 2\/3*u**3. Factor b(d).\nAnswer: d*(d + 2)**2*(3*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-385)\/(-28) + (-2)\/(-8). Calculate the greatest common divisor of 35 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25603 + 32193. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(637) + 1*sqrt(637) + -1)**2 + (3 + -1*sqrt(637))**2 - (-3*(sqrt(637) + 0) - 2*(-1 + sqrt(637))**2)).\nAnswer: -77*sqrt(13) + 4469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 24a7a4?\nAnswer: 24a7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 619716 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98c207 (base 15) to base 14.\nAnswer: d7727a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 5, l: 2, b: 7}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {e: 4, d: 1, r: 1, w: 1, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 - 4.12. Let w = 6 + -9. Let p = w - -3.2. Which is the nearest to 1? (a) p (b) -5\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-5*sqrt(6)\/sqrt(2)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 = 3. Solve 0 = -b*c - 5 - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-45)*(-1660)\/(-4). Is y not equal to 918\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -381 + 472. What is the remainder when o is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/2 + 206*w**3 - 17031*w**2\/2 - 80066*w - 71344 = 0. Calculate w.\nAnswer: -7, -1, 56, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 2*a. Let p(m) = -m**3 + 11*m**2 + 8*m**2 + 19 + 19 - 31. Calculate the least common multiple of a and p(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.2 - -30.706. What is p rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**3 + 6*y**2 - 6*y - 6. Let s(q) = 45*q**3 - 25*q**2 + 25*q + 25. Let i = -495 - -489. Determine i*s(k) - 25*n(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212572923?\nAnswer: 3, 23, 557, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**3*p)\/p*p*p*p\/(p*p**(-1)\/p)*(p\/(p*p**(2\/15)))**(-8\/11) assuming p is positive.\nAnswer: p**(346\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1539) + sqrt(1539) + 0)*-2)**2*6 - (((2*(sqrt(1539) + 0))**2 - (sqrt(1539) - 5*(sqrt(1539)*-2 + sqrt(1539) + sqrt(1539))**2)) + -1).\nAnswer: 9*sqrt(19) + 1323541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 - 99*r\/4 + 101\/2.\nAnswer: -(r - 2)*(r + 101)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - ((-11 - -1) + 11 - (3 - 0)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 14630?\nAnswer: 351120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 19. Let f be (u\/(-30))\/((-1)\/4). Suppose f*y - 45 - 81 = 0. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, -36, -181, -468, -945, -1660, -2661?\n\"Answer: -8*c**3 + c**2 + 2*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 11 - 1 = 0. Let l be -5 - j - (-2 - 6). Solve 0 = 2*s - 1 - l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19821, -35501, -51179, -66855?\nAnswer: -82529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - t + 23 = -67, 4*b + 180 = 5*t. Calculate the common denominator of 41\/(-16) - 2\/2 and (-4 - b\/10) + 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3614984847 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkfh when four letters picked without replacement from {h: 5, f: 7, k: 1}.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l - y + 17, l - 3*y + 1 = 0. Suppose 0 = -l*k - 5 + 35. Let i(d) = d**2 - 5*d - 3. Give i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2692 and 22?\nAnswer: 29612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-15) - 17017\/(-165) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 4*c**2 - 3*c**2 + (-2*c - 2 + 2)*(4*c - c - 5*c))*(-7*c + 7*c - 4*c**2).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7462*p**3 - p**2 + 12*p - 13. Let o be j(-9). What is o rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 4*w. Let f be v(3). Let m = f - -7. Calculate the remainder when (m\/12)\/((-8)\/468) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2. Let q(i) = i**2 + 2. Let s(f) = f**2 + 0*f**2 - 5 - 5*f**2 - 4. Let t = -6 + 8. Let a(d) = t*s(d) + 9*q(d). Calculate g(a(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 148733\nAnswer: 3\/148733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = -x - 12, -o = -3*x - 5*o - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(468) + 1*(sqrt(468) + -2)) + -2 + ((-2 + sqrt(13))*3 - sqrt(13) - (sqrt(13) + 2 + 2))).\nAnswer: -294*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6 = 18152*k - 18153*k, 5*k + 3*w = 30 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*((-182)\/(-39))\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = -5*a + 3, 0 = 4*a + 4. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -80\nAnswer: -9\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67 + 81 + 2*o + 12 + (0 + 0 + o)*(-1 + 3 + 2) + (-4 + 6 + 0)*(-2*o + 0 + 0) + o + 4 - 4 + 2*o - 2*o + 2*o.\nAnswer: 5*o + 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -72 - 72. Let a(u) = -u**3 + 9*u**2 - 9*u + 13. Let x be a(q). Solve 2*z = x*f + 3*z + 3, -5*f = -3*z + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/64)\/(1330\/(-1197)*30\/16)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9608 by -3.\nAnswer: 9608\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 0.586.\nAnswer: -5.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -507*d + 22819. What is y(45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2742 - -2772. Let h be ((-4)\/(-3))\/(2\/60). Calculate the highest common factor of h and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 15 = -6*w - 47*z, 2*w - z = 3*z + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 1. Let z = -13 + 15. Does 11 divide o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:14 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25217850 to the power of 1\/2, to the nearest integer?\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/11 - 70*u**2\/11 - 196*u\/11 - 128\/11.\nAnswer: -2*(u + 1)*(u + 2)*(u + 32)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*m - 2, -2*t - m = -3*m - 6. Suppose -4*c = -g - 5 - 2, -t*g - 3*c + 48 = 0. Solve -2*o - 1 - g = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2042 + 10?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 = -3*b, 0 = 5*b - 2*b - 4*d - 9. Suppose 0 = -b*k - 0 + 6. Suppose -k*m = -m - 21. What is the remainder when 61 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -9. Let v = h - -25. Let k = v + -7. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3)\/((-26)\/273). Suppose 0 = 3*z, -z = -6*q + q + h. Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + (-7)\/(-2). Suppose -2*k - 2*b + 34 - 12 = 0, -2*b = -g*k + 32. Suppose -4*q - 1 = -k. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -10) + -1 + (-5 - -2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 170. What is the units digit of 6\/h - 322\/2*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 3\/2, -2\/3, -0.13, -37213, -1?\nAnswer: -37213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2193419034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79505 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -353*h + 8760. Calculate y(25).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1562 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -49, -0.3, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150492 is divided by 518?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 3. Suppose -3*r + b = 2*r. Let t be (r + -2)\/((-1)\/(-4)). Is -3 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-24)*-4 + -1. What is the nearest to j in 5, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45614176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165402 by 1.\nAnswer: 165402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1316*g**2 - 1 - 3*g**3 + 2*g**3 + 1308*g**2 + 2*g - 2. What is v(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 5) to base 8\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1256 or -1262?\nAnswer: -1262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = 4*b + 20, -4*b - 5*y - 4853 = -4871 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 172757434 to the power of 1\/2, to the nearest integer?\nAnswer: 13144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 12*a**2 - 2*a - 21. Let q be y(-13). Calculate the greatest common divisor of 464 and q.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 47*n**2 - 2*n + 15. Let v be t(-6). Suppose -3*f + v = -0*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165 - -173) + (2 - (-1 + -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/112 and -15\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -321310300 (base 4) to base 5\nAnswer: -30034343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8450343 a multiple of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 112319 to the nearest 1000.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 23*w**2 + 1. Let h be o(-23). Which is the closest to h? (a) 2 (b) 1.7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -7 (b) 72 (c) 3 (d) 2\/5 (e) -0.1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 66. Solve -2*x = -h*x + 5*r - 28, r = -4*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let k(b) be the second derivative of -7*b**3\/6 + 3*b**2\/2 - 2*b. Suppose 0 = -3*h + 4 - 1. Let p(l) = h*k(l) - 6*o(l). What is p(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13731 - -13735. Solve -7*v - 4*h = 52, 12 - 34 = p*v + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1533926509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -31, -68, -125, -208, -323, -476, -673?\n\"Answer: -a**3 - a**2 - 13*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4a2 (base 12) to base 13\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*x = -1285 - 164. Solve 2*m = -x + 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2417435\/6 - 404717. Let w = n - -1793. Find the common denominator of 90\/416 + 4\/(-26) and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0 (b) -5 (c) -0.4 (d) -461 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 6:21 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -503 + 1006. Let i = w + -408. What is the smallest common multiple of 10 and i?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 43 = -73 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -0.3 (c) -5 (d) 6 (e) 1\/3 (f) 0.601\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2681978 microseconds?\nAnswer: 268.1978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 5.1. Let z = 12.5 + -17. Let b = z - -4. What is the nearest to 1 in d, -2\/15, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 22 (c) -2 (d) 5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.07 - 1.0698792. Round r to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882315 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}