diff --git "a/data/dm_maths/full_data_2/11088_11255.jsonl" "b/data/dm_maths/full_data_2/11088_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11088_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third root of 34293 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215 - -207. Let i = 5.12 - 0.12. Which is the closest to -0.1? (a) i (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -402 + 434. Solve 9*w + 23 - z = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.08 + -18.8. Let d = y - 21.5. Let l = d - -1.5. Round l to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7232138?\nAnswer: 2, 3616069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19761047 or 19761045?\nAnswer: 19761045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 4835 - 4835 + 7*f. Suppose j + 0*o - 2*o = 12, 0 = -o - 3. Let z(r) = -r. Let d = -1 + 2. Give d*i(l) + j*z(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15889?\nAnswer: 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/55 + 44\/10. Let f be (47\/4)\/(c\/16). Let s = 67 - f. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22551, 22632, 22799, 23052, 23391, 23816, 24327?\nAnswer: 24924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**4 - 13*t**3 + 10*t**2 + t - 5. Let i(g) = -3*g**4 + 6*g**3 - 5*g**2 + 2. Let m(p) = -10*i(p) - 4*n(p). Factor m(h).\nAnswer: 2*h*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820*w + 4*w**4 - 10*w**2 + w**3 + 824*w - w**5 + 8 - 2*w**3 = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 - 232*m**3 + 224*m**2 + 232*m - 228 = 0?\nAnswer: -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t + 98 = -44*t. Suppose -375 = -t*a + 9*a. Let v = 90 - a. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65616 (base 10) to base 6.\nAnswer: 1223440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/((-317)\/(-47550))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.078852 millennia in months?\nAnswer: 72946.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -0.9, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -98.8? (a) 2 (b) 5 (c) 6 (d) 9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/5 - 176*t**3\/5 + 537*t**2\/5 - 4*t\/5 - 716\/5 = 0. What is t?\nAnswer: -179, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*1\/2 + -50. Let o = a - -53. Suppose -f + 13 = o. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 2*u**2 + 133*u + 2089357. Is a(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.096 - -0.94. Let l = 0.036 - w. Let p = 0.0309 + -1.0309. Which is the closest to p? (a) -0.1 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*m - 37, -2*m - 11 = -4*a - 25. Let r be 0 - 1\/(-1) - -2. Put a, 0, r in descending order.\nAnswer: r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67862*j**3 - 18*j**2 - 2*j + 170 wrt j.\nAnswer: -407172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-1*sqrt(5)) + 1*sqrt(17)*2 - (-2*sqrt(272) + 1 - (-1 + sqrt(272))*1)**2) + -4.\nAnswer: -2456 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 - 10470090*z - 31410261 = 0.\nAnswer: -10470087, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 234396*s - 5390574. What is b(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -5*i**2 + 0 - 11\/3*i**3 + 12*i. Differentiate c(z) with respect to z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3 - 1 + 2*f**2 + 4*f + f**3 - 2*f**3. Let x be l(3). Let b = -6 - x. Let r(w) = w**2 + 4*w - 4. Determine r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15\/(y**25\/y))\/(((y\/(y\/y**(5\/2)))\/y)\/y*y*(y**(-18)*y)\/y) assuming y is positive.\nAnswer: y**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 122. Let t be 2 + (42\/(-8))\/3. Which is the closest to -4? (a) 3\/2 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w**2 + w - 3. Let v(t) = -t**2 - 1. Let y(k) = 2*v(k) - x(k). Give y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c = -58*c - x + 23, -5*x - 21 = 2*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 219912737 divided by -219912737?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*k - 2*k. What is the least common multiple of k and (3\/4)\/(6352\/(-5760) + 20\/18)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -199, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60084 and 0.5.\nAnswer: 30042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*o + 480 = 2*d + 513*o, -5*o + 1170 = 5*d. Solve 71*z - d = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -122, -147, -166, -179, -186, -187?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5 - 189*j**4 - 2082*j**3 - 7722*j**2 - 11745*j - 5913 = 0. What is j?\nAnswer: -3, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*q - 3*q + 23, -2*s - 1 = -5*q. Let m = s + 14. Let g be 26\/7 - 4\/(-14). What is the highest common divisor of g and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3267 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13332712 - 5?\nAnswer: -13332717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -2607.\nAnswer: 7\/2607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 196. What is g(-23)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*c + 5472 = -1345, -5*s + 6814 = -3*c. What are the prime factors of s?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + 0*w**4 + w**4 + (-2*w**3 - w**2 + w**2)*(w + w - 3*w) - 2*w**4 + 0*w**2 + 0*w**2 - 1888*w**2 - 10*w**3 + 4*w**4 + 1898*w**2 + 13*w**3.\nAnswer: 5*w**4 + 3*w**3 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 165363851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -18 in ascending order.\nAnswer: -18, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389777 is divided by 463255?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1591136.3 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.07794 and 0.2.\nAnswer: -0.415588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2839485 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 20*n + 3. Let z be c(-4). Is (-502110)\/(-27) + (-5)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -11*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 171, 1351, 4549, 10773, 21031, 36331?\n\"Answer: 168*z**3 + z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3110, 3094, 3068, 3032?\nAnswer: 2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 + -3. Let h = 0.3 + p. Let x = 28 + -25. Which is the biggest value? (a) -2 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 380*d**2 - 2*d - 3. What are the prime factors of o(-3)?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-14)*k))**(-21)\/(k\/k**(3\/10))**(-4))**(2\/9) assuming k is positive.\nAnswer: k**(-2912\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -110692*a. Let k(i) = -i**2. Determine x(k(j)).\nAnswer: 110692*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -2801 = -2799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 88. Let v = -37 - k. Let j(i) = 49*i - 58*i + v*i. Let q(c) = 2*c**2. Give q(j(o)).\nAnswer: 968*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 607790357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 - -208. What is the tens digit of 23466*10\/600 - n\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/1277 and -39\/2.\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a factor of 801559410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 3, -71, -5, 2, -4 in increasing order.\nAnswer: -118, -71, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -13)*-1 + (-792)\/50 + 4.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66*r**3 - 6 + 80*r**3 - 140*r**3)*(4 + 290*r - 143*r - 133*r) to k*r + l*r**3 + x*r**4 + q*r**2 + s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43768 and 14136?\nAnswer: 77338056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 5*r, -2*b + 4 = -0. What is r rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 34*z - 577. Calculate y(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + -123)\/(-13) + (1 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 28. Let b = 29 + m. Suppose 0 = 4*u - 23 - b. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 4*y + 3 + 0*y**3 - 3\/4*y**4 + 0*y**2. What is the derivative of b(x) wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223391 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 2, -0.5, -0.3, -5 in decreasing order.\nAnswer: 68, 2, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -3*m + 4*z - 11, 0 = -5*m + z + 550. Calculate the smallest common multiple of 33 and m.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 13 - 5 = 0. Let r(i) = i**2 + 8*i**2 - 16*i**2 + 5*i**o. Let w(g) = -8*g. Give w(r(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/(-1372))\/((-10)\/60*-6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4 - 923268*k**3 - 213115182436*k**2 - 4262026672320*k - 21309671737600 = 0.\nAnswer: -461624, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3)*7)\/(108003\/(-834)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24936*-1\nAnswer: 24936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 5*a**2 - 4*a + 1. Let t be h(-3). Let o = -1 + t. Let u = -4 - o. Let l(i) = -5*i**2 + 3*i - 2. Calculate l(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.07 + 4.6.\nAnswer: -37.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20180*m - 17037 wrt m?\nAnswer: 20180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 + 10*v - 3. Let g be f(-4). Find the third derivative of 13*i**5 - g*i**5 - 15*i**2 - 5*i**2 wrt i.\nAnswer: -1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206980492*0.5.\nAnswer: 103490246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132911002?\nAnswer: 2, 7, 29, 467, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = -47*h + 10*h - 450 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243123?\nAnswer: 7, 177589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/(-6) - 5)\/(2\/(-2247)). Let d = 167 - 1843. Let r = d - v. What is the common denominator of -139\/90 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50601 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.5 + 51. Let t = z + 1.5. Let p be 8\/36 + -2 + 2. Sort p, -4, t.\nAnswer: -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/143585 and -41\/1410?\nAnswer: 861510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 7*q - 1. Let y be n(-5). Let m(t) = -4*t - 9. Let i be m(y). Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + 1122512433?\nAnswer: 1122512410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 10:53 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2979285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*s = 23, -4*i - 32*s - 52 = -28*s for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402 + 407. Let v = 1 - 5. Which is the biggest value? (a) 5\/4 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170504547 and 23041155.\nAnswer: 852522735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 125 = 11*y. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140450\/371 - ((-3)\/(-7))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 9. Calculate the remainder when z(-10) is divided by (-32)\/20*(-5 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264857 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1995134 divided by 1995134.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 + g. Let z be k(3). Suppose -3*f + 23 = 4*c, 0 = -z*f + 3*c - 4*c + 8. Sort 4, f, 5, -13 in descending order.\nAnswer: 5, 4, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 417*t - 195*t - 225*t - 731*t - 542*t as d + r*t and give r.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*z + 8 - 6, -5*l + 3*z = -7. Suppose 2*d + i - 2765 = 0, -2*d - l*d + 5510 = -2*i. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:56 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*c = 20, 15 = 12103*p - 12106*p - 6*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9295, 2, 214.\nAnswer: 2, 214, 9295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -863 - -40555\/47. Let v = k + 206\/141. Sort -2\/13, 0.2, v in descending order.\nAnswer: v, 0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Let y(n) be the first derivative of -n**2\/2 + 5*n - 5986. Let o(g) = -g + 4. Let v be (-2)\/(2*(-1)\/(-2)). Calculate v*y(c) + z*o(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21714810503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110859893.\nAnswer: 113, 981061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - z + 31 = -5, 0 = 3*o - z - 28. Calculate the greatest common divisor of o and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9064.9 - 9065. Which is greater: 25.52 or m?\nAnswer: 25.52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46697507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34563617.\nAnswer: 11, 743, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 + ((-1225)\/(-5))\/7 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5861 a factor of 1078999099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * 0.04\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 0.143?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)\/p**(-8))\/((p\/(p*p**(-2\/17)))\/(p**(1\/3)*p)))**20 assuming p is positive.\nAnswer: p**(9740\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422048401?\nAnswer: 1019, 414179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/36)\/((-2)\/30). Solve -w*t + 15 = -5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33276*c - 110399 + 110399 + 33271*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 64563?\nAnswer: 64563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 2, x: 1, u: 1, b: 1, j: 2}. Give prob of picking 1 o and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(6)\/sqrt(32) + 5.\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*t + 40, 3*g - 56 = 2*t + 3*t. Calculate the greatest common divisor of 132 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2. Let c(b) be the third derivative of 0 + 39*b**2 + 0*b**3 - 5\/24*b**4 + 0*b. Calculate c(a(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a decade in months?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9905300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -9.9, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/((14 + -20)\/18)*(-1980)\/264\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 3, f: 2, a: 6, w: 2, s: 2}. Give prob of sequence faxa.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:54 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 6:40 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87913*j*t**2 - 3*j*t - 20*j + t**2 - 55980419*t + 1 wrt j.\nAnswer: -87913*t**2 - 3*t - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*h = 26, 16*w - 13*w - 5*h = 36. Let f = 2.02 + -0.02. Is f < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(132) - (sqrt(132) - 2*sqrt(132)*-1))\/(6*-5*2*sqrt(12)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2687*y + 9485*y - 4446*y.\nAnswer: 2352*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 9*l - 15. Let r = -26 - -20. Let o be v(r). Suppose -281 + 11 = -4*i + 2*n, -o*i + n = -200. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*h + 77 = 0, -3*h + 117 - 78 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.5, 1\/5, -4, -476, -0.706?\nAnswer: -0.706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2) + -1 - (-160 + 151). Let g = 11 - o. Solve 0 = 2*y - g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -290, -3, -5, -1, 14.\nAnswer: -290, -5, -3, -2, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = -3*o + 8*o, -3*o = 3*q + 3. Let a be (8\/(-6))\/((-3)\/9). Suppose a*t + t + 2*z - 14 = 0, 0 = -t + z. Solve -10 = -t*d, -d = -q*j - 3*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 - (-20 + (42 + -13 - 8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.0301 and 2.\nAnswer: -2.0301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.058 (b) -329 (c) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 6. Let t(c) = c + 1. Let u be t(s). Suppose u = 4*v + 23. Put 2, -1, v in decreasing order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172 and 10148.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 29680, 23 in descending order.\nAnswer: 29680, 23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 2*z + 1. Let l(w) = -7*w**2 - 18*w - 12. Let d(c) = l(c) + 12*y(c). Let x(o) = -13*o. Calculate d(x(m)).\nAnswer: 4901*m**2 - 78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 0*g + 0*g)*(-54*g + 16*g - g**3 + 21*g) in the form f*g + i + u*g**4 + m*g**3 + n*g**2 and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 2)*(-5*s + 12*s - 15 + 16) + 0*s + 2*s - 4*s + (-1 + 5 - 3)*(s - s - s).\nAnswer: 18*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:19 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 3893 - 11*l - 3893.\nAnswer: -l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncccncccccncccc. Give prob of sequence nccn.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 966.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10225 + -535?\nAnswer: 5250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-66)\/10)\/(3*8\/(-20))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/(-60) - (-2)\/4 and -1 + (2 - 79\/(-12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*x + 439 = 2689 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.291 times -3.69\nAnswer: -1.07379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-12) - -8)*(-558)\/(-2418)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.7 and 107771.5438.\nAnswer: 107756.8438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60062739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4197*x + 3212 = 4124*x for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 7) in base 2?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 0*o - 2*o)*(3 - 2 - 2) + 2*o + 1 - 1 + (-1 + 5 + 0)*(-4*o - 4*o - o) to x*o + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 60, 88, 136, 210, 316?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*i + 473*i = -3*b + 17, 56 = 4*b - 4*i for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*p + p + 12, 3*p + 3 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1050, 1097, 1144, 1191, 1238, 1285?\n\"Answer: 47*h + 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. Let t be l\/4 + 30\/(-4). Let h = -1 - t. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - i. Let d be u(2). Find the second derivative of -d*s**2 + 2*s - 2*s**4 - 2 - 4*s + 3*s**4 wrt s.\nAnswer: 12*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 0.29, 3.4, -10?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 10*h + 18. Calculate x(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56916 and 3578670?\nAnswer: 665632620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 22*s**2 + 161*s - 4089. Determine k(22).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225860 and 27970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/6)\/((-1)\/(-3)). Suppose w + 9 = -4*o. Let m = -3 - o. Solve n - i - 2 = 0, -n = n + m*i + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 50 = -3*p, p = -d - 4*p + 21. Let y be (-28)\/70*(d - 1). Which is the nearest to -0.6? (a) 3\/4 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*j + 5*z, -2*j - 5*z = j - 24. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83615528 - -126515?\nAnswer: 83742043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - 811.573.\nAnswer: -812.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/24 + 20\/(-6). Let f be (y\/(-6))\/(8\/(-60)). Which is the third smallest value? (a) f (b) 0.6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -1293, -1891, -2417, -2877, -3277, -3623?\nAnswer: -3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 10*c + 16. Let a be d(10). Let b = -106 + a. What is the greatest common divisor of 90 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9))**44*(j*j\/j**(8\/5)*j*j*j)\/j**2)**(4\/15) assuming j is positive.\nAnswer: j**(-1508\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*g = 13, 0 = -3*h + 3*g + 32 - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.17. Let g = 2.9 - 2.79. Let s = m - g. Round s to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*s - 494*s - 3608 + 222*s.\nAnswer: 2*s - 3608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -126\nAnswer: 11\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*w - 714*w + 359*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v = 0. Suppose -2*o - 5 - 1 = 0. Let r be (o\/(-36) + v)*2. Which is the closest to 0? (a) 4 (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -953*y + 8672 + 7723 + 10289 = 0. Solve y*w + 239 = -13 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*k + 4 - 19, 35 = -4*m + 3*k. Let y be (-792)\/(-1848) - 38\/56. Which is the nearest to -1? (a) y (b) 1 (c) 0.5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210010 + 1212?\nAnswer: 12211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33936 by 8484.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191170 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 11.4\nAnswer: -10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdk. Give prob of picking 1 d and 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 3*h + 514, 5*m = -h - 160. Let r = -57 - h. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -1)*(-55)\/10. Let a = 21 - h. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189a58 (base 11) to base 8.\nAnswer: -1071147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = -d. Suppose 2*r + 6 = -d*i + 1, -5*r + 4*i = 47. Let q = r + 13. Is 6 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11309*i - 2*g = -11304*i - 15, -3*i = -26*g - 145 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 27*u + 31*u = -616, -2*q + 1232 = 5*u. What is the lowest common multiple of q and 616?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 101. Let z(f) = 107*f**2 + 2. Give v(z(h)).\nAnswer: -214*h**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - (-1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47351157.9999965 - 47351179. Let a = p - -21. What is a rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 + 0 = 11. Let p = -0.1 - 0. What is the nearest to -2 in -3\/8, u, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.24. Round m to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*a + 5*u - 3 = 97*a, -2*u = 4*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*n, 4*p + 2*n + 37 = 7*p. What is the least common multiple of p and 0\/(-10) + (2 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 - 8*c + 20. Let i be s(5). Sort i, 0, -3, 3 in increasing order.\nAnswer: -3, 0, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {r: 10, x: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - 0. Let l = m - 0. What is the third smallest value in l, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 361.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/4231425 and -53\/105.\nAnswer: 29619975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1623.89481444 + -1795.8948191. Let a = -172 - s. Round a to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*k - 245 = -63, -5*n + k = -174. Suppose n*p + 1048 = 38*p. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d. Let v(b) = -3*b - 3. Let p(f) be the second derivative of f**3\/6 + 3*f**2\/2 + 7*f + 2. Let i(l) = p(l) + v(l). What is 8*i(u) + 3*t(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**2 + 58*n - 8. Let u(r) = -12*r**2 + 115*r - 13. Give -7*s(i) + 4*u(i).\nAnswer: i**2 + 54*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/10)\/(938\/84420)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-525)\/(-63)*(-78)\/(-65)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oellbot. Give prob of picking 1 o, 1 t, and 2 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17336 = -517*q + 16143 + 43070 for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 18*t - 14. What is j(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p - 27. List the prime factors of g(-19).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17849 - -8877. Let r = -107563\/12 - b. Let c = 192435\/14 - 13739. Find the common denominator of r and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 224 + 189\/2*f**2 + 248*f. What is the first derivative of b(j) wrt j?\nAnswer: 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 2*i - 55. Let x = 6 + -2. Suppose 0*q + 32 = x*q. Calculate the remainder when t(-7) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by 8653.\nAnswer: -365\/8653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urvqrbvuquyvqr. Give prob of picking 1 q, 1 y, 1 r, and 1 v.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13 + (-872)\/64)*1\/5)\/2.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6) + 30\/45. Let x = -12 - -14. Let d be x\/7 - (-36)\/21. Solve 0 = 3*k - f + n, d*f = 2*k + 3 + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32333132 (base 4) in base 15?\nAnswer: 132db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 - i**2 + 1. Let v be b(-1). Suppose v*u = 8 - 4. What is the closest to 1 in 2\/21, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475 and 855.\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3105143*a**2*v*x - 9*a**2*x - 335*a*v*x + 3*a*v - 5*a - 45*v*x - 13*x - 2 wrt a?\nAnswer: 6210286*v*x - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20009429 - -16.9?\nAnswer: 20009445.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2\/7*h**4 - 10\/7*h**2 + 0 - 12\/7*h**3 + 0*h = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -0.06?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 282362, 564722, 847082?\n\"Answer: 282360*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u. Suppose -8 = b - 4. Let g = 9 + b. Let j be ((-21)\/35)\/(1\/g). What is c(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**3 - 285*h**2 + 7*h - 55. Give n(-26).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 5*v - 4. Let z = 17 - 11. Suppose 4*q - 6*q = -z. Let l be t(q). Which is the biggest value? (a) -1 (b) l (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 230*u - 218*u - 1212. Which is greater: 1110\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 divided by 14?\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 168\/5 (b) -17 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 720537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 34220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 1. Suppose -5*d + 15 = 5*q, 3*q - 3*d = 4 - 19. Let n(t) = -2*t + 2. Suppose 3*j = -52*u + 47*u - 13, -4*u = 5*j + 26. Give q*k(a) + u*n(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.098*-1.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 163381 + 4*f + 163381.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -936888 by 103.\nAnswer: -9096","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 320*k + 14389. Give r(-45).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:01 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, 1, 5 in ascending order.\nAnswer: -15, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 8, -18, 3, -3, -77 in decreasing order.\nAnswer: 8, 3, 1, -3, -4, -18, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -195*(-4 - (-35 - -46)*(-1)\/3). Solve -49 = 8*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -8*b**7\/7 - 25*b**3\/6 - 15*b - 55. Let u(a) be the first derivative of r(a). Find the second derivative of u(w) wrt w.\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101\/5 + -20. Let f = 461401 - 461400. Sort -2, 100, i, f in decreasing order.\nAnswer: 100, f, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 4*f**2 + 9*f - 22. Let o be q(-6). What is the second smallest value in o, -1\/5, -0.05, 5\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7283 - 7288. Which is smaller: w or 4102?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0 + 0)*(2*y + 0 + 0) + 2 - 5 + 2 - y**2.\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 21?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-2)*442\/(-1547). Let k(l) = 4*l + 3. Let p be k(-2). Let o = 21 - 24. Sort 3, o, p, c in increasing order.\nAnswer: p, o, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7) + 180\/28 + 39\/91.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0 + 0 + (-4*c + 5*c - 3*c)*(1 + 1 - 3) + 1 - c - 1 + 2*c - 4*c + 3*c)*(1 + 3 - 3).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 163 and -0.0599733.\nAnswer: -9.7756479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + n**2 - 6*n**4 + 2 + 4*n**3 + 4*n**4 to h*n + a + o*n**4 + t*n**2 + s*n**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*b = 2*c - 6, 0 = -3*b + 3*c - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 times -25094?\nAnswer: -7779.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2316a7 (base 12) to base 9\nAnswer: 1046651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0 - 1 - 2*w + 5 - w**2. Let z be m(-4). Let u = z - -8. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -371124.\nAnswer: -1\/92781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 10. Let f be y(-11). Calculate the common denominator of 21\/2 and -3 + 4 - 363\/f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*d + 9, -5*d + 3*t = -1 - 15. Suppose d*s + b = 2 + 7, -2*s + 2*b - 6 = 0. Let c(v) = 4*v. Let i(n) = -n. Determine s*c(j) + 3*i(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 105*r + 6. Calculate t(-1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 1\/4, -7.5 in increasing order.\nAnswer: -7.5, 1\/4, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyee when four letters picked without replacement from {y: 2, e: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (3*(sqrt(3) - 2*sqrt(6)\/sqrt(2)) + -1 + 4)**2) + 4.\nAnswer: -36*sqrt(3) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/16 + (-4 - (-444)\/(-16)). What is the remainder when 77 is divided by 2\/j - (-21033)\/656?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f + 88*f + 2*r = 18, 4*r = f + 72 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1023 = 5*s + 4*l, 2*s - 270 = 3*l + 130. Let m = 622 - s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7\/165?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*q - 2 = 0, -1 = -33*r + 34*r + q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 93 - 429?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 5, 1\/2453973, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*y**6 + 91*y**5 - 228459*y**2.\nAnswer: 21000*y**3 + 5460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(17) - (-6*sqrt(85))\/sqrt(5)))**2 - sqrt(68)\/(sqrt(36)\/(sqrt(18)\/sqrt(2))).\nAnswer: -71*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6455 - -33105727.\nAnswer: 33099272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -187*c**2 + 756*c - 24. What is o(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.839122 years?\nAnswer: 0.004839122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**7\/42 - x**6\/15 + x**4\/6 - x**3\/6 - x - 3. Let f(v) be the first derivative of j(v). Find z, given that f(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 5*u**3 + 3*u**3 + (0*u - u**3 + 0*u)*(46 + 1 + 43) to y + g*u + n*u**2 + d*u**3 and give d.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 353464728 divided by -124?\nAnswer: -2850522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22*g + 240. Let x(b) = -69*b - 721. Let h(m) = 7*j(m) + 2*x(m). What are the prime factors of h(-5)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 77*v**2 - 1456*v - 188. Calculate u(34).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.046835 millennia to centuries.\nAnswer: 30.46835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 697138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-5)\/k*k)\/k)\/k)\/k*k)\/(k**(-17)*k)*k**(-1\/29)*k\/k**(-8\/9) assuming k is positive.\nAnswer: k**(2833\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 22, 32, 42, 52, 62?\n\"Answer: 10*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q + 6. Let s be x(8). Let m be 2*1*s\/3. Suppose -3*n = 8 - m. Solve -n*r + 3 - 11 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11283098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 23*x - 3*g = -36, -2*g + 14 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 13*s - 9. Let d be k(-5). Let w = 120 + d. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-111)\/(-126) - (-24)\/(-36))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 8. Let p be c(0). Let s(z) = 0*z - 1 + z - p*z. Suppose 36*y + 224 = 22*y, 7*g - 2*y = 2*g + 37. Determine s(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1948, 3554, 5162, 6772, 8384?\n\"Answer: r**2 + 1603*r + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 21 = -3*x + 17, 0 = 4*x - 3*o - 52. Suppose 3*p - 5*p + 6 = 0. Calculate the least common multiple of x and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 685 - 681. Which is the second smallest value? (a) -2\/7 (b) i (c) -1\/3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975 is divided by 125?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q - 61. Let g be h(10). Suppose 0 = -2*c + 2, g*c - 1656 = -5*x + 18*c. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2584926 - 19?\nAnswer: 2584909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 5*m**8\/84 - m**6\/8 + 117*m**5\/10 + m**3\/3 - 2*m**2 + 848*m. Find the third derivative of z(p) wrt p.\nAnswer: 1200*p**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 358 + 717?\nAnswer: a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 1 = -29. Is 2 a factor of (3 + (-11)\/(-2))*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126\/23 or 4?\nAnswer: 126\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**3 - 3*a**2 - 2*a - 2. Calculate k(-2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 1:01 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 55*j - 1. Let r(i) = -i**3 - i**2 + i + 19. What is the remainder when l(1) is divided by r(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**(-19))**9)**(2\/53))**(-14\/11))**5 assuming f is positive.\nAnswer: f**(21420\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from rrlrllrrrrrrrr.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811 bigger than 9812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12*c + 9*c = 91, 5*z + c - 103 = 0. Calculate the highest common factor of 15 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598*f - 1031*f + 1743*f + 1750*f.\nAnswer: 3060*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32027.\nAnswer: 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 19 + 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*f**2 + 242*f**2 + 4689*f**3 - 4687*f**3 in the form d*f**3 + h*f + r + q*f**2 and give q.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 3*d**2 - 2*d**3)*(3 - 1 + 0) + (3*d**3 - 1 + 1)*(1 + 1 + 0).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546854 by -313.\nAnswer: -546854\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12823125.\nAnswer: 3, 5, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-52)\/(-4)*1. Let p = 12 + u. Suppose 3*t - 4 - 5 = p. Solve -2*b + 0*b + 15 = 5*z, -t*b + 6 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:42 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05457447 rounded to 5 dps?\nAnswer: 0.05457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86224291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(171)*2)\/sqrt(9) + -2*(sqrt(19)*3 + 5).\nAnswer: -16*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1843 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 884*d + 11830.\nAnswer: -2*(d - 455)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3270800 and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*b*f**3*g - 314257*b*f**3 - 69*b*f - 128*b*g**2 + 36496*g**2 wrt g.\nAnswer: -12*b*f**3 - 256*b*g + 72992*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/((sqrt(9) - sqrt(18)\/sqrt(8)) + sqrt(9)))\/((sqrt(108) + sqrt(108) + (sqrt(108) - 3*sqrt(108)*1) + sqrt(108))\/sqrt(9)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2143 = -9*x - 9271. Let s = x - -1393. What is the units digit of (2 - s\/2)*4\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 1\/96*q**4 - q**2 + 0 + 1\/240*q**5 + 1\/1440*q**6 + 0*q + 1\/6*q**3. Let s(v) be the first derivative of j(v). Factor s(x).\nAnswer: (x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -132 (b) -2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801118?\nAnswer: 2, 400559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.75 and -2?\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/60 + 159*f**4\/4 - 75843*f**3\/2 - 7256*f**2. Suppose y(r) = 0. What is r?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 0, 97.\nAnswer: 0, 97, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 6617140*y + 6617135.\nAnswer: 5*(y + 1)*(y + 1323427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*z - 380314 = -321318 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*h + 3 = -4, -3*k + h - 37 = 0. Let v = k + 15. Suppose -12*f - 8 + 56 = 0. Solve -v*y + 20 = y, -f*y + 15 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let j(h) be the first derivative of 2\/3*h**3 + z*h - 2 + 0*h**2. Differentiate j(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/3, 2\/119, 2\/21?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 9*q + 12.\nAnswer: -3*(q - 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p - 9. Let k(d) be the third derivative of -d**4\/24 + 2551*d**2. Calculate x(k(f)).\nAnswer: 6*f - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 6:54 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 - (-2)\/1. What is the closest to f in 4, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 1 - 2) + (24 + -37 - -22 - -9).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345 - -1031\/3. Put 0.3, -5, l, 2\/3 in descending order.\nAnswer: 2\/3, 0.3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 7*l**2 + 5*l + 3. Let o be q(-6). Let a = o - -186. Suppose -4*y + 65 = -a. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -35. Suppose -2*c - d*b + b = -72, 0 = 4*c + 2*b - 140. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 567, 2291, 5163, 9177, 14327?\n\"Answer: -r**3 + 580*r**2 - 9*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*w + 644006, -5*z + 3*w - 804991 = 6*w. Round z to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/5 + 3\/5. Let c = -0.17 + -8.83. Let o = c - -9. What is the closest to -0.1 in y, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187324 (base 11) in base 12?\nAnswer: -11a725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 585*b - 586*b, -3*r + 19 = -4*b. Let g(k) = -19*k + 3. Let v(q) = 38*q - 7. Let x(n) = 5*g(n) + 2*v(n). Calculate x(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 11*o**2 + 26*o + 6. What is d(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390208 by -14.\nAnswer: 27872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 2*s + 5. Determine u(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 904 and 2074616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)*p**(2\/9)*(p*p\/(p*p*p\/p**(-4)*p*p))**(1\/2) assuming p is positive.\nAnswer: p**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -227*a + 6057. Let y be p(26). What is the greatest common factor of y and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 + 9 + -9. Let b(x) = 11*x. Determine b(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:21 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215649?\nAnswer: 3, 347, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y - 4. Let m be t(0). What is the units digit of -3 - (4\/m - 42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1350)\/162)\/(135\/(-36))?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - -4. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1172.04428 + 1172. Let m = 8.553 + -8.6. Let n = m - w. Round n to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6746, 6742, 6738, 6734?\nAnswer: 6730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -17*i**3 - i**2. Let z be 1 + (4 - (5 + -2) - 1). Give v(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104434 (base 6) in base 12?\nAnswer: -511a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 12*f - 24. Let q be x(23). Suppose -20*o + 9*o = q. Let u = 780\/11 + o. Which is the biggest value? (a) -2 (b) -0.2 (c) u (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.16 + 0.16. Let z = d + 5.9. Which is the second smallest value? (a) z (b) 0.4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 12) in base 5?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(1*(-1 + 3)). Suppose 0 = r - h*g - 24, 4*g = -5*r + r. Let a be 2*(r\/8 + 2). Sort -2, a, -4 in increasing order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 17*c**2 + 14*c + 22. Let o be v(16). Let i(a) = -2*a - 17. Let m be i(o). What is the greatest common factor of m and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2142 - 2076. Suppose 4*p = -2*r - 30 + 116, 2*r = 5*p - 112. Calculate the highest common factor of n and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 18496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-30) + (-17)\/(-5). Find the third derivative of b**3 + 3*b**m + 0*b**3 - 2*b**3 + b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d9b9 (base 15) to base 5.\nAnswer: -14203244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205257 and 494?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -175, -370, -595, -862, -1183, -1570?\n\"Answer: -2*y**3 - 3*y**2 - 172*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:19 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*52.55\nAnswer: 105.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50735 divided by 1?\nAnswer: 50735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1652361323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54\/5377 + -1846749\/828058. Let y = z - -39\/14. What is the third smallest value in 2\/7, y, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6\/5 (b) 0.3 (c) -1 (d) 172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r + 4*r - 178 + 24*r - 94. Let f be d(15). Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500 = -19*c + 94*c. Suppose 6*p = p - 95. Are c and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4124 + -4121. Let d(s) be the second derivative of 35*s + 155\/72*s**4 - 5\/24*s**5 + 7\/3*s**2 + 0 + 34\/9*s**u. Factor d(r).\nAnswer: -(r - 7)*(5*r + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18878 is divided by 160?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 2*t + 1. Let b be y(-2). Let j = -15 - -28. Let r = 18 - j. Solve r = -2*g + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6 (b) -2227 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 564475394*m**4 - 911333314*m wrt m.\nAnswer: 6773704728*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 262 + -282. Which is smaller: r or -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3*171\/6. Let t = -20 + s. Calculate the remainder when 53 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38769 (base 11) to base 8.\nAnswer: 154305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:45 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, 1207, 3732, 7537?\n\"Answer: 640*d**2 - 675*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 696 + 682 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -5)\/((-2)\/(-18)*-3). Factor -24*n**2 - n**3 + 6*n**4 - 12*n + 3*n**5 - n**3 - 2*n**t - 5*n**3.\nAnswer: 3*n*(n - 2)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 11*t + 4. Let g(r) = 2*r**2 + 12*r + 3. Let j(n) = 4*g(n) - 3*x(n). What is the second derivative of j(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {f: 5, m: 4, t: 5, b: 5, n: 1}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c - 13. Let t(x) = 157*x - 326*x + 6 + 164*x. Give -6*l(j) - 13*t(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-35))\/(90\/28)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 19*z - 11*z - 2*z - 3 - 8*z - 6*z**2. Let f(o) = -o**2 - 15*o**2 - 3*o + 5*o**2 + 1 - 6. Calculate 3*f(b) - 5*k(b).\nAnswer: -3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + -11010000011?\nAnswer: -11010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40269, 40271, 40273, 40275, 40277, 40279?\nAnswer: 40281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -16.9\nAnswer: 50.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2 + 135*o\/2 + 33\/2.\nAnswer: 3*(o + 11)*(4*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/6 + y. Let r(c) = -4*c - 8. Let f be (102\/(-15) + 6)*5. Let b(l) = 6*l + 10. Let g(k) = f*b(k) - 5*r(k). Give d(g(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155\/114 - 39\/38. What is the second biggest value in -12, 40, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63576\/(-33554)*608\/12?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134970203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 9*j**2 + 10*j + 1. Let z be o(10). Let d be 1\/(-3)*(-12)\/z. Suppose 0 = -12*k + 20 + 16. Solve 7*r - d*r = 0, 0 = -k*n - r + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 17862880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1 + 6*d**2 + 0*d + 4*d + 2 + 3*d**3 - 2. Let m be i(-5). List the prime factors of m\/(-8) - 3\/(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/7 + 171*l**2\/7 + 668*l\/7 = 0.\nAnswer: -167, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17247522 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/544825 and 77\/1215820.\nAnswer: 115502900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3790 a factor of 1662691863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 w when four letters picked without replacement from wwwwwwwwwfwwwwwwww.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and -762.9698.\nAnswer: -772.9698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 134 - 67?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (41 + 21 - 135)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2333.789 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639077.\nAnswer: 641, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/28)\/(4\/(((-112)\/(-6))\/7)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 10. Suppose -v = -4, 2 = o + 5*v - 11. Let b = o + 14. Is q(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 1679298*o - 1679301.\nAnswer: 3*(o - 559767)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -96, -379, -850, -1509, -2356?\n\"Answer: -94*l**2 - l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12869 is divided by 692?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 392\/98*(-5)\/2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.5 - 5.6. Let c = k - 3. Let d = -12 - -12.4. Sort d, c, -5.\nAnswer: -5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 4. Let r be b(-2). Suppose -y - 2*y + 12 = 0. Solve -r*l - 15 - 5 = 2*x, y*x - 20 = 4*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.2 + -4.6. Let o = -7 - k. Round o to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00060087 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 216 = 4*a - i, -2*i + 212 = 4*a. Let r = -17 + a. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2674, -5348, -8022, -10696, -13370?\nAnswer: -16044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -278961872 divided by -8?\nAnswer: 34870234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f*h**2*i**2 + 6*f*h**2 + 30*f*h + 7*h**2*i**2 + 6*h**2 wrt f?\nAnswer: -4*h**2*i**2 + 6*h**2 + 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117595 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -2, 0.1, -343?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2 - 4494*o - 5049009 = 0?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 142 * 12.8\nAnswer: 1817.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5856 by 16.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 0.3, 0.154, 23\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -49\/4, 0.04, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from qiqataxiqaqaiatq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a18 - -114b?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (-2 - (-1 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 - 4\/(-8). Solve c*b + b = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g + 3*g, -2*d + 3*g + 13 = 0. Suppose z = -5*a - 18, 0 = 2*z - 5*z - 3*a - 6. Sort z, d, 3 in ascending order.\nAnswer: z, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 5619 + 112\/14 + -10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 + 2*v**3 + 7*v**2)*(-138 - 835 - 622).\nAnswer: -3190*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5753\/3870 - -21\/215. Let k = 4979 - 164281\/33. Find the common denominator of k and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -103. What is the hundreds digit of ((-2136)\/36)\/(j\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 246.583831302505521 + 11594637772.416111397494479. Let c = n + -11594636734. Let b = -1285 + c. Round b to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (8 + 1))\/(-2). Suppose -n*r = -7 - 13. Suppose 77 = r*l + 5*c, l - 2*c = -7*c + 38. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1494)\/(-10))\/(30\/200)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4673*t - 4585*t + 1848 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.416112 millennia to decades.\nAnswer: 241.6112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/1583521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/((b*b*b**(-2\/7)*b)\/b*b))\/b))\/b**(-4\/9))\/(b**(2\/3))**(-4\/7) assuming b is positive.\nAnswer: b**(349\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + -13 + 44 + -28 - 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q + 2. Calculate i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 22*r + 248 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 10. Let l = 17 - 33. Is 13 a factor of b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 790249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78\/11 - 724\/99. Sort 2.3, -2, b.\nAnswer: -2, b, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10111 and -0.1.\nAnswer: 10110.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)\/b)**(1\/4)*b**5\/b*b**(-2)*b\/b**(2\/7)*b**(6\/5)\/b*(b**(-1\/3)\/b)\/b*b*b*b\/((b*b*b**(1\/5)*b)\/b) assuming b is positive.\nAnswer: b**(517\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 37 + 4 = 5*m, -32 = -4*m + b. Suppose m = 3*o - 6. Solve 10*g = o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1. Let i(u) = -2*u**3 - u**2 + 3*u + 8. Let a(y) = -i(y) + 6*t(y). Let v(r) = r + 6. Let f be v(-4). Suppose f = -3*s + 2*s. Calculate a(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-604)\/(-36) - 2) + (-6)\/(-27). Suppose 0 = m*i + 5*i - 18000. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {q: 1, f: 5, w: 3, h: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 163004 and 342.3776493?\nAnswer: 162661.6223507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 17}. What is prob of picking 2 x and 1 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 7*k - 10. Let v be a(4). Suppose 0 = -5*x - c + 361, 0 = -v*c - 0 + 2. Let i = x - 212\/3. What is the closest to -0.2 in 1, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23524 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*n = -0*n - 9, 3*f - 5 = -4*n. Let t be 2*(-6)\/(-4) + f. What is the first derivative of -80*o + 80*o - t - 2*o**3 wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 223?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*l - 95, 3*l - l + 60 = -3*t. Let r = 637 + -638. Sort r, 1, t, -4 in increasing order.\nAnswer: t, -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6255915878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -813357 divided by -271119?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 + -102. Let j(i) = i**3 + 9*i**2 + 12*i + 19. Let f be j(-8). Calculate the remainder when r is divided by (f - -2)\/((-4)\/16*2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313899750.\nAnswer: 2, 3, 5, 139511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 12*p - 12. Let r be 135 + 20\/4 - 4. Let x = r - 143. Is f(x) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -982, -1459, -1928?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*c**2 + 11*c**2 + 10*c**2)*(7*c + c + 2*c) + 1 - c**3 - c**3 + 3*c**3 as f*c**2 + d*c**3 + m + s*c and give d.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a**3 - 208*a - 667?\nAnswer: -12*a**2 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.1 + 6. Let s = 53 - 53.05. Let u = s - -0.55. What is the second smallest value in u, -1, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 24. What is w(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 79 = -157. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 - 18 = 0. Let b(f) = -f**2 + 9*f - 12. Let s be b(6). Let l = h - s. Put l, -5, 0 in decreasing order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 + n**5\/30 - n**4\/6 + 4*n**2. Let q be o(-3). Solve 0*l + 15 = -q*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*i - 3, 3*c - 2 - 4 = 5*i. Suppose 12 = 4*s - 2*v, -6 = -2*s + 2*v - 0*v. Let u(y) = s - 2 - 3*y - 7 - y**2 + 2. Calculate u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 5*o**2 - 16*o - 7. Let f be 3 - (4\/(-6))\/(2\/15). Let u = 12 + 3. What is the remainder when w(f) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*o - 140 = 0, 3*s - 62 - 22 = -o. Is 17763\/4 + s\/112 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/158756 and 39\/12212.\nAnswer: 158756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 9628, 5 in descending order.\nAnswer: 9628, 47, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-63)\/(-2)) + 325\/117. Solve 3*h = 5*g + 20, -2*g = -2*h + 11 - q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -30. What is the smallest common multiple of (-6)\/(-24)*(-1 - -5) and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 103 (b) 0.532 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-35 + 17 - -3) + 1 - -15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 66 = -75. Suppose -5*h + 37 = 4*r, 0*h - r - j = -5*h. What is the highest common factor of h and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9 = -t, 10 = 32*t - 30*t + 2*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2376 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7874 - 5451?\nAnswer: -13325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.29755cm in micrometers?\nAnswer: 162975.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -936710 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 21, -28, 121 in descending order.\nAnswer: 121, 21, 10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (22 - 38 - -39).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36202557 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**1)*g\/(g**17*g))\/(g*g**(-1\/14)*g)**(1\/11) assuming g is positive.\nAnswer: g**(-2799\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjreeeoriee. Give prob of picking 1 j and 1 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918951 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) 1\/4 (b) -98 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 11:01 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -40*d + 63*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 383*a + 18878. What is j(58)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227.4 - -137.7. Let s = f + 90. Let q = 5 - 4.9. Sort q, 0.2, s in descending order.\nAnswer: s, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 6*w - 7. Let u(d) = 72 - 20 - 24 - 22 - 5*d - d**2. What is 5*t(p) + 6*u(p)?\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -356, 0, -3, -5 in decreasing order.\nAnswer: 0, -1, -3, -5, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 491904 and 1528416?\nAnswer: 42795648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2913*k - 8630*k - 8417*k.\nAnswer: -14134*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:02 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c + 38. Let j be y(-4). Suppose 6 = -2*o - 2. Put o, -1, j in descending order.\nAnswer: j, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202169*q**5 - 142*q**4 + 60039596*q**2 wrt q?\nAnswer: 12130140*q**2 - 3408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 7*t - 9. Let j(z) = 3*z**2 + 12*z + 9. Let a(n) = n**2. Let q(d) = -2*a(d) + j(d). Let f be q(-6). Let c be 9\/(-2)*(-36)\/f. What is l(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2312400 = 869*s - 664*s. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7760 + -7760.5. Let n(p) = p**2 - 5*p - 4. Let w be n(5). Let m be (-5)\/(-4)*w\/(-10). Which is the third biggest value? (a) m (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -7. Let f(r) = 15*r**2 - r - 1. Is f(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13956.18269 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351868, -2815090, -9500982, -22520878, -43986112?\nAnswer: -76008018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2168.8 - -2168. Which is the closest to 9? (a) 4 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddvddddddddd. Give prob of picking 2 d.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -112?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 11:04 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74720991 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 32582*m**2 - 65162*m + 97742\/3.\nAnswer: -2*(m - 48871)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 + 302 - 7*h**2 - 155.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus -5316.0599284?\nAnswer: 5316.6599284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153562?\nAnswer: 2, 76781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-21 + 12) - (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:28 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from tjtticivjbbvvt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:04 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**(-2\/5))**22*(i**(-11)*i*(i**(9\/4)\/i)\/i)**(-2\/125) assuming i is positive.\nAnswer: i**(-4283\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zzgghzzgz?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/38995 and 47\/9816105.\nAnswer: 107977155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, -846, -2040, -3218, -4374, -5502?\nAnswer: -6596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192141 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 429 (b) 2\/7 (c) -2 (d) -1\/3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*a - 379 = 76*a + 881. Put -5, -21, -3, a in decreasing order.\nAnswer: -3, -5, a, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let x(m) be the first derivative of m**2\/2 + 4*m - 6. Let u be x(0). Solve -u*h = -o*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4686)\/(-165)*((-2471)\/1236 - -2) and 109\/480.\nAnswer: 49440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011011000 (base 3) to base 13\nAnswer: -a449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867453?\nAnswer: 7, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (273\/6 - 4)*2. Let k = h - 58. Suppose m = 30 - k. Put m, -3, -4 in ascending order.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = 0, 0 = -d - 2*t + 764. Let x = d - 438. What are the prime factors of x?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 7, i: 4, g: 1}. What is prob of sequence qqqg?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131605 rounded to 3 decimal places?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olrk when four letters picked without replacement from orfkl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2. Let o(s) = -4*s**2. Let m(n) = -n**2. Let x(j) = 3*m(j) + o(j). What is x(y(h))?\nAnswer: -63*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.38 + -0.5. Let a = c + -0.9. Let j = -2.98 + a. What is the closest to 0 in 1\/5, j, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/13 - 704*s**2\/13 - 5014*s\/13 - 4308\/13.\nAnswer: 2*(s - 359)*(s + 1)*(s + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*z + z - 5, -z + 1 = 2*r. Let a(o) = r + 0 + 20*o - 17*o. Let y(n) = -n**2. Determine y(a(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34326 - 24265. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:37 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = 8*w. Suppose -8*f + w*f + 30 = 0. What is the least common multiple of f and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242*d**4 + 10*d + 2?\nAnswer: 2904*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 0.007312582?\nAnswer: 0.0043875492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -78*f + 541650. List the prime factors of f.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/108*(-8)\/(-126).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -3*b - 3*d, 0*b - 4*b = -3*d - 547. What are the prime factors of b?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -5*c**4\/12 - 10*c**3\/3 - 7*c**2. Let p be y(-2). Solve p = -5*t - 0*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1522598 divided by -264.\nAnswer: -69209\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967097 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 = -125*o - 383 - 1063 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Let g be (-6696)\/(-9920) - 2\/16*4. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 349445 and 70735.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h**3 + h**3 + h**3)*(-37974 - 3*h + 0*h + 37930) + 22*h - 14*h + h**4 - 4*h**2 - 10*h in the form v*h**2 + l*h**3 + f*h**4 + x + w*h and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -33.99999994. Round n to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 2*d)*(-2*d + 0*d + 4*d) - 5*d + 5*d - d**2 - 3*d**2 + 3*d**2 + d - 4*d**2.\nAnswer: -9*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/4 - 21*b**4\/4 - 61*b**3\/2 - 51*b**2 - 26*b = 0?\nAnswer: -2, -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*l**2*q**2*v**4 + 4*l**2*q*v + 6*l*q**2*v**2 + 2*l*v**2 + 20*v**5 wrt v?\nAnswer: 216*l**2*q**2*v + 1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -647, -2597, -5847, -10397, -16247?\n\"Answer: -650*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 2247)*1\/2. Suppose -16*s + 8697 - 44873 = 0. Let h = m + s. Round h to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*200\/5250*(1 + 4\/8). Factor -j*b**5 + 4\/5*b**3 + 0 + 0*b**2 + 0*b + 2\/5*b**4.\nAnswer: -2*b**3*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.499 + 23.499. Let c = 7.44 + -7. What is the biggest value in -4, -0.3, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = 48, 4*b + 2*j - 31416 = -31384 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 471 or 1959?\nAnswer: 1959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913 < 2918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45780 take away -7394?\nAnswer: 53174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 465, 0.1, 18\/5, -2\/71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 1, 7, 15, 25?\n\"Answer: r**2 + r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-10))\/3)\/((-31)\/(-155))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*k**2 - 80*k + 80*k + (4 - 5 - 13)*(0*k**2 + 2*k**2 + 0*k**2).\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51 - (-12)\/(-3) - 2. Suppose -6*f = -k - 21. Suppose -p + 4*v = 5*v - 7, 2*v = -p + f. Solve -28 = 4*l + 5*x, -5*x = -p*l - 3*x + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1608744, -1608746, -1608748, -1608750, -1608752?\n\"Answer: -2*a - 1608742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6 + 1. Suppose f + j = 12. Suppose -5*v + 3*u - f*u = -55, 2*v + u - 22 = 0. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/h**6)\/h*h)*h*h*h\/((h*(h**(-4)\/h)\/h)\/h)*h)\/(h**(4\/7)\/((h\/(h\/((h\/(h*h\/(h**(2\/13)\/h)*h))\/h)))\/h)) assuming h is positive.\nAnswer: h**(1054\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 - -6 - (35 + -25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.3873 millilitres to litres.\nAnswer: 0.0633873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3993595031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 868784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 - c**2 + c**2)*((-c + c - 2*c)*(0 + 2 - 4) + 6 - 6 + 6*c + 4*c + 3*c - 4*c) to the form k*c**2 + n*c**3 + h*c + z and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48927*p - 48943*p = -401648. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-3 + 7 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/4 + 18*a**3 - 94*a**2 - 90. Find the second derivative of k(i) wrt i.\nAnswer: -6*i + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than -2335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 78*r**3 + 6*r**2 - 19*r - 40. Is u(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 44795.\nAnswer: 3\/44795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 - 22 = 0. Let i = l + 24. Let k = 21 + i. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Let q be m(-14). Is q at least -152\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*m**2 - 427*m**2 - 141*m**2.\nAnswer: -872*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115660473, 115660474, 115660475, 115660476?\n\"Answer: k + 115660472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 16 + -28 + -16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - 56 - 59 - 33?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228*j**5 + 1445 + 1434 - 2879)*(-2 - 3 + 0).\nAnswer: -1140*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 554, 554, 582, 650, 770, 954, 1214?\n\"Answer: 2*t**3 + 2*t**2 - 20*t + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -144?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48713332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1125.1 - 1125. Which is the nearest to w? (a) 3 (b) -1 (c) -0.2 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.5 + -36.7. Which is the second biggest value? (a) -2\/9 (b) -59 (c) -3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1456 and 48.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**3 - 19*o**3 - 20*o**3 + 50*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2736 + 2744. Calculate the remainder when (-4)\/10 - 267\/(-5) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.19733 to one decimal place.\nAnswer: -522.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/(-6))\/((-15)\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/72 - 363\/108?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*g + 977 = 0, -5*j - 754 = 2*g + 879. What is the common denominator of 1\/20 and 6\/4*j\/81?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 727492.\nAnswer: -14549840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 2622\nAnswer: -393.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8739, -17454, -26155, -34836, -43491?\n\"Answer: s**3 + s**2 - 8725*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 269?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 711*g**3 + 0 - 2115*g**3 + 715*g**3 + 702*g**3.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6.4. Let p = q - 0.8. Sort 2, p, -1\/2 in ascending order.\nAnswer: -1\/2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74509778 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 10395514?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.5 + 10.451. Let p = w + -7.251. Let d = p - -7. Which is the nearest to -0.1? (a) -2\/3 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -14*n**4\/3 + 66476*n**3\/3 + 47494*n**2\/3 - 6332*n = 0?\nAnswer: -1, 0, 2\/7, 4749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/1*(-3)\/(-7)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 + 2*i**3)*(3 - 3 + 1) + 3*i**2 + 0*i**3 - i**2 - i**3 + (-3 + 3 - i)*(-2*i**2 + 0*i**2 + 0*i**2).\nAnswer: 3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324910000 rounded to the nearest 1000000?\nAnswer: 325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6244 + 4704 = 0. What is the remainder when m\/46 + 1\/2 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3, -z + 2*z - 840 = -2*j. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 5*a + 1. Let s(l) = -l**2 + 2*l**2 - 6*l - 4 + 0*l**2. Let q be s(7). Does 3 divide t(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011100000111 - 101?\nAnswer: -101011100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/12 - 11*z**3\/6 - 4*z**2 + 3*z. Let a be b(12). Solve a*i - 2 = -18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3 - 10*k**3 - 9 + 0*k - 14*k - 3*k**2 + 3*k - 2*k. What is the hundreds digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*z + 126 = 113*z + 498. Calculate the remainder when 1357 is divided by z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-18)*1*-3*1. Suppose -2*c + 7*c = -b*f + 10, 0 = 3*f + 3. Suppose 0 = 2*x - 4*j, -3*x + 2*j + 6 = -j. Sort x, -2, c in descending order.\nAnswer: x, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 7*w**6\/120 + w**5\/6 - 22*w**4\/3 - 101*w**2. What is the second derivative of b(h) wrt h?\nAnswer: 42*h + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -47\/19638?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6498 is divided by 1325.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.2. Let g be 15\/(-3)*(-6)\/(-45). Which is the closest to u? (a) -0.1 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*f + 9971 + 5860 = 2913 - 6178 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39223 - 39055. What is the closest to -2 in 4, y, 5\/6, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let s = 411 - 6163\/15. What is the third smallest value in 0.3, s, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -782 minus 0.2?\nAnswer: -782.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 14) in base 8?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 488*i**4 + 17 - i**2 - 26 + 11 + 2 to h*i**4 + u*i**2 + y*i**3 + q + p*i and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 128775*p**2 - 5287790*p + 10060440.\nAnswer: 5*(p - 39)*(p - 2)*(p + 25796)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-385)\/99)*(-51436)\/(-110220)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -14, -4, 1312, 2, -1 in decreasing order.\nAnswer: 1312, 2, -1, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*1081.9687.\nAnswer: 9737.7183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 5*c + 6*c)*(-173 + 85 + 89 - 188*c) to the form g + j*c + o*c**2 and give o.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056664459 rounded to seven dps?\nAnswer: -0.0000567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/5, -0.02, 45, 26 in decreasing order.\nAnswer: 45, 26, 31\/5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 18854.\nAnswer: 18854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 221322213130?\nAnswer: -221322213122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q - 918 - 146 = 0 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*m + 32, 10*n + 8 = 12*n - 4*m. Let i be 5 - 10 - 36\/n*-2. Solve -4*b - i*x - 8 = 0, -b - 2 = -x + 3*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51984*-0.04.\nAnswer: 2079.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(112) + sqrt(112) + 2 + (-1 + sqrt(448))**2).\nAnswer: -8*sqrt(7) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4088270.\nAnswer: 2, 5, 227, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, 11, 0.06, -0.38, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 43*b - 87955. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 7) in base 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + q**2 - q. Let s be b(1). Suppose 0 = s*f - 3*f + 155. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 22. Let p be 121\/(-396) + (-1)\/(-3). Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 5:30 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 12:53 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 + 3*m - 3*m + (m**2 - m**2 + m**4)*(5*m + 3*m + 0*m) - m**5 - 4*m**5 + 14*m**5.\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:21 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 1:20 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*m, 3*m - 20 = -2*w + 6*m. Suppose -3*h + 5*c + 1 = 0, -w*c - 4 - 4 = 0. Suppose 0 = i - 6*i - 15. Is i less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/9 (c) 577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 57. Let g = j + -79. Let d be 14 - 1 - -7*g\/42. Calculate the highest common divisor of d and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(114)*-2*4*4)\/(sqrt(48)\/(-2*1*sqrt(8)))*-2 + -1.\nAnswer: -128*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 3*j**2 + 2*j + 4. Let q be o(-2). Suppose 3*w - d = -248 - 10, 344 = -q*w - 4*d. Let b = -21 - w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -101*o**2 + 32*o**2 + 34*o**2 + 34*o**2. Let z(s) = -2*s**2 - s**2 + s**2. Give z(j(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and -99\/230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 - 2*v - 6. Let j(x) = -x**2 - 1. Let t(u) = -5*j(u) + w(u). Let c be t(3). Let y be (-9)\/(-60) - c\/5. Is y equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*n - 4*y, 0*y + 20 = 5*n + 5*y. Let x be 5\/(n\/22 - 0). Suppose -5*c = 5 - x. Calculate the smallest common multiple of c and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - -1605?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/4 - 10*k**3\/3 - 4*k**2 + 3*k + 1838. Calculate t(10).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 51 + 13*j)*(2*j + 0 + 0).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 4*y - 2060 + 2099. What is s(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 2 - 72\/(-34). Let s be (12\/24)\/(0 + (-3)\/6). Let d be -6*(s + 128\/132). Which is the nearest to d? (a) 0.3 (b) f (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 576579, 1153111, 1729643, 2306175, 2882707, 3459239?\nAnswer: 4035771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 2\/11 (b) -22 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {g: 1, k: 4, h: 2, c: 1, v: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 6190*f - 12384.\nAnswer: (f - 6192)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000211832 to 6 decimal places.\nAnswer: -0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353643 is divided by 1104.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-10) - 6\/10. Let n(m) = -2*m**3 + 7*m**2 + m + 4. Let g be n(t). Let o = g + 157. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.037 and -1.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 9*o + o**2 - 7*o. Let l(x) = -x**2 + 1. Let c(a) = -8*a**2 - 3. Let y(q) = -c(q) - 3*l(q). Determine d(y(i)).\nAnswer: 121*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 - 183 = -3*o. Let b = o + -61. Is b\/9*3 + 1 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 8915208.\nAnswer: 98067288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-1 + (16 - 15) - 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 42*a**2 + 130*a - 57. Calculate s(-17).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/9 - 5*w**3\/9 - 26*w**2\/9 + 40*w\/3 = 0. Calculate w.\nAnswer: -5, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**6\/360 - j**5\/120 + j**4\/12 + j**3\/3 - 2*j. Let t(o) be the second derivative of n(o). Factor t(h).\nAnswer: -(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1029*o + 1023*o + 15912. Suppose -5*c - o = -4*i, 0 = 2*i - 5*i + 5*c + 1989. List the prime factors of i.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by 4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-6)\/(-180)). Let i(v) = 2*v - 9. Let m be i(r). Suppose 5*a - 83 = -5*q - 18, 5*a + 4*q - 63 = 0. Is a less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376*x**3 + 719*x?\nAnswer: -2256*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-9)\/6 - -6. Suppose 0 = -j*t - v + 59, 5*t - 2*v - 2*v - 70 = 0. What is the smallest common multiple of t and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1048*s - 3*s**2 + 1134*s - 257*s**3 + 3*s**2 wrt s?\nAnswer: -1542*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (-17 - -9) + 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - (-2 - -3)) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 201 = 123. What is the least common multiple of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhhzixixq. Give prob of sequence zi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 11 = 12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1043 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 34832?\nAnswer: 10449.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45363288 and 1809?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 343563570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*-1*-4)**2*1 - -5*sqrt(60)\/(-3*sqrt(192)).\nAnswer: -5*sqrt(5)\/12 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 50*u - 294. Let a be q(-5). Solve 15 = -5*b + 5*i, -13*i + 15*i = -3*b + a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 1807068*a.\nAnswer: -3*a*(a + 602356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361 take away -16679?\nAnswer: 18040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (4*2)\/(-2). Let d(r) = -6*r**2 - 106*r + 11. Let t be d(-15). Is (t\/(-4))\/(o\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -294 - -421. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 13. Let r = 75 - 75. Calculate b(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5*y = -5, 2*k + 4 = 6*k + 5*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 408860800 to the nearest 1000000.\nAnswer: 409000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.112?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3218 is divided by 1598.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-5)\/(-4)) + 0 + -1. Put -33, 0, r in descending order.\nAnswer: r, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 6:33 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3429 - -3433. Let q(x) = 8*x - 14. Determine q(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 4*n**2 - 6*n - 5. Let d(w) = -w**2 - 4*w + 3. Let s be d(-4). Suppose -s*g + 72 = -15*g. What is the tens digit of t(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 348 + 1638 = 0. What are the prime factors of s\/(-9) - (-11)\/33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3937 and 1440180?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40530.\nAnswer: 2, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 16 = -d, d + 7 = 2*q - 0*d. Let f = -6.9 + -1.1. Let o = 8 + f. Put q, 0.4, o in descending order.\nAnswer: q, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb47 + -13?\nAnswer: bb34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2579?\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/270 + 295*t**4\/27 - 131*t**3\/3 - 2*t**2 + 25. Factor x(d).\nAnswer: -2*(d - 1179)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6014060 to the nearest one hundred thousand.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4516 + 0.2334. What is g rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33992770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36 + 35)*(-4 - (813\/3 - -1)). Solve 0 = -6*g + y - 282 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6779, -13563, -20349, -27137, -33927, -40719?\nAnswer: -47513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 - 12*m + 2. Suppose 3 = 2*c + z - 4, -3*c - 2*z = -8. What is the least common multiple of 16 and k(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21 + (-180)\/756*39.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**21*a**(1\/5) assuming a is positive.\nAnswer: a**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 503878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142681600?\nAnswer: 2, 5, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.063573 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 82*o**2 + 9*o - 16. Let t be r(4). Suppose -5*h + t = 7*c - 6*c, 1074 = 4*h - 2*c. List the prime factors of h.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -1212042?\nAnswer: 1212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/4 - 1104*o - 2209 = 0. What is o?\nAnswer: -2, 4418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137474803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123815649 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 141*y = 144*y - 21, -y + 5 = 0. Let c(d) be the second derivative of -1\/4*d**f + 0 + 1\/24*d**4 + 6*d + 0*d**3. Let c(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1204*y**2 - 3100*y**2 - 8164*y**2 to the form b*y**2 + u*y + s and give b.\nAnswer: -10060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -45. Which is the closest to 2? (a) -2 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 10*w**2 + 25*w - 9. Let c be l(12). Put -1, c, -4 in decreasing order.\nAnswer: c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 0*b + 5*b)*(-2*b + 0*b + 4*b) + 9519*b + 214*b**2 - 9519*b to the form x + f*b**2 + t*b and give f.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1033*y**2 - 79*y**2.\nAnswer: 954*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -61*o + 59*o. Let z be (-2 + 0\/(-2))*(-2)\/2. Solve -2*l - 4*d = 2 + z, 13 = -o*l + d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p = 100*p + 134 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -520629318 times 4\nAnswer: -2082517272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/176 and (-54)\/9 + 146\/32?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421344665 to the nearest integer?\nAnswer: 20527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 12. Let f(m) = -2*m + 1. Let z(k) = b(k) + 3*f(k). Let u(a) = a**3 + 3*a**2 - 5*a - 4. Let l be u(-4). Give z(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - a = 11, 2*h - 6*a - 15 = -a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 + -56. What is the remainder when j is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 9*t**2 - 4*t + 5. Let b be k(-5). Suppose b = 11*h - 14*h. Solve -2*o = -h*o + 5*y + 20, 5*o + 4*y = -16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15050 = 3*w + 1957, 5*w - 21831 = j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3024)\/(-588))\/((-45)\/42)*5\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2937*u**3 - 33*u + 66. Let v(h) = -367*h**3 + 4*h - 8. Give -4*m(a) - 33*v(a).\nAnswer: 363*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 76*f + 308. Let w be a(-4). Let i(b) = b**3 + 12*b**2 + 12*b + 11. Let x be i(-11). Solve 0 = -w*l - q - 22, x = -2*l + 3*q - 4*q - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 14*n + 10. Let o(d) = d**3 - 13*d - 7. Let g be o(4). Let r(a) = -3*a**2 - 13*a - 10. Let w(f) = g*p(f) + 6*r(f). What is v in w(v) = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.3, 3124, -0.1, -2\/65, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - m + 1. Let k(x) = -21*x**2 - 8*x - 118. Determine -6*g(o) + k(o).\nAnswer: -3*o**2 - 2*o - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12701530 is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46703 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 209.87 to 0 decimal places.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274\/11 + -1895\/88. Let t = -39331\/90 - -2192\/5. What is the common denominator of t and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 801150 and 2478?\nAnswer: 47267850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 10*a**2 - 28*a - 31. Does 11 divide t(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -14. Suppose -2*l - x + 3 = 0, -3*l - 2*x + x + 4 = 0. Suppose -37 = -3*s - l. Calculate the highest common divisor of f and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38519 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.14 + -205.86. Let a = x + 182.4. Let v = 24 + a. Is v at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(21)\/sqrt(3) + 2)*6.\nAnswer: 6*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 48.31. Let o = c - 0.48. Let k = -0.27 - o. What is the second biggest value in 2, 2\/19, k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - (-28152 + 8 + -4 + 6). Let i = 306405806 + -9805886195\/32. Let t = i + o. What is the common denominator of t and 53\/4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 2 - (6 + (-39 - -27)) - 4) + -56.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -256\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 - 4 = 0. Suppose -8*h = -5*h. Suppose y*q = -3*j + 6, -3*q - 4 = -2*j - h. Are 3\/5 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 9. Let n = 5.9 - j. Which is the closest to n? (a) -5 (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6413\/10 - 980489\/1530. Let z = o + -4\/17. Which is the nearest to 0? (a) -3 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 5, m: 2, b: 8, f: 2, z: 2}. What is prob of picking 2 b, 1 x, and 1 p?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = 12, -3*p = -b + 2. Let o(i) = i**2 - 5*i - 9. What is the remainder when b is divided by o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/92 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 18*a - 4. Determine q(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 14 = -24*n - 5*u, 12 = -4*n - 4*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 49*t**2 - 114*t + 55. Give a(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17412 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:36 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -7\/4 (c) -1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -40, 3 in decreasing order.\nAnswer: 3, -2\/3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 + 2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -11, 4, -0.1, -111\/22, 65?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12406869?\nAnswer: 3, 1378541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 7:09 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, r: 2, g: 1}. Give prob of sequence rg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, k: 1}. What is prob of picking 1 k and 3 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017879 to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 213602227 + 213602227.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (86\/(-215))\/((-90)\/(-25))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40889)\/(-1 + (-11 - -11)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19186128*o**5 + o**4 + 2*o**2 - 37566*o + 17?\nAnswer: 1151167680*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 823 - 827. Let v = -1.3 + -0.3. Which is the nearest to -0.1? (a) l (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d368c5 - 2?\nAnswer: -d368c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 563, 1016, 1451, 1862, 2243?\n\"Answer: -k**3 - 3*k**2 + 469*k + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 4*t**2 - 23*t**2 + 7*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -t. Which is greater: 11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccnmcccccnnmnn. What is prob of sequence ncn?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1776 + 5?\nAnswer: -1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33 - 30)\/((-376)\/(-74) - 5). Let m(w) = 2*w**2 - 76*w + 89. Give m(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - l)*(-3 - 1 + 2) - 3 + 2*l + 3)*(2*l**2 - l**2 - 4*l**2).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/2 - 8*z**3 - 63*z**2\/2 - 10*z + 50 = 0. Calculate z.\nAnswer: -10, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 198*l**2 + 28*l - 86. What is the ten thousands digit of f(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i**2. Let x(s) = 155*s - 5*s**2 + 2*s**2 + 5*s**2 - 160*s. Give x(b(o)).\nAnswer: 968*o**4 + 110*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/3, 338, -2, 0.1, -73, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655468.\nAnswer: 2, 11, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778929941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1151250*r**3 - 5462*r**2 + 128*r + 2.\nAnswer: 6907500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 46*d**2 - 48*d + 32. List the prime factors of y(-22).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -369, -8, 30, -3 in increasing order.\nAnswer: -369, -8, -5, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2 - 6*z**2 - 1 - 7*z - 6 - z**3 - 2. Let b(r) = r**3 + 9*r**2 - 10*r - 5. Let o be b(-10). Give n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 19*b**3\/3 - 1. Let o(n) = 1010854*n + 1010858*n - 2021705*n. What is k(o(q))?\nAnswer: 931*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.19, 5 in ascending order.\nAnswer: 0.19, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(147) + -2 + 2 + -1 + sqrt(147))**2 + (3 + (sqrt(243)*1)**2 - (6*(sqrt(243) - (sqrt(243) + 3)) - sqrt(243))**2).\nAnswer: -324*sqrt(3) + 1443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l**5 + l**5 - 3*l**5)*(-1 - 4 + 4).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 39972911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six sevenths of a week?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-30)\/(-104)))\/((-32)\/480*-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - -3)*((-36)\/(-676))\/(-3) and 94\/141*(-474)\/(-40).\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/2, 2.5, 383, -2\/15?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 4:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*g = -74 - 1, 426 = 5*k - 2*g. Is ((-104)\/(-14))\/(24\/k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3225\/(-630) + 2)\/((-1)\/279). Let q = -870 + t. Which is smaller: q or -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)*r)\/r)\/r**(-6)*(r**(1\/4))**(-20) assuming r is positive.\nAnswer: r**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 10409*c + 62469. Give g(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462315 is divided by 153950?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 902845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1916408094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*n = 364*n - 2*l - 35, -3*l = 6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 340?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 33, 2, -4 in increasing order.\nAnswer: -4, 2, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 2\/3, 0.71, -4\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 104.1285 decades?\nAnswer: 10.41285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*h**3 - 14*h**3 + 26*h**3)*(-h + 4*h + 2 - 2*h).\nAnswer: 36*h**4 + 72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13714345?\nAnswer: 5, 97, 28277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + h = 929 - 146, 0 = 4*h + 8. Suppose 0 = -3*j + v + 107. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/4570?\nAnswer: 1\/4570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 3 - 4 + 0. Let r = 252 - 247. What are the prime factors of z(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-575)\/125 + (-9)\/(-15) + 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 541*z - 2729. Determine w(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1754 = -6*h + 5978. Suppose h = 2*l - 60. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902.469um in kilometers?\nAnswer: 0.000004902469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 591?\nAnswer: 5\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5*4)\/((-96)\/36)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c + 0*c**4 - 4*c**2 + 0 + 1\/600*c**6 - 5*c**3 + 3\/200*c**5. Let v(s) be the first derivative of m(s). Solve v(r) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89889 is divided by 396?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 4*v**4\/3 - 10*v**3\/3 + v**2 - v. Let n(r) = -31*r**2 + 39*r - 3. Let m(d) = -2*n(d) - 5*y(d). Let m(i) = 0. Calculate i.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3506*n + 107283 + 4909 = 0 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and -0.14.\nAnswer: 4.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -171268343 - -1.7\nAnswer: -171268341.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5972?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w*z**4 + 6*w*z**2 + 5*w*z - 96670478*z**3 - 95*z**2 - 13*z - 152 wrt z.\nAnswer: 48*w*z - 580022868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (378\/216)\/((-70)\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -999 in 0, 2.2, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.0309 + 0.0691. Round v to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:11 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-4)*(-16)\/(-3). Let s be z\/15 - 6\/(-10). Suppose s*x + 2439 - 339 = 0. Round x to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -118*x**2 + 717*x - 69. Calculate q(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prrr when four letters picked without replacement from {p: 3, r: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56882c30 + 4?\nAnswer: 56882c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 35. Suppose -8*h + 244 - 44 = v. Solve 3*s = -2*s + h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1663142 - 0?\nAnswer: -1663142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*h - 3*t + 6, 4 = -5*h + 2*t. Is h - (34 - -3)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.471 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.098 + 10.498. Let i = 2.6 + x. Let r = 13.008 - i. Round r to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 1:45 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -25)*11\/(-11)*2\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16001 - 13?\nAnswer: -16014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14604529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295\/(-1593)*-9)\/((-40)\/(-18))*-132.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/12*30\/4. Is -3 - ((x - 2) + 1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -7. Let m(x) = -x**3 - 2*x**2 + 2*x + 1. Let i be m(o). Suppose -i*h = -2*h - 36. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k - 38*k - 21*k - 12*k + 11*k**3 + 90*k.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/17 - 138*b**2\/17 + 1476*b\/17 + 3520\/17 = 0.\nAnswer: -2, 16, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122882 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765491335?\nAnswer: 3, 5, 20485121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaaa when four letters picked without replacement from uauaaaaaaaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 51 + 5 = 0. What is the remainder when (1 + 0)*(57 + -1 - 4) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*s - 12. Let x be (-575)\/s*(-2)\/(-10). Let d = 29 + x. Is d > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.247 + -1.097. Let r = u + -43. Round r to 1 dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 569 - 406. Let w = -159 + s. Solve w*u + 5 = -3*l - u, -l + 3 = 4*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 8*z - 4. What is o(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 + 304*u**4 + 3932*u**3 - 96744*u**2 - 651168*u = 0. What is u?\nAnswer: -19, -6, 0, 17, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 8, 55, 132, 245, 400, 603, 860?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 2*g + 6 - 4 + g + 6*g. What is the remainder when s(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 4 + 3*g**2 - 1\/6*g**4 + 0*g + 0*g**3 + 1\/30*g**5. Let d(z) be the second derivative of j(z). Let d(t) = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3161243.7 and 1.08.\nAnswer: 3161244.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-38)\/24 + (-23)\/(-92)). Solve -m*n + 3 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109109 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.49731951 take away 8?\nAnswer: -10.49731951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 32. What is the remainder when (-2)\/3*(-3216)\/32 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**2 + 5*i + 5. Let o(j) be the third derivative of -j**5\/12 - j**4\/12 - j**3\/3 + 3*j**2. Give -5*o(d) - 2*u(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(252)\/(sqrt(48)\/sqrt(4)))\/((sqrt(363)*1 - sqrt(363)) + sqrt(363)) + 1*sqrt(1008) + -4)**2.\nAnswer: -1064*sqrt(7)\/11 + 126364\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24 + -6*2\/4. Suppose -11*r + 4*r = -s. Solve -8*f + r*f = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26819 - -26869. Let y = 4 - 2. Calculate the smallest common multiple of g and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 59*w - 149. Calculate the remainder when 5011 is divided by s(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 2*f + 15807 - 15707 = -n - 0*f, f + 39 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1253? (a) -4 (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -67*d**2. Let y(g) = -1554*g**2 + 2. Determine y(i(t)).\nAnswer: -6975906*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlllllllqql. What is prob of picking 2 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3223460 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1584, 21, 1\/4, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -15, 5*q + 7*a - 8*a - 9955 = 0. Suppose -6*x + 4*j + q = -x, -x - j = -407. Is x a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 1\/7 (c) 22 (d) 4\/297 (e) -1\/2 (f) -2 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-45)\/(-6))*3. Let f be (0 - 8)\/i*1. Let 3*a - 1 + 0 + 2 - a**2 + a**3 + f*a**2 = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 10*o**3 - 51*o**2 + 432*o + 972 = 0.\nAnswer: -6, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3)\/((-22)\/(-66)*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.21131106 or 0.2?\nAnswer: 3.21131106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/7)\/(2\/7). Solve -o - z = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*l - 51. Suppose -231 = 5*x - 3*g, 4*g = -2*x + 3*x + 53. What is the remainder when (-27)\/x + (-434)\/(-10) is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 2*t**2 - 3)*((1 + 2*t - 1)*(0*t + 0*t + t) + 15*t**2 - t**2 + 18*t**2 - 1 + 1 - 2*t**2).\nAnswer: 64*t**4 + 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 517*q**2\/2 - 2092*q + 4200.\nAnswer: (q - 4)**2*(q + 525)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -0.017.\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4 + 2. Suppose w*s = -d + 3 + 1, -5*s + 19 = -2*d. Put 2, -5, d in descending order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335802 is divided by 6067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h, -3*z + 3*h = -7341 - 3954. Is z a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1694) + 4*sqrt(1694) + sqrt(1694) - sqrt(1694))\/(sqrt(7) - (sqrt(7) + sqrt(567))) + -5) + -2)**2.\nAnswer: 880*sqrt(2) + 123044\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m = 73*m + 272. Suppose 0 = 2*y - 4*i + 12, -5 = -4*i + 7. Which is the smallest value? (a) y (b) -0.4 (c) m (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -19*z**3 + z + 2. Give l(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -3, 4, 308, 3, -4.\nAnswer: -44, -4, -3, 3, 4, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 19*i - 16. Let k be w(4). Factor -20 - k*z**2 + 29*z**2 + 36*z**2.\nAnswer: 5*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtc when three letters picked without replacement from ctpctwppputppcwtpppc.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 47. Suppose c = p - 13. What is the first derivative of 2 - 6*m**2 + p - 7 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*j**2 - 2 + 15*j - 814*j**3 - 828*j**3 + 1644*j**3 to the form u*j**3 + a + w*j + v*j**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 4*x, -x - 1 = 4*o + 5. Suppose -2*r - a + 10 = 0, 3*r - x*a = 2*r - 5. Does 16 divide r\/6 + 142\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 5*n + 3*z, 2*n + n + 4*z = 118. Let p = n + -2. What is the greatest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(15\/(-160)). Suppose p = 4*h + 4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3204 = -4*v - 3191, -3*c + 2*v = -7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 - 3*f**2 + 4*f. Suppose 0 = -2*d + 5*j - 8, -d - 2*j + 3 = -11. Let p(a) = -4*a**3 + 3*a**2 - 3*a. Let k(q) = d*p(q) + 4*r(q). Factor k(s).\nAnswer: -2*s*(s - 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 + 3 = 0. Suppose 32*d - 24*d + 16 = 0. Put -3, y, d in ascending order.\nAnswer: -3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4 - 2\/(-4). Let c(r) = -r**3 + 15*r**2 - 3*r + 5. Let q be c(14). Suppose -o*p = 3*a - q, -2*a - 3*p + 52 = -49. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/8)\/((-9)\/(-48)). Let g be 10\/(-4)*(-16)\/i. Let k(d) = 2*d**3 - 3*d**3 - 4*d**2 + 9*d**2 - g*d. Calculate k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(2*s**2 + 2 - 2*s**2 + 12*s**2).\nAnswer: 12*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(1 + (-6)\/10). Suppose d + 2*d = 3*q - 144, 5*q = 4*d + 236. Suppose 9*b - q = -134. Put s, 4, b in decreasing order.\nAnswer: 4, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-6) + 5 + (-452)\/(-12) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 1, f: 5, c: 1}. What is prob of sequence cof?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -207373, -414269, -621163, -828055?\n\"Answer: r**2 - 206899*r - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-11*(-56)\/154 + -12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12*2*(-16)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 20. Let g be t(-14). Suppose 0 = -2*l - 3*l - 25. Let w be (-90)\/(-27)*g\/l. What is the third smallest value in 0, 2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*j - 14*j**2 + 558*j.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/14575 and -37\/106.\nAnswer: 29150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 117659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*g - 4)*(-63 + 16 - 55).\nAnswer: 204*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.0319631 times -0.3\nAnswer: -0.00958893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w + 2. Let k(h) = 226*h**3 + h**2 - 72*h - 13. Give k(n) + 8*u(n).\nAnswer: 226*n**3 + n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55457820?\nAnswer: 2, 3, 5, 11, 37, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 14, a: 1}. Give prob of picking 1 c and 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 + 3*w + 14. Let z be m(-6). Sort z, 2, 3.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10939749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-3)\/18*27 - (-10)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171675252 to the power of 1\/2, to the nearest integer?\nAnswer: 13102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - (sqrt(117)\/sqrt(3) - sqrt(39)))*-3)\/(-2*sqrt(108)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 406 = 4*q. Let g = q - -181. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v = -88. Suppose -4*x = -q - v - 9, -2*q = 2*x - 18. Let k(d) = d**2 - 9*d + 10. Let s be k(x). Solve -s*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-2*a + 3*a + a) + (-1 - 2 + 2)*(-a + 5*a + 0*a) - 40 + 40 - 10*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 8 - 50 = -4*u, 0 = 4*u - 3*b - 762 + 748 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-495)\/(-36))\/5 - (-2)\/8. Let i(z) = 163*z**q - 316*z**3 + 6*z**2 + 1 - 7*z + 152*z**3. Give i(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 55. Suppose -2*l + 662 = -2*b, s*l + b - 1685 = 6*l. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28807 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 4.3. Suppose 2*w + v + 6 = 0, -5*w + 2*w = -3*v + 27. Let z be (-176)\/(-20) + (-1)\/w. Sort n, z, 4 in descending order.\nAnswer: z, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(60\/29 + -2). Let r be 3*3\/(9\/v). Suppose -5 = 4*b - r. Solve 4 = -b*f + 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571*x = -554*x - 357. Let w = -98 + 103. What is the remainder when x is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(5) - -3*sqrt(5)*-2)**2 - ((sqrt(20) - sqrt(100)\/sqrt(20))\/(sqrt(64)\/sqrt(4)))**2.\nAnswer: -32*sqrt(5) + 1531\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23739?\nAnswer: 3, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 10 = -o. Suppose -3*j = -0*x + o*x - 208, 5*x + 2*j = 498. Let f = x + -46. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 + 8*g + 6. Let q be p(-6). Is (9\/q)\/(6\/(-76)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from {c: 2, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304) + sqrt(304) + 1 + -2)*-6 + -3*(-1 + 3*(1 + sqrt(2736))**2).\nAnswer: -24612 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 4.0334?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171) - -1*sqrt(171))*6)\/(-5*(sqrt(144) + sqrt(9))*2)*-4.\nAnswer: -96*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.3. Let u = 526.9 + 109.1. Let t = u + -636. Which is the nearest to t? (a) 1\/9 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*m**4 - 96\/5*m - 12\/5*m**3 + 84\/5*m**2 + 0 = 0. What is m?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882528.\nAnswer: 2, 3, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 1, 7548391.\nAnswer: 0.05, 1, 7548391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - -30. Let q = 72.9846 - x. What is q rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 18. Find the third derivative of -5*x**2 + o*x**4 - 46 + 46 wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/150 + 133\/50. Let z be (-18)\/(-8) - 2\/8. Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*k - 9 = 77*k. Let x be (156\/16)\/(-13)*(-3 + -5). What is the closest to 3 in k, x, -0.3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -43*x - 9. Let u be z(-2). What is u rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, -3, -1\/5, 3 in descending order.\nAnswer: 3, -1\/5, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1795+5438.3\nAnswer: 3643.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.073 + -11.073. Sort -1, -0.5, n, -5, 5\/6 in descending order.\nAnswer: 5\/6, -0.5, -1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1 - (-6)\/8*182\/39. What is the biggest value in -5, -0.03, -1.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 702 and 99.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 10. Let x be ((-18)\/(-8))\/(2\/8). Let v be x - 1\/(2\/6). Calculate o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -2*f + 5*v, -f + 5*v = -104 + 4. Calculate the remainder when 659 is divided by f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 34 + 78 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let w(q) = q**2 - 53*q + 57. Suppose 36*v - 21*v - 780 = 0. Let b be w(v). Solve 7*g + 10 = k*g - b*z, -2*g + 5*z = 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145 + -138.9. Let u = -3.9 + w. Let l = 2.2 - u. Which is the second smallest value? (a) l (b) -5 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.2, -158, 1, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 7*d**2 + 6*d - 9. What is the least common multiple of p(7) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 - 59 - (-28 + 118)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 - 188516*d**4 - 2150392256*d**3 + 1667232893216*d**2 - 312015805448640*d - 313685188545600 = 0?\nAnswer: -23934, -1, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290598*p**4 + 3050*p?\nAnswer: -3487176*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -18.2. Let d = y - 3. Which is the biggest value? (a) -0.1 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 295*z + 136*z - 234*z - 43 as y*z + u and give y.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112654350 (base 8) to base 15.\nAnswer: -1ac7b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7524\/(-18183)*1\/(-18)?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 7) in base 16?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i + 3. Let m(f) = -199*f - 188. Let h be m(-1). Let d(z) = 13*z - 6. What is h*n(p) + 6*d(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797*a - 1655*a + 981*a.\nAnswer: 123*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h\/((h**(-2\/9)\/h)\/h))*h)\/h)**42*(h*h**(-1\/2))**(15\/4))\/((h**3\/h)\/h*h**16)**30 assuming h is positive.\nAnswer: h**(-16451\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, w: 4, l: 5}. What is prob of picking 1 l and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 7*q**4\/4 - q**3\/3 + q**2\/2 - q + 1. Let v be y(1). Suppose 2*o + 28400000 = v*o. What is o rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -292870.15\nAnswer: 117148.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165155836?\nAnswer: 2, 3, 17, 467, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**8\/840 - w**6\/60 + w**5\/30 + w**3\/3 - w. Let t(f) be the second derivative of u(f). Solve t(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 56. Give v(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b - 4. Let m(g) = -4*g - 10. Let f(h) = -2*h - 6. Let u(t) = -10*f(t) + 6*m(t). Calculate u(q(w)).\nAnswer: 88*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -17488?\nAnswer: -5\/17488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 10 = 2*t, 0 = t + 2*r + 1 - 2. Suppose -484 = -5*b + t*b. Calculate the greatest common factor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c0b0b (base 14) to base 15\nAnswer: 587abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 12\/13, -3\/7, 1\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h = -24*h + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.081 - 1.081. What is the nearest to -2\/11 in 5, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -686 + 1040. Let y = o + -143. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.442 + 0.242. Put -1\/2, -4, r, -1 in increasing order.\nAnswer: -4, -1, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2773 and 3481.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfxtoo. Give prob of picking 1 x and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69872333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*m - 6*m - 58*m + 2184 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-55)*2*-5. Suppose -31*q - 9 = -12*q - 9. Suppose -6\/11*u + 4\/11 + d*u**3 + q*u**2 = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 3*x - 9 = 5*z, 3*z - 1 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 - 72. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 72. Is (1*22)\/(d\/64) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 7*y**2 + 6*y. Let s be h(-6). Suppose 4*j - 6*j = 20. Let w be (j + 2)\/(-2) + -11 + 8. Solve t + w + 1 = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6247900 to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (55\/20 + -2)\/(6\/(-120)). Let j be r*(-2)\/10 - -3. Solve 5*y - 21 + j = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3232871396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021482121 rounded to six decimal places?\nAnswer: 0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001931 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o**2 - 63*o**2 + 121*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 0. Suppose -16*g + l*g = -12. Suppose 2*t = 2 - 0, -5*n - 5*t = -20. Solve -n*z - 13 = 2*x, -x + z - 1 = -g*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/10 (b) 0.5 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110121 (base 3) in base 15?\nAnswer: -8b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 123, 301, 621, 1125, 1855, 2853?\nAnswer: 4161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5495*v + 5493*v. Solve 4*b - 3*q = -10, -8*b + 5*b - q - 1 = v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 14. Let k = l - -8. What is the second derivative of 0 + g + 3 + g**k - 3 wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 16\/(-56)*-7721 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8864 and 48.\nAnswer: 26592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.2124 micrometers to meters.\nAnswer: 0.0000162124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -730*r**2*s**3 + 126191*r**2*s + 38*s**3 wrt s.\nAnswer: -4380*r**2*s + 228*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -22. Let l be ((-16)\/(-3) + z)\/((-1)\/(-12)). Let b be (-3)\/l*(-160)\/150. Put 4, -2\/11, b, -2 in decreasing order.\nAnswer: 4, b, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + w**2 - w + 59. What is the remainder when o(0) is divided by (-50)\/1*((-1404)\/1485 - (-6)\/11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w + 15. Let o be c(-3). Suppose 3\/2*p**3 + 3\/2*p**4 + o*p + 0 + 1\/2*p**2 + 1\/2*p**5 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 29*r + 22*r + r**3 - 79*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(0 + (-9)\/(-12)). Let k = -1 - p. Suppose 2*a + k*z - 10 = 0, 3*a - 5*z + 11 = a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18380 + -23a?\nAnswer: 18141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362181 is divided by 362170.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-20)*o*o**(-5)*(((o\/o**(1\/13)*o)\/o)\/o)**(-21) assuming o is positive.\nAnswer: o**(-291\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1339890 divided by -89326\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*f - 13 = 0, -4*f + 14 - 2 = -2*k. Let q = -15 - -15.4. Let y = q - 0.1. Put k, -4, y in decreasing order.\nAnswer: k, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 = -9*n, -n = -2*a + 52. Suppose -3*y - i - i - 59 = 0, 4*y = 4*i - 112. Let u = -7 - y. What is the greatest common factor of u and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4111\/11 + -373. Factor 14\/11*r**3 - i*r**2 - 8\/11*r + 0 - 4\/11*r**4.\nAnswer: -2*r*(r - 2)**2*(2*r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 110. Does 52 divide (37 + -41)\/(g\/(-52))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17227920 is divided by 17227864.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((((sqrt(272)*-1)\/sqrt(8))\/sqrt(2))**2 - 5*(sqrt(2057) + 0)).\nAnswer: -55*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85123 and 37010.\nAnswer: 851230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**5 - 102*x**4 - 1199*x**3 - 5556*x**2 - 7928*x - 3456. Let v(j) = -j**3 - 3*j**2 + 2*j. Let z(o) = t(o) + 4*v(o). Suppose z(a) = 0. Calculate a.\nAnswer: -12, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -56. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54296424 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 35884?\nAnswer: 179420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121241, 121249, 121257, 121265, 121273?\nAnswer: 121281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -83\/9 (c) -5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = v - 25, 4*v + v - 41 = 3*f. Let i(k) = k + 1. Give i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o, 0 = b + o - 10 - 12. What is the remainder when 67 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 15*l**2 + 35*l + 8. Determine z(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {i: 1, e: 1, t: 4, r: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3123056381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -7\/5 (b) -2\/3 (c) 0.07 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*a**3*n*q - 3*a*n*q - 37*n + 5*q + 2 with respect to a.\nAnswer: -195*a**2*n*q - 3*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36767 times -34.06\nAnswer: -1252284.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1, 8, 4\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 654 + 1325. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**5 + 82*r**2 + r - 6 wrt r?\nAnswer: 80*r**3 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 100 - 106. Suppose 20 = 5*a - 5*h, r*a - h + 3 - 11 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 + 3\/2*b**3 + 4*b + 33*b**2. Let r be o(-7). What is the greatest common divisor of 12 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6738 + 5*o**3 + 13388 - 10*o**3 - 6650.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 8, -5, 5 in increasing order.\nAnswer: -5, 0, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by (1 - 2) + 129\/9*3?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -24, -55, -120, -231, -400?\n\"Answer: -2*b**3 + b**2 + 2*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -278425 take away -987.925?\nAnswer: -277437.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*b + 270*b - 20*b + 54*b - 13*b.\nAnswer: 163*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 115 = 4*b - 100, 5*b = u + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p + 30. Let s be h(-5). Let k(x) = x - 10. Let i be k(s). What is the nearest to 1 in 5, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 26122782?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/8 + (-21118)\/(-252). Let x = 814\/9 - f. Calculate the common denominator of 13\/6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1663 and 354.4.\nAnswer: -589367.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u. Let q(n) = -18*n**4 - n**2 + n + 1. Let v(k) = -p(k) - q(k). Differentiate v(x) with respect to x.\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70876\/13251 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3220 divided by 23.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.33 - 6.9. Let n = 1.57 + v. Which is bigger: 109 or n?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 604175\/56 - 104317\/8. Let h = f - -2252. Calculate the common denominator of 457\/30 - (-4)\/(-10) and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {x: 2, c: 2, e: 1, k: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32687 is divided by 10891?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*u**2 + 2 - 8.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64124 (base 7) to base 12.\nAnswer: 9205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*f + 97193 = 1737688 + 278251. Is 37 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 30*z**3 + 36*z**2 - 216*z.\nAnswer: 3*z*(z - 2)*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -25*y**2 + 43*y**2 - 25*y**2. Let v(x) = -2*x**2 - 2*x - 2. Let w(j) = -j - 1. Let p(o) = v(o) - 2*w(o). Calculate a(p(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/5)*a*a\/(a\/a**(-1))*(a**(-2))**(-18\/5) assuming a is positive.\nAnswer: a**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4))**(-45)*((f*f**7)\/f)\/f*f*(f*f**(-1\/3))\/f)**(-7) assuming f is positive.\nAnswer: f**(-2975\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(70)\/(sqrt(10)*-1).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3445239, -6890476, -10335713, -13780950, -17226187, -20671424?\n\"Answer: -3445237*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/9 - 12*c**4 + 1594*c**3\/9 - 3344*c**2\/3 + 3176*c - 3360 = 0. What is c?\nAnswer: 3, 4, 6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.97 - 5. Let d = k - -1.03. Put -0.4, d, 0.4 in ascending order.\nAnswer: -0.4, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97.99999929 + -98. What is g rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -342?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 24. Let g = 1.5 - 0.5. What is the smallest value in s, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 2*(-3)\/(-2). Let k be 325\/3 - (-2)\/q. Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7408, 30, 3 in ascending order.\nAnswer: -7408, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88632861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -19547*a + 207. Let v(c) = 4887*c - 46. Give 4*k(o) + 18*v(o).\nAnswer: 9778*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0*c + 2*c**2 - c + 3 + 4*c. Let n(r) = r + 1. Let l(h) = h**3 - h**2 - 4*h + 3. Let a be l(2). Let s(m) = a*q(m) - 5*n(m). Factor s(w).\nAnswer: -2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5701170443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 1, s: 4}. What is prob of sequence vsu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 - 16 = -2*u, -5*g = u - 26. Let w be (9 - u)\/((-2)\/4). List the prime factors of -1*(w - 6 - 32).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -1137\/2501 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 64895805*m - 64895800.\nAnswer: -5*(m - 12979160)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 1005 + 1027. Let g(i) = -7*i**3 - 2*i**2 + 1. Let v(d) = -d**2 + 1. Determine o*v(w) - g(w).\nAnswer: 7*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15243.83 - -15244. What is the nearest to -1 in -2, w, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*x - 4, -3*v = 1 + 11. Suppose 0*u + 4*u = 20, 5*g + x*u - 220 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5388 (base 11) to base 14.\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -57 (b) -0.6 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7595*v + 2 - 7602*v - 3.\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 106831 and 106814 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 - 37\/2*s + 23*s**2 + 7\/2*s**3 - 6 = 0 for s.\nAnswer: -3, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*g - 9*g - 6523, 4893 = 3*t - 3*g. Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369288 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*b = c - 19, 4*b + 4 = 0. Suppose 0 = -c*s + 2 + 19. Let o(a) = -a**2 + a + 26. Calculate the remainder when o(0) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 158973, 323916, 488859, 653802?\n\"Answer: 164943*t - 5970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/(-24)*2)\/(3\/(-26)) and -47\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - (-1 + -43)) + (19 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 7, 25 in ascending order.\nAnswer: 7, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94424 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23243 - 205635?\nAnswer: -162372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g - 42. Calculate s(-12).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -99 (b) 2 (c) -4 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**4 - o**4 + 2*o**4)*(-440 - 167 + 71) to the form r + u*o**4 + l*o**3 + n*o + x*o**2 and give u.\nAnswer: 1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 30. What is the common denominator of 4*(93\/(-8))\/((-10248)\/976) and 42\/(-8)*7\/s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1100 - 803. Which is the biggest value? (a) -3 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v**3 + 18*v**2 - 18*v**2 + (0*v - 22*v + 4*v)*(149 + 2*v**2 - 149).\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**3 + 6*z**2 + 13*z + 28. Let k be g(-2). Let s be (-3)\/((-6)\/(-116)) - 2. Is k greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.6. Let l = 0.4 - t. Which is the nearest to -1\/2? (a) 3\/8 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -4*v + 27 + 9. Let u(x) = -x**3 - 9*x**2 + 21*x - 10. Give u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 8*z + 4 + 0*z + (-4*z - 5 + 6*z + z)*(-1 - 9 - 6) to x*z + c and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b**2 + 47*b - 1. Give c(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 14 - 13) + 27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5824, 5668, 5414, 5062, 4612?\nAnswer: 4064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(-5*sqrt(12)\/sqrt(3)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:12 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 139. Let g be u(-3). What is the greatest common divisor of 80 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*w + 13 = 0, -9*w + 4*w - 2 = -9*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (945\/9)\/15*2\/5*-10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0 - 0)\/1. Calculate the remainder when 9 is divided by 5 + n\/(-2)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let o(v) = 2*v + 8. Let n be o(-3). Suppose 0 = -s - 0*b + b + 7, 4*s - 30 = 3*b. Solve g*c = -n*c - r + s, -4*c - 2*r + 14 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + p - p - 5 + p + 2*p. Let o be j(-5). Let c = -31 + 61. Solve -5*u + o*s + c = 0, -u = -3*u - s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 30*s - 13. Let k be d(6). Suppose 2*z - 3*z = -3*c - k, -z + 5*c = -157. What are the prime factors of z?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5 + (sqrt(243) + 0)**2 - 3*((sqrt(243) + 0 - sqrt(243))**2 + sqrt(243)) - (3 + -3 + (-1*sqrt(243))**2 + sqrt(243))) + -2).\nAnswer: -216*sqrt(3) - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - -0.5.\nAnswer: 107.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230780 and 84920?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41904062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 2*q**4 - q**3 + 16 + 15 + 18*q**2 to f*q**2 + m + d*q + c*q**4 + t*q**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-986)\/15283 - 4450\/(-19964) - ((-88)\/46 - -2).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 22*r = 644. Let c = 103 - r. Let v(g) = 2*g**2 - 10*g + 20. Calculate the remainder when v(c) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*s**2 + 2*s**4 + 2 - 28*s**2 + 0*s**4 + s**4 + 0*s**4 + (0*s + 3*s + 0*s)*(0 + 0 + 2*s**3).\nAnswer: 9*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = 17. Suppose -44 = -w*c - 12. Suppose -2\/13*n**2 + 0 - 2\/13*n**5 + 0*n + 2\/13*n**3 + 2\/13*n**c = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6662.6 and -4.\nAnswer: 26650.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455151276 to the nearest integer?\nAnswer: 21334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o - 5*u = 438, -4*u = 3*o - 313. Calculate the greatest common factor of 856 and o.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13056)\/(-8) + 2 + -8. Suppose -69*m = 5*b - 65*m - 7985, h = b - 5*m. List the prime factors of b.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - 43. Let p be 0 - 4\/o*-6. Factor -4\/13*g**3 + 2\/13*g**4 + 0*g**2 + p*g - 2\/13.\nAnswer: 2*(g - 1)**3*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from jqooovqvqqqoooqoqo.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37575 is divided by 232?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) -6 (d) 0.38 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(272) + sqrt(17)) + sqrt(17) - (-1*sqrt(187))\/sqrt(11).\nAnswer: 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*f = -363*f + 5*a - 25, 0 = -5*f + 5*a - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*1.2551408\nAnswer: -0.012551408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 891*c**5 + 260*c wrt c.\nAnswer: 17820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3702492072 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 24*z**2 - 2*z + 1. Let j be 8\/72 - (-17)\/9. Let s be h(j). Is s\/((-9)\/(-3)) - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:23 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -112210222?\nAnswer: 112210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(9)\/sqrt(3)*2)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + 3*h + 3*h**3 + 10*h**2 - 5*h**3 - 12*h**2 to the form p*h**3 + d + c*h**4 + i*h**2 + a*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 944591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 813203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64269 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.15 (b) 452 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:21 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 15*p - 25. Calculate c(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000162131 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23000 is divided by 654.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 55*p**2 - 27*p + 4. Let w be d(-27). Suppose 2*h + w*f - 1592 = 0, 5*f - 794 = -h + 2*f. What is the greatest common factor of 100 and h?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 364, 3, -9, 35, -1 in ascending order.\nAnswer: -18, -9, -3, -1, 3, 35, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*w - 110 = -129*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o - 21. Let v be u(1). Suppose 3*j + v*d = 30, 6*d = -3*j + 2*d + 36. Solve 0 = p - 2*y + 7, 0*p + 2*p + j = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 702*n**2*s*v**3 + 13*n*s*v**3 - 7*n*v**3 - 2*s*v**3 - 2*s wrt n.\nAnswer: 1404*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r - x, 0*x = 4*x + 20. Let s be ((-1)\/(-10))\/((-72)\/60). Suppose 0 = -2*f + 5*j - 4, -2*f - f + j = 6. What is the closest to r in 3, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7806 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: What comes next: 1276, 2663, 4162, 5773, 7496, 9331?\nAnswer: 11278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-12)\/16). Let l(u) = 267718 + 5278138 - u**i - u**3 + 54144. Let n be l(0). What is n rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**2 + 52405*q + 104813. What is d(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 42. Is 1 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 56 = 4*z - 35, 4*z - 116 = 4*q. Suppose 0 = 3*k + 4*s - 13 - 23, -2*k = 3*s - z. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 12:47 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 730670399 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -70?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18174.606 - -17985.7. Let p = o + 194.2. Let m = p + -0.244. What is m rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 27 + -2 + -3. Solve a = 6*a + f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7199505?\nAnswer: 3, 5, 139, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -33*x**2 + 5*x + 46. Let h(s) = -17*s**2 + 2*s + 24. Determine 5*h(o) - 2*k(o).\nAnswer: -19*o**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59820 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27094 - -30?\nAnswer: -27064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-608)\/(2 - (-4 + 5 - 0)). Let z = o - -611. What is the greatest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/1 + -37)\/(-1). Suppose c*v + 44 = 45*v. Suppose 4*j + v = h - 10, -4*h + 2*j = -70. Solve -h - 3 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 9, -204 in descending order.\nAnswer: 9, 1\/6, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -848.28*-4\nAnswer: 3393.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (798\/(-28))\/(((-635487)\/(-158874) - 7) + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 19*b + 78. Give v(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 4*i - 2*i**4 + 0*i**3 - 2*i**2 - 6*i to y*i**2 + g*i**3 + w*i**4 + k*i + l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -592, -900, -1222, -1564?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.11 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5445?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.3 (b) -21 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/12 + 20*s**3\/3 + 14*s**2. What are the prime factors of d(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*s, -2*s - 29 = -2*m - 9. Calculate the greatest common factor of m and 545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 625\/(-15)*(-45)\/25. Let u be 2 + (25\/k)\/((-1)\/21). Let m(i) = i + 3. Let o(w) = w + 2. Let z(b) = -3*m(b) + 2*o(b). Let v(x) = -1. Give u*v(y) + z(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/25613 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -302, 7.\nAnswer: -302, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/1120*(7\/18 + -1)*(-94)\/517?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 25*n**3 + 2*n - 1. Let t be z(1). Suppose -t = -5*k - 2*c, k + 2*c = 5*k - 10. Suppose -k*y = 45 - 257. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 + 2788*n**2\/3 + 508640*n\/3 + 7860800\/3.\nAnswer: 4*(n + 17)*(n + 340)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a factor of 26636755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960*i**3 - 90*i - 299*i**3 + 91*i - 298*i**3.\nAnswer: -1557*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*s**2 - 18310 + 18310 - 1865*s**2.\nAnswer: -2281*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/60*5*(-288)\/(-416).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3046797 - -3.\nAnswer: 3046800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58664 is divided by 1725.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33742039*l**3*o - 6865*l**3 - l**2 + 3*l - 1 wrt o?\nAnswer: -33742039*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 2 - 2)*(2 - 1 - 2)*(-3 - 1 + 5) as z*n + o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 5*a - 45, 9*r - 106*a = -103*a - 81 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:37 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32382489 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137882 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 - 36*w**3 + 9*w**3 + 11*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-18)\/(-88)*(-1308)\/(-15). Let z = 725\/11 + t. Let h = -959\/8 - -120. Find the common denominator of h and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5602484203 take away 4638?\nAnswer: -5602488841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(0 - -3) - 27\/(27\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663 at most 2665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/13))\/o**(-4))**33 assuming o is positive.\nAnswer: o**(2112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (-3*sqrt(152) - sqrt(152))*-3)\/(sqrt(8) + sqrt(8) + (sqrt(8) - (sqrt(800)*2 + sqrt(800)))).\nAnswer: 11*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 1231\/10. Let j = 14103\/11 + -1281. Which is the second smallest value? (a) j (b) 3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/3 + 1192*s\/3 - 4832\/3.\nAnswer: 4*(s - 4)*(s + 302)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, 2, -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v. Let a be 12 + -5 - (7 + -5). Let h(t) be the second derivative of 0*t**2 - a*t + 0*t**3 + 1\/6*t**4 + 0. What is m(h(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0 - 5 + 5 - 5*a + 5*a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*f + 3*f**4 + 66*f**2 + 48 - 127*f**2 + 18*f**3 + 64*f**2.\nAnswer: 3*(f - 1)**2*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1228 divided by 1.\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and -0.35871?\nAnswer: 0.860904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*u + 5*s, 4*u - 38 = -0*s + 3*s. Let c be 1\/(-3 + 26\/u). Solve c*z - 2*m = 3*m + 8, 0 = -4*z + 4*m + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 241199.368 and 5.\nAnswer: 241204.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3 - 41710*f**2 + 93423205*f - 26331920360 = 0.\nAnswer: 328, 4007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 706264 + -42?\nAnswer: 706222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 939282481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 157\/419085?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) 4\/681 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = -3. Let t be 4\/(-14) + 204\/(-21). Let l = 15 + t. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 7780048.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 7 + -12 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z - 1. Let p be i(2). Suppose -5 + p = s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*b - 504 = 229*b. Sort -7, 5, b.\nAnswer: b, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50831\/28 + 7293\/4. What is the common denominator of d and -21\/26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 63\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 880055 and 1750.\nAnswer: 308019250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-10) + -3*(-4)\/30. Solve 2*r = -5*u - 1, 10 = -f*r - 2*u - 0*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80906279 to the nearest ten thousand.\nAnswer: -80910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 - 3*a + 1. Let q(o) = 2*o**2 + o - 1. Let g be q(1). Let x be b(g). Let l be -346 + 3 - (x + -2). Round l to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8182.915 nanometers to millimeters.\nAnswer: 0.008182915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3556746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.2, 41\/3, -5\/11?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-9)\/(-90))*(-7855)\/(-10)?\nAnswer: 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 57*l - 56*l - 75 = 7*k, 0 = 21*k - l - 0*l + 107 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282\/(-47)*(-132)\/36?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from hssshs?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120100032 (base 5) in base 10?\nAnswer: 550017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -116*d + 1\/12*d**4 + d**2 + 1 + 2\/3*d**3. Determine x(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1836 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 236 + (-5 - -5) + 6. Let x = 262 - u. Solve 2*a + 2*z = -4, 2*a + x = -2*a + 2*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -5, -14, -27, -44?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -333 at least -17.1762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 0.2, 0, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 0*s + 24 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 208?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -112210220020 (base 3) to base 14\nAnswer: -78353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v. Suppose -5*c - 1 = -5*r + 19, -3*r + 5*c = -18. Let m be b(r). Let h(u) = 2*u + 1. What is h(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjxs. What is prob of sequence xjs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -175*q**3*r - 45*q**3 + 1 wrt r.\nAnswer: -175*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 10) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 5 + 2*-2*(-664440035)\/(-28). Round i to the nearest one million.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(7\/4)*p)*p*p**25*p**(-2\/11)\/(p\/(p*p**(-1\/53))*p))**4 assuming p is positive.\nAnswer: p**(53751\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/5 - 686*p**3\/5 + 166116*p**2\/5 - 8839314*p\/5 + 1734777 = 0.\nAnswer: -885, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9678580 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 - 3 = 2*x, -3*f + 1 = -x. Solve -x*o = -3*y - 21 + 7, 3*y = -5*o + 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rojo when four letters picked without replacement from {o: 4, j: 9, r: 3}.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-856)\/(-44940)*15\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6579280?\nAnswer: 2, 5, 82241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + 5*r**2 + 2*r - 41. Calculate n(5).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 69. Let c = s - -46. Find the common denominator of c and (-2)\/(-8) - 234\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -l + 350, 0*l + 4*l - 4*u - 1368 = 0. Suppose 0 = -3*j - 3, m + 3*j = l. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/96 and ((15\/(-16))\/(-15))\/((-39)\/(-9)).\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*v - 44 = 0, 323*c + 5*v + 49 = 326*c. Let n(u) = -u**2 + u + 8. Give n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 244*m - 1122. What is z(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -6 + 35 + 18 + 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1798)\/13485*2*5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300)*2 + -2)**2.\nAnswer: -120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/44*(-227)\/1. Suppose g - w = 339. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1, 160, -11\/2.\nAnswer: -11\/2, 2\/21, 1, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4720 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -268\/15 (b) 1\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 6*d**2 - 7*d + 8. Calculate s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*(118 - -4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/21*3)\/((-9)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n + 3 = 0. Let w(i) = -2*i**3 - 4*i**2 - 4*i - 5. Is w(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*s + 2*o, 0 = -4*s - 5*o + 13 + 6. Let t(p) = p**2 - p - 26. Let g be t(s). Factor 4\/9*y**g - 2\/9*y**2 + 0 + 0*y + 2\/9*y**3.\nAnswer: 2*y**2*(y + 1)*(2*y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/32? (a) 0.3 (b) -0.3 (c) 0.034 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202251076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 349 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87.8 and 7.34854.\nAnswer: 645.201812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:32 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309695 + -441695. Round d to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 2. Suppose 451*g = 452*g + 9. Let l be -2*(g\/(-6))\/(21\/35). Let p(k) = -3*k - 5. Calculate l*o(j) + 2*p(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3311*z + 94. Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*a*x**3 + a*x**2 - 1152*x**3 + 92000*x**2 wrt x?\nAnswer: -96*a - 6912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 5 = 0. Let b(w) = 2*w + 3. Let p(i) = 11*i + 17. Let v(t) = -6*b(t) + p(t). What is v(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, e: 7, w: 4, u: 2}. What is prob of picking 1 w, 1 u, and 2 q?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*u + u - 0*u + 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83304988*h**4 - 62863829*h wrt h?\nAnswer: 999659856*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280552719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-2)\/((-18)\/9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11040 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 461 or 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 234218180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*g + 16 = 0, m = -137*g + 139*g + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - i**4 + 2*i**4 + (-i**2 + 3*i**2 + 0*i**2)*(-i**2 + 3*i**2 + 0*i**2) - 836*i**3 - 79*i**4 + 25*i**4 + 838*i**3.\nAnswer: -49*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2390244*h. Let g(k) = 125*k. Give b(g(z)).\nAnswer: -298780500*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37\/495 - -2\/55. What is the smallest value in 0.2, 4\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r + 11. Let i(t) = -31*t**2 + 2. Calculate b(i(l)).\nAnswer: 155*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 14*k - 9*k. Let d be (-51)\/((-15)\/6 - -4). Let x = -28 - d. Calculate the lowest common multiple of x and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 212.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30258, 30257, 30256?\nAnswer: 30255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 80*q + 0*q**4 + 27*q**2 + 0 + 9\/20*q**5 - 1\/6*q**3. Differentiate o(y) with respect to y.\nAnswer: 27*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12254 by 6127.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 592, 2396, 5398, 9598, 14996, 21592?\n\"Answer: 599*b**2 + 7*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**3 - 2*x**2 + 1. Let n be k(1). Let t be (-4)\/(-396)*n*-9. Suppose 6*g = 2*g, 2*f + 2 = -2*g. Which is bigger: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 6*w + 30 = 2*u, 8*u - 48 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, r: 2, p: 1, s: 1, f: 1}. Give prob of picking 1 d and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**2 + 3*p - 1. Let h be n(2). Let l be 2\/(2 - 0) + h. Let a = 57 + -51. Calculate the highest common factor of l and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 10. Let g be z(-7). Does 20 divide (0 - (2 + -59))*6\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379366 is divided by 344638?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-3)\/((-9)\/(-10)). Let p be -2*(-2 - 1 - -2). What is the second derivative of -b*k**2 + 11*k**p - 4 + 4 - 3*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8*y - 3*y = 246, -2*s + 5*y + 286 = 0. Let x = 241 - s. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4, 22, -3 in ascending order.\nAnswer: -4, -3, 0, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 v, and 1 i when four letters picked without replacement from {i: 2, v: 2, r: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 41 + 41 - 13*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.84 + 2285390621088\nAnswer: 2285390621088.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*u = 130*u - 236*u - 840 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*s**3 - 2*k**3*s**2 - 14305*k**3 - 5533*k**2*s**3 - 3698*k**2*s + 718*k*s**3 wrt s.\nAnswer: -6*k**3 - 33198*k**2 + 4308*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*2 + 63 + -5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxmxyxm. Give prob of picking 1 x and 2 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 + (-4)\/(-12). Let r be (-31)\/(3\/(-3) - h). Suppose -57 = -o + 5*b, 118 = 2*o - b + r. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 51030.96ml?\nAnswer: 51.03096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/30 - 55*w**4\/24 - 55*w**3\/6 + 80*w**2. Is 16 a factor of j(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 7*c**3 + c**2 - c**2.\nAnswer: -7*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(190)*-2 - sqrt(190)) - sqrt(190)) + (sqrt(190) - (-1*sqrt(190) + sqrt(190))*1) + sqrt(190))*-6)\/(-1*sqrt(1000)*5).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140\/3*q**2 - 5\/3*q**3 + 1100\/3*q + 38720\/3 = 0. Calculate q.\nAnswer: -22, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, p: 2}. What is prob of sequence spps?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 73. What is the biggest value in s, -4\/3, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11901 is divided by 3922?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 10) in base 2?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-51)*210357\/(-30348). Let k = -2\/281 + o. What is the common denominator of k and 75\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.102 and 0.5.\nAnswer: 14.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 582\/4171*430\/15. Let i(x) = -x**2 - 4*x. Let b be i(-3). Let u(t) = -4*t**2 - 3 + 3*t**b + 7*t**2 + 4*t - 4*t**3. Give u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4747 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16683 and 1017462?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 70*r - 20. Let i be m(6). Suppose 0 = -a + 4*o - 136, 5*a - 4*o + i + 296 = 0. What are the prime factors of (-4 + a\/(-25))*30?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 10 - 0 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6644 and 2.\nAnswer: -13288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -h - 22*c + 19*c, -74 = 5*h + 3*c. Suppose 0 = -3*u + 6, 3*d - 3*u = -0*u. Let z be ((-6)\/d)\/((-24)\/h). Sort 1, z, 4 in descending order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a decade?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 1. Let a = -14 + d. What is the tens digit of 22 + a\/(-2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*13\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40780, 81565, 122350, 163135, 203920?\nAnswer: 244705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2367 - 1426342*d - 2367.\nAnswer: -1426342*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2077.1533.\nAnswer: 2077.1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/((-1)\/10). Suppose 0*p = -c*p + 68. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-15))\/((-4)\/(-180)). Let s be (20\/(-30))\/((-4)\/n). Solve s = 3*q - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let j(u) = -5*u - 4. Let r = 82 - 81. Determine r*j(f) - 4*g(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 693, 1056, 1431, 1818, 2217, 2628?\nAnswer: 3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (23 - 16) + 7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-896)\/12320*(-5)\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-70) - 36\/14. Let x(o) = 0*o + o**2 - o - 1 + 4*o + o**3 - 4*o. What is x(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k + 4 = 0. Let o(b) = -4*b + 1. Let r be 3\/(-6)*-7*-6*-1. Let d(a) = -23 + 2*a - a + 4*a + r. Give k*d(p) - 3*o(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5733 - -0.4.\nAnswer: -5732.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2258 divided by 5.\nAnswer: 2258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1330 by 133.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 2, v: 2}. Give prob of sequence iiov.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2\/3, 4, 0.01, 1982?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 27*y**4\/5 - 1047*y**3\/5 + 5598*y**2\/5 + 8208*y\/5 + 1536\/5 = 0.\nAnswer: -1, -2\/9, 8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + (6*(sqrt(1539) + 1 + sqrt(1539) + sqrt(1539)) - (-2 + sqrt(1539)*2))*-6 + 4)**2.\nAnswer: 69120*sqrt(19) + 14185024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h - h - 4)*(82 - 27 - 22).\nAnswer: 66*h - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -52\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797330, 797297, 797264?\nAnswer: 797231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - 4*b**2 - b + 4. Let p be l(-2). Is (254 + -3)\/(2\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/204 and -139\/60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/183*(-504)\/588.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 62*i**2 + i. Let v(o) = 496901*o. Give v(s(a)).\nAnswer: 30807862*a**2 + 496901*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + -3*((sqrt(640)*-2 + sqrt(640) - sqrt(640) - sqrt(640))\/(5*(sqrt(32) + sqrt(8))) + -1)).\nAnswer: 12 + 48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 50 = -314. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -353, -453, -497, -431, -201?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:41 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**4*r*r*r**(-2\/3)\/r)\/((r\/(r\/(r*r**(-4\/3)*r)))\/(r**(-1)*r*r)) assuming r is positive.\nAnswer: r**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661937 is divided by 12978.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = -0*b. Let a = b + 6. Suppose 4*x - 18 = 2*v, 2*x + 2*x - a = -v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - -13 - (22315 - 22299)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i + 73. Calculate the remainder when r(-4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 668*z**2 - 1324*z - 24 = 0.\nAnswer: -3\/167, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(j - 4*j + j)*(-4*j**3 - 9*j**2 + 9*j**2).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143762 a multiple of 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 2, -23 in descending order.\nAnswer: 2, -23, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4212 divided by -13?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**3 + 14 - 9*x**2 + 5*x**2 - 5*x**2 + 22*x - 9*x**3. What is the hundreds digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10231301123 - -3?\nAnswer: -10231301120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93544 + 280760\/3. Factor c*y + 8\/3 - 1331\/6*y**4 + 220*y**2 + 968\/3*y**3.\nAnswer: -(y - 2)*(11*y + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(561)*2)\/sqrt(11))\/sqrt(243).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1047? (a) -0.5 (b) 28 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8 = -4*b, -12*b + 12 = -3*y - 7*b. Let r(f) = -15*f + 10. Give r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 88. Suppose 3*t + 0*t = -3*f + 6, -2*f + 16 = -t. Calculate the smallest common multiple of f and d(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6818, 13599, 20366, 27113, 33834, 40523, 47174, 53781?\n\"Answer: -m**3 - m**2 + 6791*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) 0.4 (c) 5 (d) -9\/58 (e) 2\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7.689221l to millilitres.\nAnswer: 7689.221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 274617.\nAnswer: 1098468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h*m**5 - 2*h*m**2 - 21*h + 100*m**5 + 31*m wrt m?\nAnswer: 100*h*m**3 - 4*h + 2000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010000101101001 + 1010001?\nAnswer: 11110010000110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -31*l + 100. Let c(d) = -38*d + 101. Determine 6*b(r) - 5*c(r).\nAnswer: 4*r + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*i + 351 + 3081. Solve i*w - 67*w = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395 (base 12) to base 2\nAnswer: 1000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4938753341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -3.75102.\nAnswer: 1.500408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82512108 and 3024.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2. Let k(r) = 13*r**2 + 1. Let j(z) = 768*z**2 - 24. Let l(q) = j(q) + 24*k(q). Determine o(l(a)).\nAnswer: -2332800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 2, s: 1, t: 1, i: 7, u: 5}. What is prob of picking 1 r, 2 u, and 1 x?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10121201110 (base 3) to base 15.\nAnswer: -16193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40465338.1 to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218465*y**2 + 218465*y**2 + 813*y + y**3 + 814*y - 1627*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2436 divide 21814380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11620.5455 to the nearest ten.\nAnswer: 11620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 132 - 16 = 0. Let k(p) = p**2 + p + 1. Let y be k(0). What is the remainder when h is divided by (5 - y) + 14\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 12:27 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 255*i + 240. Let x(f) = -67*f**2 - 48 + 24*f**2 + 21*f**2 - 51*f + 21*f**2. Let c(b) = -2*o(b) - 11*x(b). Factor c(g).\nAnswer: 3*(g + 1)*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3059)\/(-3857)*464\/16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from rufrrufrrulvlzr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2756*i**4*l**2*v - 3*i**4*v - 7*i*l*v + 100*i*v - l**2 wrt i.\nAnswer: 33072*i**2*l**2*v - 36*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-60)\/(-27) + 1. Which is the second smallest value? (a) 1\/4 (b) j (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-87)\/15 + (-3)\/15. Calculate the smallest common multiple of 10 and i*(-2 + (-2)\/(-3)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let k = d - -2. What is the second derivative of -2*t**4 + k - 5 - 2*t wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395957250 and 11700.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525336.\nAnswer: 2, 3, 7, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 + (-35 - -33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:54 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/8, -0.2, 1023\/8 in decreasing order.\nAnswer: 1023\/8, 5, 3\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 4 - (2 + 0). Suppose -4*p + 12 = -4*w - l*p, -2*p - 3 = w. Calculate the remainder when 25 is divided by (w\/9)\/((-4)\/156).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-30) + ((-46)\/(-21) - (-6)\/42). Let r(m) be the second derivative of 0 - 5*m**2 - 7*m - 5\/2*m**y. What is the derivative of r(i) wrt i?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7*f - 27 = 3*f, -5*n + 5*f = 0. Let d be (-1)\/(-1 + 2)*-3. What is the second derivative of 4*w**3 + 6*w - 12*w - n*w**d wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -9. Suppose -p = -2*m + r, -4*m - 8 = -4. List the prime factors of (36\/p)\/((-27)\/252).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = s. Suppose -s*f - 10 = -10*f. Suppose 1150 = 7*z + 1143. Is f not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 - t**2 + 1. Let n be c(-1). Let s = 10 - 30. Calculate the common denominator of 2\/n*332\/s and -19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l - 2. Let u(k) = -3*k - 16. Let d be u(-7). Suppose 5*p + 3*q - 18 = d*q, 3*p - q = 11. What is the third smallest value in 0, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 5.\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1612091905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101100000000001111 + 11?\nAnswer: -111101100000000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) + 188\/36. Suppose -3*b = -2*b - 3*v, -3*b + 14 = 5*v. Suppose -5*l - 15 = 0, 3*d + 1 = l + 4. Solve -x*n + 26 = -b*t, t + 2 = -d*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18180264?\nAnswer: 2, 3, 19, 39869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/8))**8*k**(1\/3)*k**(1\/5) assuming k is positive.\nAnswer: k**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, -5, 0.1, 0, 5599, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 - 240. Let f(u) = u**2 + 6*u + 6. Let q be f(-5). Let d be 3\/q - b\/(-2). Solve -4*v = y + 4*y + 8, -d*y = 3*v + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -41760.\nAnswer: 41759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*y - 20314 = -5*q - 449*y, 8092 = 2*q - 4*y. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -303, -3\/13?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (27\/9)\/((-9)\/24*2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 159408.\nAnswer: 23\/39852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3698, -6, -1 in ascending order.\nAnswer: -6, -1, 1, 3698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*h + 16*h = 109*h - 2320 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52705, 105420, 158135, 210850, 263565?\nAnswer: 316280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -d + 2*q + 9, 0 = 4*q - 4. Suppose -7 = i - 2*i. Let j be i\/((-2)\/3 + 1). What is the highest common factor of j and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a8a8 (base 11) in base 3?\nAnswer: 201202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*6\/(-147))\/((-6)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13451 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-38)*l)*l\/(l**(19\/2)\/l) assuming l is positive.\nAnswer: l**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10020473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 - 1 = 0. Suppose 4027 = 4*r + a*n, -4*n + 7*n = -4*r + 4021. Suppose r = 5*l + 4*o, 0 = o + o - 4. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1300202220 + 100330?\nAnswer: -1300101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -37. Suppose 102 = -2*u + a*u. Suppose -4*m + 0*o + u = 3*o, 2*o - 8 = -m. Solve 0 = -v + 4*l + 7, m*v + 5*l + 6 + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**2*f**2 + 33*b**2*f*q - 224*b**2*q - b**2 - 96*b*f**2 - b*f*q + 2*b*f - 2*b*q + f**2*q - 2 wrt b.\nAnswer: -10*f**2 + 66*f*q - 448*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -18524601 and -18524600 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 57*l**3 + 33*l**2 + 33*l. Let f = 249 + -216. Let s(c) be the third derivative of 7*c**6\/120 + c**5\/15 + c**4\/6 - c**2. Calculate f*s(g) - 4*j(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.69 + -4.9. Let n = 0.2099964 + q. What is n rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2172 + 2176. Solve -k*l + 10 = 2*w + 3*w, 4*l + 3*w = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 2*c**4 + 2*c**5)*(-7 - 34 - 40) + (1 - 1 + c**4)*(0*c + 5*c - 4*c) - c**5 + 4*c**5 - 2*c**5.\nAnswer: -160*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(2) + (1*sqrt(2) - sqrt(2)))**2 - sqrt(2)) + -5) + 5 + 0)*1.\nAnswer: -13 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004050477724 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 + (3 - 3))) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690585472.\nAnswer: 2, 5395199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41575 is divided by 586.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-2)\/(3 + -1)). Let r be 4117\/(-44) - 12\/66. Let q = r + 3359\/36. What is the nearest to 0 in q, -2\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 13. Let q be d(6). Suppose 8 = q*t - 5*t. Suppose -j + 5*j = 2*l + 150, -5*j = t*l - 194. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 7799*x**5\/60 + 261*x**3 - 1471*x**2 + 2*x. What is the derivative of n(z) wrt z?\nAnswer: 15598*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 131*q**2 - 7*q - 1. Let x(w) = -2*w. Determine a(x(c)).\nAnswer: 524*c**2 + 14*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*3)\/(30\/40). Let d = o - -13. Suppose -4*i = -d*i + 15. Solve 2*j - 4*w = w + 19, i*w = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004055993 to four decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 i when three letters picked without replacement from {h: 1, i: 1, u: 2, n: 1, k: 1, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 8*o**3 - 13*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 5*j + 5 - 11 - 3*j.\nAnswer: 2*j + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1568268 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 minus -0.0168?\nAnswer: -216.9832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8007777*y + 12243047 wrt y?\nAnswer: -8007777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 28. Suppose 0 = 3*b + 6, -3*w - 7 = 2*b + 27. Let t be o(w). Suppose 8*m = t*m + 144. Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1\/3*y**3 - 1 - 7\/2*y**2 + 3*y. Calculate i(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11578 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:56 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114136 minus 137?\nAnswer: -136.885864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 9\/2*x**2 + 1 + 1\/3*x**3 - 47*x. Calculate r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 88\/(-154)*-71*7.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.5. Suppose -14 = 3*h - 5. Put h, l, 0.5 in descending order.\nAnswer: 0.5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 651947514 to the nearest one million.\nAnswer: 652000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrcrcr. Give prob of picking 1 c and 2 r.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-290)\/(-3915))\/((-9)\/(-1944)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 55 - 4*z)*(16 + 26 - 62).\nAnswer: 80*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgeppzp. What is prob of picking 1 p, 1 z, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1320410984 to 4 dps.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzsrban. Give prob of picking 1 z, 1 r, and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.6 + -28. Let y = 3.7 - 1.7. Let p = 4 - y. Which is the nearest to p? (a) v (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(99) + -1*sqrt(99))**2 + (sqrt(99) - (sqrt(99) + sqrt(99) + -2)) + -4 + 3 + ((-2 + sqrt(99))*6)**2 + -1.\nAnswer: -435*sqrt(11) + 3713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5893678280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.616 minus 1960.62661?\nAnswer: -1457.01061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 1255*z - 1252*z + s, -4*z + 3*s - 26 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -20*i**2 - 652*i + 13961. Calculate o(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 + 5*f - 3. Let b be w(3). Suppose 4*i - 268 = 2*v, 5*v + 196 = b*i + v. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3744 divided by 52?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*j = -0*y - 6, y + 9 = 4*j. Let l = -12 - -8. Let t be 8*(-2*1)\/l. Solve 0 = -3*q + t*c + 11, -y*c = -2*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47 - -d4?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*r = 9, 0 = 3*v + 3*r + 2*r - 9. Suppose 0*w - w - 22 = -j, -v*w - 76 = -j. Let d = -20 + -9. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2703 (base 10) to base 8\nAnswer: 5217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (-14 + 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103321488 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002564 rounded to 7 dps?\nAnswer: -0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-1 - 1))\/(-1). Suppose 12 = 5*j - v. Solve -2 = 5*c - j*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9912 rounded to 1 dp?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/4 - 27*w**3\/4 - 99*w**2\/2 - 8*w + 672.\nAnswer: -(w - 3)*(w + 8)**2*(w + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222031212 (base 5) to base 10.\nAnswer: -970807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 954819498 to the power of 1\/2, to the nearest integer?\nAnswer: 30900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -658, -984, -1308, -1630, -1950?\nAnswer: -2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:27 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*g + 68, 11 + 60 = -4*g + 5*m. Let x = -12 - -15. Find the common denominator of (41\/x)\/(g\/9) and -31\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 682 - 352. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107406866?\nAnswer: 2, 7, 227, 33797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 137 + 17. Let y = k + 5. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2427 - -310?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 8749 (c) -0.04 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -24 in decreasing order.\nAnswer: 7, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y**1*y)\/y)\/y)\/y)**4)**14*y**(-2\/13)\/y*y\/(y*y*y*y*y*y*y\/(y*y*y\/y**(-2\/7)*y)*y*y)*y\/(y*y\/y**(-1))*y**(-5) assuming y is positive.\nAnswer: y**(-1080\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -94. Let h = o - -82. Calculate the lowest common multiple of 3 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/7 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -4.4, -3 in descending order.\nAnswer: -2, -3, -4.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126747248 - -10.\nAnswer: -126747238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -32, -41?\n\"Answer: -9*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Let p = -13\/4 + 15\/4. Which is the closest to p? (a) 1\/6 (b) 2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1342?\nAnswer: -1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 211601783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 207 - 199. Suppose -2*c = -3*c + 18. Solve 0 = -g*n + c - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002020011220 - 1?\nAnswer: -10002020011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*n**2 - 7*d**2*n - 246*d**2 - 7*n wrt n?\nAnswer: 2*d**2*n - 7*d**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2)*w))**(-3\/11)\/(w*w**(-1))**(1\/4) assuming w is positive.\nAnswer: w**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a week?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7890)\/1575 + 5)\/((-3)\/(15\/(-4))). Which is the fourth biggest value? (a) -1 (b) -5 (c) t (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f + 1384. Give a(-108).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(200) + (0 + sqrt(200))*-5 + 1 + sqrt(200) + -1)**2.\nAnswer: -360*sqrt(2) + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 5, 3, -1 in decreasing order.\nAnswer: 5, 3, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.51 - 0.09. Let k = 1.71 + u. Let v = k + 0.81. What is v rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296079 at least as big as 296079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and -10486.8021?\nAnswer: 10500.8021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*k**2 - 366*k**2 - 7*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 1559*a**3 - 36788*a**2 + 79820*a.\nAnswer: -a*(a - 2)*(a + 26)*(a + 1535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156980 divided by 12.\nAnswer: 96415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9953 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1431*w**3 + 2*w**2 + 18*w.\nAnswer: 8586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25639 smaller than 25641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42713353*g**2 + 3213472 wrt g?\nAnswer: 85426706*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 3*u + 4*u)*(4 + 2 - 4)*((-1 + 1 - 3)*((5 + 3 - 3)*(-4 + 3 - 1) + 1 + 2 - 5 + 1 + 1 + 4) - 20 + 23 + 12) to the form y + l*u and give l.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 8107.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.10577 + 0.03168. What is v rounded to 3 decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/246 and -181\/30.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n + 3. Let d be p(4). Let k(q) = q. Let b be k(-1). Let m = d + b. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 <= 800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 774560 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-6) + -1)*-9. Let c be 4\/12 - (-1)\/n. Suppose -4*u + 73 + 43 = c. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 17. Let w(s) = s + 9. Let c(m) = 6*j(m) - 11*w(m). Suppose 3*i = 4 + 2, -3*r = -5*i + 22. Let k be c(r). Is k >= -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(2\/3)\/j*j*j)\/((j\/(j\/((j\/((j*j**2)\/j))\/j)))\/j))\/((j\/((j*j**(-4)\/j)\/j)*j)\/j**6) assuming j is positive.\nAnswer: j**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2213849\/1250160 - -1\/52090. Let b = 19\/48 - h. Let v = 96 - 695\/7. What is the common denominator of b and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 8*z. Let x(m) be the second derivative of -m**4\/6 - 23*m**3\/6 + 3801*m. Determine -8*v(o) + 3*x(o).\nAnswer: 2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**2 - 1\/12*l**4 + l**3 - 28 + l. What is the second derivative of i(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 66\/9187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1364*3.502\nAnswer: -0.4776728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:22 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -71. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, l: 2}. What is prob of sequence rlrr?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 247\/5*m + 49\/5*m**2.\nAnswer: (m - 5)*(49*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-7))\/(w**(9\/7)\/w))\/(w**4*w\/w**(-1\/5)))**1)**(-8\/7) assuming w is positive.\nAnswer: w**(-704\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1179, 1171, 1159, 1143?\n\"Answer: -2*n**2 - 2*n + 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (98\/147)\/((-3)\/(27\/2)). Let j be o*(4\/(48\/28))\/5. Let b be (-8)\/(-28) - 9\/7. Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.242 and 105.\nAnswer: -25.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2232*j. Let p(w) = -11*w + 3. Let r(k) = 32*k - 9. Let n(s) = 3*p(s) + r(s). What is c(n(f))?\nAnswer: 2232*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o**3\/9 - 94*o**2\/9 + 34*o - 20.\nAnswer: 2*(o - 6)*(o - 5)*(4*o - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*i + 13. What is the smallest common multiple of 318 and i?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*t + 3937470 + 159908 = 0. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 14782*v + 88764.\nAnswer: -2*(v - 7397)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6275680 + -11275680. Round a to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:33 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30247, 55026, 79805, 104584, 129363, 154142?\n\"Answer: 24779*v + 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/(-30))\/(12\/(-16) + 2). Let f = 7.76 + -0.76. What is the second biggest value in f, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 75388\/7, -2\/11 in increasing order.\nAnswer: -2\/11, 5, 7, 75388\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 372450691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14707421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 118, 255, 338, 337, 222, -37?\n\"Answer: -5*z**3 + 3*z**2 + 163*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + 3 + 6 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-448)*(-5)\/(-56475)*172506. Let w = m - -2\/1757. What is the common denominator of w and -37\/25?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(13)*2))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d\/d**(1\/9)))*((d*d**(-4))\/d)\/d*d**(-2\/5)*d**(2\/5) assuming d is positive.\nAnswer: d**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 7659021*h**2 - 367638192*h + 4411679040.\nAnswer: 3*(h - 24)**2*(h + 2553055)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -114440421?\nAnswer: 114440421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 11:55 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**3 + 10*p**2 - 19*p + 26. Let h be z(3). Which is smaller: h or -116?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141617897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-10)*10\/4. Suppose -3*c - 2*c + m = -435, w*c = 2*m + 182. Let t be (-6)\/21 - c\/(-7). Solve -r + 5*h - 19 = 0, -h - t = -5*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142250.\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 563 and 10045609?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*l + 2*x - 2, 0 = -5*l + 4*x - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12004\/8 - 4\/16*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -219579 (base 12) to base 8.\nAnswer: -2024355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1104 and 34.\nAnswer: 18768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and 0.1683988?\nAnswer: 5.7255592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -841755*-473\nAnswer: 398150115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 13, -13, 3, -3 in descending order.\nAnswer: 13, 3, -2, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*f**4 + 34*f**3 - 2*f**2 - 16*f - 71 wrt f?\nAnswer: 240*f**2 + 204*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 3751773.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btttabtssffutfutf. Give prob of sequence bs.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00370101641 to six decimal places.\nAnswer: 0.003701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -455.4\nAnswer: -455.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -17, -52, -103, -176?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23a2b79 - -3?\nAnswer: -23a2b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2109*d**3 - 2200*d**2 + 27203209*d - 27203209*d wrt d?\nAnswer: -12654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5.8. Let x = 369\/7 + -53. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 3:49 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -10, -45, 1, -5, -16, -2.\nAnswer: -45, -21, -16, -10, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4 + -3 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrcrmrcrqmqrrrr. What is prob of sequence qm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.7. Let g = -72 + 141\/2. Sort 1\/7, n, g.\nAnswer: g, n, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*x - 7, 4*s - 12*x - 19 = -13*x. What is the biggest value in 0.2, s, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 2*c - 2*g = 11*c - 25, -2*c = 6*g + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/55)\/(6\/51))\/(20\/10)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + p**5 + (2*p - 2*p - 2*p)*(1 - p**4 - 1) + p**5 + 4*p**5 + p**5.\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 89\/3. Which is the second smallest value? (a) 12 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56559642, 113119287, 169678932?\n\"Answer: 56559645*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2588 and -0.4.\nAnswer: 1.70352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t - 9007. Determine g(92).\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5843570451271 plus 0.5?\nAnswer: 5843570451271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2)\/w*w)\/w**2 assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 801*p + 10. Let z(c) = -c - 28. What is y(z(x))?\nAnswer: 2*x**2 - 689*x - 20850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (737 + 3)*-2*(-10)\/5 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:45 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -149*n**5 - 10*n**2 + 4*n - 855. Let y(s) = -223*s**5 - 16*s**2 + 6*s - 1282. Let i(g) = -8*d(g) + 5*y(g). Find the second derivative of i(z) wrt z.\nAnswer: 1540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5. Let p(m) = -m**3 + 9*m**2 + 2*m - 3. Let b be p(9). Suppose 0*l = 3*l + b. Let k be x(l). What is the highest common factor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7658831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 11798600 to the nearest 100000.\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 123 = 39. Suppose -h - 15 = 2*b. Suppose 1062*l - 656 = 1103*l. Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 1. Let c be 3 - (2 + -3)*-6. Does 4 divide m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000570770247 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1625 and 390.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and 3.4?\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(0 + 3 - 1) + 3 + 2 - 6)*(2*t**2 - t**3 - 2*t**2).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(833)*-2)**2.\nAnswer: 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*5*(-10)\/(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/7 - 1416*m**4\/7 - 5706*m**3\/7 - 2868*m**2\/7 + 5703*m\/7 + 612 = 0. Calculate m.\nAnswer: -3, -1, 1, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -257, -276, -313, -374, -465, -592, -761?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/6 + 13*q**3\/6 - 9*q**2\/2 + 15*q. Let g(z) = z**2 + 6*z - 4. Determine -13*g(i) + 6*n(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (0 + 2) - (-4538 + 4496)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + -12 - (23 + -27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 975, 1031, 1129, 1293, 1547, 1915, 2421?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 30*b**4 - 257823*b**3 - 489939*b**2 - 283662*b - 51576 = 0?\nAnswer: -1, -1\/2, -2\/5, 8596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100101101000 (base 2) to base 9\nAnswer: -3265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73276 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - p + 1. Let y be k(1). Let s(q) = q**2. Let x be s(y). Suppose -x*t = -2*t. Solve -5*r - 2*a = -t*r + 17, 4*r - 4*a + 8 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 8. Let r be q(-8). Suppose -27 = 5*w + 4*u, -4*w + 3*u = 2*u + 30. Let n be 28\/6*(-36)\/w. Solve p + 20 = -4*t, r*t + n = -2*t - 4*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(sqrt(132) + sqrt(132)*-2 + sqrt(132))*6)\/(2*(sqrt(12) + -4*sqrt(24)\/sqrt(2) + (-1*sqrt(432) - sqrt(432) - sqrt(12)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 309, 9, -0.1372, 2\/11 in decreasing order.\nAnswer: 309, 9, 2\/11, -0.1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**28)*q*q*(q*q\/(q**(-2\/51)*q))\/q)\/(q**(-21\/5)*q\/((q\/(q*q**(-28)*q))\/q)))**(2\/3) assuming q is positive.\nAnswer: q**(1652\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31113 + -2130?\nAnswer: -33243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 699605?\nAnswer: -699601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/385 and -21\/1541485.\nAnswer: 10790395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, -5, -4, 0, -162216 in ascending order.\nAnswer: -162216, -5, -4, 0, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-8)*s)\/(s*s**2))**(-23))**(3\/4) assuming s is positive.\nAnswer: s**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2 - 3. Let p be f + 3 - (0 + 0). Solve -q - p*q = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v. Suppose v + 27 = -s. Let x = 66 + s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1421374762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.08, -13\/5, -1, 0.5.\nAnswer: -14, -13\/5, -1, -0.08, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-195)*(1224\/51)\/48.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(1\/2)*-6 is divided by (-1)\/(8\/(-22)) - 2\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3 = -n, -5*n = -5*q - 3*n - 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*v + 22*v - 9*v.\nAnswer: 146*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 7*k + 4. Let z be g(-7). Solve -z*c = 3*w, c - 4*w = -w - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 28*p**2 + 24*p - 56. Calculate o(-27).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6c1 (base 14) to base 12\nAnswer: -941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068.591ng in tonnes?\nAnswer: 0.000000000002068591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18084\/(-176))\/137)\/((-2)\/64).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y + 43*y - 3458602*y**3 + 3458529*y**3.\nAnswer: -73*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -70\/70767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.3, -22, -2\/5 in ascending order.\nAnswer: -22, -2\/5, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 1056\/80)\/((-3)\/30). Let b be (-4)\/14 - 822\/14. Let h = k - b. Calculate the greatest common divisor of h and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*f - 32, -4*f + 67*s + 65*s + 36 = 129*s for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 3*r**2 + 3*r - 2. Let j be t(-5). Suppose b + g - 4 = 0, 4*g - 11 = -3*b + 4. Find the common denominator of 1 - (j\/5 - b) and -52\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124c9 (base 15) in base 3?\nAnswer: 2222012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -90. Suppose -3*h + 3*z - 4 = -p, -3*h + 22 = -4*z. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 * 22.7078\nAnswer: -0.2952014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16238, 16241, 16246, 16253, 16262, 16273, 16286?\n\"Answer: q**2 + 16237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.11, 7, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -524 + 523.59. Let p = -0.51 - t. What is the nearest to 11 in p, 1\/7, -1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -112*c - 2. Let v = -32 - -37. Let i = v + -6. Calculate the remainder when t(i) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1279, 5084, 11405, 20236, 31571, 45404, 61729, 80540?\n\"Answer: -l**3 + 1264*l**2 + 20*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 3253*l**4\/4 + 5*l**2\/2 - 22*l - 5401. What is the second derivative of a(s) wrt s?\nAnswer: 19518*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + sqrt(80) + 3 - sqrt(80) - sqrt(80)))**2 - (sqrt(180)*2 + sqrt(180))\/(sqrt(44)\/(sqrt(33)\/sqrt(3))).\nAnswer: -57*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x - 3. Let b(k) = 7*k. What is b(d(f))?\nAnswer: -105*f - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.049 from -25421.\nAnswer: -25421.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.86919 and 234.\nAnswer: 233.13081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-864))\/((-4)\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27608952 divided by 4143?\nAnswer: -6664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458438981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -74*i. Let s(z) = -12666*z**2. Give s(w(p)).\nAnswer: -69359016*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 9015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/960 + 211*f**5\/480 + 431*f**4\/64 + 651*f**3\/16 - 7*f**2 + 180*f. Factor a(k).\nAnswer: -(k - 217)*(k + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4987, -4985, -4969, -4933, -4871?\n\"Answer: c**3 + c**2 - 8*c - 4981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s**2 - 6*s - 3. Let k(j) be the first derivative of -3*j**3 + 0*j**2 - 6*j - 44 + 2*j**2 + 0*j + 8*j. Give 5*g(a) + 8*k(a).\nAnswer: -2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (249 + -249)*(0 + (-3)\/6). Let f = -3.93 - 0.07. Which is the second smallest value? (a) 0.24 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/(o*(o*o\/(o*((o**(-8)\/o)\/o*o)\/o)*o)\/o))**(-17\/3)*((o\/o**(-3))\/o)\/(o*o**(-1\/4)*o)*(o*o*o*o*o\/o**(-1\/4)*o)**(-18) assuming o is positive.\nAnswer: o**(-1063\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1412 divided by -353.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-4 + sqrt(84) + (2*sqrt(84) - sqrt(84))*-1)\/(2*4*sqrt(432)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3852*n**2 + 350*n - 1660. Let f(t) = t**2 - 50*t. Let p(h) = 14*f(h) + 2*u(h). Differentiate p(j) wrt j.\nAnswer: -15380*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 5, 7, 5.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:19 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 20\/(-7)*105\/480*-24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -346 in -2, 2\/29, 0.3, -2\/13, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380648525.\nAnswer: 5, 15225941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2730, -5782, -8820, -11838, -14830, -17790, -20712, -23590?\n\"Answer: b**3 + b**2 - 3062*b + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1270880 and -7\/125054592?\nAnswer: 625272960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*i**3*p - 6475*a*i**3 - 3*a*i**2 + a*i*p - 114*i**3*p + 5*p wrt p?\nAnswer: -2*a*i**3 + a*i - 114*i**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 77 = 8*x. Suppose -9*b + 8*b = -x. Calculate the smallest common multiple of b and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.47 - -6. Let r = s + 0.5. Let v = r + 0.97. What is the closest to v in -2, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -11*b**4\/4 - 8*b**3\/3 + 23. What is the third derivative of i(t) wrt t?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 0, -2 = -2*u - 4*v + 10. Let m(g) be the third derivative of 0*g - 1\/60*g**u + 0 + 8\/3*g**3 - g**2 + 1\/5*g**5 - g**4. Factor m(z).\nAnswer: -2*(z - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -d - 6*c + 69, 0 = -3*d - 5*c + 227. Let a = 82 - d. Factor 70*z + 3*z**2 - 115*z - 5*z**a - 33*z**2.\nAnswer: -5*z*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/((-1007)\/1463) + 40 - 22.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*t - 1)*(0*t - 2*t + 3*t - 9*t - 22*t - 7*t + (3*t - t + 0*t)*(-2 - 1 + 5) + 2*t - t + 0*t) + 0 + t**2 + 0.\nAnswer: 97*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 767*p - 771*p + 4, 2*g = -p + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = 3. Suppose -5*x = k - l*k - 19, -3*x = 3*k - 3. Factor 5*j + j**2 - j**4 + 0*j**x - 4*j - j**3.\nAnswer: -j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 848346 by 424173.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 89342344 times 3\nAnswer: 268027032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*f, 2*f + 6 = -o + f. Let x = 7 + o. Suppose 3*z - 1477 = -3*h + 68, -x*z + h + 1565 = 0. Round z to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 5*l + 2. Let f = 59 + -53. Let j be b(f). Solve -t = -0*s - s + 8, j = -3*s - 5*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y**2 - 3*y**2 - 11*y**3 - 33*y**2 + 38*y**3.\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 101 - 70. Let x = m - 21. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 5 (c) 12.579\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-5))\/(1\/5). Suppose m*a - 5*a + 78 = 0. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 64*g - 84 = 45*g, 5*g = -4*h + 7*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 - 201 - 158 + 52 - 475)*(2*s + 0*s - 3*s).\nAnswer: 871*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9) - 587293\/9. Let k be 698\/2*(1 + -6). Let a = q + k. Round a to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -29*x - 64. Let t(k) = 86*k + 192. Let y = 36 - 34. Let a(w) = y*t(w) + 7*r(w). Is 23 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -382 - -380. Which is the fourth smallest value? (a) 0.4 (b) 5 (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009817 to 7 dps.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103530 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19504 - 2271 = 19*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 - 67*v**2 - 33*v + 124. What is the units digit of h(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126 a factor of 161703385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) -2 (c) -0.2 (d) 89 (e) 1\/194 (f) -2\/15 (g) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 15 + 4*w)*(26 - 24 - 20)*(3*w + 0*w - 2*w) in the form b*w**2 + n + d*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/48 and -55\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*w**4 + 32*w**3 + 5*w**5 - 167*w - 2*w**5 + 167*w + w**5 + 16*w**2.\nAnswer: 4*w**2*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 + 2*g. Let p(w) = 16*w**2 - 11*w. Suppose -14 = 3*i + 364. Let v be (-15)\/(-10) + i\/(-4). Give v*n(l) + 6*p(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*w = 162*w + 31328. What is the highest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -1)\/(30\/8130)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6286, -10, -1 in decreasing order.\nAnswer: 6286, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/(d\/(d**(1\/6)*d)))\/d**(-6\/7))**(-8) assuming d is positive.\nAnswer: d**(-844\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 636644617 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 9, h: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003412918652 to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let z = -2\/87 + 11\/58. What is the closest to i in z, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*t + 44. Calculate the greatest common divisor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + n = -138, -k + 5*k - n = 110. Find the first derivative of 8 + 4 - 14*c**2 - 12*c**2 + k*c**2 wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*c**4*v**3 + 4*c**3*v**3 - 144*c*v**3 + 2*c wrt c?\nAnswer: 336*c**2*v**3 + 24*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147177 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228811.\nAnswer: 11, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*d + 420*d + 668*d - 276*d + 322*d in the form n*d + v and give n.\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {f: 1, n: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 9*z - z**2 + 3 - 23*z - 26*z to k*z + i + x*z**2 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/7, -4, -20, 0, 15, -29 in decreasing order.\nAnswer: 15, 0.5, 1\/7, 0, -4, -20, -29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 6149448*p + 9453927676176.\nAnswer: (p + 3074724)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**2 - 827*i - 5235. Give s(81).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 569 + -468. Sort -3, 1, q.\nAnswer: -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/18 and -13\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 9*n + s - 5 = 0, 5*s = -5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 1\/7 (b) -4 (c) 4 (d) -3 (e) -158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*1 - (sqrt(11) - (sqrt(11) - (sqrt(704) + 0))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/3 - 3*j**2 - 10*j. Calculate g(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10788 by 1.\nAnswer: 10788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/9 + 1022*y\/9 + 261121\/9.\nAnswer: (y + 511)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 6.21?\nAnswer: -6.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 51 = -3*v, 3*h - 2*h - 19 = 2*v. Suppose 10*p = h*p + 28. Calculate the remainder when 1398 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -2210929.\nAnswer: -2210928.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:53 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243 - 268.4. Let v = -25 - t. Let p be 11 + 0 + -21 + 15. Sort p, -3, v in increasing order.\nAnswer: -3, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2053169 + 51315772\/25. Let u = -538 - r. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 345308*a**3*d**2 - 363*a**3*x - 645*a*d**2*x + 3*a*x - 4*d**2 wrt x?\nAnswer: -363*a**3 - 645*a*d**2 + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1403*x + 21. Let d(b) = -b + 4. Let p be d(1). Suppose 4 = m - p*j, 2*m = 3*m + 3*j - 10. Let a be h(m). Round a to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -75. Suppose -4*o + 3*o + 105 = -5*d, -3*o + 335 = -k*d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 31 (b) 5 (c) 0.1 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y + 3. Suppose 18 + 14 = -8*b. Let o be r(b). What is the smallest value in 8, o, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9477*s - 9894*s + 28356 = 0 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 41 = 67. Suppose -5*w + l*w = 2. What is the derivative of 20*n**w - 36 + 17*n**2 - 45*n**2 wrt n?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218598492, 218598493, 218598494, 218598495?\nAnswer: 218598496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.95 + -0.05. Suppose b + 19 = -2*l + 6*l, 0 = -5*b + 5*l - 35. Let m be b\/(-6)*-3 - -1. What is the closest to m in 2, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 21 - 23 = 0. Suppose 3*a = -3*k + 76 + 65, -2*a = l. Let o = -45 + k. Solve t + 2*t + z = -4, -5*t = -o*z + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/7, -3\/7, -16307, 0, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 196. Let t = m - -188. What is the biggest value in -23, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2. Let o(d) be the first derivative of d**3\/3 + 3. Give o(f(c)).\nAnswer: 49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 35*x**2 - 78*x - 78. Let c be n(37). Let d = 227 + c. What is the greatest common divisor of d and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*s + 7 + 48, 2*n = 4*s + 66. Let a(o) = 7*o - 3. What is the lowest common multiple of n and a(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) 7.5 (c) -4\/5 (d) 1\/2 (e) 1\/179 (f) -0.5 (g) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -4\/19, 19\/2, 15, -4?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tboqspbqs. What is prob of picking 1 t and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 288 = -14*d + 2*o, 0 = d + 5*o - 36. Calculate the smallest common multiple of 56 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 872 = 417 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2 + 5*d - 7. Let t be o(0). Let z be t - ((-96)\/14 + -1). Factor z + 6\/7*m**3 - 9\/7*m**2 - 9\/7*m.\nAnswer: 3*(m - 2)*(m + 1)*(2*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2769, 2, -2, 5, -4 in decreasing order.\nAnswer: 5, 2, -2, -4, -2769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 12*i + 16. Let g be v(13). Let u(z) = -z - 7. Let q be u(-9). Let l(h) = -h + h + 1 + 2 - 2*h - h**q. Give l(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 6. Let d(c) = 6*c**2 - 7. Let x(t) = -6*d(t) + 7*s(t). Let q be (30\/(-12))\/(2\/(-4)). Let m(v) = -q*v + v + 6*v. Give x(m(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3355764458\/18984271799 + -18\/3745171. Let s = g - 6\/37. Let f = -288\/959 + s. Sort 0.2, 0.1, f, 5 in ascending order.\nAnswer: f, 0.1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 26. Let z(s) = 6*s + 17. Let v(o) = 25*o + 68. Let b(n) = p*z(n) + 2*v(n). Is b(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781 - 39 = 53*t. Solve -t*u + 14 = 70 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, y: 1, b: 2, w: 2}. Give prob of picking 1 g and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302 and 64930.\nAnswer: 64930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-6852.\nAnswer: 54816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77590 is divided by 5967.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 193*f + 8254. What is m(-64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f. Let l be (f - -22*1)*1. Calculate the greatest common factor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2921996*q**2 + 46*q + 128051.\nAnswer: 5843992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -290, -605, -1188, -2129, -3518, -5445?\nAnswer: -8000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u + 20. Let m be p(7). Suppose 7 = t - m. Calculate the lowest common multiple of 10 and t.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/20*-2*-36. Let d be 6\/(-27) - (-4)\/b. Solve d = -2*o + 5*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 11 = -a. Suppose -a*c = -8*c. Solve c = -u - u - 4*d + 6, 0 = -3*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/21003318 and -53\/30?\nAnswer: 105016590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -730066 + 24?\nAnswer: -730042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79.12 * -5.\nAnswer: 395.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(440\/128))\/((-10)\/25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 729 + -729. Solve -23*p + j*p + 69 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hllh when four letters picked without replacement from hlhhllhllh?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -3*p + 19, -1 = 33*p - 30*p + 2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**7\/70 + b**6\/40 - 403*b**5\/20 - 1201*b**4\/8 - 399*b**3 - 4*b**2 + 57*b + 5. Solve f(x) = 0.\nAnswer: -19, -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 501. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 12 - (7 + -4 + 5 + -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:18 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/150 + l**4\/10 + 2*l**2. Solve t(p) = 0 for p.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:35 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -157, -169, -141, -55, 107, 363?\n\"Answer: 3*f**3 + 2*f**2 - 39*f - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.053629nm to kilometers.\nAnswer: 0.000000000005053629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 247596.48ns in days?\nAnswer: 0.0000000028657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 4980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -1470a94?\nAnswer: 1470a9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -11*l**4\/4 + l**3\/3 - l**2 - 2*l - 6. What is the remainder when x(-1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 241 - 270 = -5*i, -t = -5*i + 27. Suppose 4*c + 4 - 12 = 0. Let m(h) = 7 + 3*h - 6*h + 0*h - c. Let z(j) = -2*j + 3. What is i*m(q) - 8*z(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/((k\/(k*k**(-8\/3)))\/k))**(-2\/9)\/((k**(-3)*k)**(-15\/4))**(-10) assuming k is positive.\nAnswer: k**(2059\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.74641 to one decimal place.\nAnswer: 49.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -447779 at least as big as -447779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, -3, -424?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*j + 0*j = -5, -13 = -2*u + 5*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1081 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 + 10*f**3\/3 - 85*f**2\/2 + 166*f. Calculate the remainder when 13 is divided by q(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 20*t**2 + 432*t - 15. What are the prime factors of d(16)?\nAnswer: 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131*s**2 + 133*s**2 + 73*s**2)*(-2*s + 3*s + 0*s + 2*s**2) to the form r*s + i + d*s**2 + z*s**3 + f*s**4 and give f.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 2, g: 4, h: 6}. Give prob of picking 1 h and 2 z.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from gogmgoooogovag.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -3*h, 0*h - 2*w - 2 = -4*h. Let z(m) be the third derivative of m**4\/12 + 2*m**2. What is z(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1634 and 454818998?\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 1.04 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s**3 + 5*s**2 - 4*s - 1. Determine q(2).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j + 120. Let z = 21 + j. Let g be (-3)\/z*(6 + 3). Solve 2*f = -g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45600 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**7\/280 + h**6\/120 - h**3 - h**2. Let j(x) be the first derivative of a(x). Factor j(i).\nAnswer: 3*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - -60. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -563.23226401 and -0.0131?\nAnswer: 563.21916401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 19345 = g, 4*l - 26*g = -21*g + 19387. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1608923*v + 5949042 wrt v?\nAnswer: 1608923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8583 is divided by 84.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 86464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/3)\/(-7 + 37\/6). Suppose 0 = d + 2*d + p - 11, 0 = -3*d + p + 7. Let k(q) = 1 - 6*q + 0 + d*q. What is k(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 2 + 19 + 3*v**2.\nAnswer: v**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73441655 by -14688331.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f. Calculate p(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**3 - 19*a**3 + 0*a**3 - a**3 + 0*a**2 + 0*a**2 + (0*a + a - 2*a)*(-4*a**2 - a**2 + 2*a**2).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in 2\/11, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + b. Let j(g) = -g**3 - 4*g**2 + 2*g - 4. Determine -j(y) + 2*r(y).\nAnswer: y**3 + 2*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y. Let i(v) = -v + 37. Let u(f) = 122. Let s(o) = -6*i(o) + 2*u(o). Give z(s(j)).\nAnswer: 42*j + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -20976.67 to the nearest one hundred.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 5*z + 13, 4*z - 14 = -72*g + 74*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/(-36) - 13)*(22 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to 7431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3829 + 6997. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - -0.06. Suppose -26 = 4*w + 3*y, -2*y = 5*w - 0 + 29. What is the closest to q in 2, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 2, c: 4, h: 1}. What is prob of picking 1 a, 1 h, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87, -88, -89, -90?\n\"Answer: -a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -11 + 7 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 1:40 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 375*a - 100. Let h(y) = -3*y + 1. Let n(d) = -100*h(d) - t(d). Let f(v) = -4*v**2. Calculate n(f(u)).\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 19*a**3\/6 - 13*a. Let x(l) = -2*l + 5*l + 3*l + 7*l. Let n(m) = 5*j(m) - 7*x(m). Let y(q) = -3*q**2. What is n(y(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 328655 and -3.1?\nAnswer: -1018830.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3733, -14929, -33589, -59713, -93301?\n\"Answer: -3732*f**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 6. Let m = o - 0. Let i(f) = 9 + 0 + 2*f - 8 - 3*f. Determine i(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 3, -25, 1, -142, 4 in ascending order.\nAnswer: -142, -25, -1, 1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4230 and -139\/263670.\nAnswer: 791010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 6. Let k(d) = 2*d - 13. Suppose 0 = -4*x - 2*x + 42. Suppose 2*w - 11 - x = 0. What is w*m(i) + 4*k(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 2. Let w be r(0). Suppose -124 = -w*v - 4*m, -v = 3*m - 2 - 57. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2019, 4705, 9183, 15453, 23515, 33369, 45015?\n\"Answer: 896*u**2 - 2*u + 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 55. Solve -2*m = -o + 4, -z*o - 8 = o - m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x + 4. Let u(c) = 24*c + 11. Let z(y) = 5*d(y) - 2*u(y). Let r(n) = 3*n + 1. Give -4*r(s) - 3*z(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = -220. Suppose 4 = -4*b + 4*x, -2*b + 5*x - 4 = 2*b. Let k be (-1 + 13)*b\/(-3). What is the greatest common factor of k and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(4)\/(sqrt(4)\/sqrt(2)) + -6*(sqrt(128) + 1 - sqrt(128))**2 + 2).\nAnswer: 4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4434 and 938504874.\nAnswer: 4434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -9*i**4\/4 + 45*i. Let k(j) = 5*j. What is s(k(x))?\nAnswer: -675*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r + 5*r - 29322. Let n = r + -960. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.34 + 30.34. What is the nearest to -61 in -0.5, 1\/3, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11129.\nAnswer: -11123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 48848512 - 48847159 = 0 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 13 + 78*x**3 - 25*x**2 + 9*x**4 - 3*x - 90*x**3. Let s(l) = 4*l**4 - 6*l**3 - 12*l**2 - 2*l - 6. Let i(f) = 13*s(f) - 6*z(f). Factor i(k).\nAnswer: -2*k*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57935473 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: Simplify -3 + (1*(sqrt(14) - (sqrt(2016)*1 + sqrt(2016))))\/(sqrt(448) - (sqrt(448) - (sqrt(448) + (sqrt(448)*-1 - sqrt(448))*4))).\nAnswer: -3 + 23*sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:05 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2299) + 0 + sqrt(2299))*-6 + sqrt(2299) + (sqrt(2299) - 2*sqrt(2299) - sqrt(2299))*5 + sqrt(2299) + -3)**2.\nAnswer: -1056*sqrt(19) + 588553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1 (c) 1\/8 (d) 0 (e) -2\/119 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -1\/3*f**4 - 13*f + 0 + 1\/20*f**5 + 7\/6*f**3 + 1\/2*f**2. Calculate the remainder when k(5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -11. Let x(l) = -2*l - 5. Let o be x(v). Suppose -80 = -2*u - o*i + 4*i, 30 = u + 5*i. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deedyeydedydydeeydy. What is prob of sequence ed?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.1 (b) 1 (c) 11 (d) -4 (e) 0.1 (f) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555339 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + 10 - 4 - 18) + (-1 - 9) - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3649 is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 4*w - 12, -143*x - 5*w = -140*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 = -29. What is the greatest common factor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) + (sqrt(108) - (sqrt(108) + (sqrt(108) - sqrt(108)*-1)))).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183 and 4331.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -7 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i - 213. Let d be r(31). Suppose 2 = h - 4. Let z be (1\/4)\/(h\/(-36)). Which is the nearest to 1? (a) z (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615063 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 0.05, 3, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - u = 4*u + 320, 2*k = 4*u + 130. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:09 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3790759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 17755.1.\nAnswer: -17755.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*i**3 + 553*i**3 - 1072*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/3 + 6\/(-9). Let o = 7 - k. Suppose o*r - r - 4 = 0. Solve -5*m = r*b - 10, 5*b - 7 = -2*m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (12 - 6 - (13 - 29)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -8\/3*j + 56\/3*j**2 + 0 - 98\/3*j**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 214 + 0?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/1213 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11457081989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1249*u**2 + 0 - 623*u**2 - 33*u - 45 + 9*u - 624*u**2 as l*u**2 + o + b*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-14)\/105)\/((-1)\/(-5 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 36*a - 248. Let f be z(7). Solve -20 = -f*y - 4*b, y - 11 = -5*b - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -13660?\nAnswer: 13665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtbbtbttbbt. Give prob of picking 1 t and 2 b.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6389.458 millilitres in litres?\nAnswer: 6.389458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8030 divided by 365\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -460 in descending order.\nAnswer: 1, -6, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2664696 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179336901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008167386 to 6 dps.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b5 - -ab91a?\nAnswer: ac3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -2.8. What is the third biggest value in l, -1\/3, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 5*n**2 + 7*n - 2. Let s be k(6). Suppose -s*x + 3 = -813. Suppose 12*w - x = 10*w. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -151114524?\nAnswer: 151114526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5, -3*r - 4*k + k = -345. Suppose 3*n = -a + 74, 2*n + 3*n - r = -a. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(102) + 4*sqrt(102)*-2 + sqrt(102))\/(sqrt(18)\/sqrt(3)*5).\nAnswer: -6*sqrt(17)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 11 + 9*u - 6)*(-5*u + 4*u - 70*u).\nAnswer: -639*u**2 + 71*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142431 and 153?\nAnswer: 7263981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b + 35*b + 4 = -2*t, -22 = 4*t + 3*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**4 + q**2 + q. Let n(b) = -5*b**5 - 30*b**4 + 15*b**3 + 30*b**2 + 15*b. Let j(i) = -n(i) + 25*v(i). Factor j(d).\nAnswer: 5*d*(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Calculate the remainder when 7 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40611, -89753, -138895, -188037, -237179?\n\"Answer: -49142*p + 8531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11792 and 737.\nAnswer: 11792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - (-26 - 2)) + 109 - (-3 + 1 - 10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-275 + 275 + 28*q).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2052961 and -86525.\nAnswer: -86524.7947039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39 * -0.006289\nAnswer: -0.245271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 5:44 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 13. Let a(z) = -z - 3. Let u(h) = -9*a(h) + 2*s(h). Determine u(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46703811?\nAnswer: 3, 7, 11, 17, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-32)*(v*v\/v**0)\/(v*v**(2\/3))*(v*v**(2\/31)*v**(1\/5))**(-7\/6) assuming v is positive.\nAnswer: v**(-177\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 18 - 2. Suppose 2*y - 46 = j + 160, 5*y - 515 = -w*j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209288?\nAnswer: 2, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -13. Let z(k) = -k. Let j be (-3)\/9*-3*3. Let p(i) be the third derivative of -i**4\/24 + 2*i**2 + 24. Calculate j*z(q) + r*p(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 = -3*r - 122, 4*h = r - 101. Calculate the least common multiple of 10 and (-25)\/10*4\/h*20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 26, 59?\n\"Answer: 33*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h + 412. What is the remainder when l(-44) is divided by 79?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 10 = -17*x + 2*b, -b = -5*x + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g. Let n(b) be the second derivative of -b**5\/60 + b**2 - 8*b. Let d(f) be the first derivative of n(f). What is k(d(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9884432, -9884423, -9884414?\nAnswer: -9884405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*p - 24 = 0, -257*p + 256*p + 6 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247640.1 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/10*-5*(-6)\/48. What is the nearest to n in 2\/3, 0.08, -1\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q - q + 751790 - 751795. Let u(z) = -20*z - 6. Let m(v) = -7*v - 2. Let n(i) = -11*m(i) + 4*u(i). Let p be (-2)\/(2\/1) + 10. Give p*n(f) - 4*h(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41 and 39.\nAnswer: 15.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-3264)\/18 - 4. Let o = -187 - p. What is the closest to 5 in -5, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**3 + 6*t**2 + 6*t. Let h(v) = -100*v**3 + 65*v**2 + 65*v. What is -6*h(u) + 65*k(u)?\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*y + y - 1285, 6414 = -5*y - 4*g. Is 72\/(-48)*y\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 2*m**2 - m**3 + 2 + 0*m**3 - m**2. Let r be 1\/((-3)\/177) - 4. Let q = 63 + r. What is j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 0.2 (b) 0.7 (c) 4\/5 (d) 513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/40 - m**4\/24 - m**3\/3 - 10*m**2. Let s(u) be the first derivative of i(u). What is the units digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254977341 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 21. Let m be -4 + (-1 - -5) + y. Suppose 3*k = 2*k + m. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8471\/152 >= -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*59729\nAnswer: 298645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -221654 - -5?\nAnswer: -221646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 12*m + 23. Let o be k(13). Let i = o + -21. What is the first derivative of 29*f + i*f - 18*f - 36 + 26*f wrt f?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5124 divided by 1708\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 - -4. What is the biggest value in -3, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**3 + l + 1. What is the remainder when 89 is divided by b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055 a factor of 854746742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47607 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)*2 + -3. Let h = -45 - -43. Let q = -212.4 - -212. Which is the smallest value? (a) h (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = l + 119 - 797, 3*l + 4*w - 2082 = 0. What are the prime factors of l\/36 - 2\/12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*g**3\/15 - 1082*g**2\/15 + 1568*g\/15 - 8\/3 = 0 for g.\nAnswer: 2\/77, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 526490 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*g**2*s**2 + 2*c*g*s - 100*c*g + c - 16*g**2*s**2 + 3*g*s**2 - g*s wrt g.\nAnswer: 2*c*s**2 - 32*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - ((7 - 17) + 12 + -8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1104*a - 2204. Let c be j(-2). Let y(s) = s**2 - 4*s + 9. Let r be y(7). Suppose -4*k - k + r = 0. Solve -2*u = c, 4*h - 4*u = 2*h + k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.53 + 0.96. Let x = -0.03 + o. Let c be (-3215)\/1286*2\/30*-3. What is the third biggest value in c, x, -5, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 517?\nAnswer: -5687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + -6 + 27. Let x(c) = c**3 - c**2 - 17*c + 38. Let r be x(2). What is the highest common factor of q and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416172007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 8 = 8*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2336 from -226762708.\nAnswer: -226765044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -2. Let n be x\/12*(-14)\/(-21). Sort -0.1, -3\/5, n, -0.04.\nAnswer: -3\/5, n, -0.1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(4\/9))\/(r\/(r*(r*r\/(r*r**(2\/5)\/r))\/r*r)*r))**(-50) assuming r is positive.\nAnswer: r**(-920\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-20) - (17668\/(-280) + 5). Solve 69*z - y*z - 22 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + l**3 - 3*l**3 + (0 + 0 + 3*l**2)*(-3*l - 2*l + 2*l).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 81288612?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {u: 1, w: 5, s: 5, a: 5, q: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 - 7*d - 3. Let c be v(-3). Suppose -15*s + 20*s - 170 = c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3 + 31036*c**2 + 133385600*c + 97840440000 = 0.\nAnswer: -7300, -918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k. Factor 2*z + 0*z + 2*z**2 + z**2 + k*z.\nAnswer: z*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 57. Let i = 15 + -15. Solve g - 1 + s = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688, -2656, -5904, -10432?\nAnswer: -16240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/64152 and 115\/36.\nAnswer: 64152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9509.4552, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 16. Suppose 3*l - 4*i = -494980, -t*l - 659975 = 2*l - 5*i. Round l to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from {e: 2, g: 1, w: 13}.\nAnswer: 13\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 436, 614, 792, 970, 1148?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 30. Let n be j(13). Let c be (2\/(-1 - 1))\/((-14)\/(-84)). Let i be ((-18)\/(c\/2))\/(6\/4). Solve n*l + i = -4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v + 192 = 0. Suppose 132 = m + 4*m - u, -2*u = -2*m + v. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (696\/(-10556))\/(1*4\/(-14))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1403 - -109.35229103.\nAnswer: 109.49259103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**3\/3 + 5*u**2\/2 - 16*u. Let v be b(-1). Suppose -230 = v*j - 17*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21160 and 5380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okzohhkkkhhhhzkzhzz. What is prob of picking 1 h and 2 k?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -7938747 and 3.\nAnswer: -7938744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**2 + 14. Let f(b) = b**2 - 1. Let c(n) = -11*n**2 + 5. Let l(x) = 3*c(x) + 15*f(x). Determine l(y(j)).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.49 + 0.89. Let v = 1 - -3. Put 3, v, -0.2, o in increasing order.\nAnswer: -0.2, o, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**4 - 278720*n**3 + 165*n**2 + n + 287 wrt n.\nAnswer: -48*n - 1672320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.2737*-0.091\nAnswer: -0.2069067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*v + 36. Let w = v + -14. Let z = w + 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 71 = c, -20*c - 26 = -21*c - 2*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*c + 0*c = 4365, 0 = 3*o + 2*c - 4383. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*j**3 + 37*j**3 + 409*j**3 + (-2 + 2 - j**3)*(1 - 2 + 2).\nAnswer: 481*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -287, -498, -709, -920, -1131, -1342?\n\"Answer: -211*z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 36166*g**2 - 18083*g**2 + 139*g - 18084*g**2)*(3 - 3 + 3*g) in the form i*g**3 + v*g**2 + r*g + f and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 14*x**6\/15 + x**4\/2 - x**3\/6 - 62*x. What is the third derivative of r(t) wrt t?\nAnswer: 672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3176 + -19181.\nAnswer: -19180.6824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 12 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 3) to base 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2219877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.012 + -7. Let n = h + -0.01169. Round n to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6330*z**2. Let l(a) = -a**2. Give m(l(i)).\nAnswer: -6330*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.17851 millimeters?\nAnswer: 1178510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21117 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -47, -70, 2, 5 in increasing order.\nAnswer: -70, -47, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvo when three letters picked without replacement from {v: 4, z: 2, f: 2, t: 3, q: 3, o: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 4*o + 30, -9*x = -6*x + o + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 1. Let h be q(1). Let g(d) = -d**3 - 4*d**2 - 4*d - 2. Let y be g(-2). Let l = h + y. Solve l*t - 15 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**8\/126 + 53*k**7\/315 - 97*k**6\/180 - 31*k**5\/90 + 101*k**4\/36 - 22*k**3\/9 + 151*k**2 + 7*k. Solve i(x) = 0.\nAnswer: -1, 1\/4, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 6 + 34. Let f(g) = g**2 + 11*g. Let o be f(-10). Let x be (-2)\/o - 1014\/(-130). Calculate the greatest common divisor of x and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 2*g - 3, -4*c + 7 + 9 = 4*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(242)*-1*1.\nAnswer: -11*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -25. Is (i - (-1 - 837))*1 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -29 - (64 - 78)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1091 - -1091. Suppose -5*z + 10*z = -3*i + 9, i - 3 = f. Let v(s) = -3*s + 1. Let n be v(-1). Solve z = n*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -5. Let u = 6 + k. Let l = -5 + 3. Sort -4\/3, l, u in descending order.\nAnswer: u, -4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1897, -3748, -5593, -7432, -9265, -11092, -12913?\nAnswer: -14728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (3 - (-6 + 6) - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353856 divided by 8.\nAnswer: -44232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 150*i - 9455. What is the remainder when 1834 is divided by d(67)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42\/5 of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 44. Suppose -i = p - 97. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -120\/11 (b) -3 (c) -0.3 (d) 1312\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*70\/60*(-6)\/8. What is the highest common factor of 56 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 - 3*y - 2. Let v(x) = -56*x**2 + 3071*x - 1158224. Let n(w) = -18*d(w) - 2*v(w). Find k such that n(k) = 0.\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 13. Let w = -121819\/39290 + 2\/3929. Find the common denominator of (u\/(-11))\/((-21)\/196) and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 103*w**2 - w - 2. List the prime factors of q(-1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-54)\/15)\/6)\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 - 1210197*z**2 - 3051174392904*z\/5 + 27461059668108\/5.\nAnswer: -3*(z - 9)*(z + 1008502)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-18)\/32)*243*93\/5022?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -31*x**2 - 2*x. What is m(-1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m + 12. Let c = 103 - 113. Let i be s(c). Is 34949\/9 + (-16)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/182)\/((-6)\/13). Which is the third biggest value? (a) 2\/15 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/2839 or 6.382?\nAnswer: 6.382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8964 and 11140592.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzob when four letters picked without replacement from {z: 4, b: 1, o: 4, p: 2, d: 6, m: 3}.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*x**4 + 2*x + 664 wrt x?\nAnswer: 1440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -196. Let f(q) be the third derivative of q**5\/60 - q**3\/6 - 6*q**2. Calculate f(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 14*r = -5*p - 14, -r = 5*p - 4. Let q(l) = -7*l**3 - 6*l**2 + 3*l - 1. Let g(w) = -w**3 - w**2 + w. What is p*q(z) + 6*g(z)?\nAnswer: z**3 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6. Suppose 0*x - 2*x + 6 = z, v + 4*x - 20 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70103 is divided by 278?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*p**2 + 629 - 298*p**2 + 912*p**2 - 629 + 1329*p**2.\nAnswer: 2131*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - o = o, 5*o - 25 = 0. Suppose -58*h = -57*h - 3. Factor 5 - k**3 - 5*k - h - 4*k**4 + n*k**2 + k**5 + 5*k**3.\nAnswer: (k - 2)*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14049\/8 + 1750. Calculate the common denominator of (-4)\/18 + (-2324)\/72 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(28\/4)\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i**2 - 3*i - 10. Let k be x(-5). Sort 2, -4, -8, k in decreasing order.\nAnswer: k, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 239*s**4 + 65*s**4 - 19*s**4 + (-3 + 1 + 1)*(-s**4 + 5*s**4 - 2*s**4).\nAnswer: 283*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/1010*-5*5*14\/140?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y + 32*y + 30*y**2 - 12*y - 11*y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.3952 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110101111 (base 2) in base 13?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onrryordrdbdbbrro. Give prob of sequence bnd.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = -6*f + 3*f, -2*u = 5*f - 36. Let n(o) = -2*o + 9. Let v be n(f). Is v at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 340 = 3*d. Suppose -91*w - 594 + 4445 + 517 = 0. Let t = w + d. List the prime factors of t.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 40 - 26\/7*d**2 + 48\/7*d + 6\/7*d**3 - 1\/14*d**4. Factor w(h).\nAnswer: -2*(h - 4)*(h - 3)*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 4. Let q be -3 + 28\/a - 2. Factor -6*i**2 + 3*i**3 - 68 + 45*i - 15*i**q + 41.\nAnswer: 3*(i - 3)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 0.6. Let d = -0.14 - -0.04. Let j be 32\/(-15) - (-3 - -1). Which is the nearest to d? (a) l (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2373\/678)\/(2\/(-6) + (-1)\/(-2)). Calculate the highest common factor of o and 41811.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 3. Give c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -39*n**2 - 7564*n + 438. What is q(-194)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 - 5394*h - 96120 = 0. What is h?\nAnswer: -1780, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 112. Let j = -6 + 3. Let n(v) = 3*v + 9. Let r be n(j). Does 26 divide h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6)*9\/12. Let g = -67 - -67.2. Which is the biggest value? (a) g (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y*y*y*y*y**(-8)\/y*y*y*y)**(-9\/4) assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.665 rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_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: Express (79 + 139 - 20)*(2 - 2 - 2)*(m + m**2 - m)*(3*m - 3*m + 2*m)*(3 - m - 3) in the form f*m**3 + g*m**4 + q + h*m + o*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (416\/468)\/((-4)\/(-18)). Sort s, -7, -2 in ascending order.\nAnswer: -7, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678609 is divided by 1164?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.9328 + -50. Let x = -0.07 - p. What is x rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -1, -2, 93.\nAnswer: -3, -2, -1, 7, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, -105, -180, -287, -438?\n\"Answer: -2*n**3 + 2*n**2 - 47*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16217*o + 1301*o + 1312608 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 40*b**2 + 3*b - 34. What is n(40)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 - 2*n**2 + 8930*n + 2*n**2 - 8930*n. Let t(g) = -11*g. Let l(i) = -17*i. Let h(p) = -5*l(p) + 7*t(p). What is h(x(s))?\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 153\/2 (c) 5 (d) -2\/77 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 17*c - 377. Let q be t(13). Solve -22 = -7*d + q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40404*b + 11*b**2 + 9*b**2 - 19*b**2.\nAnswer: b**2 + 40404*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-296)\/(-64) - 3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401045860 rounded to the nearest one hundred thousand?\nAnswer: -1401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-15)\/(-40)). Suppose 5*w - 119 = 4*s, 5*w - 115 = s + a*s. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -21. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -90474.\nAnswer: -18094.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 3*d**2 - 3*d - 1. Calculate w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**3 + 2 - 2 + 43*l**3.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97222*k**3 + 231*k**2 + 10?\nAnswer: 583332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 - 760 - 103 = -78*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/20 and 77\/790.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -ee981 (base 16) in base 3?\nAnswer: -1211122120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1439*q - 1. Let p(x) = -4*x**2. Give n(p(f)).\nAnswer: -5756*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3535 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33123 + 3?\nAnswer: -33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 11*l + 4. Let p(k) = k. Let u(r) = 2*o(r) - 22*p(r). Let y be u(-8). Suppose -2*i = 4*g - 432, -3*g + y + 183 = 4*i. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 342 - 334. Suppose -c*d = 9*d - 51799. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 17. Let f be p(6). Let i(n) be the first derivative of 6*n - f - 1\/2*n**2. Calculate i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207.1 + 207. Let d = -18 - -33\/2. What is the closest to f in d, -0.6, -5\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z - 1. Suppose -29 = 4*c + 19. Let p = -4 - c. Suppose -9*d = -p*d - 1. Let m(x) = 3*x**2 + x - 1. Give d*w(o) + m(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007491 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82189 is divided by 467.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -4 (c) 16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7106905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 25*n**2 + 93*n\/2 - 72.\nAnswer: (n - 1)*(n + 3)*(n + 48)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109018, -108788, -108408, -107878, -107198, -106368, -105388?\n\"Answer: 75*w**2 + 5*w - 109098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3567 - 39293\/11. Calculate the common denominator of v and -29\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(468) - (-3 + (sqrt(468) - (sqrt(468)*-4 + sqrt(468)))**2)) + (-4*sqrt(468))**2 + sqrt(468) + 3 - (4 + sqrt(468) + 2 + 5 + -2)).\nAnswer: -4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8297580679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10637 and 11.769.\nAnswer: 10648.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37277*f**4 - 14*f**3 + 369*f**2 - f + 981.\nAnswer: -894648*f - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86626.43 millilitres to litres.\nAnswer: 86.62643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2971*x - 8925 with respect to x.\nAnswer: -2971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -30, 9 in descending order.\nAnswer: 9, 2, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/150 + 1\/((-9)\/(-687)). Suppose 2*r = 2, k + 6 = a + r. What is the remainder when 317 is divided by a?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 2*20\/24. Suppose 2*m = -m + 3. Let c be (m - 1)\/(6\/6). Do c and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l - l)*(0 + 2*l + 0) - l**4 + 4*l**3 - 4*l**3 - 2*l + 2*l - 4*l**4.\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4, -16 in increasing order.\nAnswer: -16, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7485355 + -20745355. What is c rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/51 or -0.63?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02501347 to five decimal places.\nAnswer: -0.02501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -2*k. Let s(r) = -k*r**2 + r + 3*r**2 + 3*r**2 + 7. Suppose q = 5*q. Give s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 4:46 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36240.5 and -10010396.\nAnswer: -10046636.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 57. Let r be 6\/(-18) - n\/3. Suppose v - 15 = -4*v, -5*v - 15 = -r*a. Calculate the remainder when 15 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 41*x**2 + 3*x - 5. Let m(c) = -263*c**2 + c + 7. Let f(d) = -326*d**2 + d + 9. Let u(s) = 9*f(s) - 11*m(s). Calculate 4*j(k) + 5*u(k).\nAnswer: -41*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3540 = -25*x + 19535. Let w = 2517 - x. What are the prime factors of w?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248596649*l**2*s**3 + 3*l**2*s + 1759*l*s**2 - 423*l wrt s.\nAnswer: -1491579894*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 635, -6, -4 in ascending order.\nAnswer: -6, -4, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + i = -1775, 4*i = -3*m + 1336. List the prime factors of m.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 16*q + 8. Let m be a(16). What is the second derivative of -77*d - 12 + 75*d + 10 - 14*d**3 - m*d**3 wrt d?\nAnswer: -132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 17*b - 145 + 47 + 50 + 48. Let r(g) = -34*g**2. Calculate i(r(q)).\nAnswer: -578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -548\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4 + 307*u**2 - u**3 + 226*u**2 - 527*u**2 + u - 4*u. Let t(r) = 18 - 7 + 2*r**3 - 17*r**2 + 8*r + r**3. Calculate -17*s(z) - 6*t(z).\nAnswer: -z**3 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*u - 2*u. Let s = -3 - -4. Let k be (-16)\/(-6) + s\/3. Solve u*d - 4*a = -a + 6, d + k*a = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 0.1 (b) -1 (c) 198 (d) -35 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38228 is divided by 608?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/60 + 5*n**4\/24 - 2*n**3\/3 + n**2. Let m be a(-7). Let z(g) = g - 8. Let b be z(m). Put -3, -2, b in increasing order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 12*s - 10. Let h(m) = m**2 - 13*m - 4. Calculate the least common multiple of h(14) and q(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85536 and 4752?\nAnswer: 85536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, -2\/13, -14, 0, 267?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8)*-2 + 2. Let w be (-49)\/(-21) - 2\/6. Factor -w*c**2 - c**h + 2*c**3 + c**4 + 0*c**4.\nAnswer: c**2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 8*h - 5*h + 7*h + 1. Let o be u(2). Let s = 18 + o. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480, -739, -1018, -1329, -1684?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5 - 915*o**4 - 16626*o**3 - 93048*o**2 - 109056*o + 219648 = 0. Calculate o.\nAnswer: -286, -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, -0.4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 134, 1.8853, -0.2, -6\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 2)\/(-2) + 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*d + 30 = 0, -5*x + 2*d - 15 = -3*d. Let l be (-3)\/2 + x\/(-4). What is the remainder when (9\/l)\/((-1)\/2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 4*w**7\/105 + 3*w**3\/2 + 5*w**2\/2 + 6. Let k(o) be the second derivative of f(o). Find the first derivative of k(j) wrt j.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:15 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*9\/(-18))\/((-3)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 5*x + 7, 3*h + h = 2*x - 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a2d (base 14) in base 7?\nAnswer: -16556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 34. Calculate the remainder when b\/3*30\/(-10) is divided by (-1)\/(-3) - (-52)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*j**2 + j**3 - 60*j - 183*j**2 - j**4 + 93*j**2 to r*j**4 + u*j + s*j**2 + k*j**3 + n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24966 is divided by 8318.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9158\/76 - 125)*(33\/(-7) + 2 - -1).\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/10, 0, -2, 132, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-35))\/(8\/(-28))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**21*k\/(k**(4\/15)\/k))**41 assuming k is positive.\nAnswer: k**(13981\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*s**2 + 2)*(-s - s + 0*s)*(-6*s**2 + 2*s**2 - s**2) + 3*s**5 + 3*s**4 - 3*s**4.\nAnswer: 43*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -6, -0.1, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, c: 3}. What is prob of picking 1 c and 3 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 80917 and 80917 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/7 - 72\/(-252). Put 5, 1, 6, x in decreasing order.\nAnswer: 6, 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9211)\/(-2745))\/(((-42)\/(-15))\/(-1)) and -59\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpii when four letters picked without replacement from ptziztizpiii.\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3204, 12743, 28618, 50823, 79352, 114199, 155358, 202823?\n\"Answer: -o**3 + 3174*o**2 + 24*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 3*sqrt(8) + sqrt(2)).\nAnswer: -4 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.677 rounded to 0 dps?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3273916 is divided by 478.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15)\/((-2)\/20). Suppose -8 = -0*j - f*j. What are the prime factors of (-24)\/10*(-5)\/j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17597\/3434383 + -2\/6233. Is q at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 156, 249, 360, 495?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Let x(j) = j**2 - 6*j - 1. Let r be x(10). Suppose -27 = -3*a - 3*y, -3*a - a = 5*y - r. Let o(k) = -2*k - a*k - 2*k. Determine h(o(n)).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 192 = 4*x, 0*x + 3*x - 136 = t. Let j be (16 + -16)\/(-1 - 0) - x. Which is smaller: j or -40?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -5. Let w be (-2 + 1)*(-81 + 0) - 4. Calculate the highest common divisor of w and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77203*c + 77202*c - 92 = 24*n, n - 57 = 3*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1015, -1058, -1089, -1114, -1139, -1170, -1213?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 492575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792618 is divided by 635.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -17 + -32 + -10 + (3 - 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2\/9, 5, -2 in increasing order.\nAnswer: -2, -2\/9, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3*v - 2*o**2*v**2 + 82*o*v**2 + 30*v**2 + 3*v with respect to o.\nAnswer: 3*o**2*v - 4*o*v**2 + 82*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1007034649 or -1?\nAnswer: 1\/1007034649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 384 - 389. Let y = -5 + 1. What is the third smallest value in c, y, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 38 - (-56 - (-2 + -9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-2\/21)\/v*v*v*v**4\/v)\/((v\/(v**(-1\/6)\/v*v))\/(v**(-4)\/v*v)))**(12\/19) assuming v is positive.\nAnswer: v**(62\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 7*s**2 - 8*s + 2. Let w be c(-8). Suppose 2*n - 4*g = -2*n + 340, -5*g + 156 = w*n. What are the prime factors of n?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 5*c**3 - 4*c**3 - c**2)*(784 + 2*c - 786 - 3*c).\nAnswer: -c**4 - c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 6*u - 1. Let t = -60 - -54. Calculate s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (1 + sqrt(288) - sqrt(2)) - sqrt(4)\/(-1*sqrt(2)) - sqrt(100)\/sqrt(8))**2.\nAnswer: 21*sqrt(2) + 443\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/17))**37*(f**(-1)\/f)\/f*(f**(-3\/11)*f*f)\/f assuming f is positive.\nAnswer: f**(-18\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01554 and 0.3.\nAnswer: 0.28446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 1 + 0*c - 9*c**2 + 3*c + 11 + 11. Let g be f(-9). Let z(o) = o**2 - 12*o - 50. Is 11 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-44))\/f*f*f**(-3\/11))\/(f\/f**(-27)*f\/(f\/(f*f\/((f*f*f**(10\/9))\/f)))) assuming f is positive.\nAnswer: f**(-7045\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (0 + -13 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3400\/957 - 118\/33. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 453413004*f**2 - 1006628310.\nAnswer: 906826008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1864848 - 978125. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 169826062 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2610407 and -12705402.\nAnswer: -15315809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32, 156, 368, 674, 1080, 1592, 2216, 2958?\n\"Answer: l**3 + 38*l**2 + 3*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6074.9 + -6074. What is the closest to x in 2\/7, 0.005, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 - 5. Let x be w(-5). Let k be (-10)\/(-25) + (-8)\/x. Suppose -k*g = -5 - 1. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 1. Give p(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 13*k**2 - 13*k + 2. Let v be c(12). Let l(f) = -6*f + 33. Let d(h) = 11*h - 67. Let t(m) = 2*d(m) + 5*l(m). List the prime factors of t(v).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -290, -660, -1108, -1640, -2262, -2980?\n\"Answer: -g**3 - 33*g**2 - 264*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2453*f + 33671 - 33671)*(-2*f**2 - f**2 + f**2 + 7*f**2 - 4*f**2 - 2*f**2 + (0*f + 2*f**2 + 0*f)*(-1 + 2 - 2) - 3*f + 3*f + f**2) + f - f - 2*f**3.\nAnswer: -4908*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/30*-74*(-5)\/2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 54. Suppose 5 + 1 = 4*z + 5*h, z = h + 6. Calculate the remainder when c(-17) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 1133, 2160, 3203, 4268, 5361, 6488, 7655?\nAnswer: 8868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1915 = k + v, 2*k = 4*v + 1940. Let t = k - 684. Let y = 399 - t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -29. Suppose i = n + 7 - 8. Let r(f) = 48*f**2 - 2*f + 1. List the prime factors of r(n).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101.6 + 100.6. Let k = 68 + -72. What is the nearest to f in k, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 34 = -8*g. Suppose -5*q + 30 = 5*o, 0 = -q - 4*o + o + 14. Let t be (-33)\/(-12) - 1*q. Is g <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751*k**3 + 5665*k**3 + 5266*k**3 + 5844*k**3.\nAnswer: 17526*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41820 and 83730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 7*h + 7*n + 36585 = 0, -4*n = -4*h + 73120. Does 38 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/1305)\/(26\/(-455))*16\/(-28)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36649 smaller than 36647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.3, 0.4, -1, 1, -9\/4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123603\/25 + 23166\/5. Let o = m + 311. Suppose -47 + 42 = -5*h. Which is bigger: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 6*c. Suppose c*l = -7*l + 14. Suppose -2*a + h = -353, 0 = -2*a - l*a + 3*h + 705. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) 5\/17 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u + 3. Factor -j**3 - j + 6*j**2 + 2*j**3 - 2 + u - 5*j**2.\nAnswer: (j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d + 3*d - 8*d)*(-1 - 1 + 1).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4312 and -89\/868.\nAnswer: 133672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*l**2 - 5*l**4 - 2*l + 24*l**2 + 6*l**4 - 5*l**4 + l**4 + (-2*l**2 + 2*l**2 - l**3)*(2*l + 2*l - 3*l) - 10*l**4 - 14*l**4 + 8*l**4.\nAnswer: -20*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1292 and -83\/77588.\nAnswer: 1474172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -997 * 1258.7\nAnswer: -1254923.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23681)\/32636 + 8\/(-328).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1310 (base 7) to base 2.\nAnswer: 111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -18*t - 259. Solve -17 = 9*a - t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1524 + -1502. Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8.498, -6, 37?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*x + 270, 14*s - 3*x = 15*s - 290. Calculate the greatest common factor of s and 2363.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 9:45 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*57\/(-63) - 4\/(-14). Let s = p + 1. Solve -6*h + 4 = -s*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -368*h - 24976. Give t(-68).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.099 + -0.099. Which is the smallest value? (a) -2\/5 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 52 = -w. Let g(t) = t**2 + 12*t + 11. What are the prime factors of g(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 p when four letters picked without replacement from zmzmpmmmppmm?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 375, 762, 1161, 1578, 2019, 2490, 2997?\n\"Answer: o**3 + 380*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 > -1545\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6 - 39*x - 62 + 21. Let v be m(-3). Which is bigger: 69 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1db5cd48 - -2?\nAnswer: -1db5cd46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 6*g. Let v be o(6). Let k(q) = 670*q + 4021. Let p be k(-6). Sort 4, p, v in increasing order.\nAnswer: v, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*m + m - 37, 2*m = -a + 26. What is the remainder when 60 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6561, 13766, 20959, 28146, 35333?\n\"Answer: u**3 - 12*u**2 + 7234*u - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -38941.91 to the nearest one hundred.\nAnswer: -38900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 751110.75us in hours?\nAnswer: 0.000208641875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 372913658 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -723.8 + 660. Let j = -17.8 - 53.2. Let d = j - i. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/7 - 18*m**4\/7 - 1454*m**3\/7 + 574*m**2 + 208284*m\/7 - 60112 = 0. Calculate m.\nAnswer: -17, 2, 13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.46011*0.066\nAnswer: -0.03036726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9 + 2*x + 2 + 3*x + 29 - 8. Determine d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-288)\/(-30))\/(-4))\/(1\/5). Let y be 19 + c - (3*1 - 1). Suppose -2*g + 3*g = -2*b + 802, -y*b = -4*g - 2005. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 22925\nAnswer: -104\/22925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 + 10*b + 51835*b**4 + 2*b**3 - 51833*b**4 - 1 - b to the form f*b**4 + x*b**2 + m*b + v*b**3 + i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 220221?\nAnswer: -220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11932246*t**3 + 3*t**2 - 11932245*t**3 + 21*t**2.\nAnswer: t**3 + 24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((0 + -2 - (-5 + 3)) + -13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -20*n + 5. Suppose -4*o + 15 = a - 6*a, -4*a + 19 = 3*o. Let t be a\/(15\/(-12) - -1). Is m(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21652*a**3 - 2*a*s**3 + 62836*s**3 with respect to a.\nAnswer: 64956*a**2 - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 117 = 4*t, -5*t + t = 2*z - 118. Let v = t - 28. Let y be (v + 4\/(-3))*-3. Solve 5*r - i = -y, -r - 5*i + 5 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1520)\/(-2280)*(-1)\/(-2)*(-6)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 11*c. Let n be f(-10). Suppose -z = -5*s + 2*s + n, -s = -4*z - 18. Calculate the remainder when 20 is divided by 404\/36 + z\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 2*c + 3. Let h(t) = -3*t**2 - 3*t + 7. Let q(y) = 5*b(y) - 2*h(y). Let s be q(3). Let k = 2 + s. Solve 0 = 5*p - k*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**3 - 6*x**2 + 3*x - 1. Let z(d) = 10*d**3 - 5*d**2 + 2*d - 1. Let s(u) = -4*y(u) + 5*z(u). Calculate s(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 (base 14) in base 13?\nAnswer: a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/20*5 + (-13 - -13). Solve -2*l - k*g - 3*g = 0, 29 = 5*l - 2*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(sqrt(108) + 3 + sqrt(108)*2 + sqrt(108)) - -1*(-5 + -2*sqrt(108)))**2.\nAnswer: 2640*sqrt(3) + 21842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/402 and -67\/16.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Suppose -4*r = -2*r + t - 3, y*t + 4 = 0. Suppose 0*h - r*h - 14 = 0. Which is smaller: h or -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j = -2*t - 28*j - 27, -3*j = 3*t - 33. Solve -5*i + 20 = 2*q, 0 = -3*i - 2*q + t + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/27813 and 26\/101981.\nAnswer: 305943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*c**6*t - 170*c**3*t - c**2*t - 506*c*t + 2*c - t wrt c.\nAnswer: -10200*c**3*t - 1020*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/7 - 9\/(-21). Let l be 2*(-12)\/((-4)\/x). Let w(i) = 23 - 11 - 2*i**2 - l. Let f(v) = 2*v**2. Determine f(w(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 19*p - 69*p)*(-71*p + 15*p + 2*p).\nAnswer: 2970*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 - -343302?\nAnswer: 344001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 108431 (base 9) to base 15\nAnswer: 144dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438 + 436. Is 15 a factor of (180 - 1)*-4*1\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055215848 to seven dps.\nAnswer: -0.0005522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -38*t**2. Let o(r) = -265*r**2. Determine -2*o(g) + 15*w(g).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + -90 + (-20 - -5) + 8 + 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 28. Let w be k(13). Is (w\/(-4))\/(7 + (-21078)\/3012) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*((1 + 3 - 2)*(-4 + 0 + 5)*(-8*o + 2*o - 2*o) + 1 - 3*o - 1).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:55 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*f + 148552 - 145377 = 0 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349330.\nAnswer: 2, 3, 5, 78311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -68\nAnswer: -1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fysssvssssfyvs. What is prob of sequence fss?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79183331.\nAnswer: 17, 31, 97, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 27*s - 24 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {l: 1, p: 5, e: 6, j: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -9\/50, 0.1, -494?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35200 - 24511. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + -5.88. Let g = 2156 + -2150.009. Let k = g + q. What is k rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*k + 675557 - 93922, 0 = 5*x - 3*k - 581639. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28512 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1965694228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -1e4?\nAnswer: -1eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4825 - 4595. Calculate the lowest common multiple of q and 90.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.207043308 minus 5?\nAnswer: -363.207043308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - ((40 - 30) + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 2*o - 46. Let y be d(14). Let h = y + -120. Suppose -4*x + h*l + 3*l = -20, -4*x + l = -20. Solve 3*i - z = 2*i + x, -2*z - 10 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 35 - 49 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 0*d**2 + 0*d**2 - 2*d**3)*(-d + 2*d - 2*d + (-9 + 2*d + 9)*(0 + 0 + 2) + 0 + 2*d + 0 + (5 - 5 + 1)*(d - d + 2*d) - 3 + d + 3) + d**4 + 3 - 3.\nAnswer: -15*d**4 - 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 + 47*l**2 - l - 2. Let f(d) = 3*d**3 + 31*d**2 - d - 1. Let w(s) = -7*f(s) + 5*o(s). Is w(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-8)*b)\/(b\/(b*b**(2\/7)))*((b*b**7\/b)\/b*b)\/b*b*b**(1\/5))**(-8\/17))**(4\/29) assuming b is positive.\nAnswer: b**(-1664\/17255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 64 = 12. Let x = 17 + g. Suppose 4*s + 8 = -x*u, 0*s = s + 5*u + 22. What is the lowest common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 2, 0.3 in ascending order.\nAnswer: -5, 0.3, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2755 and 225530.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*o - 2*g - 11, 4*o + 4*g = 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 2*g - 12*g - 8*g + 3*g**2 + 5 + 7. List the prime factors of x(8).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 204 + 517. Find the first derivative of -48*z - 48*z + 2*z**2 + v*z - 171 wrt z.\nAnswer: 4*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.3942 rounded to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2, 0.1, -2\/15, 0.02 in ascending order.\nAnswer: -2, -2\/15, 0.02, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.3, 1\/127, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h + 6*h - 12 + 20. Let y be q(0). Let t = 18 - y. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6992 = 747*r - 1189*r + 746*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 12. Suppose -2*b = 3*j + j - 22, -5*b - 3*j + a = 0. Let o(n) = -5*n + 20. Let u be o(3). Solve -3 = u*l + b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-265)\/(563125\/(-750))*(-34)\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -10. Let p be (4\/8)\/((-3)\/s). Let i be 30\/(-24) + (-1)\/(-4). Put p, i, -3 in increasing order.\nAnswer: -3, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56, -39, -2 in decreasing order.\nAnswer: 4, -2, -39, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 11*h**3 + 2*h - 12*h**3 + 14*h**3.\nAnswer: -9*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 7. Let f be d(-5). Let p be (f + -55)*1\/(-3). Let n = -11 + p. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 61. Is -4 + (s\/2 - (2 - 598)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2423548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 - -22241?\nAnswer: 22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950\/27 + 2 + (-12)\/54?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9070 divided by 1\nAnswer: 9070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 17212*q + 8604*q + 8608*q + 0*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984812 is divided by 2751?\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and -0.085?\nAnswer: -0.1445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + 4*(-7)\/(-126).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92707 not equal to -92703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 88*a - 1382. Let w be m(17). What is the greatest common divisor of w and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*-3)\/(1 + -1 + 1). What is the units digit of (-222)\/h*(14\/2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - -0.7. Let a = 4.961756 + 0.038244. What is the nearest to 1\/3 in -0.6, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3715374802.470195 + -3715354039. Let w = h - 20763. Let s = -0.47 + w. Round s to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1722903 - 1723151.9998. Let x = o - -249. Round x to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - 1) + 150 + -160?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 + (-37375)\/(-4160) + -118?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2114*d**2*l*q + 368*d**2*q**2 - 5*d**2*q + d*l**2*q**2 - 4109*d*q**2 + 2*l**2*q + 142*q wrt q?\nAnswer: 736*d**2 + 2*d*l**2 - 8218*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36492 and 15496936.\nAnswer: 46490808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67.87 - 0.87. Let p = -66.7 + h. Let g = 1.3 - -3.7. Which is the third smallest value? (a) g (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i - 2. Let k be j(2). Let v(c) = -c**2 - c + 5. Let g be v(k). Let m(f) = f + 8. Let d be m(-4). Solve -g = d*n - 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + -5 + (3 - -6) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 24*o - 125. Let r be a(5). Let v(y) = y**2 + 4*y + 5. Give v(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 + 15)*12\/((-4)\/2). Let m = 69 + -26. Let q = m - 39. Solve 0 = q*s + y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-378)\/264 + 2\/11. Let n = -1 + 2. Let s be ((-8)\/(-8) - -2)*130\/(-15). Which is the closest to -2\/3? (a) n (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*h + 34, -2*h - 3*r + 15 = h. Let o be (3*40\/(-12))\/(-1). Let p = h + o. What is the smallest common multiple of 12 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -272 - -4082\/15. Let r = -20 - -35. Suppose -t - 2*t - r = 0. What is the biggest value in 4, t, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toyht. What is prob of sequence ho?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5\/8, -3\/8, 5, -4\/29.\nAnswer: -5\/8, -3\/8, -4\/29, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (480\/594)\/(-2) - 4\/(-22). Suppose -3*h - 33 = -3*v, h + 0*v - 1 = 5*v. Which is the smallest value? (a) 2\/5 (b) 0.2 (c) f (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5*q - 1 + 2)*(-87 - 250*q + 13 + 249*q)*(0 + 3 - 1).\nAnswer: 4*q**2 + 294*q - 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 1, x: 2}. What is prob of sequence hix?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 20 + 20. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 5*x**2 + 5*x - 2. Let k(n) = -n**3 + 5*n**2 - 5*n + 1. Let s(w) = -3*k(w) - 2*p(w). Give s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 205. Let o = v + -113.99927. Round o to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in 0.1, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11684 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 + 153. Solve -s + 12 = a*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(-8 + 18). Suppose 5*q = -2*w + 576, -5*w + w + p*q = -1182. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -3, -308 in descending order.\nAnswer: -1, -3, -12, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/(s\/(s\/s**(1\/3)))*s))\/s)**36)**34 assuming s is positive.\nAnswer: s**(-3264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/20*21\/(-18).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1142246*a**3 + 5338509*a**3 - 1137390*a**3.\nAnswer: 5343365*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7651380 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqo. Give prob of picking 1 o and 2 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -4*z**4\/3 + 2*z**3\/3 + 2*z + 6035. Let c(h) = -5*h. Give o(c(y)).\nAnswer: -400*y**2 - 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352837\/243 - -1452. Let y = 2921\/1215 + s. Factor -8\/5*l - 8\/5*l**3 + 2\/5*l**4 + y*l**2 + 2\/5.\nAnswer: 2*(l - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/2 + 965*j**2\/2 + 5609*j + 8959. What is the first derivative of t(h) wrt h?\nAnswer: -6*h**2 + 965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 2, u: 1, f: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11904239 and 4?\nAnswer: 47616956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l**3 - 8*l**2 + 14*l + 6. Let a = 5 - 0. Let o(q) = 9*q**3 - 5*q**2 + 9*q + 4. Give a*f(n) - 8*o(n).\nAnswer: -2*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (14972\/(-266) - -59)*-7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*x**2 - 451*c**3*x + 13186*c**3 - 12489*c**2*x - 3*c*x**2 - 455 wrt c?\nAnswer: 6*x**2 - 2706*x + 79116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 28*i**2 + 27*i**2 - 13 - 12*i. Determine u(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -1121?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 15*d**2 + 17*d + 18. What is the units digit of h(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 26564*y**3 - 44142700*y**2 + 132189132*y.\nAnswer: -4*y*(y - 3319)**2*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -348, -1757, -4216, -7719, -12260, -17833, -24432?\n\"Answer: c**3 - 531*c**2 + 177*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*4 + (sqrt(17) - (sqrt(17) + sqrt(119)\/sqrt(63))).\nAnswer: 23*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28*d - 138. Let p be w(-5). Let t be ((-972)\/(-20))\/9 + p\/(-5). Which is the third biggest value? (a) -17.8 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171396*v**3 - 6*v**2 + 931*v?\nAnswer: 1028376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 11. Let v be 0\/(2\/2 - q). Suppose v*r = 5*r - 10. What is the smallest common multiple of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -2)*(-15)\/(-12). Suppose -2*x - 269 = -2*f + 255, -d*f + 4*x = -1305. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28957971 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: Two letters picked without replacement from {p: 1, j: 5, z: 1, y: 3, e: 1, i: 2}. Give prob of picking 1 z and 1 e.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/(-6) - -5)*(-2)\/(-1). Let h be ((7 - 2)*1)\/(y - -6). Solve 5*v = g + 2*g + 16, 4*g - h*v + 18 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from tltmqqttlml.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*z - 103, -2*g - z - z = -52. Calculate the remainder when 119 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 + 25*c + 122. Let r be y(-5). Calculate the highest common divisor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:04 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32, -60, -84, -104, -120, -132?\n\"Answer: 2*c**2 - 34*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*x = 156*x - 3*t + 1539, -3*t - 991 = -2*x. Is 492 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/3*21\/14. Suppose -4 = j - 3*j. Suppose 0 = j*t - 3*k - 22 - 0, 5*t + 5*k = 30. Solve -4 = u - m, -3*m = -b*m + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 30*p - 4. Let d be g(3). Suppose -4*v = -d + 30. Calculate the remainder when 27 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 - 17*i**2 - 9*i + 10*i + 34*i**2 + 49*i**2 in the form z*i + d*i**2 + l + f*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476129047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*y + 239*y + 246*y + 298*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-1 - -2 - 48). Suppose -3 - m = 4*a. Let i be (a\/9)\/(15\/9). Is i < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.016086 + -5.016086. Let f = 808\/231 + -62\/21. What is the second smallest value in n, f, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 17736*t**3 + 1252545*t**2 + 21983850*t.\nAnswer: -3*t*(t - 5982)*(t + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 2*u**2 - 8*u - 4. What is q(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1553.000000843 - -1553. Round l to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82450 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2606?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5199 - (-3)\/9*(5 + -2). Suppose -5*l + o = 3*k, -14*k = -4*l - 11*k + 4160. List the prime factors of l.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1497.2387 to the nearest 10.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29987*q**3 - 32604 + 65200 - 32596.\nAnswer: -29987*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6777\/5 or 5?\nAnswer: 6777\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w + 17*w + 16929 = 0. What is the greatest common factor of w and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154527.\nAnswer: 3, 19, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-17)\/u**(-1\/38))**(-1\/15))**45 assuming u is positive.\nAnswer: u**(1935\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -2 - 3\/40*b**5 - 1\/4*b**4 + 11\/120*b**6 + 6*b + 0*b**2 - 1\/56*b**7 + 1\/3*b**3. Determine t so that j(t) = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 540707329*d**3*v**3 + 2*d**3*v**2 + 7*d**2*v**2 - 4*d*v**2 - 2*d*v - 400*d + 71 wrt v.\nAnswer: 3244243974*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48\/(-14))\/(12\/(-126)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -28\/39623?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37136 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 5 (b) 2\/31 (c) 0.1178 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3*s*v - 2*k**3*s - 4700576*k**2*s - 86716*k*s*v - 16*v wrt v.\nAnswer: -k**3*s - 86716*k*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19876580 is divided by 460.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 7*u**2 + 21*u**3 - u**4 - 20*u**3 - 10 to h*u**3 + w*u + t*u**2 + j*u**4 + q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196*m**3 - 84*m**2 wrt m?\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30434546 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34888 - -34892. What is the nearest to 0 in 0, n, 225?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 2*h + 5*x, 11*h = 9*h - x + 549. Calculate the greatest common factor of h and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 76 - 8. Let c be -2*(-2)\/4 + 55. What is the greatest common divisor of c and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28335?\nAnswer: 3, 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*2*sqrt(33))\/sqrt(3) + -2).\nAnswer: -16*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2347 + -2352. Sort o, 1, 2667.\nAnswer: o, 1, 2667","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315+532\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + t. Let c(z) = 7 - 2 + 0 + z. Let p be c(t). Solve y - p*y = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114\/7*g**2 - 3\/7*g**3 + 0 - 1083\/7*g.\nAnswer: -3*g*(g - 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let n(x) = x - 18. Let f(m) = 125*m**2 - 15*m + 270. Let w(s) = -f(s) - 15*n(s). What is w(u(b))?\nAnswer: -125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-0.4706.\nAnswer: -0.014118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-1*(-12)\/(-12988))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*x = 4*x - 25243, -x - 12623 = -2*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:54 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 310122451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**3 - 3*i - 1. Suppose x = 3*x + 4. Calculate the remainder when y(x) is divided by ((-12)\/5)\/(2\/(-15)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrherehrrrhrerh. Give prob of sequence rr.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*1\/((-9)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2065\/3 + -687. Let g(a) be the third derivative of 1\/120*a**5 - 1\/6*a**4 + 0 + d*a**3 + 0*a + 11*a**2. Determine z, given that g(z) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*m + 7, -l = 2*m + 2*m. Suppose -49 = -9*d - l. Solve -2*g + 2*t + 1 = t, -d*t + 7 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:33 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 34*d**2 - 32*d + 49. Let j be z(-33). Suppose 4*s = 6*s. Suppose s = -43*x + 47*x + j. Let h(l) = l**3 + 5*l**2 + 5*l + 4. Calculate h(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1167 + 7*y**2 - 1162 + 2329.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117128 and 792?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-15))\/(2\/(-5)). What is the second derivative of 3*l + l**2 - c*l**2 + 2*l**2 wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**7\/21 + 17*y**3\/6 - 12*y**2. Differentiate z(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31047, -62096, -93145, -124194?\n\"Answer: -31049*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1522, -1523, -1524, -1525, -1526?\n\"Answer: -f - 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w - 2 - 4*w - w. Suppose -5*o + 8 = 38. Let a be 10*(-3 + (-15)\/o). What is c(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 3*r + 2. Let k be 174\/10 + 12\/20. Suppose -8 = h - 3*b, k = 3*h - 4*b + 47. Let v = 13 + h. Determine p(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 270*y - 1. Let p(x) = -2*x**2 + 3166*x + 3*x**2 - 6324*x + 3158*x. Determine p(q(n)).\nAnswer: 72900*n**2 - 540*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 8*a**2 + 20*a + 8. Let y = 12 - 22. What is the least common multiple of 12 and g(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*o**3*r*y - 4786*f*o**3*r + 3*f*o**2*r*y**3 - 164*f*r*y**3 + 3*o**3*y**3 + 38*o**2*y**2 + r*y**2 wrt o.\nAnswer: -6*f*r*y - 28716*f*r + 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 + 153. Calculate the smallest common multiple of n and 49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 7*z - 105 = 0. Let l = -12 - z. Solve 3*j + y + 6 = 0, -4*y - 1 = -l*j + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236\/1995 + 2\/133. Let q = -110\/3 + 36. Let r = 2\/3587 - -3581\/10761. What is the nearest to 1 in r, n, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89636243 + -30416.\nAnswer: -89666659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 9*m**2 - m - 7. Let f be w(-9). Suppose k = f + 1. Solve -2*g = k*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16170341.\nAnswer: 11, 389, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557600, -557613, -557626, -557639, -557652?\nAnswer: -557665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -11. Suppose -p - 11 = 4*g, 0*p - 6 = 2*p + f*g. Solve 2*y = -p*v - 5, 4*y - 4*v - 3 = -v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 96?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 - -527\/3. Let l = 825 - 742. Suppose 986 = -l*z + 54*z. Find the common denominator of d and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 - 9*j**2 - 6*j + 21. Let w(z) = -z**3 - 2*z**2 - z + 4. Let h(k) = 4*p(k) - 21*w(k). Suppose h(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n + 19. Let y be l(0). Solve -f = 2*w + 6, -5*w - y - 9 = -4*f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80711468315622 + 0.6?\nAnswer: 80711468315622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38.09 and -6.\nAnswer: -44.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49417.89 years in centuries?\nAnswer: 494.1789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = -3*x, -3*x - 4*m = -x + 10. Suppose -4 = -s, 0*p + 2*s = p + x. Calculate the highest common factor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/2 - 2*y**2 + 72*y. Let v(c) = -12*c + 13. Let m(b) = 7*u(b) + 2*v(b). Calculate m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 443095669 = -335604331. What is y rounded to the nearest 1000000?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/3 - 10*d**3 - 4367*d**2\/3 + 22960*d + 5271616\/3 = 0 for d.\nAnswer: -41, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 29, 45, 59, 71, 81, 89?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (26\/39 - 87640\/(-21)) is divided by 1389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9876 is divided by 1095?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611*n - 602*n = 81. Calculate the remainder when 44 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 7*q**2 + 3*q - 8. Let f be t(-6). Suppose 0 = f*g - 4*g + 186. Let v = -18 - g. Calculate the remainder when 51 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15 - 10*m + 12 + 1 + m**2. Calculate o(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48300*j - 22264 with respect to j.\nAnswer: 48300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 785 = -g, -8*g = -8*c + 11*c + 650. Is -192 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykyyyyykyyyyyyyyyky. Give prob of sequence ykky.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 plus 8.8?\nAnswer: 8.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -252*f + 18397. What is z(73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 8*m**3 + 35*m**2\/2 + 39. Find the second derivative of g(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 663, -1.\nAnswer: -81, -1, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 2, w: 1, e: 1, m: 5}. Give prob of sequence ewbi.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose 5*g - 13 = r. Let y = 34 + g. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -544 + 807. Let w = f + -262.999815. Round w to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165401 divided by -165401?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -6 (b) 1278 (c) 4 (d) -219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + -2*sqrt(363) - (0 + sqrt(363) + -2)) + 3)**2.\nAnswer: -8316*sqrt(3) + 118053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 173740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 372689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.817, -2\/7, 2, 0.5, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (193\/(21616\/(-3108)))\/((-6)\/(-8)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j - 64. Let v = j + 24. Find the third derivative of 0*o**4 + o**2 + v*o + o**4 - 8*o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26\/(a\/(a**(-20)*a)))\/((a**2*a)\/(((a**(2\/43)*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(88\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i - 10*i - 19 - 2 - 4 to the form b + d*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -b0053?\nAnswer: b0053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niri when four letters picked without replacement from {v: 4, n: 3, i: 2, r: 2, w: 6}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**9\/1512 - a**7\/420 - a**3\/3 + 2. Let q(y) be the third derivative of f(y). Factor q(b).\nAnswer: 2*b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360064 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11195*j**4 + 31*j + 84855 wrt j?\nAnswer: -44780*j**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -78, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12666605 is divided by 62397?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 58558722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 less than or equal to 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.41 + 3.59. Let i = -32 - -32.31. Which is the second smallest value? (a) i (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742837116 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p = -127*p + 64*p - 2*h + 2, 4*p - 5*h = -23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-154))\/((-1260)\/(-98) - 13)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.06. Let t = 0.05999792 - d. Round t to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:55 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 8, -3*l - 5*h + 5952 = 2131. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let s = z - 3. Put 1, 1\/4, s in decreasing order.\nAnswer: 1, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1336565 (base 7) to base 13.\nAnswer: -62b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -1, -18891, -26 in decreasing order.\nAnswer: -1, -17, -26, -18891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 2*s**2 + 2*s + 1. Let j be u(-1). Factor 18*g**3 - 20*g**3 + 2 + j*g**2 - 2*g**2 + 0*g + 2*g.\nAnswer: -2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:03 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905 + 1898 - q - 3803.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0.3, -2\/5.\nAnswer: -13, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/3)\/f))\/(f\/(f\/(f\/(((f\/(f\/f**41))\/f)\/f*f*f*f)))))**(-1\/20) assuming f is positive.\nAnswer: f**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 105720942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 26*w**2\/3 + 61*w\/3 - 2990\/3.\nAnswer: -(w - 23)*(w - 13)*(w + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 13*p + 4 = 0. Let j = -2 + p. What is the closest to 3\/7 in j, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1587 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.28097 litres to millilitres.\nAnswer: 95280.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/(-2) + (-116)\/(-8) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r - 7. Let x(o) = 37. Let d(k) = -147. Let n(a) = d(a) + 4*x(a). Calculate 14*n(j) + 2*z(j).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23881.76332415 from -1.\nAnswer: -23882.76332415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32517469*b**3 + 838*b**2 + 4488*b?\nAnswer: 195104814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o**2\/7 - 485204*o\/7 + 107824\/7 = 0 for o.\nAnswer: -26956, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -80*l + 10. Let o be w(-3). Suppose 6*c - o = c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c*s**2 + 40*c*s + 8*s**3 + 2*s - 3 wrt s?\nAnswer: 8*c + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782358?\nAnswer: 2, 43, 32353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiu. Give prob of picking 1 i and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2135.\nAnswer: 3\/2135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n = 2*z + 23*n - 86, z + 41 = -2*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -30 (b) 3\/4 (c) 1\/3 (d) 2 (e) -0.044\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 + 29009*b - 3*b**2 + 2*b**2 - 29010*b + 65*b**3 as x + p*b**2 + y*b + c*b**3 and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.9048142 to 1 dp.\nAnswer: -199.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 93?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -43 (b) 9 (c) -0.3 (d) -2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 1810*c**2 + 48425*c + 46620.\nAnswer: 5*(c + 1)*(c + 28)*(c + 333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2 + 0 - 33\/(-6). Find the second derivative of 19*i - 11*i + 12*i - 4*i**v - i**4 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81485081 and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*v - 28*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 1226*d**2 + 72 - 31 - 17 to the form l*d + u + p*d**2 and give p.\nAnswer: -1226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/44*0)\/(-1 - -3). Solve r = -13*q - 0*q - 52 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*c - 14, -2*s = -4*c - 3*s + 43. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2155 by 4.\nAnswer: -2155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45662 is divided by 4237.\nAnswer: 3292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (310\/(-6) + 1)\/(26\/(-39)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**2 + 43*i**3 - 39*i**2 + 38*i**3 + 133*i**2.\nAnswer: 81*i**3 + 63*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 175?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -21*l**3 + l**2 - 10*l + 9. Let v = -3 + 9. Let x be a(v). Let g = x + -4249. Round g to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2 + 2 + (-2 - 2 + 3)*(3*s - 2*s + s))*(-2*s**2 + 9*s**2 - 3*s**2).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 9*g**2 + 7*g - 162. Let k be x(10). Solve 2*t = -t + d, t + k = 3*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4)**(-38))**(-10\/7) assuming q is positive.\nAnswer: q**(1520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30804436*j**3 + 2*j**2 - 36585*j + 43 wrt j?\nAnswer: 184826616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 + -5. Let j = -0.898 + 0.59. Let g = j - d. Round g to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 462.8 - 397. Let n = y - 66. Which is the second biggest value? (a) n (b) -2\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnn. Give prob of picking 1 g and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*b**3*r**2 + 16853*b**3*r - 1527*b**2*r**2 - 8*b**2*r + 3*b*r**2 + 3*r wrt b?\nAnswer: 1092*r**2 + 101118*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142884*g + 142882*g + 4*g**3 - 285766*g - g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 7944102?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6280 from -117.\nAnswer: 6163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -57 - (-1 + -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*s + 3*s**2 - s**2 + 73*s - 26*s - 355*s in the form j*s + i + t*s**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) -0.2 (c) -1\/1004 (d) -0.4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 25 - 8*h + 0 - 2. Let t be s(-23). Suppose -2*n + t = 31. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*q - 10 = 34, 3*q + 66 = 4*z. Let n = z + 47. Calculate the highest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 3 + sqrt(425) + 2)*3*5)**2.\nAnswer: 56250*sqrt(17) + 2396250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012163 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -8*v**2 + 26\/3*v**4 - 8\/3*v**3 - 12*v - 169\/15*v**5 + 0. Let d(w) be the first derivative of o(w). Factor d(h).\nAnswer: -4*(13*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -6. Let c = w + 1. Suppose c = -r + 2*r - 27. Calculate the highest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 - 16.5. Let x = -12.9 - o. Which is the closest to -4\/3? (a) -2\/9 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296 - 76. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3576*q. Let f(d) = 43201*d. Determine n(f(s)).\nAnswer: 154486776*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t + 1. Let s(a) = 3*a**2 - 9*a - 6. Let c(x) = -2*f(x) + s(x). What is the tens digit of c(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40740 and 11640.\nAnswer: 81480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 342 = 2*g, u + 2*g = 6*u - 566. Let w be 2 + u + (1 - -4). Let z = w + -97. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 - 7*l - 2. Let j(q) = -2*q + 1. Let h(k) = k**2 - 5*k + 3. Let m be h(4). Calculate the remainder when f(-6) is divided by j(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/100 or 0?\nAnswer: -7\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -25\/1404?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495 (base 13) to base 7.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 85847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 1224?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8426736 is divided by 4213233?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154954164 by 38738541.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 10:02 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67904567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*q = 5*p - 24, 5*p = 3*q - 2. Suppose p*n = -0*n + 30. What is the smallest common multiple of n and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 + 167. Which is the third smallest value? (a) k (b) -1 (c) 6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 u, and 1 x when four letters picked without replacement from {x: 4, g: 4, u: 3, l: 5, n: 1, a: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131\/556 - -2\/139. Sort -5, 0, w.\nAnswer: -5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 15*i**2 - 15*i + 16. Let m be d(14). Which is the nearest to 12? (a) 3 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1036, -1034, -1022, -994, -944?\n\"Answer: n**3 - n**2 - 2*n - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001351471739 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -63*h - 3466. Give g(-39).\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1288428, 2576856, 3865284, 5153712?\n\"Answer: 1288428*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aihx when four letters picked without replacement from iihauhuhiuxiiiatuhi.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1595 = 2949*h - 2920*h. Solve 0 = 6*j - h + 19 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.5 - 8.48. Which is the nearest to 1? (a) -0.4 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20\/189 - -158\/2079. Find z such that 0 - j*z**2 + 2\/11*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*6)\/(sqrt(60)\/sqrt(3)) + (sqrt(1377) + 4*1*sqrt(1377) - (sqrt(1377)*-3 + -2)).\nAnswer: 2 + 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 minus 0.87?\nAnswer: 98.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 7, -14, -51, -104, -173?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1 + 5 + -1). Let n be ((-4)\/v)\/(28\/(-441)). Suppose 0 = -3*c - q - n, -6 = c - q + 1. Is -10 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1087*a*n**3*w**2 - 2*a*n*w - a*n - 64*a + 4*n**3 + n**2*w**2 + w wrt w?\nAnswer: -2174*a*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 281*a**2 - 6*a + 6. Let z be q(1). Let t = z - 142. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/70 + 5\/14. Let -y*r**3 + 1\/5*r**2 + r + 3\/5 = 0. Calculate r.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3312210 (base 4) to base 5\nAnswer: 1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 3*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10748, -42853, -96314, -171131, -267304, -384833, -523718?\nAnswer: -683959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.796 + 7.796. What is the fifth smallest value in -6, o, 12, 5, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 1160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7368 - 3256*g - 7368 as z + x*g and give x.\nAnswer: -3256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 508*(-16)\/256 + 28?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 20*t**2 + 190*t - 98. Give j(27).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -26. Let g = k + 11. Let n = -7.63 - g. Round n to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 22\/7, -362 in decreasing order.\nAnswer: 22\/7, -3, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + 0.04. Sort 0.4, 0, k, 2 in ascending order.\nAnswer: 0, k, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*j - 224*j - 4 + 439*j + 10.\nAnswer: -52*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (18\/1080)\/(8\/(-48))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.96432 - 3370?\nAnswer: -3372.96432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g - 23. Let z be t(-5). Suppose z + 3 = 3*m, -3*q + 355 = 2*m. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = 46. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -3*l + 84633 - 84711, 0 = 4*l - 5*f + 49 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 75. Let r(g) = -g**2 + g + 2. Let j be r(-2). Let x be (-30)\/(-7) + j\/14. Sort -1, l, x.\nAnswer: -1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2975 (c) -13 (d) -4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let u be (d\/2)\/(4\/(-16)). Solve s + 15 = u*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 7) to base 2.\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -15680?\nAnswer: 15681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 50. Suppose q - d = -9. Let v be -2 - 5\/(10\/4). Put v, -1, q in descending order.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 3*x + 3*x)*(-6 - 5 + 8)*(3 - 1 + 0) to the form u*x + i and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-4 - (16 - -4)). Let r(u) = -4*u**3 - u**2 + 1. Let z be r(-1). Suppose 0 = -5*j + s, 9 + 19 = z*f - 2*j. Solve 2*a = -a - f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 18. Let g be c(-11). Calculate the greatest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 1\/5 (c) -1273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 14 = 8*p. Suppose -2*s = -10 + p. Let x = -0.07 + 0.09. Is s smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (0 + -1 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -413427 (base 8) to base 2\nAnswer: -100001011100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + ((sqrt(252) - (sqrt(252) + 0)) + sqrt(252) + -3 - sqrt(252)*-2*-6) + 5)**2*3.\nAnswer: -396*sqrt(7) + 91479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/233, -0.9, 1\/4?\nAnswer: 1\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6849, 13707, 20551, 27375, 34173?\nAnswer: 40939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*c + 5, -2 = -w - w - 2*c. Let p be 68\/(-18) + -4 + 272\/72. Let k be (-70)\/p*6\/21. Sort 9, w, 0, k.\nAnswer: 0, w, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.6 and 4298381.1626939.\nAnswer: 4298379.5626939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -14*k - 21. Let z(h) = -h**2 + 14*h - 23. Let b be z(13). Does 25 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -704, -2891, -6400, -11117, -16928, -23719?\n\"Answer: 19*w**3 - 775*w**2 + 5*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 19*p + 234. Let v be q(-12). Calculate the greatest common divisor of 786 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 4.5. Let q = 3 - o. Let s = 0.16 + -3.16. Which is the nearest to 0? (a) s (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 2) + (97 - 48) + 31?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -188457 and -188460 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32986, -42657, -52328, -61999, -71670, -81341?\n\"Answer: -9671*g - 23315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away -99.3?\nAnswer: 109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*t - 29, z - 3 = -t + 7. Calculate the greatest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 18*c - 14 = -15*c, a - c - 3 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1002105, 2003962, 3005819, 4007676?\n\"Answer: 1001857*w + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**2 + 3. Let i(f) be the second derivative of -2*f**4\/3 + f**3\/6 + 2*f**2 + 9*f + 27. Determine 2*i(c) - 3*x(c).\nAnswer: 8*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3131 divide 116855182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.3729 + -0.0729. Let q = 40 - k. Let o = 5 - 4.6. What is the smallest value in q, 0.3, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 1. Let m(u) = -2. Let o(l) = 2*d(l) - m(l). Let v(f) = -f. Determine v(o(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406184.\nAnswer: 2, 50773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4633 + q - 4666 - 5*q. Suppose 5*a + 2 = -4*b - 40, -5*a + 2*b - 54 = 0. Is 5 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 + g - 1. Let u be j(1). What are the prime factors of -1 - (u*-2 - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2205.4035*0.2.\nAnswer: 441.0807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(26\/4 + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.98 - 0.02. Suppose 16*y - 287 - 33 = 0. Suppose 23*m - y*m = 6. Which is the biggest value? (a) 5\/3 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 7*o + 2. Let q(k) = 3*k**2 - 21*k - 7. Let w(h) = 4*q(h) + 11*s(h). Calculate w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1250.6 - 0.1.\nAnswer: 1250.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/4))**40)**(-25)*(o*o*o**(-2\/5)\/o)**(-10)*o**(-3\/7)\/(o\/o**(-4)) assuming o is positive.\nAnswer: o**(-8830\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -23) + (22 - 6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18912 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5975)\/6660 + 1 - (-8)\/72 and 17\/1332.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2 + 5*s + 7. Suppose 3737*c = 3837*c + 100. Let p(h) = h**2 - h - 1. Calculate c*q(w) - 6*p(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1053780 * 25\nAnswer: 26344500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17415164*l*t**3 - 2*l*t + 2192*l - 2*t**2 + 27*t - 3 wrt t?\nAnswer: -104490984*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -79 (b) 2\/83 (c) 55 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 45*i**2 + 334*i + 87. Determine z(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-2 + (8 - -1) + 7) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10 and 83\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*g - 173*g = -1643 - 3877 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 6 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - -4 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-3\/8)\/s)\/(s\/s**(14\/5)*s))**(1\/3))**(1\/67) assuming s is positive.\nAnswer: s**(17\/8040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104421340324 - 40?\nAnswer: 104421340234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/654 and -25\/1962.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -178 (base 10) to base 7\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1933611 and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -299 + 309. Suppose -28 = -b*u + 2. Let t(c) = -c**2 + 6*c + 9. Let m be t(7). Solve 0 = u*d + 3*s - s + 7, d - m*s = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2624 and 3968?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/9*((-234)\/45 + 4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 132 + 97. Calculate the greatest common divisor of s and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 1. Let m(i) = 17 + 38*i + 44*i - 15 - 84*i. Give -4*f(b) - 3*m(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 6*a**2 + 7*a + 6. Let j(v) = -7*v - 15. Let u be j(-3). Determine i(u).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 14. Let m be f(16). Let s be -9*8*(-5)\/m. Suppose -5*a + 665 = 5*u, -383 = -5*u - 3*a + 280. What is the greatest common divisor of s and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + (-80)\/15)*18. Solve 0 = -23*s + 27*s + v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyygmgyyymyyggy. Give prob of sequence gmy.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaaaavvvaaa. Give prob of sequence aa.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 282103503 to the power of 1\/2, to the nearest integer?\nAnswer: 16796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {z: 2, c: 2, q: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Suppose v = -d - d. Let k = 0.3 + 0.7. Which is the closest to -1\/4? (a) -1 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145380659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 3*t - 10*t. Let g(i) = 2*i**2 + 5. Let w(o) = 1. Let p(a) = -g(a) + 5*w(a). Determine z(p(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 5, 21, 57, 119?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -0.11?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -239. Suppose 5*g = -r + 221, -3*r + 2*g + 612 = -0*g. Suppose 11*n - r - z = 0. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18373941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 315\/(-1140)*(-208)\/546?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*27\/(3 - 6). Suppose b*l + 4 = 5*l. Let i(m) = -11*m**3 - 1 - 2*m**3 - 3*m**3 + 0*m - m. Determine i(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -12. Find the second derivative of -2*k + k - 8*k**d + 3*k**4 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71 + 56 - (0 - 25)) + (2 - 84).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 3, -1, -10052.\nAnswer: -10052, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gojj. What is prob of sequence og?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 + 122 + 31*c**3 + 130.\nAnswer: 31*c**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221646 (base 8) to base 10.\nAnswer: 74662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 15 - (-37 + 72 + -33 + 20).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2223*r + 51941 - 238673 for r.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -3.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.1 + -20.2. Which is the fourth biggest value? (a) 14 (b) o (c) 0.04 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 8) to base 14\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 6. Let k be s(-4). Let z(q) = 9 + 56*q + 58*q - 116*q. Is z(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*n - 320354140 = 242*n - 253*n. What is n rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 - 12 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-32) + 0)*59\/(-295). Let z = 9\/16 + h. Which is smaller: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19*r - 499. Determine p(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*t - 2 - 18, 2*t - 2*s = 4. Let x(u) = 2*u - 2. Let n be x(t). Let y = 20 - n. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m + 5 = 0, i + 5*m - 18 = 0. Let x = i - -49. Suppose 27*j = 31*j - x. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5403 is divided by 74?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -220232 (base 4) in base 7?\nAnswer: -10412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(4)*-4)\/(sqrt(4) + -2*sqrt(8)\/sqrt(2)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0107593621 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(3\/(-12)). Suppose 5*d = -k*y - 14, 5*y + 5 - 1 = 3*d. Let t(c) = -8*c - 3. Let m(q) = -q. Let w(u) = -6*m(u) + t(u). Calculate w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513328073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = -5*j. Suppose 5*u = -3*b - 9, b - u + j = 7. Solve -b*a - 2 + 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -1, 7, 5, 2, 1.\nAnswer: -6, -5, -1, 1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 85\/4 - 9\/(-12)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.167 (b) -29 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u - 11*u + 17*u to k + j*u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*q. Solve q*u = 7*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 3*i)*(-i - 2*i + i) + (0 + 0 + 2*i)*(5*i - 6*i - 6*i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6232 + -1698. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 252, 15, -3 in descending order.\nAnswer: 252, 15, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(32\/11 + -3). Let h = i + -17. Let x(m) = 3*m**2 + 8*m. Is 12 a factor of x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 3*(sqrt(1573) + sqrt(1573) + 1 + sqrt(1573) - sqrt(1573)) + (sqrt(1573) + 3*1*sqrt(1573) + sqrt(1573))*-6)*3)**2.\nAnswer: -28512*sqrt(13) + 8154756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, v: 1, e: 1, n: 1, r: 2}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4613778 divided by -19717.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15910.849 - 15908. Which is bigger: 2\/19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x = 36954 - 37002. Solve 18 = x*n - 3*m, 0 = 28*n - 32*n - m + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 - 52.57. Let q = 2.1969 + 2.8031. Put 3, f, q in decreasing order.\nAnswer: q, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3547268 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -219 * 251111.\nAnswer: -54993309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 6 + 1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 18*n + 12*n - 65*n + 6*n + 15*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 3*c = -3*a + 12, 0 = -5*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1825, -7231, -16093, -28291, -43705, -62215?\nAnswer: -83701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774827975.\nAnswer: 5, 1979, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.58505 nanograms to kilograms.\nAnswer: 0.00000000003958505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7135 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnp when three letters picked without replacement from {p: 4, n: 1, m: 2, t: 1, k: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 5. Let m(b) = b**2 - 3*b. Let o be m(a). What is the derivative of -4 + 2 - s + o*s wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5804*n - 33880 = -6409*n for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 3 (b) -8 (c) -5 (d) 13\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -409\/2 (c) 26.3 (d) 4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -64 + 4. Let j = q + 8. Solve 2*c = o - j, -5*c + o - 6 = -2*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386945 is divided by 557.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-2)\/(-21))\/(16\/(-24)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-395)\/15*(-55)\/(2090\/(-114))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 3*t - 2. Let x be d(-9). Let y = x - 3. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 127 - 56*b + b - 5*b**2 - 127 + 13*b. Let p(q) = -q**2. Calculate u(p(i)).\nAnswer: -5*i**4 + 42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-16.712063\nAnswer: -1.6712063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.002. Let k = -0.00199963 - y. What is k rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose -w + 2 = -7*z + 3*z, 0 = r*w + 2*z - 76. Calculate the least common multiple of w and ((-2)\/6)\/(3\/(-54)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 26*j - 2 + 0 - 2*j.\nAnswer: -28*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 2*z**2 - z - 1. Let a(t) = -5*t**3 - 21*t**2 + 21*t + 12. Let n(r) = -a(r) - 6*w(r). Give n(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 17, 0, 281, -6, 2 in ascending order.\nAnswer: -6, -1, 0, 2, 14, 17, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-seven halves of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3)*-5)\/(5*sqrt(2)*-1))**2 - (3 + 1*sqrt(343)*-5)*-5.\nAnswer: -175*sqrt(7) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 4, -0.6, 8, 3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - 3*a = -63, y - a + 13 = 0. Let b(f) = -f - 9. List the prime factors of b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -27*g. Let v be i(1). Let l be (v\/(-18))\/(6\/8). Suppose l*n - 20 = 6*n. Put n, 1, -3 in ascending order.\nAnswer: n, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.3, -14, 2 in ascending order.\nAnswer: -14, -0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27 + 0 + 11\/(-11). Suppose 3*k = 2*z + 7*k - q, 3*z - 4 = k. Factor z + 3*l**2 - 15*l**2 + 4*l**3 + 13.\nAnswer: 4*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 8*j + 3. Let x be d(-8). Suppose -x*w + 5 = -7. Solve 0*b - w = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*((-2255)\/(-121))\/(-41)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*n**3\/5 - 30782*n**2\/5 + 16654956*n\/5 + 4761072\/5 = 0. Calculate n.\nAnswer: -2\/7, 963, 1236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9\/(-15) + (-253)\/920.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (35 + -46 - -5) + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 156060 + -5?\nAnswer: 156055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 65*y + 562. Determine t(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2144\/65 + 33. Which is the nearest to n? (a) 5 (b) -1 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:21 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 64, 154, 298, 496, 748, 1054?\n\"Answer: 27*z**2 - 45*z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.88298.\nAnswer: 0.176596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 4, 990172 in increasing order.\nAnswer: -77, 4, 990172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27304960 + 1021\nAnswer: 27305981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eele when four letters picked without replacement from {l: 1, g: 1, e: 4, o: 2, r: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5506 - -12196. What are the prime factors of x?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 1136, 3, -10 in descending order.\nAnswer: 1136, 3, -4, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 less than -3052420?\nAnswer: -3052580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 - 875*q**2 - 49115*q - 894645 = 0. Calculate q.\nAnswer: -81, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2 = -q - 2*m, 5*q = -5*m + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -2162, -5216, -9490, -14990, -21722, -29692, -38906?\nAnswer: -49370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 43, 103, 181, 271?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15603 and -1.33847169?\nAnswer: 15601.66152831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3224 + 0?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*p**2 + 9 + 1842*p - 3685*p + 1842*p to the form t + k*p**2 + y*p and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 58. Suppose g = -3*g. Is a(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 57*t**2 - 16*t**2 - 7*t**2 - 20*t**2 - 12*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*f + 49*f - 10*f**2 + (-3*f + 3*f + 2*f)*(-2*f - 5 + 5).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -63, -115, -207, -351?\n\"Answer: -2*w**3 - 2*w**2 - 4*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4106764 is divided by 1761?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)*d**(-2)*d**(1\/3)*d\/(d*d\/d**(-1\/3)))\/(d**(-4\/9)\/(d*d**(-1)*d)*(d*d**(-2))\/d**(-3)) assuming d is positive.\nAnswer: d**(-178\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*r - 12, 3*r - 45 = 4*t - 16. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*p - 53*p + 3224 + 394 + 897 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 + q**2 - q + 2. Let y be n(1). What is the closest to 0.1 in 3\/7, 15, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from hxhhrxhxxxhxxxrrhh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4581893 divided by 3\nAnswer: 4581893\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1 + sqrt(17) + -3 + (sqrt(153)*2)**2)*-4 + (-2*-1*sqrt(102) + sqrt(102))\/(-6*sqrt(6)*-2).\nAnswer: -2436 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 324 - 3329*p**3 + 363 + 8156*p**3 + 5519 wrt p.\nAnswer: 14481*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -48*w**2 + 319*w - 4049. Let t(r) = -123*r**2 + 798*r - 10122. Let y = 64 - 46. Let c(f) = y*o(f) - 7*t(f). Factor c(p).\nAnswer: -3*(p - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -63. Let b = -46 - a. Solve 4*f - 1 = b, 5*w = -2*f + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyqpyyplppplllwylyq. What is prob of picking 3 l?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403*u**4 + u**2 - 45.\nAnswer: 9672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1271 and 51739?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) - sqrt(600)*-2)\/(sqrt(648) + (sqrt(648) - (sqrt(648) + 2*sqrt(648))) - sqrt(648)) + -5.\nAnswer: -5 - 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**5\/60 - c**4\/24 - c**3 + 1. Let o(f) be the third derivative of t(f). What are the prime factors of o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3201*g**3 + 7*g**2 - 49152?\nAnswer: 9603*g**2 + 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5629*s + 2820*s + 2800*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490374, 490855, 491336, 491817?\nAnswer: 492298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6621 minus 100189545?\nAnswer: -100196166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28182, 56304, 84412, 112500, 140562, 168592?\n\"Answer: -b**3 - b**2 + 28132*b + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + (-2*sqrt(500) - sqrt(500))) + 3)**2.\nAnswer: 1200*sqrt(5) + 72025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 16. Let n be h(7). Is 0 - n - 639\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.327 hours in seconds?\nAnswer: 1001977.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61227003?\nAnswer: 3, 20409001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -19*y**2 - 43*y + 119. Let w(t) = -7*t**2 - 16*t + 40. Give -3*b(z) + 8*w(z).\nAnswer: z**2 + z - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)\/d)**(-4\/15)\/(d**7)**(3\/5) assuming d is positive.\nAnswer: d**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m\/m**(2\/5)*m*m)**(-1\/10)\/(m*m**(-4)*m\/(m**2\/m)) assuming m is positive.\nAnswer: m**(61\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11331414403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 13*z**2 - 8*z + 17. Let k(l) = l**2 - l - 1. Let f(u) = 3*k(u) + y(u). Give f(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180 - 164 = -12*z. Is 2\/4 + 5589752\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 455, -121 in descending order.\nAnswer: 455, 78, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112837 is divided by 56354.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -442142, -1768581, -3979312, -7074335, -11053650, -15917257?\n\"Answer: -442146*s**2 - s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 332*p**2 + 2*p - 27. Is d(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(4*y**4 - 3*y**4 + y**4) + (-2 + 3 + 2)*(-2051*y**4 + 3516*y**4 + 1928*y**4) to the form v*y**3 + l*y**4 + a*y**2 + x*y + k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -43*m**2 - 9*m - 8. Let r(g) = 172*g**2 + 30*g + 36. Give 9*p(l) + 2*r(l).\nAnswer: -43*l**2 - 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 867 + (-36)\/6 + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (3 - (17 + -36) - (14 + -72))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**7\/15 - 7*a**5\/60 - 13*a**2. What is the third derivative of k(z) wrt z?\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 3*j**2 + j - 5. Let x be -1 + (0 - 2) - 1. What is the units digit of o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**2 - 56315880*i = 0.\nAnswer: -14078970, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*n**2 - 9*n**2 + n**2 + 5*n**2 as v + y*n**2 + c*n and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -284, -231, -164, -77, 36, 181, 364?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -348, -151 in decreasing order.\nAnswer: 2, -3, -151, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142354017 to the power of 1\/2, to the nearest integer?\nAnswer: 11931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -930 to the nearest 10.\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 + 4. Let a be h(0). Suppose 4*u + a*q - 4 = 0, -4*u + 5 - 1 = 2*q. Is (u\/(-2))\/(4\/(-80)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-21)\/16))\/(((-47600)\/204)\/50).\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275768.8 decades in years?\nAnswer: 2757688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 48807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 17*y + 2. Calculate the remainder when 50 is divided by 12 + (0 - -2) + y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -859846 + -3.2\nAnswer: -859849.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464 - 462 - 780*a - 467 - 463 - 466 + 2315.\nAnswer: -780*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) 1 (c) 3 (d) 44143383 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1961*k**2 - 46666744*k + 46666744*k.\nAnswer: 1961*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/57 (b) 281 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2 + 6*v + 4. Let w be q(-7). List the prime factors of w\/(-4) + (-6)\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 347493, 694988, 1042483, 1389978, 1737473, 2084968?\n\"Answer: 347495*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 - -0.236. Let s = -0.134 - p. Which is the second biggest value? (a) s (b) -3\/5 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10108 is divided by 421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(720) - sqrt(720))\/((sqrt(99)*2)\/sqrt(11))*4.\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -29*b**6\/120 + 3*b**5\/5 - 2*b**2 - 2*b. Find the third derivative of t(y) wrt y.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(-6))\/j))\/j**(-2\/13))\/((j*j\/j**(-1\/13)*j)\/j**(-4\/3)) assuming j is positive.\nAnswer: j**(107\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 52 = -17*b + 17*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -416572, -833169, -1249778, -1666405, -2083056, -2499737, -2916454, -3333213?\n\"Answer: -q**3 - 416590*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2 (c) -3 (d) 1087 (e) 4 (f) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 7}. What is prob of sequence ddv?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1.378419\nAnswer: 0.2756838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzp when three letters picked without replacement from zzzzpzzzpzzzzzzzzzzp?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 541613446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**3 - 11*g**2 - 12*g + 9. Let k be m(-9). Let f = -466 - -470. Suppose f*o - 10*o = -k. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 78, 97, 94, 63?\n\"Answer: -k**3 - 2*k**2 + 48*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.67 + 0.7. Let t = -107.01 + 107. What is the smallest value in 1, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50475, 201735, 453777, 806595, 1260183, 1814535, 2469645?\n\"Answer: -z**3 + 50397*z**2 + 76*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.054 * -0.91\nAnswer: -0.04914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnbsbnknkfnnb. What is prob of picking 2 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/((-5)\/2))\/(3\/15). Suppose 17 + 17 = s*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1500*c**4 - 4*c - 48 wrt c?\nAnswer: 18000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 3*t = -3, t - 1 = s. Solve -w - 5 + 4 = s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -338*m**2*q + 145*m**2 - 5*m + 709*q + 26170 wrt m?\nAnswer: -676*m*q + 290*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 253630890?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -131. Suppose u + 3*r - 9 = 0, 24*u - 19*u + 3*r - 81 = 0. Solve 0 = l - z + u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(4 - 4 - n) + (4 + 5 - 2)*(-4*n + 3*n - n).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50909696 divided by 544?\nAnswer: -93584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10236043 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)\/(1\/3). Let u be 4 - (3 - 6)\/m. Which is the nearest to -1? (a) u (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156150 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 90120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2867.\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 245165 * 5\nAnswer: 1225825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -908*l**4 - 2*l**3 - 19 + 13*l - l**2 - 10*l + 902*l**4 in the form c*l**2 + o*l**4 + m + z*l**3 + h*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + ((-270)\/(-105) - (2 + 68\/(-28))). Solve -2*f + 0*f + 2 = 0, 0 = -t*k + 4*f + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 0, 4*x - 13*x - 5*n = -5*x - 216. Solve -31*y = -13*y - x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 222529920 and 21829?\nAnswer: 222508091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1445555441 - 2?\nAnswer: 1445555436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/7, -2, 1773?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14643 (b) 2\/7 (c) 0 (d) 10 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - 37*t**2 + 5*t + 90. Let m be z(12). Solve 0 = -5*d - g + 8, -m*d = -11*d + 5*g - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5216 less than -5216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247 - -205. Let j = o - -42. Which is the biggest value? (a) 3.4 (b) j (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 14*g**2 + 14*g + 1. Let l be o(-13). Let n be l\/(-9)*(0 - -6). Let a(y) = -y**3 - 17*y**2 - y - 10. Let t be a(-17). Is t at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36193 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -1269\/10. Let i = -34\/33 - 1205\/528. What is the common denominator of i and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -6 (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c + 24*c - 7117968 = -137*c. List the prime factors of c.\nAnswer: 3, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j. Let w(c) = c**3 + 3*c**2 + 3*c - 7. Give 3*b(y) + w(y).\nAnswer: -2*y**3 + 3*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-16)\/(-44))\/((-3)\/(33\/2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*z - 5 = 0, 3*z = 2*b + z + 16. Let o be (-17756)\/(-24) - b\/18. Suppose -r + 4*i = -379, i + o = 2*r - i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:27 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) + (sqrt(7) - (sqrt(847) + (sqrt(847)*1 - sqrt(847)))) + sqrt(7) - sqrt(7)) - 2*sqrt(52)*-3.\nAnswer: 107*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(1\/5)\/q)\/q)*q)**(1\/76)\/(q**(2\/3)*q*q**23*q))**3 assuming q is positive.\nAnswer: q**(-1537\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 - 3*v**2)*(2*v + 2*v - v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.8*-1384597\nAnswer: -5261468.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8) - 2\/(-4). Let j = 19 - 19.5. Let l = 3\/4 - 5\/8. What is the closest to w in 2, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 2*f - 5*f + (3 - 1 - 3)*(-3 + 3 - f) - 2*f + 221 + 83 + 260.\nAnswer: -9*f + 564","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18791 and 8391407.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g. Suppose g*u - 5 = -u. Suppose 0 = 5*k + 5*n - 65, -u*n = -k - 4*k + 75. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yid when three letters picked without replacement from {i: 3, d: 2, q: 5, s: 1, y: 1, j: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/219508 and 71\/12.\nAnswer: 658524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (325\/(-4800)*-24*6)\/((-9)\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680*l - 1496*l - 253*l + 97*l - 1664*l.\nAnswer: -2636*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11037\/5 - 2208. Which is the third biggest value? (a) x (b) 126 (c) 4\/3 (d) -2\/17 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 128 + 119. Factor -l - 159*l**i + 155*l**3 + 5*l.\nAnswer: -4*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m + 6. Suppose -4*f + 20 = -4*x, m*f + 3*x + 25 = -2*x. Suppose f*g - 5*g = -665. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1684 (b) -1 (c) -1\/14 (d) 7 (e) 0.072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 0*k**2 - 15*k**2)*(1 + 3 + 0)*(0 + 12 + 59).\nAnswer: -5964*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 74 - 0 - (-763)\/(-7)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-48)*(-6)\/4 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137972700 to the nearest integer?\nAnswer: 11746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 614, 3294, 10560, 24704, 48018, 82794, 131324?\n\"Answer: 382*d**3 + d**2 + 3*d + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253302042 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 - -0.03337558919?\nAnswer: -665.96662441081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssdej. What is prob of sequence jss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 1063131.\nAnswer: 7\/1063131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200211012 - -2222?\nAnswer: 1200221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -18*p - 3. Let h(l) = -7*l - 4 + 0*l - 4*l - 8*l. Let f(w) = 5*a(w) - 4*h(w). What is the tens digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*f - 140 = 0, 18*t + 1838593*f + 458 = 1838591*f for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746 less than or equal to 4636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2168 to the nearest 10.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1501*h**2. Let x(v) = -v**2. Give x(l(j)).\nAnswer: -2253001*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:33 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13262, -26137, -39012, -51887, -64762?\n\"Answer: -12875*w - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*2\/1. Let h = p - 3. Let t be 1 - h - (0 - -1). What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*l - 600*l - 340*l.\nAnswer: -1089*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -239 + 237. Put -5, -8, j in ascending order.\nAnswer: -8, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in -3, -5, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 40*z = -0*q - 36*z - 28, -4*q = -13*q - 2*z - 154 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 428. Let u = -326 + s. Put u, -42, 0.3 in decreasing order.\nAnswer: 0.3, u, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/174)\/(4\/(-96))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196 - 246. Let k be (-308)\/315 + -3 + p\/(-18). Sort -2\/7, 1\/12, k in descending order.\nAnswer: 1\/12, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q + 2*q + (-q + 4 - 4)*(-1 - 3 + 2))*(7 + 1 - 2)*(-149*q - 114*q**3 + 149*q) to o + d*q + p*q**3 + c*q**4 + u*q**2 and give c.\nAnswer: -2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 6*h**2 - 2*h + 8. Let d = -19 + 13. Let b be r(d). Solve b = -s - 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 52. Let i(f) = 880*f. Calculate n(i(o)).\nAnswer: 1548800*o**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 10. Determine b(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4583881*d**3 + 3529614062*d**2 + 19782876*d + 27720.\nAnswer: (d + 770)*(2141*d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 75. Suppose 7*u + f = 127. What is the least common multiple of u and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -z - 34. Let r = z - -55. Let u = 3.9 - 3.7. What is the third smallest value in -0.3, -1, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 51. Suppose 0 = -2*b + k + 4. Let r be (b\/9)\/((-1)\/(-6)). Solve r*l - 7 = -a, 4*a - a - 5*l = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249\/2 + -129. Suppose -19*l = l + 80. Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 337, 24, 1?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5148 and 260843?\nAnswer: 122074524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 11. Is (-2)\/7 + 408\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 32.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21946 - -36160. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, -4, -6, -17, -9 in descending order.\nAnswer: 14, -3, -4, -6, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6972241 divided by -224911?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-5))\/(39\/130). Suppose 12 = -3*z - i + q*i, -5*i = -4*z - 21. Which is greater: 6\/5 or z?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 0*d**4 + 1\/3*d**3 + 1\/60*d**5 + 0 + 0*d + 6*d**2. What is the first derivative of p(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (80\/(-2) - 1210\/(-110))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)\/((-2)\/(-26)). Let l(q) = -7*q - 6. Let d be l(3). Let h = 40 + d. Calculate the highest common factor of h and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77677 divided by -3311.\nAnswer: -77677\/3311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c - c)*(0 + 2*c + 0)*(-4*c - 5 + 5).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:50 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/7*((-187)\/(-561))\/((-2)\/(-56))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744600 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38669\/1428 + 963\/28. Let d be (-11)\/17 + 2 + -1. Let u = v + d. Calculate the common denominator of 29\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 643 + 469 = -568. Calculate the remainder when 335 is divided by z.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 + 867\/5. Find the common denominator of m and 65\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(-1*2*sqrt(3)) + -3.\nAnswer: -3 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2044*l + 371 = -2041*l, 817 = 5*q + l. What is the smallest common multiple of ((-1)\/(-3))\/((-1)\/(-3)) and q?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(209)\/(sqrt(495)\/sqrt(5)))**2.\nAnswer: -2*sqrt(19)\/3 + 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(704))**2 - (-1 + sqrt(704)) - (((sqrt(11) + 2)*2 - sqrt(11))**2 + sqrt(33)\/(sqrt(9)\/sqrt(3))).\nAnswer: -17*sqrt(11) + 2790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 - -89. Let x = z - 54. Let m = x - -39. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**4*z - 663*j**2*z + 11543*z wrt j?\nAnswer: 12*j**3*z - 1326*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12241, 48940, 110105, 195736?\n\"Answer: 12233*y**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:31 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*z = -156, -112 = -p - 2*p - 4*z. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11824*t**2 + 21537?\nAnswer: -23648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247705612 divided by 1.\nAnswer: 247705612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*t + 170 = 0, -2*t = -0*d - d + 77. Suppose -4*o + d = 21. Calculate the greatest common factor of 165 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (260\/234)\/(4\/(-3))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29568 - 4?\nAnswer: -2956c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - w = w + 61, 3*w + 46 = 4*c. Suppose 0 = -c*b + 9*b - 4. Let p be (2\/(-4) - b\/(-1))*-2. Solve -p = -5*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1931 = 7*j - 1261. Calculate the highest common divisor of j and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 10\/(-3))*(-281625)\/(-78855).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 3) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21770 divided by 2177\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*m + 132*m = -5*f + 15, -3*m + 4*f = 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8869.357um?\nAnswer: 0.000008869357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:36 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12443105 to the nearest integer?\nAnswer: 3527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -515535, -0.2, -435, 3?\nAnswer: -515535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(192) + -3 + (sqrt(15)\/(sqrt(5) + sqrt(60)\/(sqrt(12)*3 + sqrt(12))))**2)*6.\nAnswer: -612\/25 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**5 - 266*r**4\/3 + 274*r**3\/3 - 34*r**2\/3 - 46*r\/3 + 4 = 0. Calculate r.\nAnswer: -2\/5, 1\/3, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -1492\/2365 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of (-581728)\/(-64) - 1*2 - 6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29086 divided by 29?\nAnswer: -29086\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 634009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w - 150 = 8*w + 90 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 7. Let p be j(-5). Suppose -p*k = 9, -s + 5*k = -0*s - 9. Is (-52)\/s + 1\/3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**20)**(-43) assuming r is positive.\nAnswer: r**(-1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-26.\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8143 and 102?\nAnswer: 48858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 2*u - 23. Let t be g(16). Suppose -2*p + p = -3*i + t, -2*i - 2*p = -134. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110121 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: What is the units digit of 1\/(-3) - (85804\/(-12) - (-11 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 905 = 3*d + 3*g, 3*g = 3*d - 675. Suppose -v + d = v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddi. Give prob of sequence idy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:46 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 286.9034359 to 2 decimal places.\nAnswer: 286.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 divided by 12?\nAnswer: 439\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 43.4\nAnswer: 21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239 - -265. What is the remainder when (-1)\/((-5)\/(-2))*-320 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8629.\nAnswer: 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibibb. What is prob of picking 3 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001407761382 rounded to six decimal places?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -25. Suppose -g*w + o - 29 + 183 = 0, 12 = -3*o. Calculate the highest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 63664*y - 30 - 63665*y - 4. Give f(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 4, u: 16}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-50) + (-9684)\/(-15). Let v = t - 282. Calculate the highest common divisor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4973 - 19891 = -42*t. What is the highest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/12 - 27609871*a\/6 + 762304976636641\/12 = 0.\nAnswer: 27609871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.002, 1, 0.27, -2?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*s - 91, -s = -5*b - 13 - 11. Suppose 5*z - z = 380. Calculate the highest common factor of z and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and 1763.\nAnswer: -5.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.9 + 79.5. Which is the fourth smallest value? (a) 11 (b) -0.3 (c) k (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 21*r**3 - 6*r - 3. Let n(g) = -62*g**3 + 17*g + 8. Let b(p) = -11*h(p) - 4*n(p). What is the units digit of b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r + 20. Suppose -p = 2*l - 50 + 12, 3*p + 84 = r*l. What is the lowest common multiple of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*t + 96, -26*t + 27*t + 2*s - 22 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433302 (base 7) to base 16.\nAnswer: -12759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -18 + 52. Suppose u + 4*u + 20 = 0. What is the remainder when u\/6 - 1168\/(-24) is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 + 38 + 47*g + 54 + 179*g**2 - 4*g**2. List the prime factors of r(-2).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -100, -256, -476?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(17) + (sqrt(17) + sqrt(17)*3 - sqrt(17)))*-6 + sqrt(17)) - (sqrt(153) + 4 + sqrt(17) + sqrt(833) + 3).\nAnswer: -32 + 104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 1:55 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*(1 - 207\/6) and 81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 + 0)*(-5 + 5 + s) + 62 + 67 + 2*s - 169)*(-s + 3*s**4 + s).\nAnswer: 12*s**5 - 120*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/34)\/((-1)\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 7, -93\/1811?\nAnswer: -93\/1811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/((-3)\/27). Does 28 divide (-9 - v)\/((-6)\/118)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1269)\/98982)\/(2\/12)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 - 5.87. Let y = 973.61 + -973.5. Is h greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577.3885 months in decades?\nAnswer: 21.4782375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -87, -65, -7, 81, 193?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:57 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36637, 73276, 109915, 146554?\n\"Answer: 36639*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qkzqzzkqzzzzqqzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 65. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-3)\/(-9)*7. Let u = -9 + 5. Let x = r + u. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28247 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3167193345.\nAnswer: 3, 5, 53, 79, 211, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/(-130))\/((-3)\/4).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 4 + (-4)\/(-4). Suppose -5*b + 160 = -0*s - k*s, -5*b = -4*s - 155. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 2. Let r be c(0). Let k be (r - 3) + 0 - -2. Solve 1 = -u - k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2445 - 2433. What is the highest common divisor of h and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 10) in base 7?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 7*h + 10. Let l be ((-16)\/(-2))\/(-4 - -3). Let b be n(l). Solve -z + b = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193862337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 - 3 - 2 - 3 + 4 + (0 + 4 - 6)*(-7 + 3 + 2) + 14 - 9 + 19)*(-5*p + 3*p**2 - p + 4*p).\nAnswer: 57*p**2 - 38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 769927913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-14)\/5 - (-34)\/70. What is the biggest value in -5, 4, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:22 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3 = -22. Suppose c = -5*x + 55. Calculate the highest common divisor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6605 - -6627. What is the remainder when (-587)\/(-7) - (-4)\/28 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 294043*j. Let y(w) = 9*w**2. Calculate o(y(p)).\nAnswer: -81*p**4 + 2646387*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -31. Solve -4 = -m*s + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, p: 1, z: 1, j: 3, n: 7}. Give prob of picking 2 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.1 - -4. Let a = 555 + -913. Let s = a - -297. Is r bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**28*x*x**(2\/13) assuming x is positive.\nAnswer: x**(379\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*42\/15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3974, 13368, 29014, 50906, 79038, 113404?\nAnswer: 153998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 p when four letters picked without replacement from plpplllppllll.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28429788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590 divided by 370?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/60 - ((-160)\/(-84))\/8?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 4. Suppose 24 = 6*c - 10*c. Give t(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*g**2 + 298*g - 322546 wrt g.\nAnswer: 96*g + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/((-4)\/(-266)))\/(-1). Let u = 22 + -3. What is the greatest common factor of u and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*u - o, o + 0*o = -2. Suppose 13 - u = -4*x. Suppose -2*i - 20 = -x*w, -2*i + i = -3. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + -a7?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-8\/3)*v)\/(v**(-3\/10)\/v))\/(v**(-2\/9)*(v*v\/((v*v**(-2\/11))\/v))\/v))**(-4\/35))**(-45) assuming v is positive.\nAnswer: v**(-2626\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 5) to base 16\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -152125 (base 6) in base 13?\nAnswer: -692c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 445*u + 2752. What is p(-6)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhzh when four letters picked without replacement from zzhzhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92515, -185850, -279185, -372520, -465855, -559190?\nAnswer: -652525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/36 and (5\/(-20))\/((-24)\/(-237))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258553325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -acb + -aa?\nAnswer: -b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 356, 1104, 1864, 2642, 3444?\n\"Answer: w**3 + 741*w - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.025 (b) 2\/5 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + ((6*sqrt(39)*-1)\/sqrt(3) - (sqrt(468) + 1 + -1))).\nAnswer: 3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36617396.\nAnswer: 2, 353, 25933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20122\/(-10) + (16\/(-20) - -1). Let g be 1\/(v\/402 - -5). Let z = -96 - g. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and 0.054?\nAnswer: 0.00864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -122505, 0.25, -0.5?\nAnswer: -122505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-6))\/(-1)*26\/2548*63.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u - 166 = -1414 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oob when three letters picked without replacement from {b: 12, m: 4, o: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2371113314 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11238247944\nAnswer: 11238247944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -195. Let j be (-4)\/(-8) + (-377)\/(-2). Calculate the highest common divisor of t and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 579*a**3 + 14*a**2 + 41*a - 37. Is d(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5489273079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 + 0*l + 3*l + 3113*l**3 - 1 + 0 - 3117*l**3. Determine u(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9075750, -18151504, -27227258, -36303012?\nAnswer: -45378766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -s, -2*a - 20 = -2*s - 5*a. Let t(d) = 8*d**2 - 9*d - 2. Let r be t(-4). Suppose -38 - r = -5*i. What is the greatest common factor of i and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17404373 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 221?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmrszrshsishs. Give prob of sequence zrih.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*l*s**2 - 7*l*s + 12218*l - s - 1 with respect to s.\nAnswer: 276*l*s - 7*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1051981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12\/24)\/((-2)\/(-172))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 10*r - 12. Suppose 2*u - 54 = -4*k, 0 = -0*k + 2*k - 2*u - 18. Let g be 36\/(-20)*(k + 3)\/(-3). What is the greatest common factor of r and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 15, y: 4}. Give prob of sequence ayaa.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37767 at least as big as 33967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0912712 and 3.\nAnswer: -0.2738136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**2 + 6755*w + 14*w**2 + 21*w**2 - 6754*w + 82*w**2.\nAnswer: 144*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 346, 644, 954, 1282, 1634, 2016, 2434?\n\"Answer: h**3 + 291*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -388 - -390. Let x(i) = -i**3 - 3*i**2 + 2*i - 2. Give x(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297438782.\nAnswer: 2, 37, 137, 29339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -173*f**2 + 89*f**2 + 85*f**2. Let q(x) = -66*x**2. Determine q(z(o)).\nAnswer: -66*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 209 + f - 38 - 24 - 41.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5*x**2 + 6. Let w(p) = -p**2. Let h(t) = -t**2. Let i be 2\/10 - (-156)\/(-30). Let y(f) = i*w(f) + 8*h(f). Give y(v(q)).\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w**2 + w**2)*(-w + 2*w**3 + 2*w**2 + 2*w**2 - 6*w**2).\nAnswer: -2*w**5 + 2*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6968, 7108, 7444, 8072, 9088, 10588, 12668?\nAnswer: 15424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.98*1.327.\nAnswer: 27.84046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -4)\/((-78)\/12). What is the nearest to 0 in 1, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 10*i**2 + 8*i - 16. Let d be q(-7). What is the third derivative of -24*j**5 + 22*j**5 + d*j**5 - 87*j**2 wrt j?\nAnswer: 4380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169 less than 335404340.2?\nAnswer: 335404340.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 = -3*z, -5*k = -z + 4*z + 6. Let d(m) = m**2 - z*m**2 - 4*m + 5*m**2 + 3. Let w(i) = -2*i**2 + 4*i - 2. Let c(f) = 4*d(f) + 5*w(f). Factor c(o).\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7587*u + 3. Let x(n) = n. What is f(x(m))?\nAnswer: 7587*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 67 = -3*f - 0*f, -3*l - 2*f = -166. Suppose -l*i = -58*i - 6. Which is the nearest to -1? (a) -5 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/35)*h*h*h*h)**(3\/7) assuming h is positive.\nAnswer: h**(519\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 356 = -3*d, -3*i - 132 = 4*d - 585. Let y(g) = -16*g**3 - g**2 + g - 2. Let h be y(-2). Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106794771 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 26*u - 10*u)*(-3*u**2 + u**2 + u**2) - u + u + u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -234, -472, -710, -948, -1186, -1424?\n\"Answer: -238*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 348. Suppose 2*c - 16*x = -19*x + 15, 2*x - 10 = 0. Suppose -a = -c*k - 2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -61*(0 - (2 + 0)). Let h = 933 + s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*sqrt(76) - sqrt(76))*-1)\/((sqrt(256) - (sqrt(256) + 1*(sqrt(256) - 1*sqrt(256)))) + sqrt(256)).\nAnswer: -9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*l + 16 = 0, 0 = -5*w + 10*w + 3*l + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 48, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.319 + 89.489. Let u = q + -2.17. Let g = -87.1 + u. What is the closest to g in -1, 2\/15, 0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -689, -1550, -2765, -4340?\nAnswer: -6281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233b (base 14) to base 16.\nAnswer: -17f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:30 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*r**4 + r**2 + 9*r**4 - 2*r**3 + r**4 - 2*r - 4*r**4 as n + m*r + s*r**3 + x*r**2 + i*r**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*j - 21, 3*q = -4*j + 6*q + 19. Suppose j*f - f = 18. Suppose -5*m - 10 = -f*m. Solve 6*b = b - m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (3\/(-6))\/(28\/(-1064)) and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)\/(sqrt(30)\/sqrt(6)) + (sqrt(637) - (sqrt(637) - (sqrt(637) + -1 + -4))))**2.\nAnswer: -90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35938749 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1445822*r + 1445816*r + 28 + 75.\nAnswer: -6*r + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -816107 at most -816161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.019 * -13516.\nAnswer: -54320.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 3, u: 1}. What is prob of picking 1 u and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 287 (b) -0.2 (c) 0 (d) 28666.3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4678 is divided by 748?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000369322805 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*b + 162 = 0. What is the greatest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + (18 - -4) + -20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8853*x + 8882*x + 2117 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + (-25 - -47 - 22) + -14.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.84597 and -13.7.\nAnswer: -11.589789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 41. Let q(i) = -96747*i - 6*i**2 + 96747*i - i**2. Calculate j(q(f)).\nAnswer: 14*f**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8997?\nAnswer: 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 598 - 94 = 0 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11307374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v + 1350 = 55*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1638*s**3 + 1321*s**3 - 3562*s - 3567*s + 7129*s.\nAnswer: -317*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 2*f**2 - 3*f + 2. Let q be d(-3). Let w = 4 - q. What is the least common multiple of 3 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4\/7*o + 2\/7*o**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 3*v**2 - 1018*v**3 + 1008*v**3 + 15 - 3*v**2.\nAnswer: -10*v**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxxffffxxfxxxfxfxff. What is prob of picking 2 f and 2 x?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 158*h**2 + 1426*h + 34. Let i be p(-9). Which is the second biggest value? (a) 5 (b) i (c) 2 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 874611 + -200547.\nAnswer: 674064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 86 - 82. What is the lowest common multiple of 8 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29932.5 + 29933. Which is the smallest value? (a) -47\/2 (b) 0.8 (c) j (d) 0.4 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.61 + -0.23. Let b = 970.8239986 + -970.444. Let z = a - b. Round z to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:00 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 33 = -2*c, -2*c + c + 3 = -4*u. Let h = 5 + c. What is the remainder when -2*34\/h + -1 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 129. Let c = -104 + m. What is the third biggest value in c, 1, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**6\/120 + f**5\/10 - f**4\/4 + 2*f**3\/3 - 56*f**2 - 51. Let x(n) be the second derivative of m(n). Calculate x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-320)*1*-1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8912.392l to millilitres.\nAnswer: 8912392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/2 + 442*q**2 - 142477*q\/2 - 12395499 = 0 for q.\nAnswer: -102, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 48*r - 5100. Let w(u) = -17*u + 1701. Determine 6*g(d) + 17*w(d).\nAnswer: -d - 1683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:23 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1*(-3)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-860)\/(-10750) - (-664346)\/50. Which is smaller: 13288 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 12. Let v be q(-6). Suppose v - 30 = -3*g. Differentiate -29*p**3 + 29*p**3 - 7 + 45 + g*p**4 with respect to p.\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -172*j**2 - 86*j + 86. Let d(a) = -a**2 - a + 1. Determine 86*d(s) - f(s).\nAnswer: 86*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4926 divided by 3.\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*n**3 - 121*n**3 + 243*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 6. Let y = 1 + p. Factor -2\/9*m**5 + 0 + 8\/9*m**2 - 4\/3*m**y + 8\/9*m**4 - 2\/9*m.\nAnswer: -2*m*(m - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - 0.12. Let p = 66 - 66.7. Let o = p - -1. Which is the nearest to j? (a) -1\/8 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1540 + 3210. Round g to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2601, 5288, 8019, 10800, 13637, 16536, 19503?\nAnswer: 22544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 + 18*u**2 + 24*u + 119. Suppose -4*g + 117 = -499. What is the remainder when g is divided by p(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 - 180. Suppose 3*j = l + 9, 9*l - r*j = 5*l - 4. Solve l*n = 5*k - 26, n = -3*n - 2*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 127*i - 132*i + 30 = 0, 3*i = -12. Let b(a) = 38*a**2 - 2*a + 2. What is the least common multiple of b(2) and p?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1610*d**2 - 3209*d**2 + 1618*d**2)*(1 - 1 - 2)*(-2 - 2 + 3) to the form w*d**2 + p*d + n and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.44 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2*m**3\/3 + 5*m**2\/2 - 4*m - 1409. Let d(v) = -5*v**2 - 14*v + 13. What is -4*d(n) - 11*p(n)?\nAnswer: -2*n**2 + n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7978 - -6628. List the prime factors of g.\nAnswer: 2, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*r + 17 = 0, l + 4*l - 7 = -4*r. Which is smaller: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*n - 62*n + 85 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(1*(-1)\/(-3)). What is the common denominator of (-4)\/(-10)*580\/48 and 9\/54*(-268)\/b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*p**4 + 2*p**3 + 19848*p**2 - 4880121*p - 1?\nAnswer: -972*p**2 + 12*p + 39696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 7 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*4\/(-12) - 16. Is (-1548)\/i + 1\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - (4 - -2))\/(9\/(-423))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 6*b + 23 = -2*b, 0 = -3*c + 4*b - 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 - (2 + (-13 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10605)\/(-404) - (32 - 5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -2959.\nAnswer: 23\/2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*p + 20. Let d be p\/(-18) + 1209\/27. Let u be ((4 - 24)\/(-2))\/2. What is the greatest common divisor of u and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -12760.5711\nAnswer: -12760.3711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -5\/4, -10854, 0, 2\/3?\nAnswer: -10854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((832\/(-32))\/(-13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 464*u\/3 - 458.\nAnswer: -2*(u - 229)*(u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.5519 decades to months.\nAnswer: 6186.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t**2 - 31 + 31)*(-4*t - 1 + 1) + 18*t**3 - 2*t**3 - 15*t**3 - 16 + t.\nAnswer: -47*t**3 + t - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 1)*(4 - 2 - 3) - 8 + 80 - 23)*(4 - 4 + 10*u) to the form m*u + d and give m.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1114 + 1654. Let x be ((-3)\/6)\/((-6)\/a). Suppose 0 = -0*r + r - 9. What is the highest common factor of r and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 3. Let v = 16 - 12. Let h be b(v). Let m be 14\/h + (-28)\/(-6). Solve l + m + 0 = 2*k, 5*l = -2*k + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31025135 (base 6) in base 11?\nAnswer: -5588a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1131 + -12?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 - 3*l**2 - 15. Find n such that p(n) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7.4\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:51 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -40. Suppose 0 = -d*j + 250 - 10. Calculate the greatest common divisor of 32 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1007576 + -339688. Let o = a + -401288. Round o to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 1, u: 1}. Give prob of picking 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.286755 and -0.2.\nAnswer: -0.257351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*b - 11 = 0, -2*d = -0*b + 4*b - 8. Suppose -3*o = 3*a + 87, 5*a + 15 = d*o + 52. Is o at most as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 320, 1024, 2394, 4652, 8020, 12720?\nAnswer: 18974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/((-16)\/(-40)) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 + 1063*i - 1064. Give f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*h + 2, 44*z = 2*h + 47*z + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 177218*b + 38. Let j be c(9). Round j to the nearest 10000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(55)\/(-1*sqrt(5)) - (sqrt(11) - -2*1*sqrt(11))) + -5)**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.81 + -1.41. What is the closest to d in -1, -16, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4159 - 11979*s - 4159.\nAnswer: -11979*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/64, 0.1, -2827, -5, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 5:09 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*252\/(-98) + -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*c + 0*c - 68 = 0, 0 = -2*k + 5*c + 7. Let z be 24\/k + 2\/4. Factor h**z + h**4 - 4*h**3 + h**2 + h**4.\nAnswer: 2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9905.4725 * -0.5.\nAnswer: -4952.73625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2 (b) 2 (c) -1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723577 equal to 9723578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6) + 3\/(36\/9208) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkggxvat. What is prob of picking 1 v and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -415\/2849 or 1.2?\nAnswer: -415\/2849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + -2232451234?\nAnswer: -2232451325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 18*c**2 - 12*c + 35. Calculate the remainder when w(-18) is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106091 is divided by 651.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14395444?\nAnswer: 2, 7, 514123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/1521*3*-5*10\/275.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 - 29*v + 208. Let i be f(8). Suppose 2*t - i = -460. Solve -9*d = -t*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150 - 57 - 80)*(-2*n + 2*n**5 + 2*n) + ((1 - 2*n**4 - 1)*(n + 2 - 2) - 2*n**5 + 5*n**5 - 2*n**5)*(17 - 16 - 58).\nAnswer: -517*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3506.3 + -3509.3. What is the second smallest value in -0.18, 2\/5, v?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0.5, 3\/7 in increasing order.\nAnswer: -22, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -314*g + 351*g - 189255. List the prime factors of g.\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119586692?\nAnswer: 2, 67, 409, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/2529 and 55\/1686?\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2\/2 - 111*p + 3485\/2 = 0.\nAnswer: 17, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/34605 and 50\/440113311.\nAnswer: 2200566555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 42915*l**2 + 1681490*l - 1724400.\nAnswer: -5*(l - 8622)*(l - 1)*(l + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ref when three letters picked without replacement from fehheeerf?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/180055 and 27\/288088.\nAnswer: 1440440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, -4 in decreasing order.\nAnswer: 26, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 15.2. Let h = 0.8 + r. Let b = 3 + -2. What is the closest to h in -1\/4, -1\/9, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 4:54 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 2*n - n**2 + 0*n. Let v be b(1). Solve v = 3*u + u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 517962394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224544923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 13. Let p be (9 - b)\/(4\/(-6)). Suppose 5*k - 26 = -6. Solve 5 = h + k*h, -l = 3*h - p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0078 and -2111\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -61 + 57 - (-24 + (1 - 0)). Suppose 27*v + 41384000 = h*v. What is v rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16209776 or 2?\nAnswer: 16209776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 4.9. Let x be (-292)\/(-219) + (-346)\/588. Let p = -12\/49 + x. Which is the second smallest value? (a) p (b) m (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.56901382 + 0.569. Round u to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4048663 to the power of 1\/2, to the nearest integer?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppopp. What is prob of picking 2 o and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 683 - -28?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (1*-2*sqrt(448))**2)*-3*-1 + (1*sqrt(77)*1)\/((sqrt(110)\/sqrt(5))\/sqrt(2)).\nAnswer: 25*sqrt(7) + 5376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 + -298.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 88. Let s(t) = -t**2 - 10*t - 11. Let r be s(q). Suppose r = -4*y + 1, 4*b - 177 = y. Calculate the remainder when b is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-6 - (-2 + -10)) + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -1) + (13 - (7 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 10*v**2 + v + 12. Let c be x(-10). Let n = 15 + -6. Factor 7*w**3 + 5*w**4 - w**4 - 2*w**4 + 1 + 5*w + n*w**c.\nAnswer: (w + 1)**3*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7344695 to the power of 1\/2, to the nearest integer?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 696, -2, 0.005, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -d3?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 6. Suppose -5*x + 14 = 29. Put x, z, 3, 6 in increasing order.\nAnswer: x, z, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**6\/5 + g**3\/2 - 8*g - 1. Let r(l) be the first derivative of f(l). What is the second derivative of r(w) wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 254273224?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - u + 55, -4*u + 6*u = 2*f - 94. Let w = 55 - f. Let q(a) = -5 - 3*a + 0*a + a. Determine q(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l + 202 + 211 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221213.\nAnswer: 157, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 692 - 320. Does 31 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7751 divided by 337\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -116635 divided by 116635\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32222098 divided by 2.\nAnswer: 16111049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-28))\/(20\/70). What is the remainder when 39 is divided by 2\/(-2)*k*(-4 - -17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g + 1. What is the remainder when (122\/(-366))\/((((-253)\/726)\/(-23))\/((-6)\/4)) is divided by z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/281 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2552494 millimeters?\nAnswer: 0.0000002552494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -17705 and -0.05288 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, d: 12}. What is prob of picking 1 d and 3 v?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 1580898*w**2 + 1580901*w**2 + 1580905*w**2 - 4742704*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 0.040837.\nAnswer: -6.040837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/11 + 124*h**4\/11 + 1004*h**3\/11 - 29768*h**2\/11 + 56018*h\/11 - 27380\/11 = 0.\nAnswer: -37, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 262.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -165544.01099 and 7046?\nAnswer: 172590.01099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7769, -15534, -23287, -31028, -38757, -46474?\n\"Answer: 6*c**2 - 7783*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 0, -21, -60, -123, -216, -345, -516?\n\"Answer: -m**3 - 2*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of (-87903263)\/(-1407) - (-10)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -9. Let v be 38 - (-2)\/(-4)*2. Suppose 3*u - 6 = -3*i, -5*u + 3*i = -13 - v. What is the least common multiple of u and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5277319 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(0 + 10\/8). Let a = 2.8 + 0. Let p = 1.8 - a. Sort v, -3\/7, p in increasing order.\nAnswer: p, -3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 1 q when three letters picked without replacement from ovoovpovvcqcvc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/390*(-40)\/10)\/((-36)\/14508).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 31 - (1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 19. Suppose 4*m + 6 = -5*f + 74, 4*m = 8. Calculate the remainder when s is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - 2.415.\nAnswer: -66.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 293*n + 90. Determine x(0).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18402634?\nAnswer: 2, 9201317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*l, -55*c + 57*c = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f - 1719198 = -84*f - 42*f. Is 71 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -10 - (-295307)\/68 - 1\/(-4)?\nAnswer: 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1887? (a) -7 (b) -1 (c) 5 (d) -0.01 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060295 less than -4.753369741?\nAnswer: -4.693074741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 289 = 38*u - 289 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**3 + 34*k + 12*k - 7*k wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5535 divided by -45\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95381.\nAnswer: 11, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49779706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 20*l = 77 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281909 greater than or equal to 281907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 97133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341 - -350. Suppose 2*u - 1 = 4*z - 11, -5*u - 7 = -z. Factor 6*w**4 - 4*w**2 - f*w**4 - 4*w**3 + z*w**4.\nAnswer: -w**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/8)\/((-2)\/8). Suppose -2*i + 30 = -3*g, -36*i + 40*i + 3*g - 60 = 0. Let f = i + y. Calculate the lowest common multiple of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) 0.03 (b) -164 (c) 1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 180, 174, 146, 84, -24, -190?\n\"Answer: -2*m**3 + m**2 + 5*m + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9198 - -110287\/12. Calculate the common denominator of b and -107\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - -0.18. Let d = 4.1 - -1.9. Let k = 9 - d. What is the third smallest value in 1\/8, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1870034046415.000002361 + -1870034044552. Let x = t + -1863. What is x rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*t - 17260 = 0, -2*q + t + 4122 = -2794. Calculate the highest common divisor of 54 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1910 is divided by 1714?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzevz. Give prob of picking 1 z and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 22*w**2 + 20*w - 6. Let f be i(-21). Suppose f*y - 1550 = 1150. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1549, -6474, -14675, -26146, -40881?\nAnswer: -58874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(637)*2 + sqrt(637)*-1 + 4)**2 + 3 + sqrt(637) + 4 + 0.\nAnswer: 133*sqrt(13) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 14910\/546 - -2.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/3 - 2*d. Let x(f) = 12*f**2 - 10*f**2 - 2*f + 2*f. What is x(v(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-107 + 8) - (-13 + 5).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, -3, 169165, -0.2.\nAnswer: -3, -2, -1, -0.2, 5, 169165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2 + 1) + -100. Does 9 divide ((-68)\/5)\/(40\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*i + 17 = -0*s, -3*s = 4*i - 26. Let q be ((-6)\/(-2))\/(6\/4). Suppose -q*a - 3*a + 25 = -x, -s*x = 0. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67.3722 + -1.1512. Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 2:28 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 73*y - 8566. Calculate z(-136).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**3 - 61. Let s be 4\/(-16)*-14*2. Let b(k) = 5*k**3 - 20. Let v(i) = s*b(i) - 2*c(i). Differentiate v(m) wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228250592 is divided by 4388.\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(-7) + -2 + 372\/(-84). What is the remainder when (185*6)\/6 - (l + 2) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607282047?\nAnswer: 7, 331, 693691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -18*h - 61. Calculate k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92558909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedegeeeegegdoeo. What is prob of picking 1 g and 1 e?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 116530?\nAnswer: 116533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -20*j. Let f(i) = -3*i**2 + 268*i + 167. What is k(f(q))?\nAnswer: 60*q**2 - 5360*q - 3340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 824027.5 micrograms in milligrams?\nAnswer: 824.0275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 356, 358, 360?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*1674\/(-1116).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 330701607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 150675547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 greater than -2984433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 u when three letters picked without replacement from ubbumbbububbibv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4556 + 5106. What is the highest common divisor of 90 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*f**3*k + 2099*f**3*v - 4*f**2*k*v - f**2 - 2*f*k*v - f*k - 151*f*v + k + 47*v wrt f.\nAnswer: 84*f*k + 12594*f*v - 8*k*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:24 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48168169 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: Simplify ((1*sqrt(4)\/sqrt(2)*-1)**2 - -1*(sqrt(24)\/sqrt(3) - sqrt(2))) + -3.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.2, -13\/2, -816, 0.9?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 534*l**2 - 1072*l**2 - 31*l + 536*l**2 to the form j + y*l**2 + d*l and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1007916 * 2\nAnswer: 2015832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*x**4 + x**2 - 372*x?\nAnswer: 1920*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 2*c + 12*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 13*p**2 - 20*p - 7. Let j be t(11). Suppose 3*q + 1 = 3*m - 8, 5*m = j. Sort -4, -3, -1, q in increasing order.\nAnswer: -4, -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -12, 196, 1.\nAnswer: -24, -12, 1, 2, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1828*j - 161 - 72 = -1856*j + 3*a, 3*a + 33 = 3*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*s + 38 = 26, -s + 8 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/112*((-270)\/(-12))\/15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86802*i*o - 125651*o with respect to i.\nAnswer: 86802*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2. Let m be q(-1). Let o(j) = -j**3 - j**2 + j + 6. Let h be o(m). Suppose 14*g = 13*g. Solve -4*k = t + 18, 2*t + g*t = -2*k - h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-12))\/(-3 + 881967\/293988). Let h be (164\/28 - 6) + i\/(-7). What is h rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184786235.\nAnswer: 5, 1913, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1729*o - 54 = 1736*o + 4*r, 21 = -4*o + r for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 39 + -59 - (-2 - (-2 + 10 + 4))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 45 = -5 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -2.3. Let v = -4619.1 + 4619. Let g = 1 + -2. Which is the nearest to p? (a) v (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 1:15 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 35 = -3*w, 2*k - 3*w = 23. Calculate the least common multiple of k and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -427 + 1217. Let c = z + -494. Calculate the highest common factor of c and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 64?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24957019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142774.6g to micrograms.\nAnswer: 142774600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4361 - 5359 = -12*v, -4*x = 12. Calculate the remainder when v is divided by -9*(-5 + (-1 - 0)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 164\/9*j**2 + 0*j + 0 + 2\/9*j**4 + 86\/9*j**3 = 0.\nAnswer: -41, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 0 - 3 + 4. Let s(m) = -m - 3. Let i be s(-7). Let c be d(i). Solve c = -8*v + 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t)*(-154 - t**2 + 154 - 24*t).\nAnswer: -t**3 - 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5863, -11723, -17583, -23443?\nAnswer: -29303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28729, -60708, -92687, -124666, -156645?\nAnswer: -188624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i + 8*i**2 + 11*i + 3*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14521394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - 2*r + 17. Let d be v(7). Suppose 68 + 7 = 3*t. Let p be 10\/t - 146\/(-10). Solve 2*s + d*s = p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**3 - 4*r**3 + 2*r**2 + 155437*r**4 - 13 - 155439*r**4 + (3*r**4 - 3*r**4 + 2*r**4)*(0 + 3 - 1) + 3*r**4 - 2*r**4 + r**4.\nAnswer: 4*r**4 - 11*r**3 + 2*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/21 and -37\/564.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-3 - 11 - (59 + -44))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*y + 81, -4*y + y + d - 1153 = -1204 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (1 + (-1)\/(3 - 2)). Suppose -g = h - 40, 0*h + 3*h - 84 = -2*g. What is the greatest common factor of g and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:24 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5542.\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n**(2\/7)*n)\/n)\/n)\/(n**(-6)\/n) assuming n is positive.\nAnswer: n**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1184 + -114?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsgmslgsmmhmssmsg. What is prob of picking 2 g and 1 v?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -165*i. Let o(k) = 2*k**2 - 336. Determine b(o(x)).\nAnswer: -330*x**2 + 55440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1901387)\/855 + 4\/10. Let y = 2227 + j. Let n = y + -11\/3. Put n, 5\/4, 0.5 in ascending order.\nAnswer: n, 0.5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*b**3 - 208*b + 4*b**3 + 7*b**3 + 64 + 49*b**2.\nAnswer: -(b - 8)**2*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5291, -9937, -14595, -19271, -23971, -28701?\nAnswer: -33467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/r)\/(r*r*r*r\/(r*r**1*r)*r)*r**5\/((r*r**5\/r)\/r)*((r**(-2)\/r*r)\/((r\/(r**(-1\/7)\/r*r))\/r))**(-1\/11) assuming r is positive.\nAnswer: r**(-128\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21034 or 21033?\nAnswer: 21033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let d(z) = -4*z**2 - 2*z + 4. Let o(p) = -d(p) + 3*w(p). Determine o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + l**2 + l - 1978. Let r be p(0). Let k = 31665\/16 + r. Calculate the common denominator of k and 10\/16*474\/60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4542978283.\nAnswer: 101, 139, 323597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*p + 5 + 7, 3*p = 2*i + 12. Solve 3*r + 5*f = 19, 5 = -r + p*f - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*i + 162 - 137, -4*u + 39 = 5*i. Which is smaller: 1.1888 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530263?\nAnswer: 7, 71, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 37*w**2 - 118*w - 80.\nAnswer: (w - 40)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -3*x**5\/20 - x**4\/2 - x**3\/6 - 27*x**2\/2 - 30*x. Find the second derivative of n(p) wrt p.\nAnswer: -18*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 5, p: 8, e: 1, c: 2}. What is prob of sequence zzez?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -32. Suppose f - k = 4*f - 409, f - 2*k = 134. What is the highest common divisor of h and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1156 - 2311 - 108*j + 1152 - 160*j.\nAnswer: -268*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 5*a**2 + 7*a - 1. Let c be h(6). Let u(j) = 24*j**2 + j + 38. Let n(q) = 65*q**2 + 3*q + 103. Let z(x) = -7*n(x) + 19*u(x). What is z(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/385*(-2)\/(-3)*(-20)\/(-168). Suppose -4*d = -2*d - 2. Is d smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 2. Let l be g(4). Let p(u) = -5*u + u**3 + u**2 - 6 + u**2 + 3*u**2 - 3*u. Let n be p(-6). What is the highest common factor of l and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 18. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8785 and 412620?\nAnswer: 724973340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-34) + 104\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361016502 divided by -109.\nAnswer: 3312078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 789645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8 - 10\/4. Let h be 2 - (0 + (r - -2)). Suppose -i = -3*i + 10. Solve 3*m - l - 8 = i*m, -21 = 5*m + h*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v - 15. Let j = -32 + 34. What is the units digit of v*-44*j\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 431812 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r - 26*r**2 - 6*r - r to the form n*r**2 + v + y*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l - 4 = j, -j = -4. Suppose l*w - 6 = -0. Let p be (-2)\/w - 17\/(-3). Solve 2*k - 3 = -s, 3*k - p*s = -s + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 96 = u, 5*i = u + 2*u - 316. Let c = u + -22. Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.07154 and 0.029.\nAnswer: -0.37907466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 682 + 7\/((-28)\/8). Suppose 4*r + 1552 - 4293 = 5*m, -r + 3*m = -f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 7. What is the remainder when 43 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(3)*-2 - ((sqrt(35) - -2*sqrt(35) - sqrt(35))*6 + sqrt(35)))*2)\/(-1*sqrt(45)\/(-1*sqrt(144))).\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5096839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**8\/672 - q**7\/14 - 3*q**6\/2 - 18*q**5 - 135*q**4 - 648*q**3 - 88*q**2 - q. Solve a(n) = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 23*n - 26. Is -26 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -c + 80 - 86, -2*i + 18 = -3*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 7*s**2 - 26*s + 27. Let n be o(12). Suppose 0 = 3*r - n - 399. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-187132000)\/66)\/((-5)\/15). Round k to the nearest one hundred thousand.\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-144)\/30)\/(-4))\/((-3)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9209, 36802, 82799, 147206, 230029, 331274, 450947, 589054?\nAnswer: 745601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 220*l**3 + 4*l**2 - 23*l + 73. Does 137 divide h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 45 = -t - 51, -68*t + 56*t - r = 5*r - 2*r + 140 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5 - 3 - 2969*y**3 - 2 - 742*y**2 + 2818*y**3 wrt y.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -12 - 6. Suppose -5*y = -0*f - 2*f - 10, -2*f - c = -3*y. Suppose -2*q - 2*m + 484 = -f*q, 6 = 2*m. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-30)\/(-5)))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1.55. Let q = n - 0.783. What is q rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + 1e40?\nAnswer: 1e60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 16.7. Let x = u + 19. What is the second smallest value in -2, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 4, o: 2, c: 2, l: 3, r: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -193714528.64871?\nAnswer: -193714528.44871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 660 + -648. Calculate the remainder when 23 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 27*g**2 + 169*g + 2354. Calculate n(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**2 - 1\/6*r**3 + 0 - 12*r + 11\/4*r**4. Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752491 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - a - 64. Let h = -4876 + 4876. Calculate p(h).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cppc when four letters picked without replacement from pccccccccp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/20 - 5*w**4\/12 + w**3 - 5*w**2\/2 - w. Let x be k(-6). Do x and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**2 - 3*m**2 + 3*m**2)*(2*m**2 - 2*m**2 + 2*m**2)*(1 - 1 - 2*m).\nAnswer: 28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 1 - 2*z**3 - z**2 + 0*z**3 + 4*z**3 - z**3. Find the second derivative of p(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 4*u + 3. Let d = 5 + -3. Let y be f(d). Let p(s) be the second derivative of s**4\/12 - 4*s**3\/3 + s**2 + 9*s. Calculate p(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 613*r**2 + 5*r - 6. What is the units digit of j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 6*a**2 - 4*a + 14. Give p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z**(-1\/7)*z)\/z*z*z**(-6)*z**(-3\/4)*z*z*z*z**(-1\/5)*z*z)**(-1\/79) assuming z is positive.\nAnswer: z**(-127\/11060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 2751500*m - 5502980.\nAnswer: -5*(m + 2)*(m + 550298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*s - 3*d - 4, d + 20 = 4*s. Suppose 2*p = v + 8, 3*p = -8*v + 3*v + 25. Is 402\/v + (8 - s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 8:48 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11873?\nAnswer: 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/476*(-70)\/4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/6 - 3*j. Let k(c) = -21*c + 28. Let v(w) = w - 1. Let z(u) = -k(u) - 28*v(u). Determine p(z(f)).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvpb when four letters picked without replacement from {v: 2, b: 10, p: 1, h: 1}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/(1 - -14). Let a = d - 3\/10. What is the closest to 0 in a, 2, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486836177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12922 divided by 12922.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnnjnnhnjhnjnnhj. Give prob of picking 2 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {r: 1, k: 1, v: 1, j: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -6. Let u = r + -14. Let j = u - 0. What is the third biggest value in -4, 1\/10, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 27\/7 (c) -2915\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 97, 381, 845, 1483, 2289?\n\"Answer: -r**3 + 96*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 8:00 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54794015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (8 + -16) - -15.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 20\/13, -1.29, -3, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 36. Let j = -0.1 + 0.3. Let q = 0.3 + j. What is the nearest to u in q, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 12 - 3*q + 2*q**4 + 5 + 16 as p*q**2 + g*q**3 + u + x*q + v*q**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, p: 2}. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -4. Suppose -9 = -3*h, -o - o + h = -p. What is the remainder when 12 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (5 - 23\/5) + 3498\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -21*h + 2. Let z(b) = -26*b + 3. Let q(o) = -5*i(o) + 4*z(o). Give q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v**5 + 1\/12*v**4 + 0*v**3 - 1\/30*v**6 - 3*v**2 + 0 + 0*v + 1\/168*v**8 + 0*v**7. Solve o(r) = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14941 is divided by 300?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p - 4*q, -4*q = -2*p. Solve -4*z + p*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 208096\/(-70)*2500\/8. Round v to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*h**2 + 9*h**2 - 1 - 106*h + 88*h wrt h.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 6*k. Let g be m(5). Suppose -3*u - 8 + g = 0. Suppose -5*r = -u*d - 33 + 1, -8 = -2*r + 4*d. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 52. Let o be 0\/((g\/(-18))\/((-4)\/(-6))). Suppose -3*y = -2*h - 22, -4*h = -o*h - 16. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7034701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.211, -0.1, -2\/3, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.3185318 - 8.318531. Let l = -0.16 + -5.84. Let v = t + l. What is v rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111 in -0.4, -1\/57, 1\/120, -0.5?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 4. Let o(r) be the second derivative of r**4\/4 - 15*r**2\/2 - r. Suppose -1331 = -23*k + 72. Let n = k - 46. Give n*g(b) - 4*o(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/1)\/((-4)\/10). Let g = 113 + -116. Is 12 a factor of 123\/k - g\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -163, -309, -453, -595, -735?\n\"Answer: i**2 - 149*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 3*d**2 - 3*d + 71. Let v be x(5). Solve -12 = 3*f + 3*j, v*j - j = 5*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivipmiiiirippiivii. What is prob of picking 1 m and 1 v?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 12. Suppose f - 5 = -4*a, 3*a - a - 20 = -4*f. Suppose -4*p = -a*p - 16, -p - v = -5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(34)\/sqrt(2) + 3 + ((sqrt(204) + sqrt(204) + (sqrt(204) + 2*sqrt(204) - sqrt(204)))*5)\/sqrt(12))**2.\nAnswer: 42*sqrt(17) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.266 (b) 3 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a. Suppose -4*c + 23 = 7. Suppose -2*t - 2677 + 2699 = 0. Let u(v) = -t*v + 4*v - v + c*v. Determine u(k(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 2. Let t be a(8). Let z = t - 7. Is z bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36338.977 to the nearest ten.\nAnswer: 36340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -18*j + 7*j + 6*j + 0*j. Let l(o) = -13*o - 9. Let c(t) = 3*t + 2. Let g(p) = -9*c(p) - 2*l(p). Determine g(d(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - -0.1. Let j = 2.04 + x. What is the biggest value in j, -0.2, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n**2 + 9*n - 9. Let i be f(2). What is the third derivative of 2100*b**i + 21*b**3 + 2 - 213*b**2 - 2103*b**5 - 2 wrt b?\nAnswer: -180*b**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -0.02 (c) 4 (d) 0.6 (e) -0.61 (f) -221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-44))\/(6\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.927 rounded to 1 decimal place?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 151*x - 308*x + 164*x.\nAnswer: 7*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2, 0.5, 7, 5 in decreasing order.\nAnswer: 7, 5, 0.5, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 15 = 3*b, 8*j - 3*b = 3*j - 15. Let h(r) = -r**3 + 4*r**2 - r + 5. Let m be h(j). Let i(u) = 3*u - 2. What is i(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 24 + 4 = 0. Which is smaller: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 1, g: 4, w: 1, m: 2, i: 3}. Give prob of picking 1 w and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62972537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -30, -43, -56?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1695 or -4153?\nAnswer: -1695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 6*m + 1. Calculate l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 76 + 44 + 42 - 5*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agigsgssiswgsgssag. Give prob of sequence gis.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.1 + -0.1. Let l be 2\/7 - (-48)\/126. Sort 2\/5, t, l.\nAnswer: 2\/5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107437305 divided by 5.\nAnswer: 21487461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/360 - s**5\/24 + s**4\/12 + s**3\/6 - 2*s**2. Let z(r) be the first derivative of d(r). Let j = -67 + 72. Determine z(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3\/5 + 6464*g**2\/5 + 272876*g\/5 - 1869096\/5 = 0. What is g?\nAnswer: -47, 6, 1657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*s + 3*g, 12 = -5*s + g + 34. Suppose -6 = s*z - 26. Find the second derivative of r + r + 0*r + 2*r**z wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 11*o = 9. Calculate the highest common factor of 453 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*s + 229, -7 = -g - s - 240. Let v = g - -428. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 10.2. Which is the closest to f? (a) 5 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:25 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*s = -126*s + 38. Let r = 9 + -7. Put r, 0.8, s in increasing order.\nAnswer: s, 0.8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5 + 5*u**4 + 15*u**3 - 25*u**2 + 10*u = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b**2 + 3*b**2 + (1 + 5 - 2)*(-3 + 3 + b**2)*(1 - 2 + 15).\nAnswer: 58*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6862 + 56622 = 1726*s - 46980 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - g**2)*(-g - g + 0*g) - g**3 + 0*g**3 + 3*g**3 - g + 4*g**3 + g + (-5*g + 0*g + 4*g)*(0 - 2*g**2 + 0).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*h**2 + 54*h + 31*h**2 - 3 + 6 + 24*h**2 + 84*h as v + n*h**2 + p*h and give p.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {s: 2, g: 2, n: 8}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5310 and 137\/1680.\nAnswer: 297360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 4*a**3\/3 + 9*a**2\/2 + 7*a + 4. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from nwtqqt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 4.86, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -3) + (1 - -1). What is the derivative of -p - 3 + p + 2 + v*p**2 wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9295330.\nAnswer: 2, 5, 11, 84503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 5 (b) -2\/3 (c) 74 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1044, 0.2, 10, 130 in descending order.\nAnswer: 1044, 130, 10, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000349567225 to five decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 117*i = -113*i - 4, 4*b + 16 = i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45661103.\nAnswer: 59, 67, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.4, 5, -2\/13, 0.006, -28.46?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9312)\/(-41904))\/((-52)\/(-90)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1032, -2010, -2988, -3966?\nAnswer: -4944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 3. Let l(m) = -8 - 5 + 0 + 5*m. Let d(h) = -h**3 - 4*h**2 - 7. Let g be d(-5). Let x(v) = g*y(v) - 4*l(v). What is the derivative of x(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -317 - -538. What is the third derivative of o + 7*x**2 + 10*x**4 - 221 wrt x?\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.4 - -4. Let b = v + 2.4. Let g = 57.1 - 57.2. What is the second biggest value in b, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, x: 2}. What is prob of sequence jjjj?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:13 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/3 + 988*m**2\/3 - 2992*m\/3 + 2000\/3.\nAnswer: 4*(m - 2)*(m - 1)*(m + 250)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57927001259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 + -5 + 5 - -18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/42 - 6\/(-14). Let m be 15\/9*(0 + -3) - -8. What is the second biggest value in 10, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -1 + (6 - 4) + 7. Let d(l) = 3*l**2 - 48*l + 20*l + 27*l + q. Let w(v) = 1. Calculate -d(s) + 4*w(s).\nAnswer: -3*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from hvzzzzzzzhhhzzzhhz.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = k - 8, g + 2*g + 12 = 3*k. Let h be (g\/(-1))\/(1\/191*1). Let w(y) = -2*y - 3*y**2 + h + 3*y - 382. What is w(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1053*g**3 - 232725*g**2 - 11606712*g - 132240 = 0. What is g?\nAnswer: -145, -76, -4\/351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(240)\/sqrt(12) + 1)**2.\nAnswer: -21 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -54791*x. Let n(w) = -w**2. Give g(n(a)).\nAnswer: 54791*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose v = n*v + 3. Is 17 a factor of -1*34\/(2 + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 55 (b) 3\/29 (c) 6523 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = 4*a. Let l(h) = 9*h + 12. Let q be l(a). Suppose -3*v - 2*f + 36 = -3*f, -4*v = -5*f - q. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7293 divided by 6\nAnswer: -2431\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**5 - 17773*y**4 + 6*y**3 - 527238660*y**2.\nAnswer: -180*y**2 - 426552*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3715218, 7430433, 11145648, 14860863?\n\"Answer: 3715215*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*(4 + 47). Let v(x) = -32*x + d*x + 5*x**2 + 1 - x**2. Let z(t) = 5*t**2 + 3*t + 2. What is -3*v(u) + 2*z(u)?\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124312 - -406689. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1483994.\nAnswer: -148399.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 343 = -1425. Let i = o - 1288\/3. Calculate the common denominator of 6\/11 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1233 - -1345?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 25 = 0, 2*x = -2*x - a + 105. Suppose q - 2*q = -5*d - x, 5*q - 25 = 5*d. Suppose q = 4*g, -2*w - 3*w = -g - 100. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 221.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -52*w**3 + 13148*w**2 + 138784*w + 21040 = 0.\nAnswer: -10, -2\/13, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-1440)\/(-132) + -11 - 75\/22).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 6162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(95))\/(sqrt(45)*-6).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12721533200 rounded to the nearest one million?\nAnswer: 12722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 215*q - 5352. Determine l(25).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.5, 16, 16\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**2*u**5 + 4*p**2*u**4 - p**2*u**2 - 111*p**2 wrt u?\nAnswer: 60*p**2*u**2 + 96*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31300 + -12?\nAnswer: -31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d - 453 - 241 = -57 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 35, 4, -54 in increasing order.\nAnswer: -54, -3, -1, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -389*y + 58. Let b be c(-8). Suppose i - 5*t - b = -4*i, 5*t = i - 630. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493543737 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 92879*l**2 + 371528*l + 371532.\nAnswer: -(l - 92883)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*w - 36, 0 = 2*u + 2*w + w - 9. Differentiate -3 - 24 + 24*r - r**3 - u*r with respect to r.\nAnswer: -3*r**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/29 (b) -0.1 (c) 3.5 (d) -101 (e) 13 (f) -0.2 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10626 - 10624. Calculate the smallest common multiple of k and 5616.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-4 - 3 - -4) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2 (c) -3\/5 (d) 394\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) -2 (d) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 4*f - 3*f)*(2 + 4 - 4) + f + 0*f + 0*f + 3*f - 4*f + 0*f - 2*f - 4*f + 4*f + 3*f + 3 + 0 - 2.\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2061 and 247111152.\nAnswer: 741333456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbbbmbbmmmbbbbbbbm. Give prob of sequence bbmb.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 8. Let s be g(-6). Is -2 - (0 + s) - -36 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256 divided by 248490.\nAnswer: 128\/124245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 57*l**2 - 2*l - 21*l**2.\nAnswer: -78*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*h - 54*h + 522*h - 20 + 133*h + 20.\nAnswer: 733*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092686359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-24) + -5)*((-1 - 3) + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219069199 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -363, -339, -295, -225?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 145. Let g be d(28). Suppose g*h - 4*w = 33, 0 = -2*h - w + 9 - 1. Let n be (-1)\/3 - (-1)\/3. What is the closest to n in -0.3, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6507011974?\nAnswer: 2, 9661, 336767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v + 397 = x + 94, -1810*x = 3*v - 1813*x - 36 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/((-680)\/(-119))*2 + -1 + 4. Let z(k) = -k**2 - 6*k - 4. Calculate z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/111 and 4\/22*24\/144.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 3528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -22. What is the greatest common divisor of o and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -71. Solve -1 = q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 22 = 3*j, -3*j = 3*a - 4*a - 7. Solve l = j*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40995 + a - 40995.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*f + 7921 = -19538 + 12771 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 1142*i**2 - 4526*i - 5670 = 0?\nAnswer: -1, 5, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946548 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400343 is divided by 28578?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -20*y + 20. Let w(n) = 19*n - 19. Let b(j) = 105*j - 105. Let q(m) = 5*b(m) - 28*w(m). Determine 6*c(v) - 17*q(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z + 3. Let q be g(0). Suppose v = q*v - 100. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h - 656 = 73*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 127?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 * -1076.519\nAnswer: -495.19874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(3 + 0\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27042870 to the nearest 100000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 1, h: 1, n: 1, e: 4}. Give prob of sequence naj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aslasaooao. Give prob of picking 1 a, 1 l, and 2 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51939400 rounded to the nearest 100000?\nAnswer: 51900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 1632*p**3 + 1695*p**3 - 3431*p**3 - 177.\nAnswer: -104*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 600788672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -5 (c) 5 (d) 93511 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(135\/20)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18*i - 231. Calculate w(13).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 16*v + 5. Is 11 a factor of g(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + -2.05. Let m(v) = -v**3 - 19*v**2 - 47*v + 20. Let l be m(-16). Suppose -2*s = -n - 5, l*s + 5*n = 4*n + 7. Sort s, 4\/3, j in ascending order.\nAnswer: j, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -64) + -2 + 1. Suppose -2*u - u + h = 0. Let o = 105 + -102. Calculate the highest common factor of o and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.5 (b) -0.1 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*i - 37766 = -2294*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 627 = 3*d - 4*w, 3*d = -w + 636. Is 66 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351 + k + 351 + k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12122 times 0.5\nAnswer: -6061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -19?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -0.2 (c) 689.6 (d) 4 (e) -4 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 u, and 1 p when four letters picked without replacement from {k: 4, p: 3, u: 3, r: 2, n: 3, c: 1}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i + 19. Let v be l(2). What are the prime factors of v + 51*(2 - (-160)\/15)?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(3 - (-3819)\/(-15)) - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -42. Let v be 1 + s + 1 + (4 - 2). Let k(b) = 14*b - 31. What is the units digit of k(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/80 + s**3\/2 - 63*s**2 - 17*s + 1. Let p(y) be the first derivative of j(y). Let p(k) = 0. What is k?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 363*i = 451*i + 6320 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3 + g - 2 + 0. Let c be p(5). Is 52 + (4 + -3 - c) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20926 + -20926.000047752. Round h to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyqizggh. What is prob of picking 1 z and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1078, 3290, 5506, 7726?\nAnswer: 9950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 826990?\nAnswer: 1\/82699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(1102\/(-275) + 4). Suppose -2*f - 3*f = -n. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 236, 502, 946, 1568?\n\"Answer: 89*h**2 - h + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -233329*q**4 - 25455*q + 1 wrt q?\nAnswer: -2799948*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dd (base 15) in base 6?\nAnswer: -3014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14376116.9 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-87)\/(15660\/40))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72.999997425 - -73. What is r rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 821420.71772 + -0.3\nAnswer: 821420.41772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 30*s**2 - 1 + 42*s**2 + 40*s**2. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*m**3 + 8*m**4 + 91*m**3 - 31*m**3)*(-4 + 6 + 0).\nAnswer: 16*m**4 + 26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004031 (base 5) to base 3.\nAnswer: -211010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 4. Let y be v(-2). Suppose y*z - 3*t = 6, -5*t + 10 = 2*z - 3*t. Let f be z\/(-12)*-4 - -89. Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 75. Let u = 11 - 6. What is the greatest common divisor of u and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1364, 2728, 4092, 5456?\nAnswer: 6820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rilllillrlzi. Give prob of sequence zz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.3 - 52.1. Let t = 0.2 - w. What is t rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9073 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2 + 3*n - 4. List the prime factors of k(3).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3958975 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 0.23, 0.4, -0.2, 1442\/11?\nAnswer: 1442\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10526, 22356, 34186?\n\"Answer: 11830*f - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198923\/7 + 28417. Let o = 2.9 - 2.52. Put o, -2\/5, j in decreasing order.\nAnswer: o, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(17) - (sqrt(17) + 1*sqrt(17))**2) + 2) + sqrt(102)\/(sqrt(72)\/(sqrt(24)\/sqrt(2))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:36 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5795438.4ns to hours.\nAnswer: 0.000001609844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 4*n + 8. Let i be z(6). What is the units digit of (3\/(-6))\/(i\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*b - 88, b - 6 = -b. Let i be 0 - -6 - (17\/(-17) - -4). Calculate the remainder when 104 is divided by s\/i - 5\/15.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 494 + -251448\/509. Let r = u + 517\/2036. Factor r*t**2 - 5\/2*t + 25\/4.\nAnswer: (t - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-12))\/(9\/(-36))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28317, -28316, -28315?\nAnswer: -28314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.64 + -9. What is k rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-1)\/(-6)*15. Let n be (1\/(-3))\/(s\/210). Let h be (-2840)\/(-3)*105\/n. What is h rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k, -4*k - 3 = -j. Suppose 19 = -j*o + 7. Which is greater: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**3\/3 - 17*y**2\/2 - 9*y - 12. Let s(c) = c**2 + 16*c + 8. Let n(q) = 6*s(q) + 5*v(q). List the prime factors of n(-16).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 136036 + -4.\nAnswer: 136032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5829 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 13. Let n(z) = -2*z**2 - 6. Let a(t) = -2*t**2 + t**2 - 3 + t**3 - 4*t**2 + 3*t - 1. Let v be a(3). Calculate v*n(p) - 6*g(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*p - 69*p**3 + 50*p + 57*p + 60*p.\nAnswer: -69*p**3 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 - 4 + 2*w**3 + 4 + 2*w + 2 to the form d*w**3 + g + r*w**2 + b*w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 3*h**3 - 3*h**3 + 4*h**3 - 4*h**3 to the form n*h**2 + t + f*h + o*h**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25092 is divided by 1792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201919 + 107339. What is p rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1755 and -85\/1135953.\nAnswer: 17039295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -5*m, -n + 4*m - 17 = 0. Let r(y) = y**3 + 14*y**2 + 6*y + 1. List the prime factors of r(n).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 + z**2 + 6*z + 2 - 4. Let c be t(-3). Let h = -8 - c. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743694619 to the power of 1\/3, to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + x - 5 - 4 = 0, 2*x + 6 = 0. Suppose 32 = a*f - 120. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 - 2*v. Let y(p) = -25565*p. Give d(y(o)).\nAnswer: 5228553800*o**2 + 51130*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, 4, -2, 0, 3 in increasing order.\nAnswer: -132, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbibbbbbbbb. Give prob of picking 1 b and 1 i.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqe when three letters picked without replacement from vmeqr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 9. Let g be s(3). Suppose -4*d + 16 = 5*y, -2*d + 8 = y + g*y. Let f be 8 + y - (1 - -2). Solve f*u - 5 = 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b - 50?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -1\/120*z**5 - 1\/12*z**4 + 0*z**2 + 0 - 1\/2*z**3 - 4*z. Let q(t) be the second derivative of k(t). Calculate q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10*g = -24. Solve 16*t = 5*a + 15*t + 20, -2*t = -g*a - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**7\/420 + r**5\/120 - r**4\/8 - 2*r**2. Let a(b) be the second derivative of d(b). Differentiate a(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305 a factor of 1808293725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1250, -2665, -4252, -6011?\nAnswer: -7942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by -272?\nAnswer: 133\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -122541 (base 6) to base 8\nAnswer: -25375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 23. Suppose -3*m = -0*m - 4*v - 22, 3*m + 6 = -j*v. What is the second biggest value in 1\/12, m, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146638?\nAnswer: 2, 157, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:28 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:21 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -740232, -740234, -740236?\n\"Answer: -2*w - 740230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 35.4. Which is greater: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 + 9 = 0. Suppose 4 = 4*s + 64. Let g(k) = -k - 11. Let c be g(s). Are q and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58603766*i*w**3 + 18*i*w**2 + 53*i*w - 12*i - 30*w**2 wrt w.\nAnswer: 351622596*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/h)\/(h\/((h**(-7)\/h)\/h*h))*(h\/h**5)\/(h**(-2\/5)*h*h)*(h**2\/(h\/((h**(-5)*h)\/h)))**(-9\/7) assuming h is positive.\nAnswer: h**(-376\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27324 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17995 - -2417?\nAnswer: -1557a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 8*j**2 + 6*j + 2. What is w(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + -65. Let d(u) = -u + 5. Let a be d(4). Is (-5)\/a*g\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 439230 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156237.\nAnswer: 3, 19, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/4)\/(170\/(-24)). Let m = l - -4\/17. Let j = -5 + 5.5. Which is the nearest to m? (a) -4\/3 (b) j (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049*u**3 - 70*u + 70*u.\nAnswer: 1049*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49656 and 57932?\nAnswer: 347592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59218?\nAnswer: 2, 29, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -32.03. Let u be 0 - 58\/(-18) - (-31 - -34). Put 0, u, -0.4, m in descending order.\nAnswer: u, m, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/36 + -1\/9. Which is the nearest to -11? (a) 0.1 (b) s (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.448023374104 and -5.\nAnswer: -5.448023374104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.272 + 0.012. Let f = 0.26 + z. Which is the closest to 0? (a) f (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 - 15?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.1 (b) 1 (c) -4287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j - 4. Let h = -1186 - -1182. Let z(k) = -4*k + 5. Give h*z(d) - 5*o(d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191683 is divided by 93046.\nAnswer: 5591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**3\/6 + 22*z**2\/3 - 37*z\/6 - 7\/3.\nAnswer: (z - 1)*(z + 7)*(7*z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 5*v + 21. Calculate h(-10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48823, -48564, -48133, -47530, -46755?\n\"Answer: 86*x**2 + x - 48910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**6\/30 - 2*r**5\/25 - r**4\/20 + 128. Suppose z(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*n**2 - 128*n**2 - 8*n**4 - 31*n + 6748 - 11*n with respect to n.\nAnswer: -32*n**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = -293*f + 815 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 25, 27, 29, 31, 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/13 in -0.051, 0.3, -4\/7, 8\/7, -0.2?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.361609 to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/((s*s**(-5))\/s)*s*s\/(s**(-1\/6)\/s)*s**5*s*s**(-3))\/(((s**(4\/3)\/s*s*s*s*s)\/s**(-1\/7))\/(s*s\/s**6*s**(-2\/11)\/s)) assuming s is positive.\nAnswer: s**(2083\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000988 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7457.\nAnswer: 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 take away 3034147074.246?\nAnswer: -3034147073.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 518130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 7:31 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17*j + 264 = 0. Let i = 512 + -314. Calculate the highest common factor of j and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000001011 + 111?\nAnswer: -1001000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198\/(-4)*(-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*t**2*z**5 - 7380*t**2*z**2 + 9*t**2*z - 2*t**2 + 2*t*z - 149*t wrt z.\nAnswer: -220*t**2*z**3 - 14760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(336)\/((sqrt(6) + sqrt(30)\/sqrt(5))*-3))\/((sqrt(7) - 3*sqrt(28)\/sqrt(4)) + (sqrt(343)*1 - sqrt(343))))**2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, w: 1, b: 3, v: 1}. What is prob of sequence bwvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2. Let n(w) = -w**2 + 2*w**2 + 5*w**2 + w**2. Determine p(n(b)).\nAnswer: 147*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1859156*v**3 - 20399*v**2 - 31*v - 1.\nAnswer: 11154936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 1084 = 198*p - 540 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -53*r**2 - 2*r - 1. Let v(s) = -158*s**2 - 7*s - 5. Determine -2*v(z) + 7*w(z).\nAnswer: -55*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h + m - 30 = 0, -2*m + 32 = h. Let i = -56 + h. Let c = 48 + i. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-54)*16380\/(-273).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -59. Let s = t + 35.999954. Round s to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 28 - 8. Suppose -3*o - 13 = h*f, -3*f - 20 = 4*o + o. Let j(v) = -v**2 + v + 1. Let g(a) = -10*a**2 + 6*a + 5. What is f*j(z) + g(z)?\nAnswer: -5*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000050988 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b - 636a?\nAnswer: -629b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -5616141.\nAnswer: 2\/5616141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r + 10*r - 4*r as f*r + z and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592 and 8648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9. Suppose -5*o - 5*f + 24 = -2*o, 3*f = s. Let p be (-72)\/126 + (-2 - (-102)\/7). Calculate the highest common divisor of o and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.04 + -1.\nAnswer: 54.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -146, 1381, 4294, 9043?\nAnswer: 16078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - -56?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 735460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 + g. Let s be f(1). Let q(t) = t**2 - 6*t. Let o(v) = -3*v**2 + 17*v. What is s*o(r) + 17*q(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 25. Let j = b - 13. What is the nearest to j in -1\/4, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15985388509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -2\/17 (b) 8 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14505325189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, b: 1, f: 2, e: 1}. What is prob of picking 1 f and 2 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-63233.\nAnswer: -8220.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12789706079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2446962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 81?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253527 is divided by 162?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 497 - 2*v**2 - 3*v**2 - 501 to the form g*v**2 + p*v + q and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 + 196274*s - 196274*s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6240.\nAnswer: -1\/6240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17578 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 2 - (-8)\/(-2). Let m be 3\/f*8\/3. Solve -m*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 1. Let j be r(-4). Let s be (1\/j)\/(3\/63). Suppose -s*d = -3*d - 40. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/37 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:38 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*a - 99*a - 3*w - 199502, a = -5*w + 39878. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 10048022*q + 100480020.\nAnswer: 2*(q - 5024001)*(q - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10909770*p*u**2 + 2*p*u + p - 146935*u**2 - 5*u + 3 wrt p.\nAnswer: 10909770*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.08 + -0.08. Let l = -171296 - -171296.5. Sort l, -3, 2\/9, s in decreasing order.\nAnswer: s, l, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*k - 5682 = 2226, 2*b + 3*k - 3958 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyuu when four letters picked without replacement from ydyuducduccuudd.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -765 divided by -45?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 98 = z + 142, -5*k - 398 = z. Let d = -41 - k. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -790935.69941 + 790949. Let v = 13.3 - s. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, 3, 49, 113, 195, 295?\n\"Answer: 9*o**2 + o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14768772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 58 = 5*u, -788*u + 791*u = -3*k - 36 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002368 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 10. Let c = -4.4 - m. Let z = c + 0.5. Are -3 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -19. Suppose -s*q + 84 = -3*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7 + 10 = 0. Suppose -9 - b = -3*z. What is the second derivative of -2*f - 11*f**4 + 4*f + 7*f + 21*f**z wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -21*k. Let v(y) = -32717*y**2. What is i(v(o))?\nAnswer: 687057*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7554 by 6.\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/1451 and 59\/136394.\nAnswer: 136394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 17*l**2 + 12*l - 8. Give a(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.021, 6 in decreasing order.\nAnswer: 6, 0.021, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + a)*(3*a - 3*a**4 - 3*a).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 + -128. Let x(h) = h - 1 - 3 - 3. Let d be x(5). What is the second smallest value in r, 2, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141300 and 26380.\nAnswer: 186374700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times 1880309?\nAnswer: -3008494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4589 at least as big as -2857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 24*a**2 - 641*a - 14219. Calculate j(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 + 5 + (6 - 3) - 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxwxxxwxxxwxwxx. Give prob of picking 2 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-85)\/3*(-8)\/((-32)\/(-12)). Let r = -48 + a. Differentiate 5*g - 4*g + g + r + 8*g with respect to g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6411, -6709, -7005, -7299, -7591, -7881, -8169?\nAnswer: -8455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 12.3. Let c = 10.11 + h. Let j = 0.21 - c. Round j to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6614232 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 13 = -9*q. Suppose q*s + 24*s**4 - 22*s + 32*s**3 + 4*s**5 - 27*s - 24*s**2 = 0. Calculate s.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (81\/(-15) - -5)*-10. Suppose -y*i - 5*a - 29 + 552 = 0, -3*a = 4*i - 525. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 - (-92)\/414. Sort 3, g, 2\/3, -1 in decreasing order.\nAnswer: 3, 2\/3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czz when three letters picked without replacement from zzczczzczczczzzz?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1951, 1948, 1945, 1942?\nAnswer: 1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483\/2*m + 1144*m**3 + 1014*m**4 + 49 - 321\/2*m**2 = 0. Calculate m.\nAnswer: -1, -2\/3, 7\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.73 + -1.93. Let y = w - -5.2. Let p = 24.9 - y. Which is the biggest value? (a) p (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49221*v**2 - 13760*v**2 + 6491*v**2 - 1212*v**2.\nAnswer: -57702*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*a - 72, -4*a - 7 - 5 = 0. Let p be 5\/5*(-16 + -1). Let w = p - v. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**2\/13 - 6410*u\/13 - 2406\/13.\nAnswer: 2*(u - 401)*(8*u + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/9)*(c\/(c\/(c**28*c*c)))\/c*(c*c**(-33))\/c**(2\/5) assuming c is positive.\nAnswer: c**(-158\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*r = -58, y + 31*r = 29*r + 27. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1423 + 1469. Calculate the greatest common factor of 920 and t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6bb3c - -1?\nAnswer: 6bb40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -12, 2 in descending order.\nAnswer: 7, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -50*g**2 + 376*g**3 + 48*g**2 + 4*g + 14 - 377*g**3. Suppose -l - 3*l = 0. Let a be y(l). Solve 0 = 4*d - a + 34 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2920 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4457 + -4536.31. Let n = r + 0.71. Let m = n - -70. What is m rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/60 - 11*s**5\/60 - 17*s**4\/24 + 5*s**3\/6 + 47*s**2. What is the tens digit of u(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -425, 38, -4, -5, 113.\nAnswer: -425, -5, -4, 4, 38, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/8 - 19*n**3\/8 - 201*n**2\/8 - 405*n\/8 = 0.\nAnswer: -5, -3, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/42570 and 81\/220?\nAnswer: 85140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 18. Let h(r) be the second derivative of 0 + x*r**2 - 1\/48*r**4 - r + 1\/24*r**3. Find j such that h(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**4 - t**3 - t**2. Let j(c) = -7*c**4 + 4*c**3 + 4*c**2 + 22*c. Let d(f) = -j(f) - 4*m(f). Find the second derivative of d(z) wrt z.\nAnswer: 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1. Let h be j(-3). Let m(z) = -2*z - 1. Let d be m(h). What is the units digit of 1\/(-1) - (-6)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 1\/3*s**3 + 0*s + 0*s**2 + 26. Let h(p) = -6*p**2 + 6. Let c(w) = -2*a(w) - h(w). What is the first derivative of c(j) wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**5 - 12529*i**2 - 1469*i + 5762.\nAnswer: -80*i**3 - 25058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838868 to the power of 1\/2, to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 2*z**2 + 5*z + 12. Calculate s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.1 - -56.6. Let z = 79 - h. Let w = 0.1 - z. What is w rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/116)\/(20\/2976)*(-4)\/8?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -41*y + 13. Let l be 2 - 2 - 1 - 11. Is d(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 1. Suppose 6*o - o - 2*d = 1, 14 = -2*o - 4*d. What is r(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842*u = 847*u - 540. What is the remainder when 129 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2 + 316*d + 24964 = 0.\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 5*r + 5. Calculate i(9).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 3. Let k(q) = 13*q**2. Give k(z(j)).\nAnswer: 117*j**4 - 234*j**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 22\/28 + (-18 - (-2438)\/140).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*s, 3*n - 1060 = -2*s + 3*s. Suppose 5*w - 438 = -3*c, -8*c + n = 4*w - 4*c. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11410023 (base 5) in base 13?\nAnswer: -39862","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -23*d + 18. Determine w(7).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -10. Let f be y - 1 - 27\/(-9). Let t be f\/(-4)*(-16)\/20. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 + 19000*i - 208395 = 0.\nAnswer: 11, 3789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4922 + 6\nAnswer: 4928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/4640 and 11\/665?\nAnswer: 617120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(4\/19)\/m)\/m*m)\/m**(-12\/7))\/(m*m**(-16))**27 assuming m is positive.\nAnswer: m**(53988\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, t: 3}. Give prob of sequence mmtt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let d(b) = 8 - 2*b + 0 - 8. Calculate r(d(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -780, -790, -798, -804, -808, -810, -810?\n\"Answer: u**2 - 13*u - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 3 - 3)*(64 - 116 + 110) as y*r + x and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8745.59 + -8682. Let z = -152.54 - i. Let d = 215 + z. What is d rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 - q**3 + 2*q**3 + (2*q + 0 + 0)*(-2 + 2 - 2*q**2) + 49*q**3 + 0*q**3 - 5*q**3 + q**3 - q + q + (-3*q**3 - 3*q**3 + 4*q**3)*(-2 + 4 - 1).\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1117360172 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(6300) + 3*sqrt(6300)*-3 + sqrt(6300))**2*-2*-1.\nAnswer: -617405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c = -6*y + 20*c + 98, 0 = -4*y - 3*c + 72 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 253681 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.1556 - 60.2. What is b rounded to 3 decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(90)\/sqrt(6) + sqrt(15)))*3)\/(sqrt(432) + (sqrt(432) - (sqrt(432) - (sqrt(432)*-2 - sqrt(432) - sqrt(432))))).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 0.2, -0.48 in increasing order.\nAnswer: -0.48, 0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/(u**(2\/3)\/u))\/u*u)*u)\/u)**(2\/49)*u**(-2\/17)\/u*(((u\/u**(-5\/4)*u)\/u)\/u)\/u)\/((u**(-1\/3)\/u)**(-8\/17))**(-1\/23) assuming u is positive.\nAnswer: u**(-65445\/76636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 bigger than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140110.\nAnswer: 2, 5, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.7 and -0.0421?\nAnswer: 8.7421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -982120, -2.\nAnswer: -982120, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166998437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2\/2 + 24*x - 20. Let i be l(-9). Suppose -2*d - 9 + i = 0. Solve d*f - 16 = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 32 = -7*b, 10*b - 12 + 182 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -16 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t**3 - 14*t**2 - 22*t - 6. Let n(x) = -x**3 - x**2 - 3*x - 1. Give -6*n(f) + w(f).\nAnswer: -2*f**3 - 8*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 896302 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -33. Let z be (-35)\/6 + 3\/q. What is the common denominator of -37\/18 and ((-14)\/12)\/(z\/(-26))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(2 + (sqrt(1300) - ((sqrt(1300) + -1)**2 - sqrt(1300))) + 2).\nAnswer: -120*sqrt(13) + 3891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 4*l + 4*l)*(3 - 3 + l) + (-17*l + 9*l - 19*l)*(4*l + 19*l - 5*l) in the form a + h*l + y*l**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*a + 408, -4*i + 260 = 4*a - 148. Suppose 2*g - a = -15*g. Solve 0 = 5*w - g - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2785*u**2 - 2984*u**2 + 1 + 31*u**3 - 1 + 199*u**2.\nAnswer: 31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -24. Let y = w + 93. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3.1. Let u = 4 - 6. Let f = h + u. Do f and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 3 - (-16 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 - 54\/(-3). Let b = d - 12. Suppose 0 = -b*x + 17 + 18. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1125*r - 1771. Let t be u(3). Solve -t*m + 12 = -1606*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.78 - 0.22. Let v = 164 + -161.08. Let z = v - -0.08. What is the closest to 2\/3 in i, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + 6\/15. Solve n + 2 = -v*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -25\/6, -0.4305, 3, 0.4, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -141324 (base 5) in base 4?\nAnswer: -1123033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:30 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 + 116 = 48*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 17*m**2 + 5*m + 73. What is t(-17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-99)\/108 - (-2)\/(-6). Which is the nearest to -0.2? (a) s (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2024 + -1112?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 137*-12.47\nAnswer: -1708.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9276562 micrograms to grams.\nAnswer: 0.0000009276562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from oskkvvdg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (5 + 33 - 12) + -23 - (10 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21\/2, -3, -2.3, -856, 2 in descending order.\nAnswer: 21\/2, 2, 0, -2.3, -3, -856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from uuuiiuuuiuuuuuiuiuu?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**4 + k**3 - 3*k**2 - k + 2. Let l(h) = 4*h**4 + 2*h**3 - 10*h**2 - 2*h + 6. Let i(s) = -6*l(s) + 17*y(s). Let i(f) = 0. What is f?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 - 4*i**2 - i + 5. Let g(n) = -7*n**3 + 10*n**2 + 3*n - 9. Let h(k) = 4*g(k) + 9*p(k). Calculate h(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135441561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128664 = 3*g - 2*m, 2*g - 42177 = 2*m + 43593. What are the prime factors of g?\nAnswer: 2, 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + 1*sqrt(2736))**2.\nAnswer: -10960 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -o - 4. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903488075 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -9762167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 52?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14047025 divided by -192425.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108139 is divided by 368231?\nAnswer: 3446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72.06 + -71.5967. Round t to two decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 23321*l + 719. List the prime factors of h(1).\nAnswer: 2, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3810\/135 + 336\/156*-13.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(475) - sqrt(475)*-1) + -2 + sqrt(475) + 2 + sqrt(475) + -1 + sqrt(475))*-4)**2 + 2)*2.\nAnswer: -1600*sqrt(19) + 380036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1462*n + 12036 = -1441*n - 622*n - 2064 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 295\/(((-99)\/209)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(19)*-2)**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g + 4. Let d be ((-6)\/10)\/(g\/5). Let u be (-1)\/7 - 638\/(-154). Solve d = u*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l**3 + l**2 - 224*l - 448. Calculate h(-2).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/292600 and -1\/25564?\nAnswer: 24285800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m + 5*l - 9, 2*l = 5*m + 24. Suppose 8 = -q - 3*v + 21, -2*v = -q - 7. Put -3, 4, q, m in descending order.\nAnswer: 4, q, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*z + 11 + 2*z**2 + 285*z - 29 - z**3 in the form v + k*z + x*z**2 + q*z**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441 + 1214?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - -240. Suppose -13*h + 954 = -y. Calculate the remainder when h is divided by (-4)\/36*-6*42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 0*w = -77. Solve 0 = -3*p + w*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8323541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11797, 23521, 35175, 46759?\nAnswer: 58273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 58, 259, 654, 1309, 2290, 3663, 5494?\nAnswer: 7849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 3. Let i be ((-4)\/(-9))\/((-14)\/(-126)). Let u(y) = i*y + 3*y**2 + 13*y + 9 - 20*y. Let x(c) = c**2 - c + 3. Determine o*x(n) - 6*u(n).\nAnswer: -n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20311121 (base 4) to base 6.\nAnswer: 435305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 3*b**2 - 6*b + 15644*b**3 - 2 + 16993*b**3.\nAnswer: 32637*b**3 - 3*b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -370*n**3 + 9*n**2 + 69*n + 50. Let q(k) = -92*k**3 + 2*k**2 + 17*k + 12. Let y(p) = 9*q(p) - 2*r(p). What is the second derivative of y(l) wrt l?\nAnswer: -528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153762 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8506, 17274, 26042?\n\"Answer: 8768*n - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 44 + -7 + (-1)\/((-1)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*y = -548 - 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058226320?\nAnswer: 2, 3, 5, 107, 80149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*k - 0*k - 36, 10 = -5*t. Suppose -443 = 30*v - 1493. Calculate the highest common divisor of v and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p**2 + 282*p - 282. What is d(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1128 divide 120338424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1586 and 669902?\nAnswer: 8708726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35832811?\nAnswer: 7, 41, 124853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 37033?\nAnswer: 111099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l**2 - 2*l - 1. Let i be f(-1). Let h be (i - -9)*(-2)\/4. Solve -3*t - 7 = 2*p, h*t - t = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7166*s**2 + 96315.\nAnswer: 14332*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 3 = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.19 - 1.41. Let a = g + 29. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173514157 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/4 - 1)*-1. Suppose j = -2*u + 4*f - 22, f - 27 = 5*u - 2*f. Put 1, u, -4 in decreasing order.\nAnswer: 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2 - 5*p - 1. Let a(o) = -7*o**2 + 6*o + 2. Let s(v) = 5*a(v) + 6*z(v). Does 13 divide s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3088 by -155.\nAnswer: -3088\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1063\/2 - -512. What is the common denominator of -127\/140 and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + p. Suppose 0 = -r - 0*r + p. Does 3 divide (3\/r - 1) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -1\/3*n**2 + 0 - 184*n - 1\/18*n**4 + 2\/9*n**3. Factor y(v).\nAnswer: -2*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3648 - -3675. Solve 0 = 6*z - 3 + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4580300.\nAnswer: 2, 5, 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5*(-11)\/(-22)*-25. Sort 56, 0, 2, w in descending order.\nAnswer: 56, w, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-114)\/(-22) - (-4)\/(-22). Suppose -3*u = -s + 50, -s = -f*u - 0*s - 86. Let y = 28 + u. What is the greatest common divisor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*q + 31522 = 40102 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:17 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1477 - -40163730325.\nAnswer: 40163730326.1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2376.01645 + 2376. Round s to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 2, o: 8}. Give prob of picking 1 o and 2 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 63.552. Let h = y - -0.048. Sort 1\/3, -4, h, -1\/4 in decreasing order.\nAnswer: 1\/3, -1\/4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 8017 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 9:47 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 1. Suppose 2*s + 0*s = -5*m + 3, 0 = 5*m + s - 4. Let r be t(m). Suppose r*k - k = 0. Solve -y = -k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160731 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1277699\/126 or -10140?\nAnswer: -1277699\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80980884 and 5998584.\nAnswer: 161961768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696618491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*k - 9 = 0, 4*r - 14 - 24 = -3*k. Solve -3*d - 5 = -r*b, 5 = 2*b + 3*b + 5*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q - 19*q - 28. Suppose -q*j + 0 = -14. What is the derivative of 23 - 2*w - j*w - 18 wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (13 - (12 + -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -9)\/16 + 7 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -369*d**2*m**3 - 5200*d**2*m**2 - d**2 + 2138*d*m**2 - 117*d + 3*m**3 wrt d.\nAnswer: -738*m**3 - 10400*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3365003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/325 and 54\/85475?\nAnswer: 85475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 42934*h - 1932035. Determine i(45).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = 6*q. Let u(w) = -18 + 0 + 1 + 4*w**2 - q*w**2. What is u(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4471, -4470, -4469, -4468?\nAnswer: -4467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -779*j - 2560. Is 61 a factor of l(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1688*0.1.\nAnswer: 168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102122 (base 3) in base 4?\nAnswer: 10322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 3*s + 5*s. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = -11. Let x(u) = u**3 + 9*u**2 + 9*u + 5. Let n be x(-8). Let t be (-3)\/(-9) - 86\/n. Solve 0*w + w = 5*a + t, -q*w = -5*a - 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:19 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -6. Let i be (2\/(-4))\/(v\/48). Suppose -4*q + 111 = -p, -q = p - i - 21. Calculate the highest common factor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -18. Let i = 189 - 105. Calculate the highest common factor of y and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3152575 tonnes?\nAnswer: 315257500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 6. Let u be x(3). Suppose 3*h - 131 = -4*s, 5*s - u*h - 135 = -h. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let t be y(-1). Let d be (2\/(-49) - 5742\/(-1421))*1\/7. Factor 0 + 2\/7*m + 0*m**2 - d*m**3 + t*m**4 + 2\/7*m**5.\nAnswer: 2*m*(m - 1)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824 = -2*r + f, 5*r + 10*f = 12*f + 2061. Let k = r + -279. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 0. Suppose -3*d - b = -5*d. Suppose -5*k - 2*n - 12 = -d*n, 0 = 3*k - 4*n + 5. Put 5, 1, k in decreasing order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 6*f**4 - f**2 + 6 + 198*f + 193*f - 389*f + 2*f**4 to the form y + x*f**3 + a*f**4 + d*f + u*f**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.24 (b) 4\/5 (c) 1\/6 (d) 4120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31110 + 213110201?\nAnswer: 213201311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52695 divided by 10539.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 294, 646, 1098, 1698, 2494, 3534?\n\"Answer: 8*l**3 + 2*l**2 + 290*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 15 = 0, 2*p = -z - 3*z + 22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 72\/7 (c) -2 (d) 7 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-8))\/(33\/(-396)*28\/(-105)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + 0.25. Put 4, m, 2\/13, 5 in decreasing order.\nAnswer: 5, 4, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6633.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16937, -43395, -69853, -96311, -122769, -149227?\n\"Answer: -26458*v + 9521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3 = 13. Suppose -2*x + x + 194 = 0. Suppose 4*v - x = l, -2 = -c*l + 2. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 47?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2393052714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -82.000302. Round r to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 j, and 1 i when four letters picked without replacement from pppppjppppippppppp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 11:59 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/9*(75\/6)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6)*(-6 + 2 - -1). Let l be (-2)\/((2\/(-3))\/(-1)) + y. Sort l, -1, 0 in descending order.\nAnswer: 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from dwwswvxwxxwddwv?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(684))**2*-6 + -5.\nAnswer: -4163 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t - t**2 + (-4*t - 3 + 3)*(2 - 2*t - 2) + (-2*t + t - t)*(t + 0*t + t) - 4*t**2 + t**2 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 9*l = -5*g + 30411, -5*l + 38021 = -g. What are the prime factors of l?\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1183039672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -22) + 0 - 4. Let b = -16 + u. Suppose 4*v - 412 = 2*g - 6*g, b*g = -4*v + 311. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 2*a + 2*y, 0*a + a + 5*y = 81. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/60 - 83*a**3\/30 - 266*a**2\/5 + 7*a - 8. Factor b(x).\nAnswer: -(x + 7)*(x + 76)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w - 0. Suppose 3*n - 64 = w*o - 8*o, -12 = -4*n. What is the smallest common multiple of o and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f. Let c(r) = r - 1. Let b(a) = -4*c(a) + d(a). Let g be b(2). Is 2403\/g*(-4)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 214*v**2 + v**3 - 215*v**2 - 1 + (-v + 3*v + 0*v)*(0*v**2 + 4*v**2 + 0*v**2) as u*v**3 + r*v**2 + p*v + y and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((((-99)\/(-11))\/(-54))\/5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-536)\/(-6) + 6\/9. Let f(r) = -2*r**2 - 37*r. Let z(i) = -4*i + 42. Let o be z(15). Let g be f(o). Calculate the greatest common factor of b and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*h + 5 = 0, -11*h - 8 = -m - 13*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = d, 5*j - 12 = 4*d + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 14, -0.1, 21, 3 in decreasing order.\nAnswer: 21, 14, 3, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3893*i - 5 - 3286*i**2 - 3891*i - 13*i**3 + 3285*i**2 to the form p*i**3 + y*i**2 + o + u*i and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let x(j) = 3*j. Let c(i) = 5*k(i) + 2*x(i). Let p(b) = 2*b. Let y(o) = 4*c(o) - 3*p(o). Let r(w) = 2*w**2. Give y(r(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -251. Calculate the greatest common factor of r and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8 + 0)\/((-178)\/((-193664)\/340)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 136462?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/60 - o**2\/2 + 4*o. Let y(m) be the first derivative of s(m). Let a(i) = 4 + 2*i**2 - 4 - 11*i**2. Determine y(a(f)).\nAnswer: 81*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 591930637640.\nAnswer: 591930637637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*z - 43 - 5, -3*z = -2*k - 48. Suppose -2*c + 2*m = z, 3*m - 4*m = 4*c + 37. Let x = 15 + c. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1100) + sqrt(1100)*-2 + sqrt(1100)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 80. Is 5 a factor of 123\/r*3\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.35 + -2. Let q = d + -0.05. What is the second smallest value in 4, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5356688 - 5356686.9999942. Let r = 1 - s. Round r to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - g**2 - g + 1. What is k(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 27*x + 2349. Let w be g(28). Solve 26*o - 5 = w*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -67510516?\nAnswer: -67510520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 12*w - 7 + (1 + 3 - 3)*(w - 4 + 4))*(-2*w + 4*w - w) in the form l + c*w**2 + i*w and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n = 480. Let t be 69 - (-1 + 4 - (17 - 16)). Let f = n - t. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -28503?\nAnswer: -28503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2)*(-8)\/(-6))\/2. Let j(g) = -g**3 + 2*g - 1. Let l be j(1). Does l = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*h - 9*h + 13*h - 136 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 2. Let a(v) = -v + 1. Let y(s) = -5*a(s) - 3*u(s). Let g be y(-1). Find r, given that -g*r**3 + 0*r**2 - 2*r**2 + 5*r - 5*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z + z - r, -z = 4*r - 23. Suppose 5*i - 2*i = 12. Let w(s) = -5*s**3 - 4*s + 0*s + 4*s**3 + 0*s**3 + i*s**2 + 3. Determine w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*c - 15, 0*c = 2*t + 3*c + 3. Suppose 4*w = 5*i - 891, 2*i = t*i + 5*w - 184. List the prime factors of i.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 869 and 56708333.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 435 (b) 0.6 (c) -766 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 793 - 788. Let t = 12 - 9. Solve t*c = x*l + 27 + 4, -4*c = -l - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:30 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/3, 3, -0.2 in decreasing order.\nAnswer: 3, -0.2, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 99 + 17*j - 34 + 17*j. Let t be q(-15). Let d = 6\/5 + -19\/20. What is the nearest to d in -1\/3, t, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a century in months?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3083*a - 50. What is the lowest common multiple of 30 and x(-1)?\nAnswer: 30330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.60486 * 0.08969.\nAnswer: -0.0542498934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1272 - 46227*j**4 + 9*j**5 + 3*j**2 + 46365*j**4 - 14*j**5 - 2*j**6 wrt j?\nAnswer: -240*j**3 - 300*j**2 + 3312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 18*w - 31 = -4*r - 5*w, -12 = -5*w + w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374778 is divided by 10281?\nAnswer: 10148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/15*(-3)\/6. Let o = -17.15 + 16.95. Which is the nearest to 0? (a) o (b) 2\/15 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 3*c - 2*i, 2*i + i + 15 = 0. Suppose 25 = -52*b + c*b. Solve 0 = -b*f + 4*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 2*t - 1 - 6 - 3*t**2 + 1 + 3. Let c be f(3). Suppose 4*w - c*b + 27 = 163, 2*w + 5*b = 94. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7181130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3517, -0.11, 0.03, 0.1?\nAnswer: -2\/3517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/67656 and -37\/8457?\nAnswer: 67656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 + 27*c - 14. Let o be x(6). Solve -o*m = -1 - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*l**3 - 6*a**2*l - 3*a**2 - 24913228*a*l**4 + 2*a*l + 6741*a + 3*l wrt l.\nAnswer: 12*a**2*l - 298958736*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23491279870 + -4780\nAnswer: -23491284650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 17350.\nAnswer: 2\/8675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a700 (base 13) in base 14?\nAnswer: -2137d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25279 + 3*s + 12643 + 12636.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + 49 - 2*y**3 - 28 - 24 + 3*y**3. Let o(a) = -2*a**2 - a + 2. Give -2*f(k) - 3*o(k).\nAnswer: -2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 4}. Give prob of picking 2 q and 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 453.51792 and -0.1285?\nAnswer: 453.64642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 59. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*u + 5*y, u = 5*y - 1 - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 26 = -36460834*d + 36460839*d + 84, 7*a - 112 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 437 + 398. Sort 0.4, q, 0.1 in increasing order.\nAnswer: 0.1, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**5\/8 - 27*k**3 - 163. Let d(m) be the third derivative of l(m). Let s(g) = 22*g**2. Give d(s(o)).\nAnswer: 330*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**3*a)**1*(a\/((a\/a**(-5))\/a))**25 assuming a is positive.\nAnswer: a**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 7*v - 28. Let x be p(4). Suppose -g + 0*g + 4 = -2*i, 4*g - 60 = -3*i. What is the highest common factor of x and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104469308 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 u(k) = -8*k**2 + 82699*k - 68475625. Let n(w) = -3*w**2 + 33079*w - 27390250. Let a(l) = 17*n(l) - 7*u(l). Factor a(f).\nAnswer: 5*(f - 1655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-22)*((-1)\/(-12))\/((-229)\/1832)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:59 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7*t - 4*t + 324. What is the least common multiple of t and 1308?\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -154, -307, -462, -619, -778, -939?\n\"Answer: -u**2 - 150*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/716548 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15989252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 31146261 (base 7) to base 2\nAnswer: 1001111110111000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -123767.57 to the nearest ten.\nAnswer: -123770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -2. Let l = -3 - -2.5. Let n = -9679\/21 - -461. What is the smallest value in n, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 81*w - 79*w. Suppose 0 = x + 8*x - w. What is the greatest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 1387140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9558255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Let c = 22 + -8. Calculate the remainder when c is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = s + 5, 4 = -v - 0*v. Suppose -4*g + s = -1. Differentiate 2 - 5 - 2*w**3 + 2*w**2 - 2*w**g with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 3. Let t be p(-5). Let f = t + 15. Suppose 2 = -d + i + 27, i = f*d - 46. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**7\/441 + 4*n**6\/315 - 2*n**5\/105 + 21*n. Factor c(l).\nAnswer: -2*l**3*(l - 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -887899930 rounded to the nearest 1000000?\nAnswer: -888000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431119 (base 11) to base 10.\nAnswer: 689599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 578 and 4964.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 8. Let i be s(-7). Let t = i + 30. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + l + 48. Calculate b(-10).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 387840 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091622 to seven decimal places.\nAnswer: 0.0000916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*g + 18, -t = g - 3 - 4. Suppose 0 = -4*j - 6 - 6, 4*j = g*k - 370. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25094762755243*k + 25094762755243*k - 3*k**2 + 5*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -3960 and -3961 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6729399410?\nAnswer: 2, 5, 263, 823, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355618 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 6. Let x(w) = 15*w**3 - 7*w**2 + 7*w - 82. Let j(v) = -10*v**3 + 5*v**2 - 5*v + 55. Let d(n) = -7*j(n) - 5*x(n). What is 6*d(b) - 25*s(b)?\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88973899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 43, 71, 113, 175, 263, 383, 541?\n\"Answer: x**3 - 2*x**2 + 19*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**16\/r)\/r*r))\/(r*r**(-5\/7)))**7*(r**(-2\/9)*r**(5\/6)*r)\/(r**(1\/3)*r**(-3)*r) assuming r is positive.\nAnswer: r**(-1741\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**7\/378 + n**6\/270 + n**5\/30 - 7*n**4\/54 + 11*n**3\/54 - n**2\/6 + 9*n + 7. Factor q(m).\nAnswer: -(m - 1)**4*(m + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3096\/6321*((-49)\/(-28))\/1.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i + 5*n - 15, -i = 5*n - 10 + 23 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30111 (base 4) to base 16\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -w - 42. Let a be w\/(-4) - 15\/20. Let o = 69 - a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1076.12 + -1076.02. Let c(i) = -i**2 + 7*i - 6. Let n be c(5). Let f be n\/170*(-6 - -1). Sort f, -1\/2, 1, t in decreasing order.\nAnswer: 1, t, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11548*c**2*w**3 + 4*c**2*w**2 + 5673419*c**2 - 444*w**6 wrt w?\nAnswer: 69288*c**2 - 53280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-50))\/(-1335*(-2)\/2675 + -1)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose -t*v - 2 - 4 = -2*o, 2*o + 5*v - 13 = 0. Suppose -o*q = q - 170. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -97.000206. What is b rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/42*3\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**27)\/u)*u*u**15)**(-3\/20) assuming u is positive.\nAnswer: u**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2. Let g(v) = 2*v**2 - 1154*v - 4. What is g(x(b))?\nAnswer: 18*b**4 + 3462*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 197*d**4\/24 - 1573*d**3\/6 - 9910*d**2. What is j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 2, l: 7, w: 2}. What is prob of sequence ww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 3*k**2 - 2*k + 6. Let z be f(3). Let h be 2*(-2)\/15*693\/(-616). Are z and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.8536 millennia to years.\nAnswer: 334853.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 8, f: 5}. What is prob of picking 1 d and 1 q?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -15. Let p = -6 + q. Let h = p - 5. What is the nearest to 0.1 in h, -0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -28*x - 10. Suppose 0 = -3*n - 5*z + 1897, 2*z = x - 1. Does 37 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 189, 189, 191, 195, 201, 209, 219?\n\"Answer: b**2 - 3*b + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 1 + 1)*(0 - 3 + 2) - 10*n - 2*n + 2 + n in the form b*n + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*b - 14. Let c(u) = 3*u - 1. Let x(i) be the second derivative of -5*i**3\/3 + 2*i**2 + 2*i. Let g(v) = 7*c(v) + 2*x(v). Calculate g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 22*t**2 - 41*t**2 + 12*t**2 + 5*t - 5*t**2 to the form x*t**2 + d*t + o and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/20 - 3*v**4\/4 + 7*v**3\/6 + 11*v**2\/2 + v. Let g be p(8). Find the second derivative of -g*u + 2*u + u**2 + 2*u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*q - 42*q + 170*q - 104*q**2 + 122*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -483 + 1929\/4. Let n = 8\/9 - 2\/9. Let k = -2 + 2.1. Which is the closest to k? (a) n (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*k - 679 = -23 + 676. Sort 0, -20, -1, k in decreasing order.\nAnswer: 0, -1, k, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 16*s + 1. Suppose -819 = 4*k - 5*p, 11*p = 5*k + 14*p + 1070. Let f = k - -212. Calculate w(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0. Suppose 3*a + 84 = 5*m, 2*a + a - 42 = -2*m. Suppose -m = 4*x - 6. Put x, n, 3\/2 in decreasing order.\nAnswer: 3\/2, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2056660 (base 8) in base 2?\nAnswer: -10000101110110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3777 + -2519. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 455*z + 2415. Let j(t) = -14*t. What is the least common multiple of h(-5) and j(-1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2, -186, 4\/5, -1, 2, 16.\nAnswer: -186, -2, -1, -1\/4, 4\/5, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + ((-12)\/(-4))\/(9\/24). Suppose 0 = -3*m + 4*z + 27, -y*m - 3*z + 45 = -2*z. Suppose 36 + 0 = m*i. Solve 4*f = 2*f - i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*o**2 + 1724*o**2 - 12334*o**2 - 1922*o**2.\nAnswer: -12640*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 40*p**3\/3 + 117*p**2 + 66*p. Let w be i(0). What is the highest common divisor of 156 and w?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 + 4*d**3 - 4*d**3)*(-3*d - 8 + 2 + 4*d) - 215*d**4 - 141*d**4 + 162*d**4 to the form c + y*d**4 + h*d**3 + k*d**2 + g*d and give y.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31479 and 43752.\nAnswer: 12273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 337*k - 2. Let r be f(1). Let t = 344 - r. Suppose 23 = 2*q + 5*d, -1 = -4*q + d + 4*d. Calculate the remainder when t is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1855 and 8480.\nAnswer: 59360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 696660649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (100 + -1)\/((-7)\/7). Let k = o + 302. List the prime factors of k.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 3. Suppose 4*c = -4*o, -16 = -7*o + w*o + 4*c. Suppose o*b - 2*n - 417 = -3*b, 5*n - 78 = -b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24783, 24788, 24797, 24810, 24827?\n\"Answer: 2*r**2 - r + 24782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1550850 by -14770.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9586395 to three decimal places.\nAnswer: -0.959","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 14*v**3 + 153*v**2 + 415*v + 15. Give o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -366, -1264, -3022, -5928, -10270, -16336?\nAnswer: -24414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 430292 and 2742?\nAnswer: 589930332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + 14 - 6) + (-137 - (-33 - -13))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 27888.\nAnswer: 83664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973*l + 718*l - 121095 = -1000*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - 7*z + 16*z)*(1 - 2 + 3 + 1 + 5 - 4 + (-1 + 1 + 2)*(5 - 1 - 2) + 7 - 3 - 2 - 5 + 1 + 2).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 3*i = 6*i - 360. Calculate the lowest common multiple of i and 12750.\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49501356 divided by 3\nAnswer: 16500452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u + 63. Determine j(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*p = -152*p. Is 1\/1727 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/2520 - g**5\/60 + g**2. Let q(c) be the third derivative of b(c). Let f(p) = p. Calculate f(q(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589254 is divided by 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 6) to base 15\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8207, -1, 2, 1 in descending order.\nAnswer: 8207, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2\/3)*90\/5. Which is bigger: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*d + 2*d**2 - 35*d)*(3*d**2 - 3*d + 3*d).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6586 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*g*g**(-3\/5))\/g*g)*g)*g**3)\/((g**(2\/21)*g)\/g*g\/g**5) assuming g is positive.\nAnswer: g**(767\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((6 - 116)\/10)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 448665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262 + 453. Suppose 5*k = -5*d + t - 46, 0 = 4*d + 3*k - 113. What is the greatest common factor of d and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - -1) - (0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from hhhhohagahhhaghh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/22*88\/24*39\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12762*g + 12741*g - 126 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 332345.7um?\nAnswer: 332345700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(21\/45*(0 - 3)). Is s greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159*t + 2300*t = 1165*t + 552 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 4, v: 1, r: 3, s: 5, z: 1}. Give prob of sequence nd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/8, -4\/109, 1, -1, -0.5 in decreasing order.\nAnswer: 1, 5\/8, -4\/109, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f - 4*f)*(36 + 4 - 70)*(-3*f - 1 + 1).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31103 + 10321?\nAnswer: 102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a factor of 1249663145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1315 = 4*j - 9*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -4*d**5\/5 + 4*d**3 + 4*d**2 + 3. Factor b(o).\nAnswer: -4*o*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8788*f**4*h - 2*f**3 + 11*f**2*h + 9*f*h - 4*f - 3186*h - 7 wrt f?\nAnswer: 105456*f**2*h - 12*f + 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + m**2 - 2*m + 1. Suppose -5*p + 16 = 6. Suppose 2*u + 0*u = -5*g + 6, -p*g = -4. Determine l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.0266, 3?\nAnswer: 0.0266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffrnfry. What is prob of sequence ffnr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 21?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 55 = -4*d, 0 = 5*d - 2*w + 4*w - 65. Calculate the highest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3228)\/(-84) + -29 - 3\/7 - 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34365*b*u**3*y**2 - b*u**3*y - 2*b*u**2*y + 12*b*u + 597*b*y**2 - 3*u**3*y - 10563*u**3 + 7*u*y wrt y.\nAnswer: 68730*b*u**3 + 1194*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 5. Let q(r) = -2*r - 6. Let z = 552 - 549. Give z*l(c) + 2*q(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-50)*890\/1602?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(1200\/72))\/((-15)\/(-65)*1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.57 + 74.37. Let x = o + -1.8. Which is smaller: x or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3964 plus -3?\nAnswer: -3967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 8:21 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + d + 1)*(7*d + 38 - 37 - d) to the form m*d**2 + z*d + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3\/9 + 16*p**2\/9 - 14*p\/3 + 4 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 3017 = 2897 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15953, -15954, -15955, -15956, -15957?\nAnswer: -15958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3557876 at least -3557871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.5851nm in millimeters?\nAnswer: 0.0000765851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107968078.\nAnswer: 2, 7, 79140577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10305 at least as big as 74.85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*((3 + sqrt(68))**2 + -5).\nAnswer: 216*sqrt(17) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9953 - -1?\nAnswer: 9954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0*b**2 - b + 1\/6*b**3 + 1\/12*b**4 + 0. Let y(a) = 3*a**2 + 6*a - 1. Let k(l) = -4*h(l) + y(l). Let k(u) = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0 (b) 0.4 (c) -0.4 (d) -234 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3052)\/(-4480) + 4\/(-10) and -63\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10689\/107 - -17942123\/179653. What is the common denominator of -69\/584 and x?\nAnswer: 13432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 1.7. Let m be (-2)\/4*2*0. What is the closest to m in j, 5\/6, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 5*f**4\/4 - 10*f**3\/3 - 15*f**2\/2 - 128. Find n such that l(n) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, a: 2, w: 2, g: 1, p: 2, b: 1}. What is prob of picking 2 a and 1 y?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*5*(sqrt(88) + sqrt(88)*3 - sqrt(88)))\/((4*-3*sqrt(80) + sqrt(80))\/sqrt(10)).\nAnswer: -30*sqrt(11)\/11 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {u: 1, p: 10, n: 4, y: 3}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l + 6. Let r(t) = -26*t - 17. Give -17*p(k) - 6*r(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1054*1 - 1) + (-10 - -6). Let b(v) = -3*v + 525 + 525 - q. Let o be 4\/(-4) - (2 - 2). Give b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o**2)*(2*o + 0 + 0) - o**2 - o**3 + o**2 + 2*o**3 + 3*o**3 - 4*o**3 - 2*o**3 - 1 + 1 + 44650*o**2 - 79*o**3 - 44650*o**2.\nAnswer: -83*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35988185.86 rounded to the nearest 10000?\nAnswer: 35990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -35*z**3 + 14780*z**2 - 1562455*z + 445210 = 0.\nAnswer: 2\/7, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 567510 and 5107590.\nAnswer: 5107590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187.23 + 188. Let s = w + -0.87. Let k = -33.2 + 33. Sort s, k, -3 in ascending order.\nAnswer: -3, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 1, c: 4, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148.905 - -14.325. What is f rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**3\/4 + 205*x**2\/2 + 349770*x - 5617440 = 0 for x.\nAnswer: -498, 16, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7831.318 centimeters to kilometers.\nAnswer: 0.07831318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 - 213. Let t = -95 + 289\/3. Which is the biggest value? (a) t (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Let m = 166 + -291. Let w = 78 + m. Let j = -45 - w. Give z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/99 - -2*(-112)\/(-36). Let j(u) = -u**3 + 7*u**2 + 4*u - 6. Let b(r) = -6*r**2 - 3 + 0 - 3*r + 0*r**2 + r**3 + 8. Calculate k*b(s) + 5*j(s).\nAnswer: s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -15. Suppose -3*p + 0*n + 12 = 5*n, -5*n - 15 = m. Calculate the greatest common factor of 72 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y = -39*y + 28. What is the hundreds digit of (-1505)\/y + 114\/228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 3*b + 3*b - 8*b. Let y(a) = 3*a. Let u = 19 - 13. Let z(i) = i. Let x(w) = u*y(w) - 26*z(w). Give s(x(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*i**2*q + 7*i**2 + i*q + 807*i + 1377*q - 56357 wrt i?\nAnswer: -52*i*q + 14*i + q + 807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i - 6. Let m(u) = u**3 + 6*u**2 + 6*u - 3. Let y be m(-5). Calculate the remainder when r(y) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.08, -0.4, 4, 39, 2\/175, 0.06, -2\/11?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244417, 244447, 244475, 244501, 244525, 244547, 244567?\nAnswer: 244585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*a**3 + 128*a**3 + 0 + 0.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 312, 1208, 3056, 6198, 10976?\n\"Answer: 57*v**3 - 37*v**2 - 2*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence booo when four letters picked without replacement from {o: 7, b: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 30*p**2 + 277*p + 2025. Calculate k(-6).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1 + 5 + 2*q + 3*q. Let j(c) = -1. Let g(h) = -f(h) - 6*j(h). Calculate g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -53944*z - 1132819. What is i(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 5*o + 1. Let j be g(-4). List the prime factors of 71 - (4 - j - -2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455481088.\nAnswer: 2, 1779223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 24*h**2 + 32*h**2 - 18*h**2 - 27*h**3.\nAnswer: -27*h**3 - 10*h**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37090.\nAnswer: 2, 5, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 u when four letters picked without replacement from uhfuuffuuugfuuuf.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 8114 + 2710 + 2700 - 5*h**2 + 2704.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1097033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9\/4)\/(s\/(((s\/(s*s**(1\/23)*s))\/s)\/s))*(s**(-12))**(1\/2) assuming s is positive.\nAnswer: s**(-1131\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/5))*m*m*m**(-1))\/(m**10\/((((m\/m**(-12))\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 9. Let o be g(-4). Let v = o + 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0 + 151\/60*g**5 + 0*g + 0*g**3 - 290*g**2 + 0*g**4. Let x(c) = -2*c**2. What is k(x(z))?\nAnswer: 604*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611499153.\nAnswer: 3, 89, 2290259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 5*b + 5. Let v be 30\/(-15)*(-10)\/4. Let n be g(v). Let l be 42 + (-3 - -2) - -1. What is the greatest common factor of l and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*f - q + 80, 0 = -2*f + q + 29. Let o be (-3)\/(-11)*10\/f. Let z be 638\/(-145) - (-8)\/2. Which is the closest to 0.3? (a) -1\/3 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2624, 2607, 2590, 2573, 2556?\n\"Answer: -17*w + 2641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 41 - 17*u)*(u + u - 3*u + u - 3*u + 0*u + (-u - 2*u + 4*u)*(3 - 3 - 2) + 2*u + 1 - 1).\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h - h**3 - 6 + 0 + 2*h**3 - 2*h + 5*h**2. Let v be w(-5). Find the second derivative of 3*k**4 - 3*k**v + 5*k - 4*k**4 wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35832 - 36408 = -32*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 17*u - 2. Let w = -1785 + 1794. Give t(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {k: 4, u: 14}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -10 - ((-14 - -9) + -8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (116\/10)\/((-2)\/(-10)). Suppose 0*y - y = -z. Suppose 0 = 5*b - 4*s - 82 - 58, -2*b = -2*s - y. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-87)\/1)\/(6*(-4)\/24). What is the greatest common factor of 4089 and q?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -706.8997 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqrqhqqrnqhqcqrrqqqr. Give prob of sequence hcn.\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkaxx. What is prob of sequence kka?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.294 - -5.25401. Let l = -0.04 - v. What is l rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 68 = -4*n, -3*n + n = 5*v + 100. Let j(s) = -s**3 - 22*s**2 + 3. Let h be j(v). Solve h*u = u + 4*q + 16, -u = -q - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 218, 218, 216, 212, 206, 198?\n\"Answer: -g**2 + 3*g + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l + 23. Let w be y(-12). Let q be (w\/10 + 1)\/(4\/(-88)). Round q to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 104?\nAnswer: -9\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -496*w - 66. Is t(-4) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (2 + -3) - (-57 + 58)) + 14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -v + 2*s - 3, -2*v - 2*s = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-5301)\/21) - (-19)\/(-57).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - -13 - (-269 + 265)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -100 + (29 - -165).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -17, -8, 3, 16?\n\"Answer: l**2 + 4*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**9\/48384 + c**8\/11520 + c**7\/10080 + c**5\/20 + c**2. Let l(j) be the third derivative of k(j). What is t in l(t) = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 22*r**2 + 19*r + 15. Let z be d(-13). Suppose o = z + 37. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/60 - 4\/(-30). Let h(d) be the third derivative of w*d**3 + 0*d + 0 + 5*d**2 - 1\/60*d**5 + 0*d**4. Let i(y) = 2*y**2. Determine h(i(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-3 - -4) + -2). Solve 5*h - c = 2*x, -2*x + h = 4*h - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12599 - 6067?\nAnswer: 6532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2638*d**4 - d + 2 - 2*d**3 - 3*d**2 + d**3 - 2519*d**4 to the form x + k*d + r*d**4 + h*d**2 + o*d**3 and give r.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7884.472l?\nAnswer: 7884472","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*s + 7. Solve 0 = s*i + 8 - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 95 = -305 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 2) + 4 + (-5 - 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 11*v**2 - 3 + 532*v - 12*v**2.\nAnswer: -23*v**2 + 532*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 165 - 117. Solve -4*b - 12 = 2*h, -o*b + 3 - 12 = -h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(((-16)\/(-10))\/(-4)). Suppose t = -3*t + h. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*v - 561, 3*v = 4*f - f - 582. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 58. Give z(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**4 + 2*p**3 - 2*p**3 + (3*p**2 + 4*p**2 - 5*p**2)*(2 - 2 - 2*p**2))*(4*p - 4*p - p).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {n: 4, j: 2, c: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let f(h) = -h**2 + 3*h + 6. Let a(v) = -2*v**2 + 15*v - 4589. Let t(z) = -a(z) + 5*f(z). Calculate i(t(b)).\nAnswer: 3*b**2 - 4619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27066)\/156 - -161)*(-1 - (-26)\/(-10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 + w**2 - 2. Let p be o(2). Let g = p - 36. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8076*w**3 - 5038*w**3 - 17445*w**3.\nAnswer: -30559*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 17*l**2 - 24*l - 21. Determine w(-13).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3101, 21, 1, -0.2, -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 789*m**4 + m - 1589.\nAnswer: 3156*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 15. Let d = w + -10. Let a(g) = -3*g - 5*g - d*g**2 + 7 + g - 2*g**2. Let u(h) = 4*h**2 + 4*h - 4. Determine -6*a(m) - 10*u(m).\nAnswer: 2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8252400 and 10350?\nAnswer: 24757200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -132*i**2 - 5282*i - 88. What is k(-40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - (1168 + -1187).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 407*p**4 + 410*p**4 - 2*p**3 + 803 - 775*p**4 wrt p?\nAnswer: 168*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*k + 43 = r - 134*k, -5*k + 1565 = 40*r for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 300*z - 314*z + 56. Solve 5*w + z*w + 27 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 112 = -4*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/12, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00491683 rounded to five dps?\nAnswer: 0.00492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3 + 5 - 3*h - 2. Let k(s) = -3*s. What is 5*a(i) - 6*k(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1.3. Let v = 1.07 - 0.7. Let n = -0.03 - v. What is the nearest to g in 0.1, -2, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n - 6. Suppose 0 = 4*s + 4*v - 2*v + 22, -2*s = 2*v + 12. Let a be d(s). Let m = a - -6. Solve m*k + 2 = 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 842 - 813. Suppose 0 = -i + x - 24. Which is the closest to 1? (a) 2\/9 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-14) + (-42)\/49. Is t less than -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 - -131.9. Let k = -5 - -2. Which is the smallest value? (a) x (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2234918913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232520 and 50282450.\nAnswer: 201129800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33296690, -66593382, -99890074?\nAnswer: -133186766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 498*h + 14256.\nAnswer: 2*(h + 33)*(h + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 147. Let s = -0.29 + 0.09. Which is the third biggest value? (a) y (b) -2\/29 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 3, -1, -4\/7, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0. Let l = -1.09 + 0.97. Let r = l - s. Which is the second biggest value? (a) -1\/8 (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(102)*-4)\/sqrt(6))**2 - (4*sqrt(119)\/sqrt(7) + 5).\nAnswer: -4*sqrt(17) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 + (-27)\/(-6). Suppose 5*o - 10 = -2*m + 3*o, 12 = 2*m + k*o. List the prime factors of 2\/m - 85\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140448 by -3192.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/64*4 - 2\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1023178*j**3 + 1466560?\nAnswer: -3069534*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/b**1*b)*b)\/b**(3\/5))**2)**(-20) assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1167 and 22\/2116881.\nAnswer: 823466709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189334*l*n**4 + 18*l*n - 2*l - 240*n**2 - 4 wrt n?\nAnswer: 4544016*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**2 - 16*n - 34. Let d(k) = 4*k**2 + 5*k + 12. Let i = -8 - 0. Let g(t) = i*d(t) - 3*c(t). Calculate g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, e: 6, a: 1, p: 5}. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -319 + 4?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n + 2. Let m be j(2). Suppose -3 = -4*c + k, 3*c = -2*c - 2*k + m. Is 8 a factor of (c - 1)\/((-1)\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/24 and -71\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104901756 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64005\/6427 or -10?\nAnswer: -64005\/6427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -10 - (515 - 498).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 240, 1576, 5140, 12048, 23416, 40360, 63996, 95440?\n\"Answer: 186*r**3 - 2*r**2 + 40*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - 2*s - 1. Suppose 7 = -4*m - 1. Let n = 3 + -4. Let b be 4 + m + n + -2. Give i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 0*h**3 + 2\/7*h**2 + 2\/35*h**5 - 2\/7*h + 9 - 1\/7*h**4. Determine k, given that m(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/2 + ((-42)\/(-7) - 8). Solve g*h - 2 = c, 3*c = 2*c - h + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63419666 + 6*r**2 - 11*r**2 + 63419666.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 3, -45, 7, 0 in increasing order.\nAnswer: -45, 0, 3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-18)\/f**4*f\/(f\/(f*f\/f**(-1)))*f*f\/(f\/f**5) assuming f is positive.\nAnswer: f**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 a factor of 39966667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89.038 - 2.138. Let x = p + -87. Let q = -122.9 + 118. Is q smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1882387884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*1)\/sqrt(2) + -2)**2 - (0 + sqrt(252) + 4 + 1)**2.\nAnswer: -84*sqrt(7) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = q - 2*t - 4, 4*t - 37 = -5*q. Let a be (-6)\/4*(-282)\/q. Suppose -5*j + a = -48. What is the remainder when 35 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/5)\/((-4)\/30). Let a = -86 - -146. What is the greatest common divisor of a and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from lffll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16468536?\nAnswer: 2, 3, 7, 61, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.59 + 0.49. Let g = -1 - -0.8. Which is the smallest value? (a) g (b) 1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:56 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5196 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 3) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(12\/48*14). Which is the second smallest value? (a) -2\/9 (b) g (c) -2\/65 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1267 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407975.\nAnswer: 5, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*14\/(-1750))\/(38\/(-20) - -2).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - 63\/(-6)) + -7)\/((-186)\/(-8))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -47*a**4\/6 - 5238*a**2 - 3021*a - 3. What is the derivative of w(z) wrt z?\nAnswer: -188*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-10))\/((-1)\/(-5)). Suppose -m*o = 5*p - 140, -2*o + 84 = 3*p - 4*o. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 - 10 = d, 4*d - 3*w - 24 = 0. Let q be d - (-3 - -3)\/2. Suppose -26 = -t - 2*t + 5*z, -q*t - 2*z = -61. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*m + 4707 + 4536 = -139 - 3128 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1274 + 1283. Solve -8 = 3*u + 5*b - 7, 3*b = 3*u + r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132255661829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56 + -2a773?\nAnswer: -2a71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 3*l - 19. Suppose 2*n - 8 = -22. Let r be a(n). Solve -3*g + r = 2*c, 3*c + 2*g + 0*g = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -380, -566, -740, -896?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*x - x - 18 = 0, 13 = -4*h + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.01 + 28.11. Let y = h - 27. What is the third biggest value in y, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -819*w + 571. Is 9 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*n - 40 = -10, n = -5*w + 30. Solve 5*a + 15 = -5*p, 6*p - w*a = 2*p - 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/5 - 524\/(-10). Let n be ((-14)\/35)\/(2\/(-10)). Suppose n*d + g - l = 0, 129 = 5*d + 5*g - 1. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 13*v**2 - 5*v + 9. Let t be w(5). Suppose -3*q + 46 = j + q, -4*j + t = -5*q. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/4 + -9 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17081 and 190.\nAnswer: 170810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 88*p + 94. Let j be u(43). Let r(f) = -f**3 + 8*f**2 - 8. Give r(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 398855*s + 797730.\nAnswer: -5*(s - 2)*(s + 79773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 2:24 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1650.7577 + 0.8423. What is s rounded to the nearest 10?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(637) - ((-3*sqrt(637) - sqrt(637)) + -1))**2 + 0 - 4*(sqrt(637) + (sqrt(637) - (0 + sqrt(637))**2) + -2)) + 3.\nAnswer: -36961 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710 + 345 = 5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-6)\/21) - -1. Let c be 2\/z - 10\/(-3). Suppose -7*x = -4*x - 12. Solve -x*g - g = -25, -2*s - c*g + 19 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (158\/10)\/(28\/(-10) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -12510?\nAnswer: 12510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 5*l**2 - 6. Let z be 4\/(-14) - 23\/(-7). Let s be 3 - (z + -3 - 3). Let g(y) = -3 - 2*y**3 + 4*y**3 - 2 - 4*y**2. What is s*g(c) - 5*h(c)?\nAnswer: 2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**2. Let r = -120 - -116. Let v(j) = -3*j. Let s(n) = -13*n. Let i(c) = r*s(c) + 18*v(c). Calculate i(w(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4355, -4365, -4397, -4463, -4575, -4745?\n\"Answer: -2*l**3 + l**2 + l - 4355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:39 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 8, 30 = -0*o + o - y. Let q be 1*-10 - (-140)\/(-20). Let v = o + q. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 4*n + 8*n)*(76*n - 106300 + 106300 + 9*n**2 + (4*n - 4*n + 2*n)*(-2*n + 1 - 1) + 0*n**2 + 0*n**2 - 2*n**2).\nAnswer: 12*n**3 + 304*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17*((-6)\/12)\/(1\/(-2)). Let y = 115 + -47. What is the greatest common factor of y and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/132 and -91\/16938?\nAnswer: 372636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 14. Let w be (-3 + 39\/z)*3. Suppose -y = -0*y - 5*q - 28, 4*q = -w*y - 8. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -522 at least 605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 60*q - 24*q. Sort q, -17, -2 in increasing order.\nAnswer: -17, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.1 + -21.1. Let x be ((-3)\/1242)\/(2\/(-1652)) - 2. Let a = -823\/1035 + x. What is the closest to 3 in a, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + -19.9. Let t = -24655 - -24671.943. Let d = u + t. Round d to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/18 and -2 - (335\/10 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((-16 - 6) + 21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u - 2. Let q(a) = -a**3 - 6*a**2 + a + 2. Let p(i) = q(i) - 2*z(i). Determine l so that p(l) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 9*c - 11*c + 6, u + 1 = 0. Suppose 4*z - 396 = -c*d, 114 = z + 4*d - 8*d. What is the highest common divisor of 119 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 16*j - 46. What is p(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21196479 and 1903?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45059982911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -7*b + 35. Let i = 0.346 + -0.646. What is the second biggest value in 1\/5, 3, b, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 735\/(-10)*(-8)\/6. Let a = -93 + u. Suppose 2*g + 221 = a*m + 3*g, 3*g = -3*m + 123. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.779 - -6.78?\nAnswer: -0.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 39 = 2*v. Let c be 4\/v + 2\/(-11). Suppose 2*u - 42 = -u - l, c = 3*u - 2*l - 51. 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 square root of 1979452 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and -0.06652.\nAnswer: -0.08652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4040 to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/166 and 15\/808.\nAnswer: 67064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 7 + -1 + 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -11, 1, 5, 10 in increasing order.\nAnswer: -11, 1, 2, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, z: 13, r: 1, p: 2}. Give prob of sequence pj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1916 + 1918. Put -2, f, -6, 3 in increasing order.\nAnswer: -6, -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = i. Let v(q) = i*q**2 + 4*q**3 - 5*q + 7*q - 2 - 3*q**3. Let a be 19 - 16 - (5 + 1). Give v(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2123 (base 4) to base 14.\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.08, -2\/9, -4, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**2 + 5*s**3 + 8*s**2 + (-s + s - s**2)*(-4 - s + 4) + (2 + 2 - 6)*(-5 + 5 - 2*s**3) + 0*s + 0*s - s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q - 5*x - 29 = 83*q, q - 17 = 3*x. Solve -3*h = 3*u + 6, 4*h + 17 = -h + q*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/120 + 13*a**5\/20 - 17*a**4\/24 - a**3\/6 - 10*a**2 + 1. Is c(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -543\/8?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425 divided by 2.\nAnswer: 425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-9\/8)*d)*d)\/(d\/(d*d**(-10))*d)*d**18\/d*d*d**(-3\/14) assuming d is positive.\nAnswer: d**(499\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 384576 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22201221202201 (base 3) in base 13?\nAnswer: -c67c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 + 124 - 109 - 384 + 7*q**2 + 113 + 146.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from bblblblbbbbll?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 0.79?\nAnswer: -5.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 127 = 8*m. What is the highest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79676, 4, 6, -5, -10 in increasing order.\nAnswer: -79676, -10, -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14215.7 - 14830. What is j rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00814880935 to five dps.\nAnswer: -0.00815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71\/197 in -1\/2, 2\/37, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*k - 64*k + 138*k)*(-2 + 1 - 5 + 2).\nAnswer: 440*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.8 - 23. Suppose -3*y - 20 = -7*y. What is the second biggest value in -5, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-14)\/r*r*r\/r**(-8\/11) assuming r is positive.\nAnswer: r**(-135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34\/17263 + -8576107\/1829878. Let q = 10\/53 + l. Find the common denominator of -61\/46 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.62.\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 105. Solve 2 = 3*s + 3*o - g, 3*s - 5*o + 18 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-1360)*392*2\/7?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/7 greater than or equal to 1232\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 4*h + 3490 = -11*v, -5*v - h + 5794 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Let v(s) = -s**2 - 11*s. What is the least common multiple of v(-10) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 10:56 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1123971*s**5 - 1163080*s wrt s.\nAnswer: 22479420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 minus 0.3?\nAnswer: 1912.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-27))\/((-1)\/(8\/10))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-15)*(-6)\/3*(-21)\/49?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + s - 3*s. Let w(y) be the second derivative of y**3\/6 + 4*y. Determine t(w(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcip when four letters picked without replacement from ppccclci?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 333*y - 95. Let i(j) = 1001*j - 284. Let s(c) = -4*i(c) + 13*r(c). Find the first derivative of s(a) wrt a.\nAnswer: 325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2567820 from 265.\nAnswer: -2567555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-4 + 6 + (-1 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53 and -309.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 - 6632*i - 569415 = 0.\nAnswer: -6545, -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 653298 to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -14) + (9 + -7 - -6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 4*n = -32*j + 180, -10*j - 4*n = 360 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (8 - (3 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.624353 - 0.5\nAnswer: 7.124353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = 5*m, -3*m - 3*r + 13 = 2*m. Let d be ((-12)\/15)\/(m\/5). Let c be d + -1*(-4 + -3). Solve c*k + 4 + 8 = -l, -3*k = 5*l + 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44651 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/7))**(-1\/5)*(p*p**(-3\/26)\/p)\/(p*p**(31\/5)) assuming p is positive.\nAnswer: p**(-6917\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 293 + -324.7. Let y = -30 - q. Let g = y - 1.74. Is 0 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2512 + 263. Let w = u - -32. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/30 - 3600*j**2. Let m(y) = 7*y. Calculate m(f(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8543259 divided by -2847753\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 25. Factor 4*v**3 + v**5 + 0*v**3 + 2 - 6*v**4 - 6*v + 4*v**2 + v**l.\nAnswer: 2*(v - 1)**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17730317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(43*17\/(-2193))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370157?\nAnswer: 139, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 12 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -130*(-2)\/16 - 1\/4. Let v(d) = 25*d + 96. What are the prime factors of v(t)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:39 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + 5 + (-10 + 11 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130332231 - -3132?\nAnswer: 131002023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -455, -350, -221, -68, 109, 310, 535?\n\"Answer: 12*m**2 + 69*m - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/y)\/y**(-11\/3)*(y**(-4))**(-1\/46))**(-13) assuming y is positive.\nAnswer: y**(-14144\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -966176 times 58?\nAnswer: -56038208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/7810 and 137\/30?\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (23 - -1)\/(-2). Solve -z - b = -4*z, z - 8 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 752492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*-3*2210\/53040?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 2. Let d = 7 - y. Let t be (-1)\/4 + 18\/8. What is the biggest value in t, 0.4, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*y**3 - 8*y**3 - 131 + 132 + (30*y**2 - 20*y**2 + 19*y**2)*(-2*y - y + 2*y).\nAnswer: -3*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -15*t - j, 86*t - 4*j + 3*j + 89 = 97*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110\/4*(-1 - -5)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 2*o + 21 - 10 - 3*o**3 - 10 to c*o**3 + z + a*o**2 + t*o and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1160 (base 9) to base 10.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j. Let f(t) = -26 + 26 + 3*t**2. Determine q(f(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 3 + 0*h**3 + 0*h**2 + 2*h - 2\/5*h**5 + 0*h**4. What is the first derivative of g(z) wrt z?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (2 + -4)) + -2. Let s(r) = r**3 + r**2 - 14. Let l(k) = -2*k**3 - 3*k**2 + 29. Let u(b) = 2*l(b) + 5*s(b). Give u(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-210)\/45*(-6)\/4. Suppose -x = -3*m + 5. Suppose r - m*h = 6, r - 6 = -h - 3*h. 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: b\"What is the zth term of -60, -512, -1272, -2346, -3740, -5460, -7512, -9902?\n\"Answer: -z**3 - 148*z**2 - z + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4203377\/12027 + -1013\/633. Let u = w - 348. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 + 11*x + 25. Let d be v(-8). Let m be (-1*1\/4)\/(0 + d). Put m, -0.4, 1\/6 in increasing order.\nAnswer: -0.4, m, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11412, 22730, 34072, 45450, 56876, 68362?\nAnswer: 79920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -12 - 6. Suppose 193 = b*v + 151. What is the remainder when 40 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -24, -29, -36?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1312 and 1148?\nAnswer: 9184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71 and 477830?\nAnswer: 477830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 513667 (c) 3\/203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2591244627 to five dps.\nAnswer: 1.25912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -149*f - 393. Let z be g(-3). Is z at least as big as 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 5*m + 2. Let p = 9 - 4. Let a be f(p). Sort 0, -5, a in ascending order.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let w(n) be the third derivative of 377*n**5\/20 - n**2 - 228*n. Give o(w(t)).\nAnswer: -1131*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llcllclclc. What is prob of picking 2 c and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -435*k - 57. Let b be j(-4). Let n = -724 + b. What are the prime factors of n?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.02, -2, 3, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 9\/56*c**4 + 0*c**3 + 0 + 0*c - 1\/140*c**5 + 78*c**2. Let d(g) = 0. Calculate g.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213136 (base 8) to base 9.\nAnswer: 117670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o + 6. Let x be (5\/o)\/((-4)\/12). Solve 16 = -x*h + h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2289, -7410, -15935, -27864, -43197?\n\"Answer: -1702*v**2 - 15*v - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/57934 and 99\/211982?\nAnswer: 73981718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 539 = 2*f - 493, 0 = 6*p - 2*f + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1329 and 47400557?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1056350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.4114 - 6.4. What is f rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -318*g - 44473. Give y(-140).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 0.5, -31, -2.2, -1, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -77, -5.\nAnswer: -77, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 132304 (base 5) to base 15\nAnswer: 18a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3332\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-30)*42\/(-7).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4 - (-8 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*((sqrt(95) - 3*-1*sqrt(95))\/(sqrt(245)*-1 - sqrt(245)))**2 + -2).\nAnswer: -500\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4772386, 9544778, 14317170, 19089562, 23861954?\n\"Answer: 4772392*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9444293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3995305 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420701294?\nAnswer: 2, 13, 1163, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 18. Suppose -y - s*y = -y. Solve 0 = -5*o - y*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*3)\/((-33285)\/(-4438))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -328053 <= -328053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-984)\/(-7) + 6\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23802496*j + 28718259.\nAnswer: 23802496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*w + 30, -5*w - 2 + 7 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxq when three letters picked without replacement from xqxxq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {d: 2, h: 1, v: 7, z: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*g + 2 = 4*r, 0 = -2*r - 4*g - 12. Suppose -3*q - 211 = 4*a, 6*q + 365 = q - r*a. Let d = 133 + q. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423 + 465*c + 844 + 15*c**3 - 14*c**3 - 421.\nAnswer: c**3 + 465*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-4 - (-12 - -3)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 10*m - 6. Let w be j(-9). Suppose 5*p - 19 = 171. Suppose 0 = -3*h + 5*h - 2*v - p, -w*h + 45 = 3*v. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2)*(-21)\/(-14). Let j(u) = 3*u**2 - 2*u + 3. Let r be j(x). Does 16 divide (r - 1)*(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8573041.408 to the nearest 1000.\nAnswer: 8573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + -1 + (sqrt(156) + sqrt(156)*3)\/sqrt(12).\nAnswer: -1 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285989040 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57\/8 + 75\/8. Suppose 0 = 3*f - 588 + 585. Do f and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {i: 4, v: 3, r: 5, c: 7}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 14) to base 10.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2205 - 2195. Solve -29*g = -2*x - 30*g - 8, 0 = -4*x + g - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 773936*z**2\/5 - 147821772*z\/5 - 764\/5.\nAnswer: 4*(z - 191)*(193484*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r + 2. Let h(k) = -12*k + 2. Calculate 3*h(s) - 4*y(s).\nAnswer: 8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjccwjccvwc. Give prob of picking 1 j and 1 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 3216 = 8*c. Let u be -1*2*c\/6. Round u to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/120 - ((8 - 1) + 828\/(-115)). Let l = -6 + 6.07. Let k = 0.07 - l. Which is the nearest to 1? (a) h (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24045.\nAnswer: 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 + 669*m**2 - 196563*m + 195891 = 0.\nAnswer: -391, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9824 and 0.023.\nAnswer: -225.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-2*j + j + 2*j) - 43*j + j + 3*j + (0 + 0 - 2)*(5*j - 5*j + 2*j).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/9, 867, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1610 + 15217?\nAnswer: 13507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, z: 3}. Give prob of sequence zgzg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 1980.24?\nAnswer: 39.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*k - 4*l, 10*l = 5*k + 7*l + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.35141 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 4. Let h be n(-10). Let w be 732\/12 - -5*3\/(-3). Let a = w + h. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 48883.595355 and 0.11?\nAnswer: 48883.485355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 2*j**2 + 152 - 49.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = -63*l + 181858. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -70*m**2. Let p(a) be the second derivative of 0*a**3 + 23*a - 3 - 1\/6*a**4 + 0*a**2. Calculate g(p(t)).\nAnswer: -280*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2207 - -2.13\nAnswer: 2209.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 7*t - 3*t)*(-3*t + 2*t + 3*t) + t**2 + t - t + 9216 + t + t**2 - 4244 - 4234.\nAnswer: 4*t**2 + t + 738","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**3*t**3 + j**3*t - 3*j*t**5 + 2*j*t**2 + 47*j*t wrt t.\nAnswer: 24*j**3 - 180*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -3\/4 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22310, 22312, 22314, 22316, 22318?\n\"Answer: 2*v + 22308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 212, 1146, 3688, 8642, 16812?\n\"Answer: 134*r**3 - 4*r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3 + 2*sqrt(52) + sqrt(52) + sqrt(416)\/(1*sqrt(8)))**2)*-5.\nAnswer: -4200 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 1, d: 1, m: 2, v: 1, f: 5}. What is prob of picking 1 v and 1 d?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-6)*h)\/h)\/h**(-1)*((h*h**(2\/23))\/h*h)\/h*h**5 assuming h is positive.\nAnswer: h**(324\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-173.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + q - 86 = 2*q, 4*r - 164 = -2*q. What is the remainder when r is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -47, -1, -4, 3442, 2 in increasing order.\nAnswer: -47, -4, -1, 2, 4, 3442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 33*c**3 - 8*c**2 + 86*c + 52*c**3 - 126*c**3 + 66*c**3 wrt c.\nAnswer: 150*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 15 = 10. Let v = f + 1. Let t(a) = a**3 + 3*a**2 - 4*a - 3. Let b be t(v). Is b at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23493529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 271457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 6. Let m be r(12). Let s be (1\/3)\/(m\/(-36)). Suppose -n - s*n = -21. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1170bb5 (base 15) to base 8\nAnswer: 57553614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 13*z + 34. What is k(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 18*p**2 + 27*p - 1. Let o be u(-8). Suppose -33*f + o = -2431. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2196, 4393, 6590, 8787, 10984, 13181?\nAnswer: 15378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 15*c + 23. Let b be m(8). Suppose 3*f - 106 = -b. Let w = f + 22. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**8\/20160 - x**7\/840 + x**4\/8 + 10*x**2. Let m(q) be the second derivative of f(q). Factor m(d).\nAnswer: d**2*(d - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205137941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, o: 3, q: 8, f: 2}. What is prob of picking 1 q and 1 o?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 34*u**2 - u - 2. Let y be p(-2). Let t = y - 98. Suppose -t + 102 = 4*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.7410186 to two dps.\nAnswer: 72.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**13*f)**36 assuming f is positive.\nAnswer: f**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 50*i - 55 - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + p**2 + 3*p + 3. Suppose -5*y = 5*f + 35, -3*y + f - 1 + 0 = 0. What is the tens digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.68 at most as big as -25.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**3 + 15. Let f(m) = -19*m**3 - 31. Let o(z) = -13*z**2 - z + 1. Let k be o(1). Let r(x) = k*b(x) - 6*f(x). Differentiate r(s) wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1230 or 1229?\nAnswer: 1230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 - 6*r**2 - 45*r - 1. Let d(i) = -9*i**3 + 9*i**2 + 71*i + 2. Determine 5*d(y) + 8*l(y).\nAnswer: 3*y**3 - 3*y**2 - 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + 416\/6. What is the highest common factor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Suppose -8*n = 6 - 30. Let b be v - 2*(-3)\/n. Solve b = p + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m - 1\/12*m**3 + 1\/16*m**4 + 1\/20*m**5 - 1 - 1\/8*m**2. Determine s so that q(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 + 26.1321000644?\nAnswer: 25.0321000644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.02. Let z = -2.53 - -2.5. Let r = z + l. Which is the second smallest value? (a) r (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 12:48 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*o - 5. Suppose -4*b = -o*b + 6. Suppose 4*i = -5*x + 3*x + 44, -5*i = -x - b. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4*-18 + 4\/(-8). Suppose -l*p = 203 - 231. What is the remainder when 23 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 18 = 3*w. What is the remainder when (-12)\/8*w - 1 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, b: 5}. Give prob of sequence bb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120943\/11 - 10995. What is the fourth smallest value in -6\/31, d, -1, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-64587)\/720 + 91 - 8\/6\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**4 + 4*w**3 + 2*w**2 - 8*w wrt w?\nAnswer: 24*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, e: 1}. What is prob of sequence ae?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 1. Let m be ((-110)\/33 - -5) + 69\/(-36). What is the second biggest value in m, 2\/17, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -350*c**4*o**3 + 3*c**4 - 2*c**2*o + 3135*o**3 wrt c?\nAnswer: -8400*c*o**3 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 546*f**3 + 24291*f**2 - 50232*f + 25392 = 0.\nAnswer: -92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 7. Let r be ((-9)\/15)\/(2\/(-110)). Calculate the highest common factor of r and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(2\/(-44)). Suppose 9 = 3*q - 6. Let j(k) = k**2 - 2*k - 4. Let d be j(q). Calculate the greatest common divisor of d and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from iaiiiiiigbiiiii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21304, 85092, 191362, 340114, 531348, 765064, 1041262?\nAnswer: 1359942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.0384 - -2.09. Round b to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-4*-4*-5.\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 + 6 = 3*o, -2*b = -3*o + 8. What is the second derivative of 0*y**2 + 2*y**2 + 5*y**3 - 4*y - b*y**2 wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p - 6. Let q be c(15). Let f = 247 - q. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.146 - -0.024. Let b = -0.01 - d. Put b, -1, 2\/9 in ascending order.\nAnswer: -1, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23110380*s**3 + 7703457*s**3 + 7703462*s**3 + 7703459*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767573.99 rounded to the nearest ten thousand?\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1532968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)*i)\/i)**(5\/16)\/(i**5\/i**(2\/9))*(i**(1\/3))**31\/(i**(-8)*i**1\/i) assuming i is positive.\nAnswer: i**(1937\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:45 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -87474?\nAnswer: -8747b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -22 - (-2 + 25).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10.2 * 0.81\nAnswer: 8.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -5)*1*0. Determine f so that 0 + g*f - 1\/4*f**3 - 3\/4*f**4 + 1\/2*f**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (4 + 9 + -12 + 9 + -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 959542, 3838150, 8635824, 15352570, 23988394, 34543302, 47017300?\nAnswer: 61410394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(0 - -2) + 4. Let j(f) be the third derivative of 0 + 0*f + 1\/240*f**5 + 1\/24*f**g + 2*f**2 + 1\/48*f**4. Suppose j(y) = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217\/(-62)*(-6)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 25*v**2 + 4*v - 67. What is the remainder when 52 is divided by o(25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 13*v**2 + 1 - 18*v**3 - 3.\nAnswer: -18*v**3 + 13*v**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-10331)\/2*26\/(-65) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6571617667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*(15 - 12 - 4\/3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/53658 in 0.2, 10, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20819 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(340)*-2 - sqrt(340)))\/(3*sqrt(160)))\/((sqrt(98) - sqrt(98)*-5)*-2*-1).\nAnswer: -sqrt(17)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/10 - -1\/30. Let p be ((-12)\/(-270)*-2*10)\/(6\/9). Which is the nearest to -12? (a) p (b) -1\/6 (c) -3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5416 is divided by 160.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 2*u + u - 16 + 16 + 17 + 3*u.\nAnswer: 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143139094.\nAnswer: 2, 7, 1460603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = -5*p + 32, 5*p = -3*v + 19. Let j = 0 - v. Calculate the least common multiple of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02 (b) 4 (c) 3443 (d) 2 (e) 0.1 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1634 and 11.\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106678678 and 29888.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 24. Let g be (-2)\/u - (-3)\/135. Put g, -1\/2, -1\/4 in increasing order.\nAnswer: -1\/2, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**3*y + 151*n**3 - 189*n**2*y - 39447*n*y - 17*y wrt n.\nAnswer: 18*n*y + 906*n - 378*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 - 1066692*c + 14933296 = 0 for c.\nAnswer: 14, 533332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -1\/3*d**4 + 0*d**3 - 15 + 0*d**2 + 2*d. Let q(t) = 18*t**2. Determine q(i(y)).\nAnswer: 288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133490039.\nAnswer: 8081, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107893*w**5 + w**2 - 28*w + 2010.\nAnswer: 6473580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 4*n + 12. Suppose 4*f + a = 4552, n*f = 8*a - 3*a + 2254. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/2, 81, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (0 + sqrt(192) + -1 + sqrt(192))) + sqrt(192) + 1 + sqrt(192) + 2.\nAnswer: 4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 98. Let v = -109 + y. Find the common denominator of (34\/(-16) - -2)*v and -89\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 504 - 500. Is 12.8 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*l - 7*l - 18829, 3*l = 5*v - 23534. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380946 is divided by 126780?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -287*z**4 + 203990*z - 934498746 wrt z?\nAnswer: -1148*z**3 + 203990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12188 + 12180.9026. Round n to 2 dps.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 63*c - 920. Let f be u(-40). Put -11, -1, -5, f in descending order.\nAnswer: f, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6\/23)\/p*p**(-8\/9)*p*((p\/p**1*p)\/p)\/p*p\/p**(-1\/37)*p assuming p is positive.\nAnswer: p**(-940\/7659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -7 - -6) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {o: 4, r: 1, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4353142\/379 or -11487?\nAnswer: -11487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 8. Let i be l(12). Let m be (i - 0)\/(-19 - -5). Let j = -743\/33 - -67\/3. What is the third biggest value in -5, j, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 2978 + 1512 + 836 = 0. Calculate the highest common divisor of 8145 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**13)**(-28)*(c\/(c*c*c\/(c*c*c\/c**(-16))*c*c))**(-9\/7))**40 assuming c is positive.\nAnswer: c**(-107320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**3 + 5. Let y(z) be the third derivative of 13*z**6\/120 - 11*z**3\/6 + 36*z**2 - 2. Suppose -5*t - 44 = 1. What is t*g(n) - 4*y(n)?\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*i = 534*i - 1110 - 837 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 2. Let d be m(-3). Let h = -3 - d. What is the least common multiple of 5*1 + (-8)\/h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7522564405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4.1. Let v be (4\/(-30))\/(25\/125). Put -3, v, k in descending order.\nAnswer: k, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23957 or 551041\/23?\nAnswer: 23957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 245*-0.1\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-312)*-8*(-14 - -1)*-6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 53*q + 7. Let m = 128 + -115. What is the hundreds digit of l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -7*s - 123. Let m be (-1 + (-7)\/3)*39\/s. Sort m, 1\/6, 0.4, -0.5 in increasing order.\nAnswer: -0.5, 1\/6, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 16*u**5\/3 - 49*u**4\/3 - 77*u**3\/3 + 53*u**2\/3 + 61*u\/3 - 4\/3 = 0.\nAnswer: -1, 1\/16, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -444831 or -444841?\nAnswer: -444841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165427*t**4*x + 2*t*x + 2960*t - 11*x wrt t.\nAnswer: -1985124*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 2*o + 3 + o - 2. Let f be y(-2). List the prime factors of f\/4 - (-3)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from {m: 1, i: 5, l: 1, j: 1, r: 3, a: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 4*i + 277. What is the thousands digit of s(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) + -3*-1*sqrt(80) - sqrt(80)))**2 + 4.\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636673 (base 8) in base 7?\nAnswer: 11330036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 2510, 4776, 7044, 9314, 11586, 13860?\nAnswer: 16136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*u - 49*u - 130683. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -180. Let b = -81 + o. Is b*6\/(48\/14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/40*1 + 63\/(-84)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -25*(6\/(-15) + 0). Let g be (x\/(-6))\/(2\/(-6)). Suppose 5*i + 15 = -g. Which is the biggest value? (a) i (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 868*w**2 - 262*w**2 - 211*w**2 - w - w - 198*w**2 - 199*w**2.\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23.0548 and -16?\nAnswer: 39.0548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j**3 + 6064536*j**2 - 3032265*j + 379033.\nAnswer: -(j - 379033)*(4*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/52246227 and -34\/204235251.\nAnswer: 2246587761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13414456 plus 3511?\nAnswer: 13417967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) - 1*sqrt(1152))*5)**2.\nAnswer: 125\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(117) + 3)**2 + sqrt(117) + 4)*6.\nAnswer: -1560 - 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179 by -77.\nAnswer: 179\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -8509\nAnswer: -2\/8509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 13*l**2 - l - 6. Let y be i(6). Is y - ((-6)\/21 - (-9)\/7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 5*v - 15*y + 25, -17 = 4*v - 3*y. What is the closest to 0.2 in -0.5, -5, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6987)\/(-1173) - (-20)\/(-4). Which is the nearest to f? (a) 0 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 + 969535*n**2 + 3878075*n + 2908545 = 0.\nAnswer: -193903, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28229?\nAnswer: 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18431109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1992, 5312, 10846, 18594, 28556?\nAnswer: 40732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - o = 20, 4*o = m + 7*o. Let u = m + 79. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 2c5bb3?\nAnswer: 2c5bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) + sqrt(114)*-1 + sqrt(114) + sqrt(114) - sqrt(114)))\/sqrt(6) - (4*-1*sqrt(19) - (sqrt(19)*-2 + 0 - sqrt(19)))**2.\nAnswer: -5*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1796, 3, 0.1, -1\/6 in decreasing order.\nAnswer: 3, 0.1, -1\/6, -1796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, k: 15}. Give prob of picking 1 l and 2 k.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(1088) - (-2 + sqrt(1088))) - (1*sqrt(272))**2.\nAnswer: -274 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6011.028 to the nearest 10.\nAnswer: 6010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + 1. Let p(j) = -16*j + 2. Let o be p(2). Let s be 19*a\/(-3)*o. What is s rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 + 35\/10. Suppose -3*l = -0*l. Suppose -5*p - c*v + 13 = 0, 0 = 3*v - l + 9. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178778, -178723, -178604, -178385, -178030, -177503?\nAnswer: -176768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 7, t: 11}. What is prob of picking 1 g, 1 q, and 1 t?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2 - 3 - f**2 + 6*f + 12 - 6. What is q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - 10*n**2)*(-3*n**3 + 3*n**3 + 8*n**3) + 2*n**5 - n**5 - 2*n**5 + (n**2 + 0*n**2 - 3*n**2)*(-5*n**3 + 0*n**3 + 2*n**3).\nAnswer: -51*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 7*x**2)*(8*x - 4*x - 22 - 2*x)*(3*x + 5*x - 3*x).\nAnswer: 70*x**4 - 770*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(468)*-1 - sqrt(26)\/sqrt(32)).\nAnswer: -25*sqrt(13)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*w - 9*w + 1 + 15*w)*(2 + 0 - 1)*(-3*w**3 + 2*w**3 + 0*w**3) to the form j*w**4 + z*w**2 + u*w**3 + c*w + d and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.07 - -1.1. Let u = -6.97 - x. Which is the third smallest value? (a) u (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 + (-1701)\/42)\/((-12)\/8 + 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3261385193 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**2 - 16*h**4 + 69\/10*h**5 + 0 + 0*h**3 - 83*h. What is the third derivative of t(n) wrt n?\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1445 - 0.1555. What is the smallest value in 7, 25\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:17 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 7*q**2 - q + 9. Suppose 3*m - 5*u = -u - 33, 1 = -m - 2*u. Calculate i(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - b. Suppose 2*h - 4 + 0 = 0. Let o(a) = 1 - 1 + a**h. Calculate o(z(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 569689 divided by -157?\nAnswer: -569689\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5)*z*z**(-31))**25 assuming z is positive.\nAnswer: z**(-850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + -42 - 40) + 10 + -24.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100000 rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 + 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000532 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m = 5*b + 126, -4*m = -4*b - 128. Suppose -m = -3*j - 2*a, -4*j = -4*a - 40 - 12. Let k = -6 + j. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(((-8)\/14)\/(-4))\/(537\/(-296961))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dblv when four letters picked without replacement from vdvvcllccblocv.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*225\/(-15)*((-25)\/(-5))\/5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeepexepe. Give prob of picking 2 e and 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106032200 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 7*t + 5. Let w be p(4). Solve 0 = -2*y + w - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -0.84.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 1\/12*c**4 + 0 + 2*c**2 - 4*c - 2*c**3. Let b be o(13). Calculate the greatest common divisor of b and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -481755728*y**3 - 121741*y - 418.\nAnswer: -2890534368*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6439\/42 - -6445\/42. Find s, given that -10\/7*s**2 + z*s**3 - 23\/7*s - 12\/7 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 (base 13) in base 16?\nAnswer: -fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.46 + 114.54. Let u = -17531.774 + 17415. Let r = u + h. Round r to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*220\/(-231)*6\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -4*z + 2*f, 0 = -4*z - 3*f + 38. Let o be (1 + 268\/(-1))*(-21)\/63. Let i = o - 53. What is the remainder when i is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -270, -159, 334, 1209, 2466, 4105?\n\"Answer: 191*h**2 - 462*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 12*d - 7 = 0. Let z be (1\/(-2))\/(d\/(-12)*-6). Let o be 47 - 1*(z - 2). Calculate the greatest common factor of o and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 1 q when three letters picked without replacement from {j: 1, y: 5, b: 9, q: 1, r: 1, n: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -370 divided by -2916\nAnswer: 185\/1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u. Let k(x) = -10517*x. Give k(f(b)).\nAnswer: -94653*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*r**3 + 2*a*r - 972*a + 24*r - 1 wrt r?\nAnswer: 3*a*r**2 + 2*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3 + 11. Suppose 3*w - 6 = -5*y + 2*y, t*y + w - 2 = 0. Let x be (-2 - -3)*5 + y. Solve -3*p + 5 = -5*l + 4, 0 = -2*p + x*l - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m**2 + 4*m - 2. Let k be 16\/(-24) + 22\/6. Let o(z) = z - 1. Let g be o(k). Give s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9207619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*k + 25 - 148, 5*k - 133 = 4*g. Let q = k + -35. Let t = q - -16. Solve 3*a - 15 = t*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60837*h**2 + 73934*h**2 - 10750*h**2.\nAnswer: 124021*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-9) + 2)\/((-40)\/(-114300)). Is -1908 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8616014*y**4 - 20*y**3 - 6*y**2 - 3808057*y + 3 wrt y.\nAnswer: -206784336*y - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 661.8 - 3230192.\nAnswer: -3229530.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-6 + 2 + 2)*(-31*t**2 + t**3 + 31*t**2) to the form b*t**2 + p*t + m*t**3 + x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -116, -240, -374, -518, -672, -836?\n\"Answer: -5*q**2 - 109*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - -3) + -10 + -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 + 102.74.\nAnswer: -229.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 - 9*p - 3 - p**2 + 10*p. Let s be r(-4). Let j = s - -82. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from jjejjjjjjjjjj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 + 859. Suppose -3*d + z + 446 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2024 + 4392. What is the tens digit of (-8)\/(-10) - y\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5510.\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/28 + (-4)\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5\/12 (b) 1\/3 (c) 4\/9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 541439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/((-1590)\/(-60))*(-76)\/(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.107 * 0.376\nAnswer: -0.040232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -0.5, -3, -1351211, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.5, -3\/5, -3, -1351211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 80. Let u = 14.17 + -0.17. Let o = -13.9 + u. Which is the nearest to -2\/5? (a) -2\/9 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*s = 2*o - 6, -9 = 2*o + s. What are the prime factors of o\/(-9) - 88\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000095209 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 26*s**5 - 160*s**4 - 54*s**3 + 532*s**2 - 392*s + 48 = 0?\nAnswer: -2, 2\/13, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-18)\/(-10))\/(2\/(-5)). What is the tens digit of 4 - (d + 7) - -31*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91124 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/15)\/(17\/102))\/(46\/(-115)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 5, 1 in increasing order.\nAnswer: -52, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130687 is divided by 296.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 3*q**2 - 4*q + 2. Let j(m) be the first derivative of -m + 3\/2*m**2 - 133 - 2\/3*m**3 + 1\/4*m**4. Determine -3*j(d) - 2*l(d).\nAnswer: -d**3 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5 (b) 2\/3 (c) -33 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvvzbzkkkzzzzzzbzb. Give prob of picking 2 z and 2 v.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*-3 - (2*sqrt(588) + sqrt(588)))\/((sqrt(66) - (sqrt(66) - (sqrt(66) + sqrt(66)*-2) - sqrt(66))*-5)\/((sqrt(110)*-2)\/sqrt(10))).\nAnswer: 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3 + 6\/5*f + 0 + 17\/5*f**2 = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - (-3 + (-490)\/21). Find z, given that 4 + p*z**2 - 47*z**2 + 17*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/(12\/88). Let m = 13 - c. Find the third derivative of b - b - 3*b**m - 4*b**3 - 2*b**3 wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -101 + -2032?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9644*c**2 + 9653*c**2 - 38677*c**2 + 9684*c**2 + 9666*c**2.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(72)\/sqrt(4)*6)\/(2*(-6*sqrt(135)\/sqrt(3))\/sqrt(5)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 4*l**3\/3 + 11*l**2\/2 + l + 6. Is w(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -13, -11, -9, -7?\n\"Answer: 2*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 19\/8*z**4 + 0 + 0*z + 11*z**2 - 1\/3*z**3. List the prime factors of m(4).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 1) + -51 + 13 - -31.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202 - 199. What is the third derivative of -292*n**p + 574*n**3 - 282*n**3 - 38*n - 8*n**6 - 2*n**2 wrt n?\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 353?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -43, -69, -89, -97, -87?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32482103 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0036 - -240.9964. Let g = 3072.25663 - 3313.2555. Let a = l + g. Round a to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) 0.52 (c) 38 (d) 0.3 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + w**4 + 0*w**4 + (-2*w**3 + 2*w**3 - w**3)*(-2*w + 76 - 36 - 58).\nAnswer: 3*w**4 + 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - 34. Suppose -2 = u - 2*d, u - 4*d + c = 43. Let q(b) = 5*b + 3 - 3 - 1 - b**2. Give q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8b93b8b + -7?\nAnswer: -8b93b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-87)*1*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275.1 <= 2\/1013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6283 divided by 103\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7140 + 7140. Solve -4*s + s = -a + 4, l = -2*s + 2*a - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 325.2.\nAnswer: 327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - n + 1086 = n, n + 822 = 3*a. Suppose 0 = -5*t - 4*d + 455, -2*t + 5*d = t - a. What is the greatest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**3 + 3*m**2 - m + 17. Let l(w) = -4*w**3 + 2*w**2 + 16. Determine 3*l(c) - 2*p(c).\nAnswer: -2*c**3 + 2*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) 413 (c) 4\/3 (d) -23 (e) 4 (f) -0.3 (g) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-454)\/454)\/((26\/30)\/(114\/95))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 4, 8, -5, 0.6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 2*f**2 + 1. Let s be v(-2). Suppose s = 2*i + 3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 0.57. What is the nearest to 0.1 in k, -5, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.43 times 19.9?\nAnswer: 48.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-8))*j)\/j**8)\/(j**3*j*j*j**(2\/13)*j) assuming j is positive.\nAnswer: j**(-67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*n - 3*i - 2*i, -3*n + 5 = -i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 2 (c) 20.5 (d) -437033\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.27 + 62. Let t = 0.23 - l. Let z be 2\/(-2) - (-14)\/18. Which is the closest to 0.1? (a) t (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169168619 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/126656 and -97\/45334932.\nAnswer: 725358912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f = -24*f - 38*f - 47*f + 1705 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*l**3*w**2 - 13*b*l**3*w - b*w**2 + b*w - 3*l**3*w**2 wrt w?\nAnswer: 6*b*l**3 - 2*b - 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/19 (b) -4 (c) 22651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/((-1)\/2). Let w be 6 - (h - -4 - 2). Suppose -2*z - 6 = -w*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 29168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 4*h = -5*p + 212, 4*h + 10*p + 106*p = 212 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -111. What are the prime factors of (-56)\/21*(m + 226\/(-4))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-3*(-1)\/18). Let x be ((-108)\/2)\/((0 - -3)*(-22)\/198). Calculate the greatest common divisor of b and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 6. Determine z(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -0.098\nAnswer: -5.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Let f be (1 + -2)\/((-1)\/10). Let d = f - r. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20728.51 weeks to days.\nAnswer: 145099.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 17 = 13. Suppose -9*v - 24 = -g*v. Suppose -14 - 13 = -4*c - h, 3*h = v*c - 15. Solve c*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9\/12) - 594\/(-165).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*v**3 + 23012*v**2 - 367392*v.\nAnswer: 2*v*(v + 344)*(35*v - 534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 1864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 397, 324, 185, -26, -315, -688?\n\"Answer: -m**3 - 27*m**2 + 15*m + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 350*v**3 - v**2 - v + 2. Suppose -2 = 2*d - 4. Let h be x(d). Let g = h - 49. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 35, 84, 173, 314, 519?\n\"Answer: 2*z**3 + 2*z**2 + z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1)*g*g)\/g*g)**34*(g*g*g**(1\/4))**(-32) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003151772941 to 6 dps.\nAnswer: 0.000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108526327345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 28. Determine j(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 978180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 113*l**2 - 232*l - 240. Calculate k(-115).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 - 17*k**3\/4.\nAnswer: -k**3*(k + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/69 + -5\/92. Let k = f + -271\/60. Calculate the common denominator of k and 113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5, -1.\nAnswer: -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57753 - 39584. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 15. Let y be ((-5)\/q)\/((-2)\/(-4)). Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 40 = -16. Suppose -3 = r*t - 29*t. Suppose -j = t*h - 79497, 2*j = 3*h - 43222 - 36284. What is h rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/16245945 and 22\/560205.\nAnswer: 16245945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 634 + -633. Let a = -7 + 19. Let d = -10 + a. What is the closest to d in t, -5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020 + 202212101?\nAnswer: 202222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + -7 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8807 is divided by 1467.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.5 + 10. Let f = c - 0.5. What is the nearest to 2\/5 in 0.3, f, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 206614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(-2340)\/260?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15844483 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = g - 6*g + 4*h, 84 = 4*g - 3*h. Suppose -g*m + 17*m = -54. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*-2*sqrt(133))\/(-1*sqrt(847)) + (3*2*(-2 + sqrt(1900)))**2).\nAnswer: -68544 + 15836*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let b(u) = 422*u - 1. Give b(l(y)).\nAnswer: -422*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -389975.06 to the nearest 100.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 3. Let k be l(3). Suppose -q - 5*h = -21 - 26, -5*q + 4*h = -380. What is the greatest common divisor of k and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-6\/11)*t*t)\/t**(-4) assuming t is positive.\nAnswer: t**(71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0, 146, 16\/3, 9, 4, -2?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 88\/3*y + 2\/3*y**2 + 86\/3 = 0.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -558 or -557?\nAnswer: -557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**7\/35 - 7*q**6\/30 + 2*q**4\/3 + 33*q**2\/2 + 23. Let r(j) be the second derivative of z(j). Factor r(n).\nAnswer: -4*n*(n + 1)*(n + 2)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -400, -5, 1\/2, -1\/2, 98?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83195 and 739247?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 14*s + 43. Let p be v(-10). Let b be (0\/(-2))\/(p + -4). Solve b = -4*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let r be k(-1). Suppose 0 = -r*j - 2 + 8. Which is the closest to -1\/2? (a) 0.3 (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 0, 8 in decreasing order.\nAnswer: 9, 8, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.3 - -13.3. What is the biggest value in 5, -5, 3, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2589288 divided by -4472.\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10084625 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 1 + 1)*(2 + 3 - 4) - 3*c + 5*c - 4*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 8*b + 14. Let y be k(8). Let u = -891 + 905. Calculate the greatest common factor of u and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0 + 0*u - 1\/30*u**7 - 27*u**2 + 0*u**6 - 1\/84*u**8 + 0*u**4 - 2\/15*u**5 - 1\/3*u**3. Find the third derivative of a(p) wrt p.\nAnswer: -240*p**2 - 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**3)**36\/(y**(-2\/25)*y**9))**(-6\/5))**(2\/31) assuming y is positive.\nAnswer: y**(-40524\/3875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94017 and 176.\nAnswer: 1504272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079244?\nAnswer: 2, 127, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253331, 252282, 251233, 250184?\nAnswer: 249135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z + 59*z - 39*z - 15*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 4)*(-3*n**2 - 4*n + 2*n - 282 + 290) as q*n**2 + j + m*n and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 96. Calculate a(-9).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 62 + 74 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*i + 2*i + 268 + 486 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/392?\nAnswer: 5\/392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179237\/21 - 8533. What is the common denominator of h and -7\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 23 = 1. Sort -4, x, -2\/11 in descending order.\nAnswer: x, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21 - -1)*2\/(-4). Let o be 152\/20 - 3*1\/5. Suppose z = 5*x - 38, 7 = x + 3*z - o. Are x and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-221)\/(-85))*2 + (-53)\/(-60).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106747 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5124, -3, 285.\nAnswer: -5124, -3, 285","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 6 (c) 0.2 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -42*w**2 - 2*w + 19. Let b(p) = -42*p**2 - 4*p + 18. Let o(v) = -3*b(v) + 2*z(v). What is the hundreds digit of o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2148 and 1368?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 10*y = 4. Let k be (y\/1)\/((-26)\/1833). Suppose k = 6*p - 129. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 125799064.\nAnswer: 25159812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/10 - (-4)\/(-10). Let w(f) = f**2 + 29*f + 25. Let r be w(-28). Sort m, r, -6 in descending order.\nAnswer: m, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1149*u**2 - 1150*u**2 + 2300*u**2 - 2 - 10 + 5*u. What is q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 900?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.8 - -3.8. Sort -0.5, 15\/2, w in decreasing order.\nAnswer: 15\/2, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4502 - -8828. Calculate the highest common divisor of 70 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 6*k - 17. Calculate the remainder when 50 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 0*n)*(n + 0*n - 2*n) + 20*n**2 + n**2 + 6 - 18*n**2.\nAnswer: 2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -134ab (base 14) in base 11?\nAnswer: -32828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1642 or -1656?\nAnswer: -1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:06 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -36*x**3 + x**2 - 5*x + 12. Let r be w(4). Let m = -32117\/14 - r. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-8)*n)*n**(6\/11))**(1\/42))**(-9) assuming n is positive.\nAnswer: n**(-141\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t + 18. Suppose 4*s - 1 = -17. What is the smallest common multiple of c(s) and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -43. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.0543.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 334104.\nAnswer: 4009248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i + 66. Let f = 120 - i. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2168 - -5?\nAnswer: -2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8153.8783 rounded to the nearest ten?\nAnswer: 8150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 106632070146 and 673.7.\nAnswer: 106632070819.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1124, -2227, -3330, -4433, -5536?\nAnswer: -6639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 432409*l**3 - 547685*l**2 wrt l.\nAnswer: 2594454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u + 2*u. Let c(p) = p**2 - 6*p + 6. Let d(x) = -2*x**2 + 13*x - 13. Calculate u*d(g) + 13*c(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10020326509 plus -0.2?\nAnswer: 10020326508.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22200443 (base 5) to base 7.\nAnswer: -1435141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k. Let o(q) = 592*q**2. Determine o(f(b)).\nAnswer: 29008*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1499*b + 13370 = 544*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3108 and 17\/2688.\nAnswer: 99456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(sqrt(175)*-1*6 - (-1*-3*sqrt(175) + sqrt(175))) + 2)**2.\nAnswer: -800*sqrt(7) + 280003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 34*l - l**4 - 4*l**2 - 34*l + (-4*l - 2*l + 5*l)*(0*l + 0*l + l**3) + 0*l**4 + 4*l**4 - l**4.\nAnswer: l**4 - 4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 13*q**2 + 12*q + 2. Suppose -g - 12 + 0 = 0. Let p be o(g). Calculate the highest common factor of 8 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4927231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 270 - 4888.\nAnswer: -4618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*h**3 - 98*h - 61*h + 2 - 655*h**3 - 185*h**3 wrt h?\nAnswer: -3648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.2 + 63. Let d be 1 + ((-5)\/(-3) - 3). What is the closest to d in q, 0, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1*sqrt(55)\/sqrt(5))*-3.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -23 - (0 - (-665)\/(-217) - 4).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-68) + 880\/704.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 15*n**2 + 15*n - 13. Let w be y(14). Let d(m) be the second derivative of -m**5\/2 + m**4\/6 - m**3\/6 - 3*m. Determine d(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16125 less than 16125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2775, 24, -5 in increasing order.\nAnswer: -5, -4, -3, 24, 2775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 1 - 6*a + 3*a + 5*a**2 - a**3. Suppose -4*i + 6*i + 4*r = -4, 5*r + 4 = -3*i. What is m(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/18 - 36\/27)*1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 9, -2\/9, -11, -0.4, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1485 and 33.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33\/(-9))\/11)\/(((-105)\/270)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -50. What is the nearest to -1 in 0.4, -2\/9, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8122305 millilitres to litres.\nAnswer: 0.0008122305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (24\/(-276) - 2006\/(-322)). What is a in 3\/7*a - 2\/7 - x*a**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) -1\/3 (c) 1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 285030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 - b**3 + 4*b**3 + (b + 0*b - 2*b)*(3*b**2 - 7*b**2 - 31*b**2) as r*b**2 + p + q*b + a*b**3 and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(-13)\/(-4)*(-13)\/65. Let k = 43\/6 + o. Solve -k*q + 2\/3*q**3 - 4\/3*q**2 + 4\/3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 165*t**2 - 165*t**2 + t**4 + (-4*t + 4*t - 2*t)*(-2*t**3 + 2 - 2) - 2*t**2 + 2*t**2 + 2*t**4.\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(6*(2\/(-8)*128\/(-96))\/(-7)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -43.393, -1\/8, 0.3, 1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15638239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1\/((1 - 2)\/(-9)). Let q(t) = t**2 - 12*t + 9. Let w(n) = 0*n + 10 - n + n**2 - 12*n. Let s(m) = j*q(m) - 5*w(m). Give s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 3*z + 3*z - 2*z. Let w(s) = 4*s. Let l be (6\/(-3))\/(-1) - 3. Give l*w(t) - 3*n(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.19 and 73.\nAnswer: 72.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 8. What is the lowest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1183321644.8 to the nearest ten thousand.\nAnswer: -1183320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**4\/6 - d + 1. Let q(h) be the second derivative of -h**4\/12 + h. Give q(v(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*m**4 + 16*m + 478 wrt m.\nAnswer: -56*m**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 0.044.\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11962 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**3 + 45*d**2 + d - 72. Calculate the remainder when 98 is divided by n(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.6 times -19598?\nAnswer: -1364020.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Suppose 0*y - y + 8 = u. What is the smallest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*v = 107*v. What is the remainder when (v - -1)\/((-8)\/(-456)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0.6. Let o = 2.4 + j. Put o, 0, 0.2 in decreasing order.\nAnswer: o, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.795724 to 1 dp.\nAnswer: -67.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 5, l: 7}. What is prob of sequence jj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -26.6. Which is the closest to -1? (a) -3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13734400.\nAnswer: 2, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1646260438 + -5828942344. Let a = -7475202371.9999817 - o. Let z = a + -410. What is z rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 513 + -114. Let l = 398.699 - d. Let w = 0.069 + l. Round w to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*t - 32 + 91 = 0, 5*c - 125 = 5*t. Let l(x) = x**3 + 5*x**2 + x - 8. Let g be l(-5). Let n = c + g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, 2, 5, -4 in descending order.\nAnswer: 14, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17040007 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -6*j + j. Suppose -2*l - l = -j. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2470440178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-98)\/21)\/7*-138. Suppose b - 6 = -0*b. Suppose 5*c + 230 = b*c. What is the greatest common factor of v and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 92 + -102?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -13*a**4\/12 - 5*a**3\/6 - 746*a**2 + 15*a + 142. Differentiate x(j) wrt j.\nAnswer: -26*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 984293602*w**2 - 171915*w - 859575. Let x(d) = 11451*d**2 - 2*d - 10. Give 171915*x(o) - 2*y(o).\nAnswer: 11461*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -162*k + 163*k - 6615, 2*k + a - 13245 = 0. Calculate the greatest common factor of k and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154948212?\nAnswer: 2, 3, 967, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p + 27. Let i be (-10)\/(-4)*-2 + 8 + -7. Let u be 2 + (-9)\/(p\/i). Which is the second biggest value? (a) 1 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22159535?\nAnswer: 5, 251, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**6\/360 - 3*h**5\/20 + h**4\/12 + 190*h**3\/3 + 42. Let m(q) be the third derivative of t(q). Calculate m(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y + 0*y - 3*y + (3 - 3 + 1)*(-5*y + 1 - 1).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288568 - 61132. Round x to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by -6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*f**3 + 27*f - 10*f - 8*f - 9*f.\nAnswer: 232*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4464 is divided by 5*1\/(-2)*(-6862)\/365.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.1652 millilitres to litres.\nAnswer: 0.0181652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4 + 7 + -9 + 5). Solve g - p = 0, -5*b + 3*b + 9 = -g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 6) to base 15.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -20*l**3 - l**2 + 8. Let v(f) = -21*f**3 - f**2 + 7. Let y(h) = -6*o(h) + 7*v(h). Let t be y(-1). Let a = 238 - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -6. What is the nearest to -2\/13 in -3, z, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z + 2. Let t be p(2). Let a be (-30)\/t*1\/(10\/8). Let v be a + ((-204)\/(-3))\/4. Solve -v = -5*n, -3*c + c = -5*n + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14648?\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -7. Let q(i) = i**3 + 7*i**2 + 4*i. Let b be q(d). What is the highest common factor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 326202*l**3 + 9135224*l**2.\nAnswer: -2*l**2*(l - 28)*(l + 163129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333814 + -3123814. What is l rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbje when four letters picked without replacement from {o: 1, j: 4, b: 6, e: 3, n: 2}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 19*r**2 + 23*r + 94. What is a(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:08 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 2*c - 5. Let v be i(-4). Suppose 2*d + 17 = 3*p, -p = v*p + 4*d - 16. Solve 0*t - 15 = p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 249 - 249 - 21*i**2.\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 48, 206, 520, 1044?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.3 + 42. Let k = d + 4.3. Let g be 45\/((-15)\/3) + -1. What is the closest to k in -1\/7, -3, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + t + 16, -553528*s + 4*t = -553523*s - 169 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/11))\/(h\/(h\/(h**(2\/9)*h))))**18)**(-25) assuming h is positive.\nAnswer: h**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 6. Let s be r(-9). Which is bigger: s or -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 15 = 15. Sort 5, -1, r, -2 in descending order.\nAnswer: 5, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-6)\/15)*90\/(-2025). Let d = -73 - -364\/5. What is the closest to -0.1 in d, k, 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 57365715*l**2 + 164541291555915*l - 164541234190205.\nAnswer: 5*(l - 5736571)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.699402 milligrams?\nAnswer: 0.000000000699402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9514 = 5*v, 2*m - 7*m = -4*v - 11888. Suppose 4*j + 5*j = m. Calculate the highest common factor of j and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1547662*a*b**3 + 422591*b**3 wrt a?\nAnswer: 1547662*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -36*r**2 + 392*r + 44 = 0.\nAnswer: -1\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2. Let k(l) = 5*l**2. What is k(u(o))?\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 103*j\/4 - 26.\nAnswer: (j - 104)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**4\/8 + r**2. Suppose -2*q + 5*d = -13, 2*q - d - 7 = -6. Determine x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:58 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17651342 (base 9) to base 2.\nAnswer: 100001111010101100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 20*y**2 + 1418*y + 42. Determine d(29).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 - 3*w + 6. Suppose 0 = -i - 2*i - 4*x + 20, -i = -x - 9. Let l be 47\/(-4) - 2\/8. Let a be 20\/6 - i\/l. Determine s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16845*q**2 + 32 - 16875*q**2 + 19)*(-2*q**2 + 2*q + q**2 + 6*q**2) as f + t*q**4 + h*q**3 + z*q**2 + k*q and give k.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/2184 and -53\/416.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 42302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**2 + 1\/42*w**7 + 1\/12*w**4 + 0 - 13*w + 0*w**6 + 0*w**3 + 0*w**5. What is the third derivative of n(z) wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*y + 2*y - 172, 2*b - y = 111. Calculate the highest common factor of b and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -26*g + 58. Give f(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z. Let j(q) = 3*q. What is 3*j(x) - 4*r(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u. Let w(k) = -14*k + 7. Let o = -47 - -32. Let n(y) = o*f(y) + 3*w(y). Differentiate n(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, -7, 1230, 1, 46, -2 in increasing order.\nAnswer: -7, -5, -2, 1, 23, 46, 1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-173842)\/(-20) + 15\/30 + 63\/(-105)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.766 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000017744 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**7\/147 - 2*j**6\/35 - 4*j**5\/35 + j**4\/7 + 3*j**3\/7 - 53*j. Solve n(y) = 0 for y.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49360620 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161046310 is divided by 8950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468792 and 243882.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 13*g + 2*g + 0*g - 39 = 0, -n + 6*g + 38 = 25 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -141*f - 297. What is s(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {b: 1, u: 2, v: 1, p: 1, n: 2, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30494323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q**2 + 3*q**2 - 18*q**2)*(-15*q + 4 - 4)*(-2*q - q + 2*q) as t*q + l*q**4 + b + d*q**3 + s*q**2 and give l.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 161?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 503, 746, 969, 1166, 1331?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1811.1 - -1811. What is the closest to 1 in -5, w, 93, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3128, -4842, -6556?\nAnswer: -8270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 less than or equal to -4736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*z + 1 + 0 - 1 as u*z + i and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:23 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 49*w + 8. Suppose w = 10*v - 38 - 142. What is the highest common divisor of v and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 3:22 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -537?\nAnswer: -13\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/(-336) - (-1 + (-3 - 156\/(-16))). Suppose 3*h + 2 = h. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -30444?\nAnswer: -30445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 5. Let j(x) = 286*x**3 + 2*x**2 + 342*x - 22. Let l(y) = -5*a(y) + j(y). Find the second derivative of l(u) wrt u.\nAnswer: 1716*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*3\/1*4\/36.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/(1 - -1)*(-22)\/55. Suppose -39 = -18*l + 15*l. What is the least common multiple of (p\/(-6))\/((-3)\/(-9)) and l?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3*(22 + -19). Suppose 6 = -2*g - 5*h, 0 = 2*g - 3*h + 10 - l. Let y(n) = -2*n - 11. Let r(s) = -s. Let q(c) = g*r(c) + y(c). Calculate q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.03\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 8*z**2 + z - 3. Let r be i(8). Suppose r*p + 1158608 = -116392. What is p rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10109200 divided by 39800.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (2 + -2*sqrt(19)))*-4*-1*4)**2.\nAnswer: -3072*sqrt(19) + 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:12 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 greater than -2\/205879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - d - 4*d + (-4 + 6 - 4)*(4*d + 2*d - 5*d) + 1003*d + 588*d - 166*d + (0 - 3 + 1)*(d - 1 + 1).\nAnswer: 1420*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-128)\/(-6))\/((-12)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40*(-11)\/352*4\/(-20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 4*j + 12. Let n be d(-4). Is 158 - n\/(-20)*-5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 10, l: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4562467, -9125020, -13687573, -18250126, -22812679, -27375232?\nAnswer: -31937785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56818, -113607, -170396, -227185, -283974, -340763?\nAnswer: -397552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1\/2)*t)\/(t*t**3))**(2\/3) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-8)\/c)\/c)\/c)\/((c\/(c*c\/c**(6\/13)))\/c)*(c\/c**(-8\/9))\/c**(8\/3) assuming c is positive.\nAnswer: c**(-1198\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 35 = -0*s - 2*k, 10 = 5*k. What is the greatest common divisor of 248 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v - 0*v + 4*l, 4*v + 4*l - 24 = 0. Let k be (-2)\/(-4)*(v + (-2 - -2)). Solve 2*q - 3*a + 3 = 2*a, 2*a + 1 = k*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 419 - 23. What is the third biggest value in 2\/5, 2\/17, i?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 10*v - 18 = -2*o, -8*o + 3*v = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 1537*f - 1595*f. Solve 6*q - 26 = 2*j, 5*j + 3*q = 10*j + f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 302.2 in -1\/4, 1, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(3*4\/(-96))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 73368*h + 73368*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 18, l: 1}. What is prob of picking 1 l and 1 j?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 7. Let x be a(6). Let m = -15 - x. Is (-3 - 0) + m + 134 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let k be (6\/(-9))\/(8\/(-156)). Solve i + 5*b + m = 0, 0 = 2*i - 4*b - k + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t + 4*t)*(-9 + 11 - 35)*(2 - 4 + 0).\nAnswer: 264*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 8*k - 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 187*f - 21. Let v be m(1). Suppose -171 = -v*o + 157*o. Is o bigger than 81\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 a factor of 138385357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176046081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) 2065807 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44306 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 177, -116, -683, -1614?\nAnswer: -2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*z**4 + 6*a**3*z**2 - 30*a**2*z**2 + 5*a*z - 248*z**4 wrt z?\nAnswer: -48*a**3*z - 5952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 6. Let n be k(-5). Let d be -5*2\/n*-1. Suppose 2*f + 4*w = -10, 4*f + d = 3*w + 45. Solve 3*q = t + q - 12, -5*t + f*q = -35 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v + 2*v + 2*v)*(v + 0*v - 2*v) - 8*v + 8*v + 5*v**2)*(-1 + 1 - v**2).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-60))\/((-2)\/24). Is y + 1 - (-2556)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/3, -262, 0.1, 373?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -17001308 and -17001308 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 77 + 5 + -22.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a. Let w(f) = -2582*f - 3. Calculate -3*q(l) - w(l).\nAnswer: 2630*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 7*w**2 - 7*w**2 + 0*w**2. Let d(q) = -66*q**2 - 77. Let t(i) = -5*i**2 - 6. Let k(j) = 6*d(j) - 77*t(j). Give k(x(f)).\nAnswer: -44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/12)*a*a*a**(-1\/2))\/(a*a**(-2))**(2\/9) assuming a is positive.\nAnswer: a**(65\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 45 = 10*u - 16*u - 3, -11 = -w - 3*u for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 76*d = 27*d + 22*d - 8, -4*y + 16 = -2*d for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1278 minus 217.592291?\nAnswer: -217.720091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 56, 78, 92, 98, 96, 86?\n\"Answer: -4*k**2 + 42*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 - 45 + 3*w**3 - 13*w**2 + 6*w - 4*w**3 - 3*w. Let i be h(-19). Let t be i\/(-21) - 5\/(-35). Solve 27 = 4*s - t*c - 2, 2*s + 3*c = -13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001111101001 + 1001010101111?\nAnswer: -10110000100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38430659 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 d = -2691 - -12455. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-7)\/(504\/9))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/8)*f**(1\/7))\/(f**(1\/15)\/((f*f**(-3)*f)\/f*f)) assuming f is positive.\nAnswer: f**(379\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 20*q**2 - 295*q - 2110. What is a(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:59 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7654.215m to kilometers.\nAnswer: 7.654215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -1\/192123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 157 = q + 2*k, -5*q - 5*k + 590 = 0. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.5 (b) -0.079 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0 + 0)*(-5*d + 3*d + 0*d) + 6*d**2 + 144*d - 144*d + (0*d + 0*d - d)*(23*d - 5*d + 36*d).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(11\/((-165)\/(-10))*21\/(-238))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/65*(-25)\/(-90). What is the nearest to -4\/7 in j, 1.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -86 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*k + 2*k. Let n be (k\/(-5))\/(3\/(-15)). Let y(q) = q + 11. Determine y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:29 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21275 + 85214. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015502147 to five dps.\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656900206 to the nearest integer?\nAnswer: 25630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggf when three letters picked without replacement from {g: 2, f: 2, a: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984, -1042, -1100?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411753 is divided by 58453?\nAnswer: 2582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202775*p**2 + 13431*p + 15.\nAnswer: 405550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219180647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by (-3399)\/(-55) - (-6)\/5?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1092 by 42.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -2*x**4 + 5\/2*x**3 - 3\/2*x**2 + 0 + 3\/5*x**5 + 4*x. Factor p(z).\nAnswer: 3*(z - 1)*(2*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8151611, 16303222, 24454833?\n\"Answer: 8151611*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17043 (base 11) to base 8\nAnswer: 56705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 0, 537 = 3*x - 5*s + 2*s. Suppose 3*b = -3*v + 138, v + 0*v + x = 4*b. Let n = -41 + b. What is the remainder when 15 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l + 85*l**3 - 7*l**3 - 8*l. Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0347 + 0.0147. What is the third smallest value in n, -0.1, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352604.\nAnswer: 2, 588151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435549043?\nAnswer: 1031, 422453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(-891)\/(-27). Let w(h) = -h**2 + 4. Let q be w(0). Suppose -q*a - p = -3*m + 6*m, 4*a = -m - 17. Put 2, m, 5 in decreasing order.\nAnswer: 5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (10 - (2 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*m + 6*m = -2, -3*m = v + 2. Let j = -1 + v. Put 5, 3\/4, j in descending order.\nAnswer: 5, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141517 + 141519 - 39*b + 0*b - 283036.\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.03 - -0.03. Let t = -30 - 0. Let d = t + 28. Sort a, -7, d.\nAnswer: -7, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (80\/(-20))\/((-1)\/8). Let s = -21 + j. Suppose -4*i + 3*i + s = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/120 + p**5\/60 + p**3\/6 + 3*p**2. Let s be a(0). Let y be (-2 + 3 + 2)\/s. Solve 2*r = 3 + y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 368?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -871, -1081, -1291, -1501, -1711?\n\"Answer: -210*z - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3297897 < -3297892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 11172 = -5*d, -6*d + 10*d - 11217 = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29056 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 30.75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6907059 or 6907060?\nAnswer: 6907059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 385*j - 21961. What is v(57)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137030 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 7*h + 30. Let s be z(11). Are -2 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19851562?\nAnswer: 2, 9925781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 3*m - 4*m. Is m\/((2 - -1) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Suppose -8 = 73*o - 81*o. Let u(n) = -10 + 7 + o + 2 - 134*n. Calculate z(u(q)).\nAnswer: -134*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29787*t**4 + 32900*t wrt t?\nAnswer: -357444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 150. Which is the closest to k? (a) 7 (b) -5 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 8*t**2 - 5*t - 10. Let u be i(7). Let b = -7 + u. What is the third biggest value in b, 0.1, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and -49.736564?\nAnswer: 67.736564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 348 - -86. What are the prime factors of j?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -59*x**6\/24 + 102*x**3 + 172*x**2 + 2. Find the first derivative of o(i) wrt i.\nAnswer: -885*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/4))**(2\/5)*((a\/a**(-1\/4)*a)\/a*a)**(-1\/2) assuming a is positive.\nAnswer: a**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3759715027 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1680764711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -388.517 to the nearest integer.\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 185\/111*(3 - (-72)\/10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let z be s(4). Let i(t) = 0*t**2 + 3 - 2*t + z*t + t**2. List the prime factors of i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 1:29 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7111 and 3666.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 670, -5 in ascending order.\nAnswer: -5, -4, 1, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11236701 != -33710107\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4db2cf (base 16) to base 2\nAnswer: 10011011011001011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-25) - (-29 - (-133)\/(-5))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30878 = -356*b + 4599970. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72389 - 32980. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**3\/3 - 3*g**2\/2 + 2*g. What are the prime factors of y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 2306340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -819 (c) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let c(w) = -w**3 - 2*w**2 + 3*w + 3. Let k be c(s). Solve l + 12 = -k*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70.8 + -53. Let r = 18 - m. Which is the nearest to 0.1? (a) 3\/5 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(sqrt(11) - sqrt(66)\/sqrt(6)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwowwwwo. Give prob of picking 3 w.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 3a?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h + 6*h + 77*h + 106*h in the form m*h + q and give m.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 76 = -5*s + 2*x, 3*s + 50 = -4*x. Let m = -17 - s. Let t(r) = -24*r. Let h(o) = -o. Give m*t(u) - 20*h(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 - -0.65. Let j = -265\/66 + 103\/22. Let n be 2\/(-56) - (-1)\/(-4). Sort 0, z, j, n in descending order.\nAnswer: j, z, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:30 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 985 + -1498?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:17 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*-1*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z - 46 + 46 + z**2 - 26*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*l - 10 = -4*s, -4*l - 50 = -5*s. What is the remainder when 23 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*g**5 + 3*g**3 + 6*g + 28?\nAnswer: -1380*g**3 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -329.276?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 6*b + 4. Let x be j(-6). Let u(t) = 4*t - 3. Let w be 6\/(-21) + 19\/(-7). Let i(v) = 1 + 2 - 6 + 5*v - 1. What is w*i(y) + x*u(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1096902 = -40*f. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -30106839.\nAnswer: 1\/30106839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -47.5, -5, 0, -1, -4\/237?\nAnswer: -47.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-4125)*170\/204?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/4*(0 - -2). Suppose 4*n - 115208 = -4*y, 4*n - k = -5. Round y to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 223 + 2290. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 605, 42424, 112123, 209702, 335161, 488500?\n\"Answer: 13940*o**2 - o - 13334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 + 1.141\nAnswer: -0.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 467 + -8871\/19. What is the closest to -1\/2 in w, -0.02, 5\/6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 8 = 2*l + 3*z - 10 + 28, 12 = -3*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 121958, -11, 0 in increasing order.\nAnswer: -11, 0, 3, 4, 121958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 781a?\nAnswer: -7820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + 3.96. Let s = w + -8. Let k = -3 + 3.2. Which is the second smallest value? (a) s (b) 3\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 530614 and 1359?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**6 + 0*y**5 + 0 - 1\/3*y**4 + 0*y**2 + 4*y + 0*y**3 - 1\/7*y**7. Find the third derivative of c(r) wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 8.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-30) - 1215\/(-729)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91, -96, -89, -64, -15, 64, 179?\n\"Answer: r**3 - 12*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -16 - 35 - (-3 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13404658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12222, -85310, -283690, -670008, -1306910, -2257042, -3583050, -5347580?\n\"Answer: -10441*c**3 - c - 1780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 13*o**2 + 16*o + 10. Calculate the remainder when c(13) is divided by 203.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*m - 2248, -201 = -2*i - 2*m + 1299. Calculate the remainder when i is divided by 181.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2 + 198*b + 498. Determine y(31).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 9*j - 3. Let p be k(7). Suppose 4*f + 12 = p. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52906 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/21882 and -77\/7314840.\nAnswer: 51203880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-97.\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047371 plus 7?\nAnswer: -1047364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15754476*p**2 + 17618*p + 116?\nAnswer: -31508952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 11, -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -20*n**2 - 5*n - 15. Let z(v) = 7*v**2 + 2*v + 5. Let k(s) = 6*b(s) + 17*z(s). What is k(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -4 + 1 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/301 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187*o**4 - 2*o**3 + 18*o**2 - 87*o - 3 wrt o?\nAnswer: -2244*o**2 - 12*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 59\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) -2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 9.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 1\/(1\/(8 + 3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 88. Suppose -s + m*r = 4, 5*s + 17*r + 20 = 20*r. Put s, 2, -54 in increasing order.\nAnswer: -54, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116*30.6627\nAnswer: 3556.8732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u - 195 - 69*u + 195.\nAnswer: -41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 292, -10, -25, 3 in increasing order.\nAnswer: -25, -10, 1, 3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 15*s + 2. Let d be k(10). Let p be (d\/20)\/((-2)\/5). What is the units digit of (p\/2)\/((-9)\/(-93))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18899?\nAnswer: 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -422114 - 1?\nAnswer: -422115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 u, and 1 j when four letters picked without replacement from {j: 2, u: 7, o: 11}?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 greater than or equal to 834.81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 5*m**2 + 2*m + 3. Let i be b(4). Let o = 10 + i. Put 0.3, o, -0.2 in increasing order.\nAnswer: -0.2, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -23\/3826902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 468955134?\nAnswer: 1406865402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5cd0 (base 14) to base 9.\nAnswer: 24260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11088\/3564*6\/(-4))\/((-1)\/(-9))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*r*u*v**2 - 20*r*v**3 - 2*u**3*v**3 - u*v**3 + 3*v**3 + 2*v wrt u.\nAnswer: 54*r*v**2 - 6*u**2*v**3 - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 24. Let m = 41 - 38. Let n be 143\/11 - -1*m. Calculate the greatest common divisor of n and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108.8315 * -0.002\nAnswer: -0.217663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y**2 + 2. Let i be h(0). Suppose -i*m = -0*m + 4. Which is the biggest value? (a) 4 (b) m (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-76 - 3) - (-1857 - -1843).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53057497 to the power of 1\/2, to the nearest integer?\nAnswer: 7284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -4429888.\nAnswer: -4429888, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n + 35. Let u(q) = 7*q + 17. Let m(p) = -2*g(p) + 5*u(p). Let v be m(-4). Sort v, 1, -3, -1.\nAnswer: v, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*w = -768 + 64 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 5. Let f = 7 + o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/((-3)\/4). Suppose -4*x = -f*b + 52, -14 = -b - 4*x + 3*x. Let v = b + -16. Solve 0 = v*w - 6*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -663.98271 - 1017.\nAnswer: -1680.98271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -0.0645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/1*(-1)\/3. Let q = b + 9. Find the third derivative of 59*v**5 + 0*v**q + 0*v**4 - 64*v**5 + 2*v**2 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(95)*-4)\/(sqrt(25)\/(sqrt(20)\/sqrt(4))))**2 + 0 + (-1 + -1 + sqrt(2299) + sqrt(2299))**2*-3*1)*-1.\nAnswer: -264*sqrt(19) + 26384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -81. Suppose -2*f = -2*k - 0*f + 206, -5*f = 2*k - 241. Calculate the highest common factor of a and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/17 + 625826*j\/17 - 12517320\/17 = 0.\nAnswer: -312933, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y + 36*y**3 - 406*y**3 + 9 + 43*y.\nAnswer: -370*y**3 + y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59955558011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.021 - -3.679. Let a = l - 3.695. Round a to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/(-65) + -8 + 3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -51*u**3 + 2*u**2 + 2*u. Let i be c(-1). Calculate the highest common divisor of 867 and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 0 - 5*c**3 + c + 1 - c**4 + 1 to the form a*c**2 + z*c**4 + o*c + u*c**3 + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3719511\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 1482\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 289*h - 1672. Calculate l(90).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 37*s + 323. Let i be t(24). Which is the smallest value? (a) i (b) -2\/17 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -23300?\nAnswer: -23305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -411, -4, 5.\nAnswer: -411, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -871, -880, -889, -898, -907, -916?\n\"Answer: -9*s - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2630 + -2620. Let v(l) = -l**2 + 7*l + 11. Let d be v(8). Let z be -3*(0 + (-40)\/d). What is the highest common factor of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -11*u**5\/60 + u**4\/6 + 62*u**3\/3 + 87*u**2. Differentiate z(c) with respect to c.\nAnswer: -22*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13485 divided by 155?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -9. Let b be 2\/j + (-7)\/(-3). Factor 5*c + 4*c - 3*c**4 + 3*c**b - 6*c**3 - 2*c - c.\nAnswer: -3*c*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-14))\/((-24)\/64)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 - (18 + 31 - 21) - 16.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/36*(-6)\/1. Suppose 0 = -r*p - 5*f - 10, p + 3*f = 1 - 9. Let m be (9\/(-51))\/((-9)\/(-6)). What is the biggest value in p, -1, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/6)\/(1300\/130)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 72, d + 159 - 149 = 2*m. Let g = 4 - 1. Sort g, m, 1, -8 in ascending order.\nAnswer: -8, m, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 337259 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 162\/(-21) - (220\/35 - 6). Let r be (-81)\/(-12) + 2 + 6\/i. What is the greatest common factor of r and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, 8, -0.1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10470 (base 8) to base 16.\nAnswer: -1138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309533 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 82, -155, -334, -437, -446?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 287863 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsqqxqsjjsxjsjs. What is prob of picking 2 q and 2 x?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 21*d - 21*d + 2*d**2. Let p(g) = -52*g. Determine p(r(v)).\nAnswer: -104*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1126.\nAnswer: 1\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464, -947, -1444, -1961, -2504?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 24*l - 18876 = 0. Suppose -2*x + 5*w = x - l, 3*w - 1115 = -4*x. List the prime factors of x.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 862, 1389, 1916?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -347? (a) 0.01 (b) 5 (c) 3 (d) -5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -305 - 1333. Is z a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 14, -7, -414 in decreasing order.\nAnswer: 14, 3, -1, -7, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 493 + -489.03. Let u = 4 - t. Let x = u + -0.016. Round x to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 less than 0.06226456641?\nAnswer: 0.34226456641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 16*o - 9*o. Let p(f) = 2*f**2 + 2*f - 3. What is the remainder when p(o) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292\/1243 - -6\/113. Suppose -4*a + 0*q = -5*q - 11, -7 = -2*a + 3*q. Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millennium in decades?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 37 = -8*h + 11*h, 13 = 4*o - h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5129, 5 in decreasing order.\nAnswer: 5, 4, -5129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/11)\/((6240\/80)\/78).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 15*j - 12. Let z = -3 - -7. Let f be 9\/(-6) - j\/z. Let l(u) = u**3 + 2*u**2 - 2*u + 1. Calculate l(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*c**2 - 750*c + 750*c)*(0*c + c + 3*c).\nAnswer: 372*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 3*l**4\/4 + 68*l**3 + 1920*l**2 + 12288*l - 1149. Factor u(a).\nAnswer: 3*(a + 4)*(a + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7492, -29950, -67390, -119818, -187240, -269662?\nAnswer: -367090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 1 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 33*t**2 - t + 28. Let c(u) = -u**3 - u**2 - 4*u + 6. Let z be c(0). What is the tens digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 3*s**3 + 4*s**3 + s**2 + s**3 + s**2 - 4*s**2 - s - s**3 + s + (3*s**3 - s**3 - s**3)*(-1 - 1 + 1).\nAnswer: s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11176311 to the nearest integer?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*1\/(-6)*(-3 - 3). Suppose -v*n = 4*g - 101, 3*n + 21 = g - 0*n. Factor 5*m**2 - 11*m + 3*m**2 + 4*m**3 - 9*m - g.\nAnswer: 4*(m - 2)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -465 (b) -1\/6 (c) 0.3 (d) 0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 14. Let r = -127\/86 + -1\/43. Which is the nearest to 0.1? (a) m (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/18)*h**(6\/7)*(h\/(h**(-1\/10)*h*h))\/h**(-4) assuming h is positive.\nAnswer: h**(1229\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t**3 - 2*t - 1. Let l be g(-1). Let a = -5 + l. Suppose 0*r = a*r - 60. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4537955.51 + 23?\nAnswer: -4537932.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27841 - -3?\nAnswer: 27844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70, -76, -84, -94, -106, -120, -136?\n\"Answer: -w**2 - 3*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 18 (c) -2 (d) 0.58 (e) -2\/5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 26*c**2 - 25*c + 5. Let w be t(25). What is the second derivative of 47*v**5 - 14*v**5 - w*v**2 + 10*v + 5*v**2 wrt v?\nAnswer: 660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {q: 19, l: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*a + 446 = 636*a + 22. Let f(c) be the third derivative of c**4\/12 - 3*c**3\/2 - c**2. Calculate f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from {x: 1, w: 3, t: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-8)\/2 - 1*25). Suppose -4*q - 3*o = q - 26, -5*o - c = -2*q. Solve 2*j - 25 = q*j - k, -3*j + k = 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -9 (c) -5\/21 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-32 - (-16 + -9 - -9 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c**(-6\/11)*c*c)))\/c)\/(c\/(c\/(c**19*c)))*c**(-22)*c*c**(-26)\/c assuming c is positive.\nAnswer: c**(-732\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/24 + p**3\/3 + 7*p**2\/2 + 2. Let v(k) be the second derivative of x(k). Let s(u) = 1. Determine -4*s(f) + v(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(38)\/sqrt(1800) + -5)*1.\nAnswer: -2 + sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 525 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 10*l + 60. Let m = 146 + -154. Let i be h(m). What is i rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88200 and 96138.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1194 divide 11060022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46\/609 + -155801\/6699. Is -22 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.71 - -16. Let y = h - 1.29000123. What is y rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 154121290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 404379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/(-6))\/(-4))\/(65\/(-26))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.045 and 53159.\nAnswer: 215028.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 76. Let x = 47 + j. Suppose 17 = x*u - 21. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3*s**2 - s**2 + (-5*s + 5*s - 2*s)*(2*s + 4 - 4) - 226*s - 36*s**2 + 226*s + 176*s**2 - 305*s**2 + 178*s**2)*(-4 + 1 + 1).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c, -4*s + 2*c - 78 = 4*c. Let a be (-22)\/14 - s\/(-49). Let q be (6 + -7)\/(a\/14). Calculate the greatest common divisor of q and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414131124 (base 5) in base 15?\nAnswer: 23b25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyugdg. What is prob of picking 2 g and 1 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654 = -10*g + 864 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204822 and 43?\nAnswer: 8807346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 48 + 5*a - 87 - 13*a**3 + 48. Let d(w) = -3*w**3 + w + 2. Give 9*d(q) - 2*v(q).\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1050\/(-60)*(-2208)\/(-1380)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 229*q + 4481. Calculate h(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) 0.01 (b) 4\/5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64412701*g**2 - 99823456?\nAnswer: -128825402*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97470 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -627, -1255, -1883, -2511, -3139?\n\"Answer: -628*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 145*f - 92. Let n(b) = -144*b + 92. Let c(s) = -3*m(s) - 2*n(s). What is the first derivative of c(z) wrt z?\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose 0 = 2*a - 18*g + 17*g - 1, 3*a + 3*g - 24 = 0. Suppose -i - v = -45 - 47, -276 = -a*i + s*v. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 7. Let i(k) = -3*k - 26. Let s be i(-4). Let h = 14 + s. Suppose -3*a - 10 = -1, h = -2*d - 2*a. Calculate c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/45*(-25)\/(-2). Let t = v - 7. Suppose 0 = -t*z + 236 - 41. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210030 (base 4) in base 8?\nAnswer: 24414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1195 - -2046. Is 46 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387377.\nAnswer: 23, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.47207582 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16300061*s**3 - 72*s**2 - 68298?\nAnswer: -97800366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 769 + -768.95. Sort -4, 0.35, d in ascending order.\nAnswer: -4, d, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Let b = 18341 + -18337. Let d(v) = -9*v - 5. Give b*w(f) + d(f).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 2}. What is prob of picking 1 v and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.056 + -1.294. Let l = i + -95.65. Let h = l + 96.99929. What is h rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -21*f**2 - 24475*f + 12823. What is t(-1166)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/(-24) - 1564\/(-6).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -273, -703, -1299, -2061, -2989?\n\"Answer: -83*q**2 - 15*q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)*v\/(v*v**(-2\/5)))\/(v\/v**1)**(2\/131))\/((v*v**(-1\/3))\/v**(-6)*v*v*v\/v**(-6)*v*v**4) assuming v is positive.\nAnswer: v**(-623\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3038 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 50 - 23)*(-3*z**3 - 5*z**5 + 3*z**3)*(-5 + 3 + 1 + (4 - 4 + 2)*(0 - 1 + 3) + 5 + 0 - 4 - 3 + 4 + 1 + 2 - 2 - 2 + (-1 - 1 + 4)*(7 - 7 - 15)).\nAnswer: -1690*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = -4*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((-45 - -2) + 16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/7 + 19328*u\/7 + 96590\/7 = 0 for u.\nAnswer: -9659, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/150*(-103)\/(87653\/222)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 698 - 681. Solve 0 = -2*f + f + 3*s - 13, 3*s = -f + a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/132 and -29\/1895193.\nAnswer: 83388492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-15 - (10 + -24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*460\/(-690).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 17. Let w(t) = -t**3 + 4*t**2 - t + 13. Let q be w(5). Let x be m(q). Solve 5*d - 10 = -x*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - n - 2 + (-3 - 1 + 2)*(65*n - 1114 + 1114).\nAnswer: -131*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 33. Let g = c + 3. Suppose -g*s = -111 + 25. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - r + 21, 58*g + 2*r = 59*g + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5269 - 153?\nAnswer: 5116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7 + 8*w**3 - 111*w**3 + 97*w**3. Let n(a) be the second derivative of -a**5\/20 - a**2\/2 - 3*a. Calculate -3*c(x) + 21*n(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4 - 5528*f**3 + 195796*f**2 - 375000*f + 184734 = 0?\nAnswer: -2799, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 45 = m, 6*m = 4*m - 10. Suppose -2*z - i + 149 = 0, 0*z = -2*z + 2*i + 140. Let j = z + g. What is the highest common divisor of j and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551228 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j. Let h be l(-1). Let n be (h - 0)\/((-4)\/8). Suppose a + 3 = -5*m, -3*a + 4*m + 6 = -n. Solve 4*u - 16 = a*i - 0*i, 3*u + 14 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.666 and -1\/2025 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*b - 2 = -80*b. Let h be (0\/(2 + -4))\/(b - -2). Solve h = -4*d - 5*w - 35, d + 3 = w + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2103513855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 - -1*75\/(-5). Suppose 2*v + 6 + 0 = 0. Let k be 63\/b*4\/v. Solve -k*p = -q + 3, -q + 3 = -p + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200028173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + 3*s - 4*s + (-3 + 5*s + 3)*(2 - 4 + 0) + 2 + s - 2 - 3*s - 3*s + 2*s + (0 - s + 0)*(5 - 4 + 0) as u*s + o and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.11, 61, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168*s + 37086 - 40278 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/20 - -1 - -1. What is the nearest to -1\/4 in u, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 != 183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*k + 890, 5*h + 2*k - 7*k = 4420. Suppose -h = -8*r + 3030. Does 75 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - 83. Suppose -v - v = -g. 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: Put 1, 0, -2, -5, -16, 607, 2 in decreasing order.\nAnswer: 607, 2, 1, 0, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -201.58\nAnswer: -22.1738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 + 2*k**2 + 5. Let l(g) = -7*g**3 + 3*g**2 + 9. What is -3*l(r) + 5*o(r)?\nAnswer: r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 108552?\nAnswer: 217104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.2. Let b be -10*(-2 - (9144\/(-20))\/(-3)). Let f be (b\/(-224) + 7)*12\/3. What is the nearest to h in f, 4, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/28 + 1856\/56. Let p be -11*2\/(-2)*1. Calculate the greatest common divisor of h and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 501.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11716 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.824973 years to decades.\nAnswer: 0.5824973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/20 + 5*d**4\/12 - d**3\/2 + d**2\/2 + 10*d. Let v be c(-6). Is -15 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58881080?\nAnswer: 2, 5, 937, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 86*f**2 + 219*f - 32490. Give t(84).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 2*h**7\/7 - 28*h**6\/15 + 26*h**5\/5 - 8*h**4 + 22*h**3\/3 - 4*h**2 + 4*h. Factor l(x).\nAnswer: 4*(x - 1)**4*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 30141?\nAnswer: 30132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 43 + 7 = 3*c + 2*i + 29, -4*c - 162 = 6*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.4 (c) -1.3 (d) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 4*v - 6. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b**5\/23 + 580*b**4\/23 - 1726*b**3\/23 + 24*b**2 = 0. Calculate b.\nAnswer: 0, 4\/11, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 310\/11? (a) 86 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, -1, 8, -17 in descending order.\nAnswer: 534, 8, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28958 = 1785*h + 60292 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1259154067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*s + 3*s. Suppose -5*n + s*j = 15, -n + j = -6*n - 15. Are n and -3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14 = -8*x. Suppose 2*h = 2 + 28. What is the remainder when (73\/x)\/((-12)\/24) is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 18\/(-2)) + -2. Suppose 3*h - s - r = -6*s, -2*h + 30 = -2*s. Let c be (-3)\/(-4 + -2 + 54\/10). Solve -c*w = 3*z + 14, 0*w - h = -3*z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 637 + 377 = 0. Calculate the smallest common multiple of 48 and f.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-11 + 19 + -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202020021112 - 2?\nAnswer: 202020021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931778 is divided by 931705?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8807 - 3117. What are the prime factors of y?\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 9. Let c be x(9). Suppose 4*q + 3*t = 20, 3*q - 2*t - 3*t - 44 = c. Let r be (-4)\/(-16) + 38\/q. Solve -2*n + 0*n + r = 5*h, 0 = h + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414636 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 26*p**2 - 16378*p**3 + 16348*p**3 - 115*p + 2*p**4 - 19*p - 218*p**2 = 0. Calculate p.\nAnswer: -4, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -1\/13 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, 245, 1109, 2855, 5777, 10169, 16325, 24539?\n\"Answer: 49*b**3 - 67*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24065055030.719 - -35.\nAnswer: -24065054995.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 44\/8 + 1\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/5579 and -47\/84?\nAnswer: 66948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-4 + 1 + 2). Let i(m) = -4*m**3 + 3*m + 7. Is 12 a factor of i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15696, -2\/7, -0.2.\nAnswer: -15696, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = -68*p + 18*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 38567004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 8, b: 4, u: 4}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 6.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195 - -255. Let k be ((-2)\/4)\/(3\/(-72)). Calculate the highest common factor of k and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -105252866?\nAnswer: -105252870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6307969 kilometers in micrometers?\nAnswer: 630796900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 4*q + (0*q + 3*q - q)*(2 - 4 + 0) + q - 2*q + 2*q - 2*q + 2 - 2 - 5*q - 2*q + 5*q + 6 + 4*q - 6)*(4*q - 5*q + 0*q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0919 equal to -145\/948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3339 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**17*z)\/z*z*z**(4\/19)*z**(3\/13)*z*z**(2\/5))**(-38) assuming z is positive.\nAnswer: z**(-49008\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510402878 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.809977 + -0.81. Round k to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b*b**(-1\/34)*(b**(-6\/17)\/b)\/b*b\/(b\/(b**24*b)))**15 assuming b is positive.\nAnswer: b**(13575\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -759, -11, 0, -4 in decreasing order.\nAnswer: 0, -4, -11, -759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -86*s + 406. Let f be c(4). Solve a + f = -30*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21160*o**2 - 13856.\nAnswer: 42320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2102*d - 12625. What is w(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.325466092188959 - -0.1.\nAnswer: 0.425466092188959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 16*a = 108. What is the greatest common divisor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13032581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f - 14. What is a(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -17*h**7\/42 + 7*h**4\/6 - 3*h. Find the third derivative of r(i) wrt i.\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/880 and 137\/69300.\nAnswer: 277200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3 + 99\/27. Suppose k = f - 3 + 2, -w*f = -2*k - 8. Let c(r) = -3*r**3 - 2*r**2 + 1. What is c(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-2) - 252\/7. Calculate the common denominator of 3\/(-2)*(-52)\/p and -22\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/5)*((q\/(q*q**6*q))\/q)\/q)**(1\/33))**(-11))**(-43) assuming q is positive.\nAnswer: q**(-1978\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 147*o**2 + 155*o**2 - 105*o**2 + 0*o to the form t*o + q + g*o**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16790, -34562, -52320, -70058, -87770, -105450?\n\"Answer: q**3 + q**2 - 17782*q + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 5*m - 9. Let v be j(2). Solve -v*z + 4*g = -35, -2*z - 19 = 3*g + 2*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/3 - 190*p**2 - 9328*p - 318472\/3 = 0. Calculate p.\nAnswer: -22, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 406*b - 419*b. Let q be -4 + -2 + 0 - -2. Let i be q\/6 - (-2)\/3. Solve -4 = -2*y, -b*z - 3*y + i*y = -22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 + 3*k. Let r be v(-2). Let c be r\/(-9) + (-20)\/6. What are the prime factors of (0 + 1)*-1*c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/18*300\/525*-7*3\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ollooo. Give prob of sequence oool.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2921*f + 17522. Let o be m(6). Let r(u) = u - 5. Let i be r(-6). Is 6\/33 + (-878)\/i + o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, 57 in descending order.\nAnswer: 57, 23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let d(n) = n - n + u*n - n. Calculate d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0*u**4 + 0 - 1\/60*u**5 + 0*u**3 - u**2 - 2*u. Let x(p) be the first derivative of c(p). Let h(z) = -2*z. Calculate x(h(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 9, -1\/6 in increasing order.\nAnswer: -1\/6, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-121599.634.\nAnswer: -36479.8902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*(40\/12 - 3). Let s be a - 3 - (-6)\/3. Solve -d - 15 = -s*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*v - 148 = 0, 5*v - 158 = -a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123.9 and 0.5.\nAnswer: 61.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 3*t + 9. Calculate r(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from llggglllllgggggllg.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15763?\nAnswer: 11, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3\/5 - 36*o**2\/5 - 3416*o = 0?\nAnswer: -61, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 3. Let d(w) = -w + 1. Suppose 5*k = 94 - 109. Let o(v) = -v + 1. Let s(n) = k*o(n) + 4*d(n). Suppose 6 - 2 = -4*t. What is t*j(m) - 5*s(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -7*h**4\/12 + h**3\/6 - 2*h**2 - 16*h. Let b(z) = 6*z**2 - z + 3. Suppose -20 = 3*p - 8. Give p*o(u) - 5*b(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((3\/(-3))\/(39\/78))*(-110)\/2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 83 + 18*g - 87.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -80430 divided by -8043\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187817569?\nAnswer: 1193, 157433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79674, -80954, -83106, -86142, -90074, -94914?\nAnswer: -100674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/81 and -41\/459?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 0)*1281\/(-305). Let t be q\/9*(-12)\/14. Let o(z) = 2*z**2 + z - 1. Let i(x) = -x**3 - 3*x**2 - x + 2. Determine t*i(u) + 3*o(u).\nAnswer: -2*u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)*i)**33\/((i\/i**(-6)*i)\/(i**4\/i)))\/((i*i*(i**(-3\/11)*i)\/i)\/i*i**(-4)\/i)**(1\/3) assuming i is positive.\nAnswer: i**(853\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*c*g*u + 2*c*u**3 + c*u**2 - g*u**3 - g*u**2 + 3 with respect to g.\nAnswer: -34*c*u - u**3 - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y. Suppose -5*n + 3*u + 13 = 0, 5*n + 4*u - 11 = 6*n. Suppose 0 = -3*b - n*b + 40. Solve 0 = -b*l - 2*j - y*j - 15, -2*l = 2*j + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/7 - (3 - (2 - -3)). Let q = -0.4 - -0.8. Which is the nearest to d? (a) -2 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20891 and 15.2555615.\nAnswer: 20906.2555615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {h: 2, w: 1, k: 6, t: 1, p: 5, u: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975 = -5*y + 5*d, 4*d = -y - 2*y + 606. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 + 68*x - 158. Give n(20).\nAnswer: -2398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214665 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qybi when four letters picked without replacement from {b: 4, y: 2, q: 4, i: 9}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/20 - (-867)\/(-30) and -101\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11162*i**3 + 2204*i**3 + 2 - 2.\nAnswer: -8958*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204 - 129. Suppose 5*x + 2 + 16 = 2*u, 5*u = 5*x + t. Suppose 0 = h - 4 - 0. Put u, -1, -2, h in ascending order.\nAnswer: -2, -1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 52 = -5*m, 2*w - 3*m - 20 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Let r be 210\/27 + (-1)\/(36\/(-8)). Find the first derivative of r - 17 - y - 17*b**2 wrt b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1447 + 972 - 161)*(6 - 5 - 6*g + 1) to the form u*g + j and give u.\nAnswer: -13548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25523190 by 146685.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - f - 4. Let w be u(0). Let i = -90819\/128 - -709. Let l = 3\/128 + i. What is the closest to l in -5, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*o + 160573 = -152985 + 304760 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254654?\nAnswer: 2, 3, 43, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 42. Let g = -72\/7 + 662\/63. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coqq when four letters picked without replacement from qocqqct?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/34*4\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363\/(-60) - ((-18)\/4)\/(12\/16).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/266 - (-1)\/((-7)\/(-2879)). Let d = 5 + 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 the remainder when 97 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -8.6203?\nAnswer: 6.03421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-8)*(-552)\/92?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xttxxxxttxtxt.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -9038*f**5\/5 - 325*f**3 - 5833. Find the third derivative of m(l) wrt l.\nAnswer: -216912*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2537, -26 in descending order.\nAnswer: 2537, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 10*t**2 - 5*t + 3*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -769, -776, -787, -802?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122323231 + 1022?\nAnswer: -3122322203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936 is divided by 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244190 + 244195.799675. Let y = n + -5.8. Round y to five decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/(-1770))\/((-72)\/30)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d**3 - 4*d**2 - 14*d + 11. Let r be j(-8). Suppose f - 5129 = -3*l, f - r = 4*l + 654. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*l - l**4 + 18*l + 41829*l**2 - 41828*l**2 to g*l**2 + c*l**3 + o*l + k + f*l**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**3 - 626*c**2 + 8*c + 200028 wrt c.\nAnswer: -12*c**2 - 1252*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 534078 (base 13) to base 6\nAnswer: 105452323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 r when three letters picked without replacement from zbzrrrzrrbbrzbz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**4 + 110878*w**2 + 2*w + 24385.\nAnswer: 12*w**2 + 221756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 7 + -1*3\/1. Factor -2\/3*f**4 - t*f**2 + 0 + 2\/3*f + 2*f**3.\nAnswer: -2*f*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and -61.\nAnswer: 7.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2272*n**2 - 2272*n**2 - n**3 + 4*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**5)))**50*((v*(v**27*v)\/v*v)\/v)\/(v*v*v\/(v\/(v\/((v**(-26)\/v)\/v)))) assuming v is positive.\nAnswer: v**297","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**5 + 720*u**4 + 6927*u**3 + 6210*u**2 = 0.\nAnswer: -230, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 10937909*b**3 - 4 - 5468951*b**3 - 5468955*b**3.\nAnswer: 3*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 <= -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41749 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 6*m - 10. Let r be c(-10). Let w(b) = b**3 - 3*b**3 + 10*b**2 + 12*b**3 - 12*b**3. Let d(t) = t**2. Calculate r*d(l) - 3*w(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 - 8*o - 4. Let d be g(-7). Suppose 3*v - 18 = -0. Suppose -2*s + 3*s**2 + 3 - s - d*s**5 + 3*s**4 - 9*s**2 + v*s**3 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g\/(g*g**(-1\/6)*g*g))*g**25\/g*g assuming g is positive.\nAnswer: g**(155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.4 (c) 4 (d) 0.063 (e) -0.04723 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.12501 hours in nanoseconds?\nAnswer: 68850036000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46479329 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 552761 and 1155773.\nAnswer: 12713503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 12*d + 54.\nAnswer: -2*(d - 9)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4039 - 1930 + 4630 + 2684 + 3*o - 5*o.\nAnswer: -2*o + 9423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2390627ml?\nAnswer: 0.0002390627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 499 (base 14) to base 13\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132744191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63199?\nAnswer: 63199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/55)\/b)\/((((b**(-15)\/b*b)\/b)\/b)\/b))**(-5\/7) assuming b is positive.\nAnswer: b**(-933\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/2*(-18)\/45. Suppose -x + 25 = w, 3*x = h*x - 3*w - 45. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -177, -2, 2 in increasing order.\nAnswer: -177, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z**(-3\/5)*(z*z\/((z**(-1)*z)\/z*z))**21)**(-47) assuming z is positive.\nAnswer: z**(-9494\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 c when three letters picked without replacement from xkcgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*m - 88 = 0, -2*q - 2*m - 2*m = 212. Round q to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 2*m**2 + 5*m - 5. Let y be b(3). Let p be ((-12)\/3 + y)\/((-30)\/10). What is the closest to 1 in p, -1\/14, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5*q = 0, 8*g + 5*q - 4 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9433 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -563.\nAnswer: -59\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(55)\/(sqrt(45)\/(-4*sqrt(9))).\nAnswer: -4*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 136 + 6*i + 129 - 265 + 8*i**2 as h + a*i**2 + j*i and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = q + 3*q - 4*l, -3*l + 31 = 5*q. Suppose w - 4*a + 7 = 0, -q*w + 3*a + 11 = -w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155141028.7872852292 + -111701.2127149208. Let w = 155252717 + s. Let x = 13 + w. Round x to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nuuntnun?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -3*a + 133. Let x = 114 - a. Calculate the remainder when 63 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h - 4. Suppose -5*j + 3*l + 27 = 5*l, -5*l + 10 = j. What is the tens digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -97880 in descending order.\nAnswer: 9, 5, -97880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Let u be (2 - l)*(0 - -1). Let r = -1\/54 + 29\/108. Is r >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -14) + (-2 - 15). Let v(q) = 6*q**2 + 4*q - 93. Is v(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3288*n - 3288*n - 13*n**3 - 8*n**3.\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhezq. Give prob of sequence zh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-16))\/(848\/(-20352)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + b = -2*o + 74, 208 = 3*o - 4*b. Suppose -3*x = 3*w - o, -w + 2*x = -3*x. Solve -2*y = 3*y + w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 2\/1443 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 74*c + 6*c + (-2*c - 4*c - 8*c)*(0 + 3 - 2))*(-1 + 2 - 4 + 2*c**2).\nAnswer: -168*c**3 + 252*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 9341.\nAnswer: -2802.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(4\/5)*c*c)\/c*c*c)*c)\/c)**50\/(c**(-17)*c*c*c**(6\/19)) assuming c is positive.\nAnswer: c**(-2381\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3 - 3)*(0 - 2 + 1) + (3 + 1 - 6)*(15*f + 2*f - 30*f).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let d(m) = 16 + 12 - 39 + 10. Calculate -5*d(c) + p(c).\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 - 7214 = 57*i. Is -110 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 + 4*l + 3. Let g(i) = -10*i**3 - 3*i**2 - 345*i + 9. What is g(a) - 3*t(a)?\nAnswer: -7*a**3 - 357*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(28)\/sqrt(4) - sqrt(7))*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b + 4. Let p be g(0). Let z = -566 + 576. Solve -6 - z = -p*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 3*y - v, -2*y + 33 = -5*v - 69. Suppose 40 - y = -2*k. What is the nearest to k in 1\/2, -13, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01210968447 to seven decimal places.\nAnswer: 0.0121097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 206*g**2 + 0*g + 0*g**5 + 0 + 43\/30*g**7 + 0*g**4 - 215\/6*g**3 + 0*g**6. Find the first derivative of o(s) wrt s.\nAnswer: 1204*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 32*f**4\/9 + 2096*f**3\/9 + 33250*f**2\/9 - 35378*f\/9 = 0.\nAnswer: -133\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123372201?\nAnswer: 3, 1571, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 2789*t**4\/12 - 676*t**3\/3 + 2*t + 3083. What is the second derivative of g(h) wrt h?\nAnswer: 5578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 - -94. Sort 0, 2, z.\nAnswer: z, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74132 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 518 - 2096?\nAnswer: -1b7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 5\/6*w**3 - 1\/6*w**4 + 0*w - 5*w**2 + 0. Let y(i) = 5*i - 1 + 0*i - i - 3*i. Determine -c(a) - 6*y(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 3*b**5 + 2*b**5 + (-2*b + 2*b + 2*b**3)*(24*b**2 - 172*b + 172*b) + 4*b**5 - 5*b**5 + 3*b**5.\nAnswer: 52*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 2. Suppose 9*i = t*i + 156. Suppose i*g = 55*g. Solve 2*h + 10 = -g*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15014 + 4754 = -30*h - 150*h for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w - 2*t - 46, -5*w + 53 = -t. Let v be 2852\/w + (-2)\/4. Let z = v + -286. Calculate the common denominator of z and 23\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102992878 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 1\/3*h**3 + 2 + 0*h**5 - 11\/7*h**7 + 0*h + 0*h**6 + 0*h**4 + 0*h**2. What is the third derivative of u(y) wrt y?\nAnswer: -1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**3 + 10*l**2 + 57*l - 645. Let n(d) = 9*d**3 - 10*d**2 - 55*d + 644. Let h(z) = -3*n(z) - 4*y(z). Factor h(u).\nAnswer: (u - 9)**2*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330974 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 469, 499, 531, 565?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122932256?\nAnswer: 2, 157, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16735676*p**3*x - 148879*p**3 - 79*p**2 - p*x**2 wrt x.\nAnswer: -16735676*p**3 - 2*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1231210 (base 4) to base 9\nAnswer: -10551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/44)\/((-2)\/8). Let y be (-2)\/9 - (-123)\/189. What is the second smallest value in y, 0.4, i, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y**(2\/19)\/y))\/y)*y**(-3\/4)\/y*y**(4\/5)\/y**(-3))\/((y**(1\/2))**(-12)*y**6*y*y\/y**(2\/7)) assuming y is positive.\nAnswer: y**(1173\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 1, d: 1, n: 10, m: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liililfifiliii. What is prob of sequence iiif?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 - 4.2. Which is the nearest to -0.2? (a) 0.2 (b) -2\/19 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjzjjizbjf. Give prob of picking 1 i, 1 j, and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqkq when four letters picked without replacement from {k: 2, q: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 9*h - 47. Determine x(11).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -88.17.\nAnswer: -95.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1180 and 177.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5164 - 123716 = -740*t - 664*t - 220*t for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098167582.\nAnswer: 2, 10159, 54049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25470831535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -5 - (-64 - -46).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.61 (b) 3 (c) 186 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1316617 or -1316616?\nAnswer: -1316616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -16 (c) -6 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*n + 76*n - 94*n - 3 + 3 - 2*n + (1 - 1 - 2)*(n + 2*n - n) - 2*n - n + n + 2*n + n - 2*n to i + w*n and give w.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 42*i + 24. Let l be v(-8). Let n = l - -576. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*l**2 + 1102552 - 1102552.\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -36. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.3167 + 113\nAnswer: 150.3167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 3*a**2 - 2*a - 2. Let z(k) = -3*k**3 + 6*k**2 + 4*k + 4. Suppose -1 = 4*x - 13. Let j(m) = x*z(m) + 5*i(m). Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - f + 99, -2*t = -6*t + 3*f + 203. Let m = t + 95. Suppose -2*i - 2*y = -y - 71, m = 4*i + y. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q + 2*q)*(6 - 6 - 8*q) - 82*q**2 - 1 + 2 + 101*q**2.\nAnswer: 11*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 2 + sqrt(272) + sqrt(272))**2 - (((sqrt(68) - sqrt(68)*-1)*-5)\/(4*sqrt(8)\/sqrt(2)))**2.\nAnswer: 48*sqrt(17) + 3971\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/126846 and 91\/90.\nAnswer: 634230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from mjuzjgxg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(448) - (sqrt(448) + -1)) + sqrt(7) + -1*(1 + sqrt(448)))**2 + 4.\nAnswer: -28*sqrt(7) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*i - 28 - 84, -p - 112 = -5*i. Let j = p - -262. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13747?\nAnswer: 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00348984407 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 260 = -5*g + 5*t + 402 - 208, 2*t = -10 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.1 (c) 4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9099, -9600, -10101, -10602?\n\"Answer: -501*y - 8598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 24*o + 15. Let m be i(14). Suppose 4*v - m = 25. Is (-15)\/v + (-224)\/(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 956*y\/5.\nAnswer: 2*y*(y - 478)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 32. Let c = l - -30. Find the first derivative of 100*d**3 - 4 - c*d**3 + 9 wrt d.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (-2 + (-30)\/(-5)). Solve w*t = 4*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26270 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25623 - 86841 = -2556*h for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 138 + 2*n**2 - 184 + 0*n + 12*n + 107 in the form i*n + c + d*n**2 and give c.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 8 - 192. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 94023270.\nAnswer: 94023270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5638 divided by 5\nAnswer: -5638\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 6. Let g = 5 - 6. Let t be g - -2 - -9 - 0. Is a(t) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -958335 + -48?\nAnswer: -958382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 36 = -8. Sort 1, -20, j in ascending order.\nAnswer: -20, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1000*c. Let z(b) = 4*b**2 - 385*b + 174*b + 211*b. What is d(z(a))?\nAnswer: 4000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 25.8. Let l = 0.35 + n. Let z = l + -0.51. Round z to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-69)\/(-18) - (-29)\/102. Let q = 2 + -1. What is the nearest to q in 3, 4\/7, n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 11:55 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 19 - l**2 + 0*l - 1\/6*l**6 + 3\/4*l**4 - 1\/5*l**5 + 1\/3*l**3. Factor t(z).\nAnswer: -z*(z - 1)**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 46 = 49 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -18, 1\/3, -6, 36628?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -143?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2803\/3 - -932. Which is the nearest to -0.1? (a) 0 (b) g (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose 3*o - 18 = 0, -358*t + 357*t - o = -12. Solve f*y - 3*j = -11, 4*y + t*j = 3*j - 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-31\/3)*f**(-6\/13)*f*(((f*f**(11\/5))\/f)\/f)**(4\/5) assuming f is positive.\nAnswer: f**(-7639\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 0*g**3 + 0*g**3)*(1367*g**2 - 186362*g + 186362*g + (-4 + 4 - 1)*(0*g**2 + 3*g**2 - 5*g**2)).\nAnswer: -2738*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1346*z + 1035*z = -737*z - 96658 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 333069.7407.\nAnswer: -333069.7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 8496 = 29*u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1424120115976409.0000373 - -1424120038232963. Let f = 77743484 + k. Let j = f - 38. What is j rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 2*w**2 - 3*w - 2. Let n be l(-4). Let p = 182 + n. Is p a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1338 - 672 - 680 = -4*j, 5*j - 2*l - 21 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82148, -164288, -246428?\n\"Answer: -82140*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 76 + 46 = 0. Suppose -y = 2 - 5. Let l be 22499994\/(-15) + y\/(o\/(-2)). Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06801 - -1.26801. What is the nearest to 1\/8 in -1, -8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + k + 5*k = 18, 0 = -s - 3*k + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1208, -1209, -1226, -1271, -1356, -1493, -1694?\n\"Answer: -2*b**3 + 4*b**2 + b - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let h(m) = -25*m - 20. Let g(r) = 11*r + 9. Let k(d) = -7*g(d) - 3*h(d). Let f(l) = -l + 1. Let y(v) = u*k(v) - f(v). Determine y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3657688 and -52?\nAnswer: 190199776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 77.43. Let h = 0.86 + q. Let t = 0.71000033 + h. Round t to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*p + 2*p = -44, 5*u - 2*p = -55. Let n = u - -13. Suppose -n*d = -4*r - 38 + 12, 6 = -2*r. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 93*t - 65. Let b(a) = 31*a - 23. Calculate -17*b(f) + 6*y(f).\nAnswer: 31*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 27. Let y(g) = 250001*g**2 + g - 6. Let l be y(q). What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 24. Let i = y + -19.9. Which is the nearest to i? (a) 1\/4 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 50.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + ((-9 - 3) + 6 - -2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 9*o - 450. Solve -5*n + 0*l - o = -l, 0 = -4*n - l - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 909 or 900?\nAnswer: 909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/11)*(q\/q**26)\/q*q*q)**(-2\/115) assuming q is positive.\nAnswer: q**(526\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**2 - 6*g + 3. Is a(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -34. Suppose -2*k + 2*o - o = -47, 0 = -q*k - 4*o + 150. What is the remainder when 50 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*q - 2 = 0, -4*q = -3*a + 5 + 1. Suppose 9*c - 2 - 2 + 9 + 3*c**a + 1 = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 14*y**2 - 7*y - 12. What is the remainder when f(-14) is divided by (-820)\/(-28) + 4\/(-14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 2*sqrt(153))*2 - (-5*(sqrt(153) - -2*sqrt(153)) - sqrt(153) - sqrt(153)))\/(sqrt(54)\/sqrt(150) - sqrt(1089)*2).\nAnswer: -115*sqrt(17)\/109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*-67\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380 is divided by 246?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -15*u**2\/2 - 29*u - 10. Is 9 a factor of w(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 17 = 4*w + 3*l, -4*l + 20 = 0. Suppose -25 = 5*h - 3*u, -5*u + 8 = 3*h - 11. Do h and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*a = -6037 - 1445. Calculate the remainder when 1203 is divided by a.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Let f(p) = c*p - 2 + 2 - 2*p. What is the units digit of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -920 divided by -4.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -46*h - 30 + 287 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -20*r + 25*r - 26, 0 = -r + 3*m + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 12*q + 10 = 0. Suppose -4*j - 1415 = -q*b, -3*b + 566 = -b + 5*j. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-111)\/24)*(-15 - 3536\/(-240))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 5296 = 7*n. Let d = -80 + n. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51600 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*m + 68*m + 8*m - 18*m as w + f*m and give f.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/18 - 4\/(-18). Let p = -983 + 982.5. What is the fourth smallest value in -1\/3, w, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 + 2*r + 3. Let s = 13 + -5. Let m(g) = 2*g**3 + 14*g**2 - 6*g - 8. Calculate s*y(w) + 3*m(w).\nAnswer: -2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -21 - (5 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 at least 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from jbk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 28*z = 14. Let v be 0 + 2 + 1 + -1. Let q be 388\/28 - (-2)\/14. Solve 5*k - z*j = j + q, 4 = v*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5089438 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 22691.3, 0.3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29797, -29799, -29801, -29803, -29805?\nAnswer: -29807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33445 is divided by 14850?\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114260 by -145.\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 504698*a + 4037629. Give w(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 461510 and 63?\nAnswer: 4153590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/22, 3\/7, 0.8, -15, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -53574?\nAnswer: -2\/26787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.5618047s?\nAnswer: 0.042696745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -12\/13 (b) 0.07 (c) 1258 (d) 2 (e) -3 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*r**2 - 9 + 7 + 0 + 2*r)*(0 - 2 + 1) to k + w*r + n*r**2 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*v**4 - 18*v**2 - 35\/2*v - 23\/4 - 13\/2*v**3.\nAnswer: -(v + 1)**3*(v + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-7*m - 4*m**4 + 28*m - 44*m**3 - 23*m).\nAnswer: 4*m**4 + 44*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*m + 19*m + 2093*m**2 - 66*m + 24*m)*(5*m + 2*m - 5*m).\nAnswer: 4186*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18598509 divided by 3\nAnswer: -6199503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702480511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 711578 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 21*h - 98. Let o(x) = -22*x + 97. Let p(v) = 5*i(v) + 4*o(v). Let s be p(6). Let -1\/3*w**3 - 1\/3*w + s + 2\/3*w**2 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 1, 0.34, 0.1, -1 in decreasing order.\nAnswer: 1, 4\/7, 0.34, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13132473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1009 divided by -508\nAnswer: 1009\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 5*r**2 - 4*r - 1. Let l(k) = -k - 2. Let v be 5\/2*(-4)\/2. What is the remainder when n(3) is divided by l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375600655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-3)\/(-4))*(7 + -47). Suppose 0 = -l*f + 100*f + 3750. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + (6 - -1 - 18) + 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -183325 at most as big as -183282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 157?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16533675 is divided by 24714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 8*n**2 - 18*n - 17. Suppose 25 = -2*m + 5*f, -3 = 4*m - 2*f + 39. What is d(m)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1509 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234670 less than -1961?\nAnswer: -1236631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 - 5*g**2 - 5*g - 13. Let q(p) = -p + 6*p**3 - 22 - 8*p**2 + 2 - 2*p - 5*p. Calculate -8*b(s) + 5*q(s).\nAnswer: -2*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 990347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -71774800 to the nearest 100000.\nAnswer: -71800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16153 = 3*i - i, -40320 = -5*i + 5*m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53338 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 11*b**2 - 5*b - 19. Determine z(7).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/3 - q**2\/2 - 26*q + 7. Calculate w(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 8. Let v = b + 5. Solve 5*w = -3*y + 4*w - 5, 0 = v*y - 3*w + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2. Let b be (-126)\/(-72) - (-1)\/4. Let d(h) = -7*h**b - 5*h**2 + 1 + h + 6*h**2. What is -2*d(a) + 5*s(a)?\nAnswer: 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 184702?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -123?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/46656 and -109\/1944.\nAnswer: 46656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j**(-1\/29)\/j))\/((j**(-1\/2)*j)\/j) assuming j is positive.\nAnswer: j**(263\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 917*u - 3. Let f(r) = r. Calculate q(f(v)).\nAnswer: 917*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -54*f + 232. Let t be r(4). Solve -4*d = 4*c - t - 16, -4*c = 5*d - 37 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/75*3)\/(2*(-12)\/80)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let l(n) = -3774196*n. Calculate m(l(r)).\nAnswer: 3774196*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 232*o + 157 - 230 + 5*o**2.\nAnswer: o**2 + 232*o - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 6. Let g be ((-4)\/3)\/(j\/(-9)). Let y(h) = g*h + 4 + 2*h - 2. Determine y(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9744.915ml to litres.\nAnswer: 9.744915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300410 divided by -27310.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3299*u**2 - 6*u - 16. Let m be r(-32). Round m to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906362 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 = -3*m - 1, 5*m = 5*i - 15. Sort 2, -1, -3, m in decreasing order.\nAnswer: 2, -1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 3.3, -4\/3, -5, 0.7, -23?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**2 - 184 + 0*v**2 + 44*v**3 - 41317*v + 10*v**4 + 82624*v - 41313*v wrt v?\nAnswer: 240*v + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012 + -100201?\nAnswer: -201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1139 + 2059. What are the prime factors of i?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 3*y**2 - 10*y - 15. Give z(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4857209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 238 = 198 - 440. Solve n = -o + 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573553747 to the power of 1\/4, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715 + 1315*h**2 + 715.\nAnswer: 1315*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20 - (25\/(-28))\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 211\/(-11) + (-546)\/(-39) + 7\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8033, -7, -3 in decreasing order.\nAnswer: -1, -3, -7, -8033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Is (5 - 3)\/((-7)\/((-11851)\/z)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -555*r**4 + 72238*r**3 + 89172588*r + 1 wrt r.\nAnswer: -6660*r**2 + 433428*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 503101, 503146, 503189, 503230?\n\"Answer: -i**2 + 48*i + 503054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let l be i(-1). Suppose -2*d + 6 = 2. Suppose -o - d = 3*p, -6 + 0 = 3*o - 4*p. Is l >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 141963.8979 to the nearest one hundred.\nAnswer: 142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 885 + -4423\/5. Which is the third smallest value? (a) 1\/9 (b) i (c) 8 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(sqrt(52)*1)**2.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:08 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(1\/34)*(a**1)**(7\/3) assuming a is positive.\nAnswer: a**(116\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263446009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 158\/13 + -4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f**3 + 3*f**2 - 6*f + 6. Let h(y) = -12*y**3 - 2*y**2 + 6*y - 6. Let q(j) = 3*h(j) + 4*i(j). Let c(r) = -r**3 - r**2 + r - 1. Give 6*c(w) + q(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -445 + 444.93. Let x = -4\/31 + 39\/62. Sort -1\/5, x, g in ascending order.\nAnswer: -1\/5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -9) + -48 + 4 + (28 - 17).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.55 times -0.5\nAnswer: -1.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - c - 7, 8*x - 8*x + 2*x = 4*c + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q**(16\/3)\/q)*(q**(3\/2)*q)**(-13\/3))**(-39) assuming q is positive.\nAnswer: q**(1027\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -47. Let d be 10160\/(-15240) - (376\/6)\/(-4). Solve -d + p = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 5*o + 5*o + (-3*o + 3*o + 5*o**3)*(-2 - 2 + 3 + (-1 + 0 - 1)*(5 - 4 - 2)) in the form p*o**2 + t + z*o**3 + k*o and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0 - 1\/2*u**3 + 3\/2*u**2 + 2*u - 1\/12*u**4. Let w(i) = i**2 + 5*i - 4. Let m be w(-6). Determine k(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -879 + 1492. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 4*j, -2*k - 13 = -4*j - 9. Sort -16, -3, -4, j in ascending order.\nAnswer: -16, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 8*f - 9. Let h be u(-6). Suppose -h*j = 2*r - 310, -5*j + 236 = 4*r - 282. Calculate the remainder when j is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 706*w**2 - 226*w - 13 + 703*w**2 to r*w + k*w**2 + b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 44528, 2366.\nAnswer: 3, 2366, 44528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3 - 82 + 2*x + 1\/4*x**4 - 3\/2*x**2. Let j(d) = 2*d**3 - 4*d**2 - 4*d + 1. What is 3*j(r) - 4*l(r)?\nAnswer: 2*r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68))**2 + (1 + sqrt(17) + 5)**2.\nAnswer: 12*sqrt(17) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 171?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2)\/24)\/(108\/(-432)))\/((-2)\/1554). Which is greater: q or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96 - 71 - (-30149 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 5:06 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -13*f + 9*f - 4708, 0 = -a + 4*f + 2350. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:24 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/8*(-56)\/10. What is the greatest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 3*x**2 + 3*x**2 + 4*x + 0*x.\nAnswer: 8*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:30 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x. Let y(o) = 68599*o**2 - 2*o. Give y(m(a)).\nAnswer: 4390336*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/9, -3\/2, 0.4, 0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -876858, -3507422, -7891696, -14029680, -21921374, -31566778?\n\"Answer: -876855*g**2 + g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -168913558.\nAnswer: -168913563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -ac3a29?\nAnswer: ac3a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o**3 + 5*o**2 - 4*o. Let d(x) = -12*x**3 + 6*x**2 - 5*x. Calculate -5*d(z) + 6*j(z).\nAnswer: -6*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*j + 37155*h**3 - 1572*j wrt j.\nAnswer: -h**3 - 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 29*c**2 + 31*c - 109. What is i(28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23556*g + 4*g**4 - 180 - 23565*g + 47118*g + 12 + 13*g**3 wrt g.\nAnswer: 48*g**2 + 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/24 - 2*z**3\/3 - z**2. Let k be r(-11). Suppose 54 = 10*t - k*t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2643168*w**2 - 7705025 with respect to w.\nAnswer: 5286336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y - 4*y**4 + 32*y**3 - 32*y**3 wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1100)\/(-100)*2\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325570 = -4581*a - 59234 for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 5, -28 in increasing order.\nAnswer: -28, 5, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 150205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8300 and -67\/1116.\nAnswer: 2315700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(sqrt(891)*2 + -4))**2.\nAnswer: -1296*sqrt(11) + 32220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.02.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 6e5?\nAnswer: -6d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 24421533?\nAnswer: -24421535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 + 6 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -2. Suppose -3 = -4*o + m. Which is the third smallest value? (a) 0.1 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, -2.2, -31\/4, -11\/4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 236926519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -30. Let v = i + 50. Let k be v\/28 - (-1)\/(-2). What is the second smallest value in 0.2, k, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 534 - 531. Suppose 59 = 6*q - 3*q - r, -m*q + 4*r = -65. Calculate the remainder when 204 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 622, 1245, 1868, 2491, 3114, 3737?\n\"Answer: 623*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:22 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*r - 83*r - 79 - 80*r - 48*r - 82*r - 78*r.\nAnswer: -4*r - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2*(2 - 816693). Let a be (0 + -6 + 0)*t. Let j = -1599124 + a. What is j rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2442 - 23*p + 2442 + (-4 + 2 - 3)*(-3*p + 2 - 2))*(1 - p - 1) as b + h*p**2 + c*p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Let s(q) = -q**3 - 10*q**2 - 9*q + 7. Let n be s(-9). Solve -k*u + 9 = -n*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 11293380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1543, 1542, 1545, 1552, 1563?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -33*k - 3. Let f be w(-6). Let c = f + -81. Suppose 5*n - c = 4*a, 2*a + 25 = n - a. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j**2 - 7. Let f(a) = 3*a**2 - 2. Let g(h) = -14*f(h) + 4*q(h). Let u(i) = 21*i. Give g(u(c)).\nAnswer: -882*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3, 0 = 3*q - 4*p + 17 - 1079. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microsecond in nanoseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f - 2*f**2 + 3*f**2 + 65*f - 31*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 18 + 146 = -177 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/21470 and 89\/12882.\nAnswer: 64410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.029536 rounded to 0 decimal places?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)\/t)**15\/(t\/t**(2\/3))**(-25)*((t\/(t**0\/t))\/t)**(2\/69)*(t*(t**(-2\/3)\/t*t)\/t)**(-3\/35) assuming t is positive.\nAnswer: t**(-15892\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 23 - 93 - 24 - 75.\nAnswer: -j - 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(539) + sqrt(539) - (4 + sqrt(539)*-2)) + -3.\nAnswer: -10 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**4\/4 + 2*c**2 + 3. What is the second derivative of r(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*p - 2*p + 12, -3*p + 2*l + 2 = 0. Suppose -p*i - 1 = -11. Suppose i*q = 4*q + 25. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.599983 + 3.6. Round o to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1789 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + ((-20)\/(-4) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/(((-2)\/(-1))\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*p - 392 = 0, -4*q + 3*p - 6*p = -314. Let x be q\/45 - 6\/(-27). Suppose 0 = 129*b - 125*b. Solve -x*h = -b*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + o - 1 = 0, 73*w + 325 = o + 120 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 46*l**2 + 72*l - 37. Is p(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2401 - 4292. Is (-1 - 1*-2) + (9 - p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.62 and -36412.89087.\nAnswer: -36408.27087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*d**2 - 10\/3*d - 28\/9.\nAnswer: -2*(d + 1)*(d + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -21*b + 22*b. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4546 - 4542. Factor 20\/3*a + 40\/3*a**3 + 20\/3*a**n + 4\/3 + 40\/3*a**2 + 4\/3*a**5.\nAnswer: 4*(a + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134762099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 151 in 6, 0.4, -124?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/5))\/l)\/(l*l**(-4))*((l*l\/((l\/l**1)\/l*l)*l)\/l)\/l**6 assuming l is positive.\nAnswer: l**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 4aaa692?\nAnswer: 4aaa688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 20324.\nAnswer: 6097.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -238\/9 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2120856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11740994, 11740989, 11740980, 11740967, 11740950, 11740929, 11740904?\nAnswer: 11740875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008687 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2042 - -2039.206. What is i rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 25 + f**3 - 5*f**2 + 2*f**2 - 2*f - 11 - 4*f**2. Let v be o(7). Suppose v = -4*n - 0*n + 1004. List the prime factors of n.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/51 and (6\/30)\/((-2)\/(-76)).\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7990222843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.83 - -0.9. Let z = g + 0.33. Is -1\/2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n**2. Let t(j) = -19*j**2 + 11*j. Let g(i) = 10*i**2 - 6*i. Let w(l) = -11*g(l) - 6*t(l). Give w(a(p)).\nAnswer: 900*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-1)\/2 - 4. Let z be -4*(2*l - -3). Suppose -y - z*y + 955 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6. Suppose 4*o - 20 = d, m + m - 5*o = -33. Let a(f) = f**3 + 4*f**2 - 2*f - 3. What are the prime factors of a(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-10) + -1 + 2. Let m be (-2)\/20*(-60)\/(-8). Let g(x) = -86*x + 431. Let u be g(5). What is the closest to u in 0.2, m, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*(c\/(c*c**7*c))\/c*c)\/c*c*c*c**(-4\/13))\/(c\/((c\/c**(-13))\/c*c))**(-2\/29) assuming c is positive.\nAnswer: c**(-2339\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6558080 and 41\/115.\nAnswer: 150835840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-9)\/48)*4\/(-24))\/((-274)\/548)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24145\/6 - 4013. Find the common denominator of t and -70\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215545276 + 5?\nAnswer: 215545303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - -4) + -10 - 3) + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-8\/3))\/m)\/(m\/((m\/m**(-1\/6))\/m))*(m*m**(-21)*m*m*m)\/((m\/(m**(3\/22)*m))\/m) assuming m is positive.\nAnswer: m**(-463\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15*10500\/(-175)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 192001*i**2 + 2*i. Let w be x(-2). What is w rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, g: 3, u: 3, h: 3, k: 1}. Give prob of sequence ugll.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -22. Suppose 16*f - 2*f - 952 = 0. Calculate the remainder when f is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1050 by -70.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 40.9041 months?\nAnswer: 0.3408675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.29 + 0.09. Sort q, -5, -3\/5, -3, 1 in descending order.\nAnswer: 1, q, -3\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128\/201 - 2\/67. Suppose -2*j - j = 30, 21*u - 44 = -2*j + 20. Let l = 0.8 - 0.3. Which is the biggest value? (a) l (b) -1 (c) g (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxaxxxxxaxxxxx. Give prob of picking 3 x and 1 a.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*(((b*(b\/(b*b\/b**(4\/3)))\/b)\/b)\/b)\/b)\/((b*b**(-1\/9))\/b**(-6)) assuming b is positive.\nAnswer: b**(-113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374 - 383 + 3*v - 380 + 1137.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (161\/(-21) - -8)\/(2\/666) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (4 + -2) - 2. Let n be 70\/(-12)*j\/(-95). Let t = -3\/19 - n. Which is bigger: -0.2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -b - b + 19, -4*b - r = -3. Let i be ((-13)\/26)\/(b\/4). Let d(l) = 5*l - 1. What is d(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 20*d**2 + 3*d + 3. What is s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Suppose 4*j + k = 8 + 9, d*k = 5. Solve 10 = -5*p - 0*p - j*r, -2*p + 3*r - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 5*v)*(-1 + 3 - 5)*(-3*v + 0*v + v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = v - 6*y + 8*y, -y + 3 = 0. Let u(m) be the second derivative of m**4\/12 - m**3 + 3*m**2\/2 - m. What is u(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h - 69. Let p be x(-24). Let o be 972\/(-63) - 8\/14. Let w(m) = -m**2 - 16*m + 2. Let s be w(o). Solve s*a = -a + j + 7, -p*j + 15 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 + 2*w + 1. Is 10 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53248 and 1030640.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*v = 12*m + 159, 2*m + 0*m - 85 = m + 2*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 79 - 209 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 706.9211um?\nAnswer: 706921.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -740*z + 741*z + 46, 5*b - 7*z = 202 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18749.79 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87508 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:18 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 17*r = -10*r - 3*r - 14, 2*r = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 27\/(-12))*16\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nntt when four letters picked without replacement from ttntttnt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-105)\/161)\/3 + (-1)\/(-1). Which is the fourth biggest value? (a) q (b) -0.3 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1029)\/(-21))\/((-1)\/(-7)). Let g = 161 + h. Suppose g = x - 110. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42 and 11997369.8.\nAnswer: 11997411.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 3. Let c be d(3). Calculate the common denominator of (-1 - -2)\/(56\/c) and -97\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*q + 5*q, 0 = -5*b - q + 20. Suppose 0 = -115*u + 121*u - 30. Calculate the lowest common multiple of u and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (0 - 19)) + (147 - 167)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 2 - (1 + 1). Let t = 0 - o. Suppose t*w - 6*w = -48. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 446*n**2 - 14*n - 5. What are the prime factors of x(3)?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:05 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159364.\nAnswer: 2, 39841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710 is divided by 867.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3111405 - 1?\nAnswer: 3111404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 511599810 and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 186. Suppose -5*t - 2*h = -a - 237, -3*t + 269 = 5*h. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 14*p**3\/3 - 25*p. Let k(v) = -2*v**2. What is a(k(u))?\nAnswer: -56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 2.563 (c) -7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 2*h + 51. Let s(d) = -2*d + 11. Let j(a) = -a + 5. Calculate h*s(v) + 5*j(v).\nAnswer: v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*x + 6 = 2, 4*l + 5*x = -7. Suppose 5*f + 8 = -4*j - l, 3*f + 6 = 3*j. Is f < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1869877704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 6*n**2 + n + 8. Let p(j) = 3*j**3 - 17*j**2 - 3*j - 23. Let k(u) = 6*p(u) + 17*y(u). Let m(z) = z - 3. Let r be m(3). Calculate k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.99*1.629.\nAnswer: 8.12871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, -609, -579, -537, -483?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2 - 56*o + 7. Let k(y) = 5*y**2 - 28*y + 4. Let c = -2145 + 2152. Determine c*k(u) - 4*a(u).\nAnswer: -u**2 + 28*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (15 + -24)) + -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3297971*c**2 + 3*c + 12427247 wrt c.\nAnswer: 6595942*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-7) + 28\/(-49). Put z, 34, -3, -5 in descending order.\nAnswer: 34, -3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = -3*f + 3, 5*f - 2*a = 18. Solve f*d + 2*x = x + 15, 40 = 3*d + 5*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 3*n + 139. Let a be s(-11). What is the smallest value in 0.3, 0.5, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + 10*v + 8. Let c be q(5). Suppose 12*y = c*y + 1812. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:40 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -7. Let k = b + 4. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -765? (a) -751 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14619 and 363.\nAnswer: 160809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/436557?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 87 = -367. Let j(v) = v**3 + 5*v**2 - 17*v - 2. What is the remainder when i is divided by j(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 2, 22, 60, 122?\n\"Answer: g**3 + g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, -3, -0.09449, -94 in descending order.\nAnswer: -0.09449, -3, -3.7, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10*f + 22 = -138, 70 = -2*x + 70*f - 74*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 32*l**2 - 46*l - 323. Give g(-16).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -94*-7.518\nAnswer: 706.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-54 - 160 - 224 - 240 + c) - 8*c - 2*c + 4*c.\nAnswer: -8*c + 1356","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Let z be 2 - 1 - (0 - 1). Let u(c) = z*c + c**2 + 10*c - 7*c - g. Determine u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -854*h**3 + 2*h - 2762.\nAnswer: -2562*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Let h = a + -4.4. Let z = h + 1.7. Is z <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4\/4 - 7*h**3\/3 - h - 9. Give c(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-74)\/(-185) + 5726\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05998992282 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -8*s - 12. Solve -4*m - 3*k - k = -16, 5*m - 20 = s*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - -0.438. Let v = p + 3.692. Let n = v + -0.17. Which is the smallest value? (a) 0.1 (b) 0.19 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5402*b - 21490. What is j(4)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 6*w**2 + 4. Let q be v(-6). Let c(l) = l**3 - 2*l**2 - 4*l - 2. Let r be c(q). Let z = 29 - r. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 + p**4\/4 - 3*p**3\/2 - 55*p**2. Let z = 16 - 23. Determine v(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 3*x)*(13 - 13 + 9*x) + (0*x - 2*x + 0*x)*(1 - 1 + x) to the form v*x + b*x**2 + q and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -25*o**8\/336 - 17*o**4\/12 + 37*o**2. Find the second derivative of g(a) wrt a.\nAnswer: -500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**7\/42 + 4*h**6\/15 + 9*h**5\/10 - 9*h**3\/2 + 2*h + 57. Suppose j(q) = 0. What is q?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 9 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 15*f + 16. Is c(-8) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6571259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**6\/75 + 3*f**5\/50 + f**4\/30 - f**3\/5 - 2*f**2\/5 - 35*f - 4. Factor m(i).\nAnswer: 2*(i - 1)*(i + 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 63114 + 63131 - 10*h**2.\nAnswer: -9*h**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (71 + -67) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141475.\nAnswer: 5, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 37*x**2 + 4581*x - 546. Give y(-124).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 69985 * -0.064\nAnswer: -4479.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a. Let b(d) = 15*d**2. Calculate b(k(l)).\nAnswer: 135*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/42 - j**6\/15 - 13*j**5\/20 - 5*j**4\/6 - 539*j + 2. Suppose c(y) = 0. Calculate y.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156610, -312995, -469380, -625765, -782150, -938535?\nAnswer: -1094920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 39031578.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 360936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3522691004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47cd7 (base 16) to base 5.\nAnswer: -33402403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:57 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**4 - 8977408*w**3 + 19522307 wrt w.\nAnswer: 4*w**3 - 26932224*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97b - a09b?\nAnswer: -9320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 90*q - 222 = 0. Put 8, 0.2, 4, q in descending order.\nAnswer: 8, 4, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6536751 is divided by 833.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/23 (b) 0.5 (c) -0.0504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*j + 4*j. Suppose 2*n + 3*s - j = -0, 4*n - 3*s - 11 = 0. Let t = 15 - 11. Calculate the highest common factor of n and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:28 PM?\nAnswer: 308","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76511665 to the power of 1\/2, to the nearest integer?\nAnswer: 8747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 51176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 4. Let u(i) = 1. Let s(x) = -q(x) - 3*u(x). Let j(d) = -2*d + 1. Let k = 132 + -134. Determine k*j(m) + 3*s(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23463 (base 13) in base 11?\nAnswer: 4448a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*k + k**2 - 28*k - 19*k - 40*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*c + 340*c + 24285*c**3 - 154*c.\nAnswer: 24285*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 22. Let x be b(-16). What is the remainder when 0 + 0 - x*-2 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 9:53 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j + 3*q, -j + 6*j + q = -61. Let v = -31 + 37. Let u be (-4)\/v*(-18)\/j. Sort 2, u, -2.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - o - o + (-6*o - 12*o + 0*o)*(5 - 5 + 2) - o + 2*o + o + (o - o + o)*(-4 + 2 + 4) + 2 - 2 + o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1 + 24\/9). Suppose -35 = -5*s + 2*b + 5, t*s - 3*b = 40. Suppose 3*f - 12 = 0, -5*f + s = -2*j + 72. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1274 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 215\/2 - (-2)\/4. Suppose -3*t = t + x. Let p = 10 - t. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*z - 2*z = 37, -4*y = -z + 55. List the prime factors of 0 - 3 - 2*y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 20*t**2 + 11*t - 21. Let g(j) = -j**2 + 22*j - 59. Let r be g(20). What are the prime factors of k(r)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9207 - -0.0907. What is the second smallest value in l, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 2*x**2 - 5*x**2 + (-3*x + 2*x + 4*x)*(1 - 2*x - 1) + 4*x**2 + 0 + 0.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 514248*-0.06\nAnswer: -30854.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q. Let g be n(5). Let r be 20\/g - 5\/(-3). Let k(w) = -7*w + 20 + w**3 + 14 - 31 - 4*w**r. Calculate k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 33*d + 53. Let i be g(-6). Let n = i + 148. Let u(y) = -y + 0 + 6 - 3. Determine u(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, and 1 b when three letters picked without replacement from {v: 7, q: 1, b: 1, w: 4, f: 4}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/60 - 3*w**2. Let g(l) = -6*l + 4*l - 7*l. Give g(b(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703680369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.2, 76, 4 in descending order.\nAnswer: 76, 4, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**5 - 2*v**5 - 3*v**5 + (-2*v**4 - 3*v**4 + 3*v**4)*(-v - 2*v + 0*v) + 1 - 3*v**5 - 1 + 2*v**5 + 2*v - v**3 + 7*v - 7*v.\nAnswer: 6*v**5 - v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0862 - 0.9138. Which is the nearest to v? (a) -4\/9 (b) 5 (c) -4 (d) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15493.3 meters to micrometers.\nAnswer: 15493300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(486) - -2*sqrt(486))*-2 - sqrt(486) - 6*(sqrt(486) - (sqrt(486) + (sqrt(486)*1 + sqrt(486) - sqrt(486)))))\/(-6*sqrt(48) + sqrt(75)*2).\nAnswer: 9*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6030 + -6031. Which is the biggest value? (a) 4 (b) 3 (c) 2 (d) -1\/17 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:08 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**2\/9 - 19406*o\/9 - 8398\/3.\nAnswer: -2*(o + 969)*(10*o + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1037584\/3 or 345861?\nAnswer: 1037584\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 5*u - u**3 + 4 - 14 + 9*u**2. Let x be d(8). Suppose 188 = -2*g + x*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 6*x - 1. Let f be b(4). Let t = f - -41. Solve -r + t = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 3. Suppose m*z - 408 = -3*o, -4*o - 4*z + 512 = -8*z. Let d = 392\/3 - o. Which is the biggest value? (a) -2 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 161024?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by 892.\nAnswer: 131\/892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 94*b**2 - 72*b - 1963. Determine u(93).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39496 divided by 2?\nAnswer: -19748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*i - 643*i - 9*x + 11 = -1251*i, -23 = -i - 8*x for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 12*m**2 + 13*m + 3. Let f be b(13). Let c(r) = 5*r - 3*r - f*r. Let x(u) = 7*u. Calculate c(x(k)).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3460.8 - 3570. What is l rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42166257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 142.1683.\nAnswer: 7.108415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -668 + 670. Let j = 1090 - w. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 101742609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 35 - 4*v**2 + 81.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**2 + 5*f - 3. Let g(r) = -2*r**2 + 2*r - 1. Give 8*g(d) - 3*m(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(468))*-2 - sqrt(52))\/(sqrt(4) - sqrt(28)\/sqrt(567)).\nAnswer: -81*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 3*u - 2*u**2 - u**2 - u**4 - 9*u**3 + 11*u**3 to the form t*u**4 + x*u + d + y*u**3 + r*u**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 7*q - 5. Let v(o) = o + 4. Let c be v(-12). Let y be f(c). Is 451\/22 - y\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3225 - 3222. Suppose 0 = -y + 2 + 8. Let q = y + -5. Solve q*i - c*i = b - 7, 3*b - 1 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1530*o + 32055. What is t(-21)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -427554159 divided by -7003\nAnswer: 61053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 5\/(-3))*-6. Let d be (y + -1)\/((-12)\/8). Solve -2*z = d*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 12, j - 5*g - 101 = -j. Let m = -3 + j. Let z = 19 - 9. What is the greatest common factor of z and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 l when four letters picked without replacement from {i: 7, o: 2, l: 3, z: 3, e: 4}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (6 - 4) + 55. Let q = w + -34. Calculate the highest common divisor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -12, -0.11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2 + 35548*g - 426288 = 0. What is g?\nAnswer: 12, 17762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*n - 20 = n, -2*n + 10 = 0. Let t be 0\/3 - q*2. Solve -4*l = l - 5, -2*l = 2*i - t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - (-16)\/90. Let n = 2281\/15869 - 2\/2267. Put d, n, 3, -1 in ascending order.\nAnswer: -1, n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -334583.\nAnswer: 167291.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2264\/56 + -30 - (-50)\/(-35).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 15. Let j be n(13). Let q = 403679507\/1397460 + 7\/93164. Let u = q - 289. Are j and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 (base 12) in base 10?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1560 and 975?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/40*2315\/(-2778).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 3*h**3 - 3*h**3 + 1 as i*h**2 + p + c*h**3 + z*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.5. Let q = -2.161 - 0.039. Let h = -2 - q. Which is the third smallest value? (a) h (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256\/9*c**2 - 14\/9*c**4 - 88\/9*c + 0 + 178\/9*c**3 = 0 for c.\nAnswer: -2\/7, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-9) - 1528\/(-180). Which is bigger: c or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3\/7 + 2900*a**2\/7 - 543968*a\/7 + 6590272\/7 = 0. What is a?\nAnswer: 13, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty sevenths of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -490*s**3 + s**2 + s. List the prime factors of r(-1).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - m. Let c be w(-1). Find the third derivative of -2*h**2 - h**2 + 2*h**4 - c*h**4 + h**2 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55 + -1 + (-3 - -1). Let z = m - 17. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 3.92.\nAnswer: -105.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*g - 56 - 146, 3*g + 15 = 0. Suppose 65*d + 399 - u = 0. Let f(k) = -k - 14. Calculate f(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(-13*d + 0 + 0)*(12*d + 17*d - 6*d) to g*d + w + u*d**2 and give u.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 170712.21 months in years?\nAnswer: 14226.0175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -308*d**3*s - 97*d**3 - d**2*s + d**2 wrt s.\nAnswer: -308*d**3 - d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -3620?\nAnswer: -7\/3620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-9))\/(2\/(-6)). Let g = 8.2 + -10.2. Let h = -1.4 - -1. Which is the nearest to i? (a) 1 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 1. Let m be o(-1). Suppose 0 = q - 0 - 4. List the prime factors of 23\/q + m\/(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from wwrwwlrwwllnwwwl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 42, 62, 82?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362537?\nAnswer: 7, 67, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527976388?\nAnswer: 2, 17, 23, 109, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 111. Let d = q + -44.9977. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:14 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -782820 at most -782829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2425 + 4*b - 10*b**2 + 0*b**2 + 1212 + 0*b + 1210. What is m(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/(-10)*2\/12. What is the nearest to -1\/2 in 5, 1\/5, -4, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 61918*k - 123828.\nAnswer: -2*(k - 30957)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16777 = j + 16775. Solve 4*z - 22 + 12 = -2*l, j*l = z - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 6*l**3 + 5*l**3)*(-1 + 4*l + 2 + 3*l) + 633*l**4 - 307*l**4 + 293*l**4.\nAnswer: 612*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 200202122 (base 3) to base 15\nAnswer: 40be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.9 or 22\/5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -454 - -787. List the prime factors of m.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/7 + 275448*i**2\/7 + 21489507*i\/7 + 419075046\/7.\nAnswer: -(i - 275526)*(i + 39)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-2*i + 3*i + 1 + 0)*(-1312 + 1312 - 1328*i).\nAnswer: 5312*i**2 + 5312*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/42262 and 137\/1778370?\nAnswer: 200955810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1302)\/1890 - (-3)\/(-27).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n - 13. Let x(s) = 5*s - 6. Give -6*v(g) + 13*x(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1122863 and 67\/56.\nAnswer: 8982904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1714 = 2*g - 4*j, -5639 + 1419 = -5*g - 3*j. Calculate the remainder when g is divided by 185.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-15))\/(3 + (-39859)\/11592 + 30\/80).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*b = b + 14, 4*n + 4*b = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6*m + 14 = 8*m, -3*m = 5*k - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 332*n**4 + 26769500*n**3 - 79666416*n**2 - 1935216*n = 0. What is n?\nAnswer: -80634, -2\/83, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21093 is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 786\/4 - 108\/(-72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.362 - 7.6. What is o rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1809.8533 - -1810. Let u = 1.1365 - d. Let s = u - 0.98. What is s rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 + 6*a**4 - 954*a**3 - 11508*a**2 - 48657*a - 67914 = 0 for a.\nAnswer: -7, -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/105 and -149\/1131048.\nAnswer: 39586680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-19 + (-1624)\/(-84)). Does -7\/3347 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 2. Let a(p) = p**2 + 7*p + 2. Let x be a(z). Suppose -4*u + 165 = x*j + j, -2*u - j + 81 = 0. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + k**2 + k**2 + 344*k - 344*k - 2605.\nAnswer: k**2 - 2605","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1051\/512085?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**4 - 10*t**3 + 10*t**2 - 370*t - 1583. Let v(m) = m**4 - 2*m**3 + 2*m**2 + m + 1. Let r(h) = 5*v(h) - z(h). Differentiate r(n) wrt n.\nAnswer: 12*n**3 + 375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 18. Let j = 14 - 14. Suppose 0*x + n*x + 5250 = j. What is x rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.973 - 0.027. Let r(v) = -2*v**3 + 489*v**2 + 239*v + 1475. Let q be r(245). Are g and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4012)\/20 + (-4)\/10. Let u = t - 4. Let v = -84 - u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c - 11*c + 1057 - 8*c - 2*c.\nAnswer: 23*c + 1057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14342 + -14181. Calculate the highest common factor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-81)*3\/(-4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6637 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {w: 1, f: 2, h: 2, q: 2, c: 1, k: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16702?\nAnswer: 2, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l + 1. Calculate i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5\/7 - 972*x**4\/7 - 101922*x**3\/7 - 3112884*x**2\/7 + 36038925*x\/7 - 32823144\/7 = 0. Calculate x.\nAnswer: -111, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10600811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jvzzlvhjjhlnhhhjhl.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 2 o when four letters picked without replacement from wpoyoyonwowoo?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -247 + 607. Calculate the highest common divisor of w and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 4*p - 3)*(-24 + 24 - 183)*(3*p + 3*p + p).\nAnswer: 2562*p**2 + 3843*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1676 + -1674. Solve 0 = i + x + 2, -m*i = -x + 17 - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 8*m**5 + 76*m**4 + 228*m**3 + 224*m**2 + 64*m = 0.\nAnswer: -4, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 + 430. Calculate the common denominator of o\/8*(-12)\/54 and 55\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-112))\/(215\/(-4214))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbbbnnjbbjbnjjcjbt. What is prob of sequence btc?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6314 is divided by 428?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/15, 0 in ascending order.\nAnswer: -4, -2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(14))\/((-3*sqrt(18))\/sqrt(9)))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(-6 + 13 + 10*h - 9*h) in the form k*h + r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*1\/(-4 + 3). Sort -38, -5, u in increasing order.\nAnswer: -38, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2292232, 0, 4.\nAnswer: 0, 4, 2292232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*y + 119*y - 6 - 53*y + (-6 + 6 + 2*y)*(8 - 3 - 1).\nAnswer: 14*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10038162, 10038163, 10038164, 10038165, 10038166, 10038167?\nAnswer: 10038168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 8*g - 7. Suppose 2*t = 6*t + 36. Let m be i(t). Is -4*(m - 1) - -311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -6 + -4 + 4. Let q(x) = 30*x**2 - 6. Let z be q(h). Let i = z + -4184. What is i rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 4*a - 2*d, 5*d = a + 25. Suppose -5*w + 0 + 115 = a. Let b = w - 19. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*q - 47397 - 61341 = -1134*q - 987*q for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 6 in decreasing order.\nAnswer: 6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92340 divided by 9234.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -575, -874, -1189, -1526, -1891, -2290, -2729?\nAnswer: -3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 4. Suppose 3*q - 12 = 0, -2 = 2*x + 2*q - t. Let d be (-4)\/2 - x - (-84)\/40. Which is the closest to 0? (a) -1 (b) 3\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -2006.3\nAnswer: -60189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 22 = -h, h + 4 - 14 = 3*g. Let q be (-3)\/(-9) - 7\/21. Suppose -5*p - 37 + 22 = q. Put p, g, 2 in increasing order.\nAnswer: g, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 0 - (-3 + 8 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 20*h**2 - 29*h - 40. Calculate the least common multiple of o(-19) and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1806 and 9495290.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-110))\/((-8)\/22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749*j**2 + 9*j - 12*j + 3*j.\nAnswer: 749*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*q**2*y**5 - q**2*y + 138*q**2 + 18*q*y**5 + q*y**2 wrt y.\nAnswer: 3540*q**2*y**2 + 1080*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1989 - 1086. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810844 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/48*(-6)\/27*3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 155. Determine k(-20).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*v + 1, -3*v + 0*v - a = 0. Let l = -3 + v. What are the prime factors of 1032\/52 + l\/(-26)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*v + 2*b, -b - 7 = 5*v + 24. Let t(r) = r**3 + 11*r**2 + 8*r - 14. What are the prime factors of t(v)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 9) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*c = 2392 + 773, 0 = -3*i + 2*c + 2379. What is the least common multiple of 45 and i?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 101 = -95. Suppose -3*w - 6 + 1 = -2*p, f*w - 11 = -2*p. Let b(c) = c**2 + 1. What is b(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 2800240477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*x - 14 = 0, 3*h - 2086 = 5*x - 2079 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/44964 and 32\/26229?\nAnswer: 314748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*w + 67*w - 488. What is the second derivative of 127*i**5 - 119*i**5 + w*i + 0*i**4 + i**4 wrt i?\nAnswer: 160*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 36 = 4*w, -2*w + 3*w + 4 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229 + -172. Let y = z - 60. Let j be (1 - -2)\/(6\/(-8)). Put j, y, 6, 5 in increasing order.\nAnswer: j, y, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42804995 to the power of 1\/2, to the nearest integer?\nAnswer: 6543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.16 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 14007?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3225 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*i + 129*i + 4*r = 5, 3*i + 24 = 3*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:55 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-50) - ((-139)\/10 + -2). Let c(v) = -91*v + 34*v - 31*v. Let a be c(-2). Calculate the greatest common factor of a and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*(((-75)\/25)\/3)\/(4\/(-12))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16718647 + -228\nAnswer: -16718875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -33*y + 13 + 229 - 50 - 100*y**2 - 2*y**3 - 55*y - 2*y**3 = 0.\nAnswer: -24, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/56)\/((-1)\/(-4))*(-4)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/395 and 5.8309 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17236, 69097, 155508, 276469, 431980, 622041?\n\"Answer: 17275*v**2 + 36*v - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*s**4 + 10*d*s**2 + s**4 - 2*s**3 + 46*s**2 - s wrt s?\nAnswer: -48*d*s + 24*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -9 in increasing order.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20244857 or 20244858?\nAnswer: 20244858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188447871, -188447873, -188447875?\nAnswer: -188447877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 116.7 + -345615\nAnswer: -345498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182 (base 9) to base 7.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 21. Suppose 0 = -0*k + x*k - 4966. Let v = -1362 + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 3*b**5\/50 - 7*b**4\/3 + 293*b**3\/15 - 18*b**2 + 14*b. Let p(t) = 0. Calculate t.\nAnswer: 1\/3, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1305.8 + -1306. Which is the second smallest value? (a) -87 (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 - 0.2. Let l = h - -1.98. Let d be 15\/(540\/(-16))*(-3)\/(-2). Which is the biggest value? (a) -0.1 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6728 and 12053212.\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 67*y**2 - 139*y - 222. What is the thousands digit of o(59)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.8 and 2.076?\nAnswer: 90.9288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -150, -341, -604, -939, -1346, -1825?\n\"Answer: -36*n**2 - 11*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4019868233.\nAnswer: 4019868233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 5. Let f(o) = 9*o + 7*o - h*o. Let k(g) = g**2 - g - 1. Let x(y) = -8*y**2 + 6*y + 6. Let d(w) = -6*k(w) - x(w). What is d(f(s))?\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20385614?\nAnswer: 2, 3049, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -12. Suppose 4*f - 2*p - m*p = 32, -4*p - 20 = -2*f. Suppose 648 + 180 = f*y. Is 33 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4500\/575)\/(-30) - (-19100)\/920\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15.03. Which is the nearest to -1? (a) -0.3 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.90486733 to two dps.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9262474 to the power of 1\/2, to the nearest integer?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 13*n**3 + 17*n**3 + 2*n**2 + 19*n**3 + 11*n**3 - 62*n**3 as v*n**3 + z*n + t + w*n**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20743 divided by -3.\nAnswer: 20743\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1034*t + 7038 - 3517 - 3519)*(-2*t - 3*t + 6*t) as k*t + w*t**2 + f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*z - 18, 17 = -d + 5*d + 5*z. Suppose d + 1 = 3*p. Suppose 4*t - 9 = p*t + a, 0 = 4*a - 4. Solve t = 3*s + 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*j - 327*j - 30 = g, 1 = -2*g + 5*j - 34 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6603 or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1121 and 2306144?\nAnswer: 136062496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1246, -2473, -3700?\n\"Answer: -1227*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7)*(-112)\/(-42).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 115*z + 4. Let x(j) = 2*j**2 + 111*j + 3. Calculate 4*w(p) - 5*x(p).\nAnswer: 2*p**2 - 95*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6912.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 527869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 2*u + u)*(6*u**2 + 11*u**2 + 4*u**2) + 2*u**2 - 2*u**3 - 2*u**2 + (2 + 1 - 4)*(-4*u**3 + u**3 + 5*u**3).\nAnswer: -46*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*p + 278, -2*p - 286 = -4*x - p. Let b = x + 1. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16350 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9461329.\nAnswer: 9461329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -196218495.\nAnswer: -981092475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -181940 and -359204?\nAnswer: 177264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -124.98232334 and -5.\nAnswer: -129.98232334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -3, -6, -15, -30?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/(-20))\/((-3)\/(-464)). Let h be (-2)\/5 + o\/(-5). What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/99 and -79\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o + 1. Let n be l(9). Suppose 8*d - n + 23 = 0. Solve -x = d*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.912513 centuries to months.\nAnswer: 9495.0156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -48. Let m be (6\/4)\/h*(2 + 6). Which is the nearest to 0.1? (a) m (b) 0.1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 52. Let i = 109 + p. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*p + 147*p + 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(128)*-1 - sqrt(128)) - (sqrt(128) + 3*(1 + sqrt(128))))**2 + (-1*sqrt(128) + 5 - (sqrt(128) + ((sqrt(128) + 1)*4 + sqrt(128))**2)).\nAnswer: -336*sqrt(2) + 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aziia. Give prob of picking 2 i and 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -3*u. Let l be (1 - 241)*-2*5\/10. Suppose 11*i = 101 + l. Solve -d = -5, a + 3*d - i = -u*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179987 and 84094?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -44, 3 in decreasing order.\nAnswer: 3, 0, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 29 = 5*i. Factor -95 - 3*n**4 - i*n**3 - 3*n**2 + 95.\nAnswer: -3*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 7*u = 3*p + 14, -2*p - 13 = -3*u. Let z(o) = o + 1. Let f(k) = 11*k + 5. Let j(c) = -f(c) + 6*z(c). What is j(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1056\/21 + (-4)\/14. Suppose -5*c = w - q, -3*w - 40 = -6*c + 2*c. Let m = 1953\/181 - -9\/905. Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by -51983.\nAnswer: 504\/51983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*r*x**3 + 212*r*x**2 - 9*r*x + 8*r - 1014*x**3 + 58954*x wrt r.\nAnswer: -90*x**3 + 212*x**2 - 9*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1206154 (base 8) to base 11.\nAnswer: -206642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.866271 weeks to minutes.\nAnswer: 49052.01168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 - -1 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -106, -105, -108, -115?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*z + 80. Suppose 2*x = -8 + z. Suppose x*u = -4*o - 0*u + 215, u = -3. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 3)*(-5*t - 4*t - t).\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8\/z**(2\/11))\/(z**(-1)*z)**(-32))**(1\/4) assuming z is positive.\nAnswer: z**(43\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 2, a: 1, d: 4}. Give prob of sequence dddm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25790 or 25789?\nAnswer: 25789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/17 + 2*v**3\/17 - 20*v**2\/17 + 16*v\/17.\nAnswer: 2*v*(v - 2)*(v - 1)*(v + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in -0.5, -0.617, 4, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13\/(-39))\/(5\/(-15)))\/((-36)\/4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2323198 at most as big as -2323195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46427543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, 0.01, -2, -2\/9 in decreasing order.\nAnswer: 0.01, -2\/9, -4\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-4)\/(-10))\/((-27)\/15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 215, 218?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*y + 490673 + 228991. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(75\/2)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3408*c**2 + 19*c + 19. Let b(p) = -4*p - 4. What is -10*b(v) - 2*n(v)?\nAnswer: 6816*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p = 51*p - 4. Suppose p*w + 6 = 12. What is the smallest value in -0.4, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4477 - 2444. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20029 divided by -31?\nAnswer: -20029\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from zmzzqzzzqqdzzmdqzzdq?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 9*n + 5. What is y(8)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406914 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 7*j - 42. Let v be z(9). Let q be v\/112*21\/(-18). Let q*o**2 + 3\/4 - o = 0. Calculate o.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4 = -q - 44, 3*c - 62691*q + 62688*q = 60 - 24 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2\/11, 5201, -0.5 in decreasing order.\nAnswer: 5201, -0.08, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2\/7 - 5564*p\/7 - 1432344\/7 = 0.\nAnswer: -222, 1613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434 - 2531 = -227*s - 54 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2*a**6\/3 + 44*a**5\/5 + 39*a**4 + 244*a**3\/3 + 88*a**2 + 48*a + 641. Solve i(t) = 0 for t.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 196 = -3*p. Suppose p = 5*v - 3*t, -2*t + 2 = 4*v - 3*v. Let r = v + -7. What is the smallest common multiple of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3152 and 28.\nAnswer: 22064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -700928*n**4 - 7011648*n**3 - 17546882*n**2 - 59220*n - 50 = 0?\nAnswer: -5, -1\/592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 116*i**3 + 19*i**2 + 8*i - 17. Is q(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 10. Let g be v(6). Suppose -b + 3499 = g*s + s, 0 = 4*b + 5*s - 14010. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/251, 3\/17, 0.03, 3 in increasing order.\nAnswer: -2\/251, 0.03, 3\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 2*a. Let q be s(0). Suppose m + m - 22 = q. Let x = -934 + 939. Solve -t = -5*p - m, 5*t = -x*p - 0*p - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 154 = -31. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025631825 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143388983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -i + 3*d, -2*d + 0*d = 5*i + 4. Let s be ((-4)\/(-2))\/(i\/(-13)). Let m = -2 + s. What is the third biggest value in m, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jecj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/11)\/((-6)\/(-690)). Let z = f + 325\/44. Let i = -39 + z. Which is the closest to -0.6? (a) 1 (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/2*(-2)\/2. Let p = -11676 - -11686. Solve -p*g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8643772, 17287523, 25931268, 34575013, 43218764, 51862527, 60506308?\nAnswer: 69150113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 7*x**2 - 10*x - 11. Let n be i(-8). Solve -n*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-25) + (-27)\/(-5). Suppose 2*h - 73 = -2*h + 3*o, -43 = -2*h - n*o. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**3 - 375*f**2 + 34573*f - 132475. Let t(n) = -n**3 + n**2 + n - 3. Let c(k) = -5*a(k) - 35*t(k). Find i, given that c(i) = 0.\nAnswer: 4, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 525 + -523. Suppose -d*s = -12*s + 4820. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97488329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.531*20\nAnswer: 10.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.2081ug to milligrams.\nAnswer: 0.7252081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2685*p**2 + 8140*p**2 - 2685*p**2 - 2729*p**2.\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 8*x**2 - 6*x - 2. What is q(9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of ((-1468136)\/395)\/((-5)\/25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-1443))\/(78952\/(-20572))?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14080.4 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-15))\/(14\/35).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -437*g**4 + 1110*g**2 wrt g.\nAnswer: -10488*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -37, 1, 16, 2.\nAnswer: -37, 1, 2, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 10*g**2 + 8*g - 1. Let t(u) = 3*u + 9. Let z be t(-6). Let j be m(z). Suppose j*a = 4*a. Solve a*k - 5*k - 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 248*c + 41. What is the remainder when q(1) is divided by 2086\/70 - (-8)\/(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1, 0, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3311198 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (1 - (6 - 11))) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 + 2*c + 1. Let h be p(-1). Solve -15 = h*o + 3*j, -3*o - j = 4 + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 8*p - 102. Let v be a(-15). Let d be (-1)\/(-1)*(-1 - -1). Solve -v = -4*b - x - d, -4*b = 4*x + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 25 = 5*f, 3*f - 17 = -j - 2. Suppose j*b = 4*d + 3*b - 17, -4*b + 12 = 0. Calculate the remainder when (d*32)\/((-6)\/(-6)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13576 + 31877. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1241*d = 1275*d - 1564. Solve 13*a - 177 = -d*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*-1*1\/(-2). Suppose -4*c - c = -25. Let p = 5 - c. Solve -s - h = p, i = -s - 0*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 353 = -3*y + 4*x, -5*y + 341 = -2*x. Suppose m + y = -5*o + 3*m, -o + 3*m = 6. What is the units digit of (o\/(-6) + -2)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/(1160\/(-118001)) + (-10)\/8 is divided by 162?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -2, -40, -17\/15.\nAnswer: -40, -2, -17\/15, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005389 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 22*s**2 + 22*s + 30. Determine v(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and 1.7.\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, a: 1, x: 3, g: 6}. Give prob of sequence xagi.\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 807 + l**3 - 376 - 431 - 1493*l in the form n*l + a + v*l**3 + p*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:25 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51635505613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -521 - -507 - (2 + (0 - 0) + -35).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2436 and (-15105)\/(-24244) + (7 - 207\/27)?\nAnswer: 26796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10338.95 and 108.\nAnswer: 10446.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 52*f - 575. Calculate the remainder when s(23) is divided by 154.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10 = -2*y - 34, 5*p + 44 = -2*y. Let x = y - -44. Suppose 7 = 4*m - 1. Calculate the greatest common factor of x and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2 = m, m - f - 6 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22712, 22713, 22714, 22715?\n\"Answer: k + 22711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5814\/(-357))\/((-3510)\/(-910))?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.111762 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/5 + 64*t**2\/5 + 114*t\/5 - 36 = 0?\nAnswer: -30, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (((sqrt(2448) + sqrt(2448) + 4*sqrt(2448))*-3 + 5*(sqrt(2448) - (sqrt(2448) + 4)))*4)**2.\nAnswer: 138240*sqrt(17) + 12696832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2422*o**2. Let m(a) = 328150*a**2. What is m(h(g))?\nAnswer: 1924955464600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - 63*s**3 - s**2 - 10*s**3 - 2*s**3 + 0*s**2 + 0*s**2 + (1 - 1 + s**2)*(0 - 3*s + 0) - 2*s**3 - s**2 + s**2 + 2*s**3 + 2*s**3 - 2*s**3.\nAnswer: -78*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2035516 and 581576?\nAnswer: 4071032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1139169 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1791 (c) 0.5 (d) 2 (e) 8 (f) -0.1 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -909 + 913. Solve 12 = k*g - 3*d, 2*g - d - 8 = d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z + 13 = -58*z. Are -1\/7 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 14 = 11*r. Let j be -4 + r\/(42\/104). Let c = j + -15. Is -2 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(104) - sqrt(104)*-1)*5)\/(4*(sqrt(968) + (-4*sqrt(968)*3 - sqrt(968)))).\nAnswer: -5*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 18. Let s be c(0). Let v = s - 16. Find the second derivative of i**2 - 3*i**v + 5*i - 8*i - 2*i**2 wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -434?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 0*g**3 - 3*g**2 - g**3 + 6*g - 5*g + 9 - 13. What is l(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40957 rounded to the nearest one hundred?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23474*z + 220 = -23484*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) -0.259 (d) -67.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from cqqvqcvqcqvcvqc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*j - 3, 0 = 4*n - 16. Suppose -3*r = 3*d - 9 - j, -2*d = r - 5. Let t(y) = -11*y - 10*y + 18*y. Determine t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 14*g + 9*g = -171 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18) - -1)\/(20\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8)*16\/(-42). Suppose -3*p = -12 - 0. Let k be p\/(40\/(-2))*-2. Which is the closest to -0.2? (a) m (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211 + -192.3. Let t = i - 10.7. What is the second smallest value in 5\/2, t, -4\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d**2 + 43*d + 4. Let b(t) = 54*t + 8. Determine b(a(r)).\nAnswer: -594*r**2 + 2322*r + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1061 - 47. Is 39 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04982690825 rounded to three decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-4 - -18)) + -1 + -22.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*4 + sqrt(121))\/sqrt(11) + 4.\nAnswer: 4 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9883, 19, 2, 5\/8?\nAnswer: 9883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3216160991.\nAnswer: 41, 1327, 59113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -4c25?\nAnswer: -4c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 143705 times -0.3\nAnswer: -43111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 - 7\/9*k**2 + 70*k + 2\/27*k**4 - k**3. What is b in q(b) = 0?\nAnswer: -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 36, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.19 * 5.3.\nAnswer: -22.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (421 - 442) + (4 + 1 - -92).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -13 + (-5 - -13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 706.4639 centimeters?\nAnswer: 7064639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -130*r**2 - 17*r + 47. Let m(w) = 107*w**2 + 14*w - 39. Let y(k) = 17*m(k) + 14*p(k). Let o(a) = a**3 + a - 1. What is -2*o(l) - y(l)?\nAnswer: -2*l**3 + l**2 - 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 - 2*m + 5. Let u(q) = -8*q**2 + 6*q - 16. Give 10*f(l) + 3*u(l).\nAnswer: 6*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -813898.7 to the nearest 1000.\nAnswer: -814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + i + 2 + 2)*(-406 - 391 + 12959*i + 797).\nAnswer: 12959*i**2 + 12959*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 19*d - 17. Let o be q(-20). Let r(w) be the first derivative of -2*w**2 - 6 + 0*w**4 + 2*w**o + 0*w - 2\/5*w**5. Factor r(b).\nAnswer: -2*b*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32991 by 9.\nAnswer: 10997\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = 11. Suppose -18 + 4 = -2*c + 2*p, 0 = -2*c - a*p - 11. Let g be c\/10 + (-534)\/(-30). Solve 0 = -5*t + t + 2*h, -5*h = -t + g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 - 2*k - 1. Let u be x(-2). Let i(b) = 2*b - 11*b**u - 3*b + 1 - 2. What are the prime factors of i(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/12 + 2*u**3\/3 + 3*u**2. Let h be z(0). Suppose -b + h*b = 54. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 7*j - 10. Let y be h(8). Let f be ((-25)\/10)\/(1\/y). Put f, 3, 1 in decreasing order.\nAnswer: f, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 10*g**2 - 7*g - 8. Suppose -p = -4*s - 5, -4*p - 2*s + 6*s + 8 = 0. Let v be (-16)\/(-6)*(p + 2). Is 13 a factor of h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = -47 + 13. What is the second smallest value in 7, -3\/7, c, -2\/9, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 12) in base 16?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*c - 3 + (2 - 2 - 2)*(-c - 3*c + 2*c) - c + 2*c + 0*c + c + 11*c - c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = -90*l + 105*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**17*a\/(a*a**(-8\/7)*a)*(((a\/(a\/a**11))\/a)\/a)\/a*a*a*a*a**15 assuming a is positive.\nAnswer: a**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, c: 14}. What is prob of sequence hcc?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.009189544+0.4\nAnswer: 0.409189544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/12*(-2)\/14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(sqrt(84) - sqrt(84)*-3)*1)\/(sqrt(24)\/sqrt(2)*-6 - (sqrt(108)*2 + sqrt(108))).\nAnswer: 16*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)\/z**(-6\/11))\/(z\/(z*(z*z\/((z*z**(-3\/2))\/z))\/z)*z*z**(-2\/5)) assuming z is positive.\nAnswer: z**(1663\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 2*w**3 - w**3 - 2)*(83*w**2 + 4420*w - 4420*w).\nAnswer: 166*w**5 - 166*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -123, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200186 (base 9) in base 16?\nAnswer: 1cdf1","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbl when three letters picked without replacement from {b: 2, l: 11, o: 1}?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3))**10\/((b*b**3)\/(b**0*b)))**(-26) assuming b is positive.\nAnswer: b**(494\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*b - 15 = -284*b. Let i(o) be the first derivative of 4\/5*o**5 + 3\/4*o**4 - 5\/3*o**b + 4 + o - 3\/2*o**2. Factor i(s).\nAnswer: (s - 1)*(s + 1)**2*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/33 in -0.194, -6, -0.3?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5257*q - 7. Let g(k) = -k**2. Determine g(x(s)).\nAnswer: -27636049*s**2 + 73598*s - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.29.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 438 and 2387727.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -15\/7, -2, 1414 in decreasing order.\nAnswer: 1414, 5\/4, -2, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4))**(4\/3) assuming y is positive.\nAnswer: y**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 189*l**2 + 194*l - 672. What is o(190)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.047 >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x = -98*x + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144342 + 266344. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8703\/8 - 1088. Let k = -2.3 + 0.3. Which is the third smallest value? (a) 0 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455 is divided by 233.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 (base 14) in base 15?\nAnswer: 24e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 396 = 53*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 859027968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104, -106, -108?\n\"Answer: -2*q - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*j**3*u + 66*j**3 + 4*j**2*u**2 - 2*j**2*u - j with respect to u.\nAnswer: 9*j**3 + 8*j**2*u - 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59702678 a multiple of 2549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -735 + 771. Is w at least as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131563 and 6035.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1394382 and 9546?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (0 + -15 + -8 + 5) - 13?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.09 times -0.3?\nAnswer: 0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*r + 3*v, -2*r - 2*r + 5*v = 3 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336 + 341. Let h = -13.8 + -1.2. Let w = h - -14.5. What is the nearest to j in -2\/7, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 439 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 4*v - 3. Let h(j) = -j**2 + j + 1. Let p(o) = -5*o + 15. Let g be p(4). Calculate g*h(k) - c(k).\nAnswer: 4*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + -2 + (-1 + sqrt(2448))*4 + (sqrt(2448) + (sqrt(2448) + (sqrt(2448) + 0)*-6 - sqrt(2448)) + sqrt(2448))**2 + 3)*4.\nAnswer: 192*sqrt(17) + 156684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 67752*t - 67751*t + 0 + 1 + 79*t**2 + 5*t**4 to the form z + o*t**4 + c*t + x*t**3 + p*t**2 and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 189, 0.6, -0.4, -1\/2 in decreasing order.\nAnswer: 189, 5, 2, 0.6, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {u: 1, w: 1, y: 1, d: 6, p: 1, j: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 748645. Let m(i) = -3*i. Determine r(m(x)).\nAnswer: -3*x + 748645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-12)*8\/3. Let k be 6\/9 - 8\/o. Let m(j) = -485 + 485 + j**k. Let i(h) = 2*h**2 - h - 2. What is i(n) - 3*m(n)?\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/2, 3, 3933, -35, -1\/8?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 440*r - 872. Calculate m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k + 183. Let l = -419 + 396. Does 11 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1)*(4 + 12*28). Is h greater than 678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -29 - 11. Let k be ((-11)\/(-2))\/(28\/q - -4). Solve 4*v = -f + k, -5*f = 6*v - 3*v - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 5*y + 2. Let i be w(-4). Let k = 1 + 0. Let g be -2 + ((-5)\/i - k). What is the second smallest value in g, 4, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.8 times 45\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2889b9c + -3?\nAnswer: 2889b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*c - c. Suppose -5*i + 5 = -0*q - q, 2*i + 2*q + 10 = c. Let o(b) = 10*b**2 + 0 - b**2 + i. Let l(m) = 2*m**2. Calculate o(l(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(2)*4*1 + sqrt(5600) + sqrt(5600)*-2*-2)\/(-6*(sqrt(648) - (sqrt(648)*-1 - sqrt(648)) - sqrt(48)\/(-2*sqrt(6)))*-4).\nAnswer: 9*sqrt(7)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 0*n + n - 1 - 3*n + 1 + (-2*n - 3*n + 3*n)*(-1 + 1 + 1) + 0 - 2*n + 0 + 99*n - 151 + 151.\nAnswer: 89*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2097*z + 25*z - 27*z + 11 - 11 + (-4 + 1 + 1)*(-2*z + 1 - 1).\nAnswer: 2099*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 + 4*u - 6. Suppose -k = 3*f + 13, 3*f + 0*k + 9 = -3*k. Let t(i) = 2*i**3 + i**2 + 5*i - 7. Calculate f*c(a) + 4*t(a).\nAnswer: 3*a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.5254ml to litres.\nAnswer: 0.5855254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/960*3\/(-14). Let p(m) be the second derivative of 0*m**3 + 0*m**6 + 2*m - 1\/168*m**7 + 0*m**4 + g*m**5 + 0 + 0*m**2. Find i such that p(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -z - 21*j + 146, -3*z + j = -438. Suppose 135*v = z*v. Which is smaller: 9\/53 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395049+4\nAnswer: 395053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let n be 2 - (t + (-3 - -3)). Let -2\/3*z**n + 0 + 4\/3*z**2 - 2\/3*z = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2 - 201\/(-174). Let q = w + 146\/87. What is the third biggest value in -5, q, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -22*o - 56 - 63 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -279*c**3 + 10*c**2 + c - 5. Let p(f) = 2*f**2 - 1. Determine -d(l) + 5*p(l).\nAnswer: 279*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000022034 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*d**4 - 737*d**4 - 83*d**2 + 169*d**4 wrt d?\nAnswer: -11784*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6178 is divided by 6174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/511 and 79\/142058?\nAnswer: 142058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(832)*5)**2 + -4*(3 + 4*sqrt(13))**2.\nAnswer: -96*sqrt(13) + 19927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 446, 1178, 2204, 3524?\nAnswer: 5138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2. Let r(s) be the third derivative of 11*s**6\/360 + 8*s**3\/3 + 2*s**2 - 8*s. Let n(z) be the first derivative of r(z). Give o(n(k)).\nAnswer: 484*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-105) - 8\/2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**9\/1296 - d**8\/315 - 11*d**7\/2520 - d**6\/540 - 2*d**3\/3 - 10. Let p(i) be the third derivative of a(i). Factor p(f).\nAnswer: -f**2*(f + 1)**2*(7*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3381600468.\nAnswer: 2, 3, 19, 14831581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 4*o**2 - 2*o + 3. Let w(m) = -4*m**2 + 41*m - 44. Let z be w(9). Let t(s) = -s**2 - s. Calculate z*c(l) - 2*t(l).\nAnswer: -l**3 - 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37126.\nAnswer: 2, 19, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 23776*a**3 - 141348317*a**2 + 282601538*a = 0 for a.\nAnswer: 0, 2, 11887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797913 (base 15) to base 14.\nAnswer: aac818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + -3 + sqrt(19) + (sqrt(19) - sqrt(19)*3) + (sqrt(152)*-1)\/sqrt(8))*-4.\nAnswer: -12 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojooormojromobororo. What is prob of sequence jjr?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 + 4*k + 4. Let g be -9*((-33)\/9)\/1. Let s(l) = 9*l**3 + 33*l**2 - 33*l - 33. Determine g*x(t) + 4*s(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (308\/1540)\/((-1)\/(-9)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 48, 88, 144, 216, 304, 408?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 444*s + 2 + 1035*s + 7*s**3 + 1276*s + 2.\nAnswer: s**3 + 1867*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y**2 - 1. Let s be k(4). Let j be (s + (3 - 4))*(-207)\/6. Let r = 102 - j. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685957284 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 8. Suppose t + 15 = 5*f - 3*t, -y*f - 2*t + 15 = 0. Let d(u) = 2*u - 3. What is the remainder when 5 is divided by d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2311\/688 - 53\/16. Let d = 166\/129 + v. Factor -2\/3 + 1\/3*f**3 + 5\/3*f - d*f**2.\nAnswer: (f - 2)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**2 - 26*i + 1388. What is p(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*33\/(-48))\/(306\/2448)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -96*m + 0*m**2 - 42 + 140*m - 5*m**2 + 3*m**2 = 0?\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.34, 0.16, 3, -82?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**8\/1344 - q**7\/280 - q**6\/480 + q**5\/80 + q**4\/48 + 12*q**2. Find c, given that v(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.718 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 t, and 1 r when four letters picked without replacement from {t: 1, r: 3, u: 3, z: 2, c: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 - 296*j + 7080 = 0. What is j?\nAnswer: 30, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*j + 190*j - j**2 - 41*j + 0*j**2 - 52*j - 34*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -11. What is the remainder when 19 is divided by (-11)\/2*q\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 + 1 + k**3 + 5*k + 2*k - 2*k. Suppose -4*j + 5*w + 61 = 0, j + 3*w + 4 = -2. Calculate the remainder when q(5) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 57*a**2 + 4*a + 23. Let w(x) = 85*x**2 + 6*x + 36. What is -7*o(k) + 5*w(k)?\nAnswer: 26*k**2 + 2*k + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + 2 - (100 + -113) - 15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*d = 30 + 18, 0 = -2*z - d + 50. Let w be (380\/(-138) - 8\/(-92))\/z. Suppose x + 2*x = -3. Is x > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 4\/((-8)\/18). Suppose -a*k + 3*k = -60. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100741196 rounded to 6 decimal places?\nAnswer: -0.001007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -33. Which is the second biggest value? (a) 2 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00107204 rounded to six decimal places?\nAnswer: 0.001072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5990*z**4 + 3965*z?\nAnswer: 71880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 y when three letters picked without replacement from {z: 3, y: 1, c: 1, t: 2, p: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(1\/6*-27).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 6*q - 142. What is r(8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -7*p**5\/20 - p**4\/12 - 4*p. What is the third derivative of h(o) wrt o?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1670 and -35\/116.\nAnswer: 96860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 6*n**2 + 3*n**2)*(2*n**2 + 0*n**2 + n**2)*(829*n - 323*n + 213*n).\nAnswer: 25884*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**3 - 3*y - 44. Let z(c) = 10*c**3 - 4*c - 44. Give -5*s(p) + 4*z(p).\nAnswer: -5*p**3 - p + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195496388 divided by 3778.\nAnswer: 51746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5 + 404*m**4 + 466*m**3 - 12180*m**2 = 0.\nAnswer: -6, 0, 5, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 0*d + (0 - 1 + 2)*(-4 + 4 + 4*d))*(-11*d + 10*d + 18*d)*((0 - 1 + 2)*(-1 + 1 + 2) + 2 + 1 - 2).\nAnswer: 153*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + v**2 - 1. Let k be s(-1). Let f be k\/(-8) - ((-162)\/40)\/9. Sort f, 10, 0.1.\nAnswer: 0.1, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2268, 3395, 4522, 5649?\n\"Answer: 1127*x + 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*z - 132 - 50, 3*z - g = 251. Suppose -z = 4*n - 301. Calculate the remainder when n is divided by (-9)\/(-21) - (-134)\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = -q, -2 = -2*l + 2*q. Let c = -0.0223 + 0.2023. What is the closest to c in 3\/4, l, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.1197305?\nAnswer: 0.1197305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010041104 times 7?\nAnswer: 0.070287728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:05 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160280 and 259920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 7*z**2 + z - 8. Let x = -6894 - -6887. Determine y(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + 18\/5. Suppose 0*d + p*d + 5*z = 25, -2*d = z - 17. Suppose d*s - 3*s - 686 = 0. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.59724705 rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*i + 125, 0 = 3*i - 0*q + q - 85. Suppose -6 = 2*k + 6*d - 2*d, -5*k + 5*d + i = 0. Differentiate -4*g + 7*g - k - 4*g wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271581.4607 + 202477.5355. Let n = u + -474104. Let c = 45 + n. Round c to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91945 is divided by 2041.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -15, 1, 2 in descending order.\nAnswer: 3, 2, 1, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**2 - 6*u**2 + 2*u**2 - 2*u**2 + u wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 932 and 2796?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -5, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153)*-1 + sqrt(153) + sqrt(153))))))*3 - sqrt(153)*-2*5)\/(sqrt(225)*-5*1).\nAnswer: -4*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*((sqrt(264) - 1*sqrt(264)) + sqrt(264)))\/sqrt(11))\/(sqrt(48)\/(sqrt(6)*-1) - 5*(sqrt(24)\/sqrt(3) + sqrt(8))))**2.\nAnswer: 108\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**3 - 32 + 2*k - 12*k + 6*k**3 + 2*k**2 + 10*k in the form r*k**3 + o*k**2 + p*k + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524, 6, -5, -2, 30, 1.\nAnswer: -5, -2, 1, 6, 30, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -a78 (base 14) in base 2?\nAnswer: -100000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beffnfxbegxff. What is prob of picking 2 f and 1 x?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6*r = -0*j + 270, 5*r + 292 = 3*j. Calculate the remainder when 225 is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*12\/112.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 3. Let g be n(2). Suppose -5*m = -4*m + 4. Let r be (-18)\/(-4)*m\/3. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-4*l**3 - 2*l**3 + 5*l**3) + (l + 2*l - 2*l)*(-3*l - 2*l**2 + 3*l) + 2*l**3 - 2*l**3 + l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/5 (b) 1 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(19)*1 + sqrt(228)\/(sqrt(144)\/(sqrt(12)*-1)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 0*o**3 + o**3)*(-o**2 - 2*o**2 + 5*o**2 + (-44 - 69 + 39)*(o**2 - 2*o**2 + 2*o**2)).\nAnswer: -72*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 23*a - 109. Calculate the remainder when 103 is divided by n(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -0*c. Suppose 0 = c*g - 0*g. What is the second derivative of 0*l**5 + 0*l + g*l + 3*l - 3*l**5 wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909.9 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423666 is divided by 423661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.284 * -18601.\nAnswer: -5282.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -672 - -677. Sort 525, -5, m in decreasing order.\nAnswer: 525, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*f + 2, -3*x - 3 = 3*f + 9. Let p(u) = u**2. Let l(q) = q**2 + q. Let d(m) = l(m) + p(m). What is d(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1252 - 8730\/7. Suppose 2*u = -u + 6. What is the common denominator of u\/34*5 - 0 and c?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 5, 49544\/13 in ascending order.\nAnswer: -4, -0.3, 5, 49544\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 679 divide 8967734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/343)\/((-12)\/24).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4956522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 - 27853*p**2 + 94881*p wrt p.\nAnswer: -6*p - 55706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237360 is divided by 65039.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2147576 and -61\/2589724.\nAnswer: 88050616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6586276 is divided by 642.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*o**2*u**2 + 5*j**3*u + 68*j*o**2*u**2 - j*o**2 - j*o*u - 2*j*u**2 + 3*j wrt u.\nAnswer: 4*j**3*o**2 + 136*j*o**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7079503*0.2\nAnswer: 1415900.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33621648 divided by -136.\nAnswer: -247218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -31. Are y and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygs when three letters picked without replacement from ksgzy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -3.043, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffnnffffffn. Give prob of picking 4 f.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*o - 11. Suppose 0 = o*w - 0*w - 36. Solve -p + w = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 26. List the prime factors of q(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25862171400 take away 8.64?\nAnswer: -25862171408.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 864 and 6273288.\nAnswer: 25093152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24\/35 + -2\/5. Let h = -3.4 + 3. Sort q, -1, h in descending order.\nAnswer: q, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 + 3095 - 96*b**2 + 29*b**2 - 3097 - 54*b**2 to the form j*b**2 + v + u*b**3 + m*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 - 143. Suppose -5*w - 69 = -3*p - 2*w, 2*p - 40 = d*w. Calculate the highest common factor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 12. Is u < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4 + 2372*i**3 + 575618*i**2 - 78889152*i = 0.\nAnswer: -641, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 18*(-8)\/12)\/(20\/(-370)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.15111 days to minutes.\nAnswer: 129817.5984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 3*b**2 + 6*b - 57. What is d(7)?\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 3738485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1295, -2, 0.\nAnswer: -1295, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*156\/(-18)*18\/(-162)*-1*3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (-3*(-1*sqrt(85) - sqrt(85)) - sqrt(85)) + (sqrt(85)*-2 - sqrt(85))*3)\/((sqrt(240)*-3)\/sqrt(3))*6.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40955*j - 40956*j + 163818*j - 40947*j - 40956*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -68, -72, -76, -80, -84?\n\"Answer: -4*p - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and -0.16?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 90 = -219 - 219. What is the nearest to t in 2\/11, -2\/11, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 - (-31 - -23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4\/11 + 6*o**3 + 334*o**2\/11 + 456*o\/11 - 320\/11 = 0. What is o?\nAnswer: -8, -5, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -23*k**4 + 5*k**3 - 8*k**2 + 5*k - 5. Let n(u) = -u**4 + u**3 - u**2 + u - 1. Let r(h) = -5*n(h) + x(h). What is the third derivative of r(g) wrt g?\nAnswer: -432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/20 - 0 - (-6)\/(-15). Suppose -m - 3*c + 0*c + 36 = 0, -j*m + c + 79 = 0. Calculate the remainder when m is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 77215*d. Let h(r) = 3*r**2. Give h(b(f)).\nAnswer: 17886468675*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000111 + -1110010?\nAnswer: -1001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2891.\nAnswer: 2\/2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (-5 - (3 + -12 + -8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 + 2*b**2 - b. Let o be n(1). Suppose -3*q = 5*k - 55, 0 = -4*q + o*k + 19 - 4. Calculate the remainder when 18 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135.1 + -135.2793. Let b = -0.18 - g. Round b to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, -10, 3\/4, -198, -2\/7 in descending order.\nAnswer: 5, 3\/4, -2\/7, -10, -20, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 - 23*a + 18. Let u(i) = -2*i**2 + 8*i - 6. Let t(v) = -3*d(v) - 8*u(v). Let r be 2*(-1)\/((-2)\/(-7)). What are the prime factors of t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25778586991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + (-90)\/21 + (-708)\/21 and -29\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -o + 7, 5*q - 3*o + 7 = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -0.2 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1317 (c) 100\/11 (d) -2\/13 (e) 3 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*l, q + 4*q - 4*l + 45 = 0. Suppose 0 = -k + 4, -1 = -2*z + 4*k - 7. Put -4, z, q in descending order.\nAnswer: z, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-15))\/(3\/180). Suppose -y = 3*c + 76, c = y - 0*y - j. Let u = 44 + c. 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 tens digit of 3004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167517 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2044*-13.5.\nAnswer: 27594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559186493?\nAnswer: 559186493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:33 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8\/24*3\/30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -12*i - 1. Let c be s(-2). Let j = c + 7. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -131*k + 125*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 532. Let f(t) = -109*t. Determine r(f(j)).\nAnswer: 23762*j**2 - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2\/81369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.647g in micrograms?\nAnswer: 787647000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/3*-2 - -4. Factor 32*l - 74*l + 8*l**2 + l**3 - i*l**3 + 34*l.\nAnswer: -2*l*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3) + 10 + -5 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 13*q - 6. What is u(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/2393528 and 41\/217212666.\nAnswer: 868850664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*r - 6 - 74, 3*h - 10*r + r + 64 = -13*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9054 * 1\nAnswer: 9054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 99\/22)*(-4)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 665 and 1925?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2849 divided by 691.\nAnswer: -2849\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 14 = 2*z, 176*l - 171*l + 25 = -5*z. Sort 2, -6, 4, l, 3 in increasing order.\nAnswer: -6, l, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -65\/2. Suppose n = 2*n + 2. Let f be n\/7 - (-4)\/14. Which is greater: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - a**2 + 26*a + 28. Suppose -105 = 12*j - 93. Let o be m(j). Suppose 4*i + 36 = 5*x + 7, 3 = -3*i. Solve 0 = o*b - x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((684\/738)\/(-19))\/((-8)\/8).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1)*g)*g*g)\/(g*g*g*g**(-1\/18)*g)*(g\/((g**(-1\/15)\/g)\/g))\/(g*g**(-2)) assuming g is positive.\nAnswer: g**(191\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -436*x + 438*x - 140. What is the remainder when 415 is divided by x?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25976915 to the nearest integer?\nAnswer: 5097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 58. Let h = 33 - l. Let u(f) = -2*f**2 + 5*f - 1. What is u(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3506030 (base 7) to base 4\nAnswer: 1223030111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 880\/148 + (-1694)\/(-31339)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/12951?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 17874.37 and 2713031.\nAnswer: 2730905.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -95148609\nAnswer: -1\/31716203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18.5 and 453.5054236?\nAnswer: 435.0054236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2631 - 772. What are the prime factors of x?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7213.11915+0.2\nAnswer: -7212.91915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (164 - (-75 + 174)) + -40\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 5*q**4 + 4*q**5 - 464 + 616 - 3*q**5. Let v(n) = 0. Calculate n.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let n(j) = 25*j**2 + 4. Let k(d) = d**2 + 1. Let u(x) = -2*k(x) + n(x). Give v(u(m)).\nAnswer: 23*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*356\/1869*(0 - -7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14))\/((-9)\/(63\/2))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13462 and 5459.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-1340)\/(-36) + (-2)\/9. Determine j, given that -18*j**2 + 16*j - 16*j**3 + n*j**2 - 12 - 14*j**2 + 4*j**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 - 3. Let k = -4398 - -4395. Which is the nearest to u? (a) 0.3 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:42 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/9425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1364 + -120227?\nAnswer: -121602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717208 is divided by 789.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmp when three letters picked without replacement from ccccccpmf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*t + 5, -3*t = 2*t + w - 5. Let s(h) be the second derivative of 3*h + 0 + 1\/2*h**2 - h**3. Give s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -81*g - 45. Let j be w(-3). Let r = 213 - j. Solve -4*y - 20 = 2*k - k, 3*y + r = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -47, -103, -181?\n\"Answer: -11*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137194 + 200683. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185\/2614 - -47704\/424775. Find the common denominator of -91\/300 and h.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(637) + sqrt(637))*4 + (sqrt(637) - (sqrt(637) - (3 + sqrt(637) - sqrt(637)))*4) + -1 + 0 + sqrt(637) + sqrt(637) + 0 + 4)**2.\nAnswer: 2310*sqrt(13) + 77301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 2:21 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 + (-178)\/(-9). Solve k - 5*k + n = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*m - 8 = 19, -4*x = -2*m + 14. Let g(i) = -4 + 2 + 3 + 2*i. What is g(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.4, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 142 = -4*v, 4*v - 333 + 107 = 5*t. Let w be 93\/t + (10\/4 - 1). Suppose 10 = 5*q + 2*y, -2*q - 5*y + y = -20. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w - 6. What is d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 824274?\nAnswer: 5769918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 746120 and 5520?\nAnswer: 4476720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -6 - 19. Let j = 15 - w. Suppose 5*m + 4*x - x = 94, 2*x = 3*m - 64. Calculate the highest common factor of j and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = -3*f + 89, 2*f + 994 = -3*l + 1015 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 9 = 3*x, 3*x - 12 = -0*d + 3*d. Let g be (-1 + x)\/(-1 - -3). Solve -4*p - 2*z = g, -2*p + 3*z = -6*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 3*v + 4. Let j be t(-4). Suppose -5*l = -j*l. Let u = l - -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 k be 27\/(6*(-2)\/(-32)*4). Let q(j) = 4*j**3 - 2*j**2. Let o(p) = -17*p**3 + 9*p**2. Determine k*q(c) + 4*o(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*x\/(x\/x**(2\/3))*((x**(1\/3)*x)\/x)\/(x*x**(1\/4)*x)*((x\/x**(-1\/3)*x*x*x)**(14\/11))**(-46) assuming x is positive.\nAnswer: x**(-34445\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 16 - 15)*(-1 - 2*n + 1)*(2*n - 4 + 4).\nAnswer: -140*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - 31*i - 211. Let m be j(-6). Suppose -93*n = -m*n. Factor -5\/2*f**5 + 0*f + 10*f**4 + n*f**3 + 0 + 0*f**2.\nAnswer: -5*f**4*(f - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + 3 - (2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/60 + u**5\/20 - 11*u**4\/24 + 2*u**3\/3 - 4*u**2. Let p(c) be the first derivative of z(c). Is p(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/307 (b) -0.2 (c) -0.5 (d) 2 (e) 60\/7 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/699192 and -17\/4786776.\nAnswer: 62228088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 11*c**2 + 5. Let k be r(-11). Sort -4, 93, -2, k in ascending order.\nAnswer: -4, -2, k, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*y + 1480. Let u = y + 366. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/3 + 16990*g**4\/3 + 102037*g**3 + 561248*g**2\/3 + 272128*g\/3 = 0. What is g?\nAnswer: -16, -1, 0, 17008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37742?\nAnswer: 2, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/2792 - -1395\/2792. Let w(l) be the second derivative of 15*l + a*l**3 + 0 + 0*l**2 - 1\/20*l**5 + 1\/6*l**4. Factor w(u).\nAnswer: -u*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12384 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let k(a) = 7*a. Let d(i) = -14*i. Let p(s) = 2*d(s) + 5*k(s). What is p(n(h))?\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(76) + sqrt(76) + (sqrt(76) + -1*sqrt(76)*-4 - sqrt(76)) + 3*sqrt(76)*2))\/(3*sqrt(2304)*-2))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 u, and 1 h when four letters picked without replacement from uhouoouuuc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = 0. Suppose -5*p - 4*z + 32 = 0, f = -4*p + 3*p - 3*z + 13. Solve -t = -p*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18959 - 18959.014485. Round q to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -3 - 4)\/((-11)\/1). Put 0.2, -4, d in ascending order.\nAnswer: -4, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(539)*-6.\nAnswer: 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-30))\/(4\/(-2)*(-3)\/72*-6).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 9*o**2 - 5*o**2 - 3*o**2 + o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -94647\/1003 and -94 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = 0. Let m = s + 0. Put m, -2, -3 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*t**4 + 32*t**2 + 11*t + 4*t**3 - 118*t**4 - 9*t - 4*t**3 as i*t**3 + z*t**2 + y + j*t**4 + b*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/13)\/o)\/o)\/o**6*(o*o**(-1\/2))**(-3)*(o\/((o*o**3)\/o)*o\/((o\/(o\/(o*o**1)))\/o))**(-3\/7) assuming o is positive.\nAnswer: o**(-1545\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u. Let a(b) = 60*b. Let v(y) = -5*a(y) + 28*t(y). Let o(x) = 3*x. Determine -12*o(m) + 5*v(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 + (4 + -9 - -10) - -1121. Let v be (-4124)\/10 - (-4)\/10. Let k = v + n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 - 22*s + 605.\nAnswer: (s - 55)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 28 - -32 - (-24 + -1 + -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11357 (base 15) to base 12.\nAnswer: 27831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.68 + 3.1?\nAnswer: -103.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (18 - (-16 + 41 + -21))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 + 122\/18. Suppose -y = g - 4*h, -9 - 1 = -5*g + 5*h. What is the third derivative of -7*t**2 - 5*t**5 + 5*t**5 + 5*t**g + 0*t**5 wrt t?\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-2618)*28\/(-8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 + 0 - 2\/7*y**4 - 20\/7*y**3 + 36\/7*y = 0. What is y?\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 254*z = 48*z - 355*z + 47502 for z.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - b - 5 + 4 + (-2*b + 2*b + 2*b)*(4 - 2 - 1) - 2*b - b + 2*b.\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 2*n**2 + 11*n + 56. Calculate the remainder when u(-7) is divided by 49.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-5) + (-6)\/(-15). Suppose p = -o + 3, -a = -4*o - 23. Suppose 2*q - q = s, -a = -3*q + 4*s. Is q at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0513*0.4.\nAnswer: -0.42052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**6\/240 - s**5\/40 + s**4\/3 - s**3 - 78*s**2. Factor t(q).\nAnswer: -(q - 2)*(q - 1)*(q + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**2 + t - 1. Let n = 4 + -4. Suppose n = 4*h - 2 - 2. List the prime factors of j(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2482066661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 24*o = -2450. What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25)\/(-1*(-4)\/(-12)) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -s + 3*l, -3*s - 3*l = 236 - 41. Let o = -127 - s. Let f be (o\/(-24))\/(2\/4). What is the nearest to -0.1 in -4, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 15*p + 32. Suppose -16 + 28 = 4*g. Let i be l(g). Calculate the highest common factor of i and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1783 = 54*u - 107. Sort 8, 0, u.\nAnswer: 0, 8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 - 1)*(-3 + 3 - 3) - 2 - 15 - 1)*(17 - 6 - 9)*(-3*m + m + m).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 5*i + 0*i + (2 + 2*i - 2)*(72 - 23 - 33) + 4*i - i - 5*i to the form x + u*i and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1653882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14774 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1772.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1248 and 1589718?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 1. Let j(l) = -l**3 - 49*l**2 + 47*l - 153. Let x be j(-50). Let c(v) = 6*v - 6. Give x*t(i) + c(i).\nAnswer: 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38945859, -77891716, -116837573?\n\"Answer: -38945857*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2306250.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/104744 and -121\/18.\nAnswer: 942696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -d - 0*d - g, 2*d = 5*g - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*y**2 - 3*y**3 + 32*y**2 - y**4 + y**4 - y**4 + 2*y**4 + (-4*y**2 + 3*y**2 + 0*y**2)*(-2*y**2 + y**2 - y**2).\nAnswer: 3*y**4 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -192, -384, -700, -1170?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 56.52467 days?\nAnswer: 4883731488000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18799 + 18797.3. What is the third smallest value in 0.3, 1\/3, -1\/5, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.9? (a) -332 (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1330 - 70 = -5*x. Let f = 417 - x. What is the third derivative of f*t**3 + 2*t - 2*t - 138*t**3 + 4*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((0 - -1) + 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010325621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.846871 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 12 - 0. Let t be (b\/(-4))\/((-7)\/70). Solve 5*y - t = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249064 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1291 and 88.8.\nAnswer: -1202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 - 1784*v**3 - 224388*v**2 - 5484672*v = 0.\nAnswer: -207, -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14728*j + 15206*j = 12906 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 7445436*u**2 - 3464601485436*u - 51970697518140.\nAnswer: -4*(u - 930687)**2*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 18*q**2 - 27*q - 84. Let u be y(16). Let f = 2\/157 + 139\/1413. What is the third smallest value in u, -0.1, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4255)\/(-2072) + -2)\/(48\/28). Let p be ((-1)\/3)\/(8\/12). Which is the second smallest value? (a) p (b) -1 (c) -2\/13 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 8*f = 4*m + 23, -2*f - 4*m = -2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyn when three letters picked without replacement from nycyynnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -164*r**5\/15 + 5*r**4\/8 - r**3\/6 + 2*r**2 + 28. Let a be k(-3). Round a to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2 + -2*sqrt(2) + -2 - (6*(sqrt(50) + sqrt(2)) + (sqrt(2) + 1)*-2))**2.\nAnswer: 120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 86 - 22. Let c(g) = -13*g + 7*g + 2*g**2 - 9*g**2 + 7 + k*g. Let x(o) = 10*o**2 - 4*o - 10. Determine -7*c(j) - 5*x(j).\nAnswer: -j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 7*c**2\/2 - 57*c - 106. Let n be t(8). What is the closest to n in 4, 0.4, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x + 13*x - 3*x + x. Let t(u) = -2*u**2. Give t(g(j)).\nAnswer: -242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*z + 145*z + 235*z - 216*z**2 + 726*z**2 + 172*z wrt z?\nAnswer: 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**3)**35)**(-28))**(-6\/13) assuming d is positive.\nAnswer: d**(17640\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23992 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -362 + 511. Calculate the remainder when s is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6680 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8310954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 1\/60*f**5 + 0*f - f**2 - 1 - 7\/6*f**3 + 0*f**4. Give m(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81836, -81835, -81834?\nAnswer: -81833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 25. Let r = -15 + p. Suppose -r*c + 2*c = -50. Solve -5*s + 5 = -c*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 2}. Give prob of sequence rxrx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 9:09 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2112)\/(-212) - (-16)\/424. Solve -x + 2*a - 2 = 0, -8*x + a - k = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*-20.7.\nAnswer: 890.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 300661*t**3 - 148433*t**2?\nAnswer: 1803966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -20, -186, -516, -1064, -1884, -3030?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (9 - 1) + 1 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-2 - -2) - -4. Let z be (-3)\/9 + (-13)\/(-3). Suppose -3*x = -4*x - 3*i + 1, 3*i = -z*x + 13. Put -4, x, a in descending order.\nAnswer: a, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 42. Let h be t(10). Suppose -h*r = 2*c + 2, 2*r = 2*c + 2*c - 20. Suppose -240 = c*s - 8*s. Calculate the greatest common divisor of 36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2*-2)**2 + sqrt(171)\/(sqrt(9) + sqrt(324)*2).\nAnswer: sqrt(19)\/13 + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3211320313 (base 4) to base 3\nAnswer: -1202211122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -0. Let i be 180\/(-75)*t*-10. What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*r - 130353*i**2 + 2*i*r - 170*r - 22 wrt i.\nAnswer: 6*i*r - 260706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:08 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6265 is divided by 5151.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-152)\/2)\/(-2) - 0. Let p = -54 + d. Let z be 2\/3 - p\/12. Is -1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22724 and 15801.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*z - 610 + 610 + 26*z.\nAnswer: -195*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 24*s = 43. Let b = 59 + -44. What is the remainder when s is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*m**2 + 66*m**2 + 8*m**2 - 4*m**2 to the form k*m**2 + l + a*m and give k.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -23*b**4\/4 - 95*b**2\/2 - 30*b + 6. Let g(a) be the first derivative of r(a). What is the first derivative of g(w) wrt w?\nAnswer: -138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-4 - 4*sqrt(65)\/sqrt(5))**2 - (sqrt(130) - (sqrt(130) - (sqrt(130) + (sqrt(130) + -5*sqrt(130))*3)))\/sqrt(10))*4.\nAnswer: 44*sqrt(13) + 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3430180 by 1715090.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q = 396 - 95 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f + 20 = 0. What is the least common multiple of 8 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3641, -3576, -3511, -3446, -3381?\n\"Answer: 65*u - 3706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((40\/304)\/(3 + -1 + 18\/6))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34075 - 35100 + 2*u + 0*u + 460*u**5 wrt u?\nAnswer: 9200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6076 - -2?\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltxtttttlqlxqxt. What is prob of sequence qx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - 2 - -3) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7952 - -43392. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 3, u: 1, f: 2, e: 1, k: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0, 837\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 437, 3345, 11161, 26315, 51237, 88357, 140105?\nAnswer: 208911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 14*h**2 - 13*h + 5. Let a be y(-13). Solve 3*j - 2*j + 5*i - 5 = 0, -5 = -a*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-100)\/(-400) - 21\/(-60). Factor k - 9\/5*v + 9\/5*v**2 - 3\/5*v**3.\nAnswer: -3*(v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/6)\/v)**(-32)\/((v*v**(-34))\/(v\/(v\/(v*v**(-43))))) assuming v is positive.\nAnswer: v**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/75)\/(2\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -563, -1020, -1485, -1952, -2415?\n\"Answer: z**3 - 13*z**2 - 411*z + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -2328 - -2331. Suppose 5*a = j + 3, 2*j = -5*a - 3*j - 15. Solve a*o = -2*o + k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5207 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(22 + -50 + 22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, z: 2, w: 6, s: 3}. Give prob of picking 1 z and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -304 - 114 - 95 + 604*k wrt k?\nAnswer: 604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*55\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55226749, -110453492, -165680235, -220906978?\n\"Answer: -55226743*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11022 at most 11022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16 and (-8 + (6 - 0))*(-118)\/272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g - 2. Let x be a(-3). Suppose -x*w - w + m - 40 = 0, 2 = -w - m. Is (w\/(-3) - 3)*-87 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1132321 (base 4) to base 2\nAnswer: -1011110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 67*j**4 - 154*j**2 + 8 - 22*j**4 - 10 wrt j.\nAnswer: -2136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = 6. Is i less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292538 is divided by 663.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/13 + 334*v**3\/13 + 27520*v**2\/13 + 473088*v\/13 = 0.\nAnswer: -32, 0, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/23 (b) -2\/59 (c) 3 (d) 0 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65664\/239 or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let q(f) = -4*f. Let z(h) = q(h) - 5*w(h). Let k(o) be the first derivative of -3*o**2\/2 - 4. What is k(z(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844 smaller than 2845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1157 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -391, -450, -509, -568, -627?\n\"Answer: -59*z - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 divided by -43.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 8*y**2 + 7*y + 14. Let r be q(9). Let k(v) = -2*v**3 + 4*v**2 + 5*v - 11. What are the prime factors of k(r)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(2 + (-5)\/2). Let s = -9 + j. Let a be 6 - (2 + s\/(-3)). Solve a*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-13)*u))*u**(-3\/7)*u*(((u*u**1*u)\/u)\/u)**(8\/17))**24 assuming u is positive.\nAnswer: u**(-31296\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 0 (b) 3 (c) 10 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269539 is divided by 89186.\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -65, -3, -2, 1 in decreasing order.\nAnswer: 1, 0, -2, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let m(t) = 569*t**2 - 324. Give m(f(r)).\nAnswer: 2276*r**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (839\/(-2))\/(-2 - (-18)\/12).\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 67135.29 meters?\nAnswer: 67135290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286449?\nAnswer: 3, 95483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:13 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 31, -2, 1, 30, -4 in decreasing order.\nAnswer: 31, 30, 5, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*q**3 + 1593*q**3 - 733*q**3.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6*k - 33 - 34 = -3*u + 14, 0 = -4*u + 4*k + 64 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 543901 - 23882. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3511 + 63155\/18. Calculate the common denominator of f and 1 - (1 - 1) - ((-14375)\/966)\/125.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:10 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-30) + (-17)\/(-5))*6237\/324. Solve 168*y + m = 179*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33968 and 24336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 112*f**2 + 38331*f + 9250. What is s(-342)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/280*((-1)\/(-6))\/((-10)\/(-50))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) 0 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2647850, 5295698, 7943546?\nAnswer: 10591394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*m + 7*m + 33*m)*(-2*m + 2*m - m) + 1 - 4*m**2 - 1.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328248875.\nAnswer: 5, 53, 49547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 2*p**4 + 2*p**4)*(5 - 1 - 3) + p**4 + 2*p**4 + 0*p**4 + (11 - 5 - 1)*(-2*p**2 - 2*p**4 + 2*p**2).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 5*s + 3. Let k be r(5). Suppose 2*h = -k*h. Suppose h = -2*m + 3*m. Are 0 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295447949 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58 + -19?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -448890562, -448890560, -448890558?\n\"Answer: 2*o - 448890564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 112, 7 in decreasing order.\nAnswer: 112, 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 - 6*g + 5. Let l be x(5). Let f be 36\/5*(-750)\/225. Let i be ((-616)\/f - -10) + 1\/3. Sort 4, l, i in increasing order.\nAnswer: l, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1326 and 167\/379440?\nAnswer: 4932720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 829025, 828821, 828617, 828413?\n\"Answer: -204*c + 829229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -7 in descending order.\nAnswer: -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/2 + 18*s**3 + s**2 - 54*s + 1111. Factor g(u).\nAnswer: -2*(u - 27)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, 6, 7, 2\/11 in decreasing order.\nAnswer: 7, 6, 2, 2\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 14 = 3*v, 4*g = -v. What is the units digit of (5\/2)\/(v\/48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 28 (c) 140 (d) -272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 - (-7 + (-7 - -26)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 326*(1 + (-2 - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -419*l. Let i(d) = -3428*d**2. What is y(i(q))?\nAnswer: 1436332*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {x: 5, l: 2, u: 5}.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3344519 is divided by 405.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23665519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7615371 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 + 1465*y - 46359. Calculate r(34).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -74, -107, -138, -167?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose 3*z + n = 57. Calculate the lowest common multiple of z and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 119*b - 5333. Calculate k(43).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2571 is divided by (110\/50)\/(4\/60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-784)\/(-14)*(-15)\/(120\/2))\/((-7)\/56)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3934\/2557 or -3?\nAnswer: -3934\/2557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-35))\/(26\/((-2912)\/552)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/17)*h)\/h)**(-11\/7) assuming h is positive.\nAnswer: h**(-22\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0*l**3 + 2 + 0*l**2 - 1\/12*l**4 + 17*l. Let n(i) = -129*i. Calculate v(n(s)).\nAnswer: -16641*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -14. Let g = -3\/19 + 47\/57. Which is the nearest to -2\/7? (a) g (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12958 at least as big as -12962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32242080 divided by 5?\nAnswer: 6448416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -486.1 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24625 - 616?\nAnswer: 24007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -1\/2, -2\/5, 811, -8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*s - 68710661 = -68704241 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 17. What is the tens digit of v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - -bb5?\nAnswer: 100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920524949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 3*d, d + 1 = a + 2. Suppose a*l = 5*l - 80. Let q = 40 + 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: Collect the terms in -4965353*c - 9*c**3 + 4965353*c.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2378*s - 574 + 2482 = -2848 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -236458607 divided by 47377\nAnswer: -4991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -24. Suppose 4*t = k + f, -k + 3*k - 5*t + 1 = 0. Let o(d) = -12*d**2 - 1654*d + 1654*d + 0*d**k. Let b(n) = -3*n. Calculate b(o(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Suppose 10 + a = 3*f. Suppose 880 = 3*b - 5*p, -10*b + 6*b - f*p + 1185 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551.\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -76*u**2 + 14661*u + 1348. Determine p(193).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 15*i**2 - 15*i + 16. Let f be v(14). Suppose -3*j = 4*g + 6, f*g + 0*j = -3*j - 6. Let n(r) = 692*r - 692*r - 8*r**2 + 7*r**2 - 6. Give n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11088 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108, -434, -972, -1722, -2684, -3858?\n\"Answer: -106*m**2 - 8*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:07 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1190962577*o**3 - 346264945*o**2 + o + 2.\nAnswer: -7145775462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guudlulgllguu. Give prob of sequence ggdu.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(-5)))*g*g)**(3\/14)\/(((g**(2\/31)*g)\/g)\/(g\/(g\/(g**8*g)*g))))**(-34\/7) assuming g is positive.\nAnswer: g**(-55386\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26407*l - 26403*l - 14 + 14.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (3 - -2). Let m(u) = -2*u - 16. Let z be -9*4\/16*4. Let o be m(z). Which is the second smallest value? (a) 2\/19 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 4*m + 2*m. Let x(n) be the third derivative of -n**6\/180 - n**3\/6 - 2*n**2. Let p(o) be the first derivative of x(o). What is p(z(c))?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104120 (base 6) in base 2?\nAnswer: 10000111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + g + 4*h = h - 11, 5*h = -571 + 566 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 12814.\nAnswer: 51256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/12 + 201*m**2\/2 - 27*m. Suppose -5*j = 4*z + 10, -4*j = -8*j - 8. What is the units digit of w(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016, 1760, 2492, 3206, 3896, 4556?\nAnswer: 5180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -15*t + 11*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -265391 - 0.4?\nAnswer: -265391.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 237997340 to the nearest 1000000.\nAnswer: 238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(h\/(h*h*h**(-13)))\/h)\/h)\/h*h)\/(h\/h**(1\/8)))**(-19)*(((h\/h**(1\/2))\/h)**(-1\/13))**(-6\/31) assuming h is positive.\nAnswer: h**(-620241\/3224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188 = 40*g - 61*g + 87*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**2*w**3 - 281*n**2*w**2 + 7*n*w**3 + 8*n*w**2 + 4*w**2 wrt n?\nAnswer: 8*w**3 - 562*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -28. Solve -4*t + o*l + 33 = 0, 4*l - 3*l = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3 = 9. Factor o + 0 - 1\/4*o**v.\nAnswer: -o*(o - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 4*s**2 + s - 3. Let k be 4\/6*15\/10. Suppose -g - k = -0, -5*o + g - 29 = 0. Let c be 22\/5 + o\/15. What is m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2 + 6 + 2*o - 2*o + 0*o + 8*o + 3*o + 0*o - 5*o - 3*o - 3*o + 4*o - 2 - 2*o + 2 + (o + 0*o + o)*(-3 - 3 + 5) + 0*o - o + 3*o + o - 1 + 1.\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 386310 and 1702?\nAnswer: 328749810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {l: 1, m: 3, g: 3, f: 9, e: 1, q: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from {e: 3, b: 5, a: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/73, 4, 2, -2\/9?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 11. Let y be c(6). Let x(u) = 2*u - 3*u**2 + 20*u**3 + 0*u + y*u**2 - 21*u**3 + 2. Let j(z) = -3*z**3 + 9*z**2 + 9*z + 9. Give 2*j(d) - 9*x(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 4:07 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 10217 = k - 10211, a = 2*k - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-15)\/(-9))*-3. Is 4\/(p + 0) - -117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673052?\nAnswer: 2, 43, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1200 - 21*x - 438 + 11*x - 629 + 11*x to the form f*x + p and give p.\nAnswer: -2267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 3 (c) 90 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.4, 2\/9 in increasing order.\nAnswer: -9, -0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92 - 94) + (-90)\/(-46).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 + 50*k + 221. What is the remainder when 1353 is divided by u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51566)\/(-2242) - (-73 + 0).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*o**2 + 3*o**2 - 13.\nAnswer: 6*o**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3523213 (base 7) in base 10?\nAnswer: -442921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 4*l + 4*l + 4*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182 - -547\/3. What is the second biggest value in -3, -0.4, u, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 582, -49, -4, 2, -3.\nAnswer: -49, -4, -3, 2, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 286*d**3 - 8*d - 14. Let g be h(12). Let r = g + -1034098. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 15 + (-22 - -21) - (-40 + 9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26\/51 (b) 0.1 (c) -0.02 (d) -2\/7 (e) -0.3 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -828a300 (base 11) to base 10.\nAnswer: -14625391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(342)\/(sqrt(96)*1))\/(sqrt(144)\/(sqrt(12) + (sqrt(144)*-2)\/sqrt(12))).\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1323 and 2187.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143968 at least 0.006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20473 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -53*n - 5. What are the prime factors of w(-3)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -2.1 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 20 = b, -2*b - 10 = -5*c. Suppose c = -10*f - f + 517. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -33881\/8280?\nAnswer: -33881\/8280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 84\/11 (b) -2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1378.8829 + 1379. Round r to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 2, m: 1, c: 2, q: 2, o: 1}. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -49 + 7\/2*u**2 + 0*u. Determine m(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2228, 2806, 3404, 4028, 4684, 5378?\n\"Answer: x**3 + 4*x**2 + 559*x + 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5773*o**4 - 2675*o wrt o?\nAnswer: -69276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45272, 90445, 135616, 180785?\nAnswer: 225952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -15. Suppose -s*t = -11*t + 48. Suppose -5*c = -2*c - 9. Calculate the highest common divisor of t and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and -1\/300 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/36 + 964\/723. Sort 5, w, 8557, -0.1.\nAnswer: -0.1, w, 5, 8557","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 - -9)\/5)\/(4 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11990 and 9592.\nAnswer: 47960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 22. Give a(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 2*c. Calculate r(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 1, r: 2, f: 2, k: 1}. What is prob of sequence qff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 3*i + 0*i)*(8*i - 10*i + 0*i + 3) + 0*i**2 + 3*i - i - i**2 to b*i + m*i**2 + p and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-131 - -1)\/5*(3 - -1). Let j = 258 + b. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -57. Suppose 428 = h*v + 5*r, 13 = -5*r - 7. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**3 + 24*g**2 + 10*g + 11. Determine y(-7).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) -0.5 (b) -0.3 (c) 569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -14*b**2 + 11*b - 5. Suppose -x = v - 11, 2*v + 16 = 3*x - 17. Let j(k) = 5*k**2 - 94*k + 1 + 90*k + 1. Give x*j(d) + 4*q(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.99. Let g = p - -38.99. Let q = g - 38.99999776. What is q rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-30)*(-1812)\/11476)\/(2*2\/1190)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2200211202010?\nAnswer: 2200211201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21641367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(98) + 0)**2 + -5.\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 21 (b) 8 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 1091*g - 1123*g + 2192*g in the form a + h*g and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -36 + 101 + 23\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -68.1. Round o to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {k: 7, l: 2, o: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9805977931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 203973030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 767 + -742. What is the remainder when 2*j\/2*(-152)\/(-190) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*3\/(-2). Let o = 31.3 - 33. Let p = o - -1.2. What is the biggest value in -5, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 11*l**4\/12 - 10*l. Let d(c) be the second derivative of 11*c**3\/6 + 102*c. Give r(d(v)).\nAnswer: 1331*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 20. Let i(s) = -2*s + 30. Let r(n) = 2*i(n) + 3*z(n). Let c(x) be the third derivative of 0*x + x**2 - 5\/24*x**4 + 0 + 0*x**3. Determine c(r(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 20*f**2 - 106*f + 84.\nAnswer: 2*(f - 3)*(f - 1)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.9. Let y = -150928 + 150708. Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 + 12*d**3 + 7*d**3 + 6*d**3 - d**3 + 9*d**3 - 29*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 - 2*v - 4. Let b(f) = 18*f**2 + 93*f - 230. Let w be b(-7). Let k(h) = -h. Give w*d(c) - k(c).\nAnswer: c**3 + 4*c**2 - c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 92. Is t(-22) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 1665?\nAnswer: 31635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:45 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 16) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000357 to 7 decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -871*x. Let i(s) = -30*s. Let k(w) = -2*w**3 - 12*w**2 + 86*w + 3. Let v be k(5). What is v*i(q) + 4*l(q)?\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1010101100111 (base 2) to base 3\nAnswer: 21111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36003863563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3280*a**2 - 78 + 3290*a**2 + 54*a + 80 as p + k*a**2 + s*a and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 1. Let h(x) = 13 - 9*x + 7 + 10*x + 24*x. Let y(z) = 20*c(z) + h(z). Let v(u) be the second derivative of -u**3\/3 + 2*u. Give y(v(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 378\/945*(-5)\/12*22\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*4\/(-3). Let w = 6 + m. Let h = 6 - w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29693745 to the nearest integer?\nAnswer: 5449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) 1\/10 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - -7 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 4*k**2 + 2*k - 1. Let q be -2 - 309\/(-2)*(-280)\/105. Let c = -416 - q. Calculate j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 1055*s - 35*s**2 + 1042*s - 2127*s.\nAnswer: 5*s*(s - 3)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*i + 50, r - 28 = -0*r - i. What is the highest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 - 407*q**2 + 672*q - 948. Give i(134).\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-4)\/1524*1). Suppose a = 4*p - 0*p - 2*b, -b + 569 = 3*p. Calculate the highest common factor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)\/sqrt(4) + 2.\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/4 (b) -8 (c) -2 (d) -920\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6420 = m - 45935, 2*t - 39535 = -m. List the prime factors of m.\nAnswer: 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 65700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 385*a - 148225\/2.\nAnswer: -(a - 385)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let v(q) = -q + 1. Let o be v(f). Calculate the common denominator of (2\/20)\/(o\/106) and -101\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 15) in base 3?\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0 + 1\/8*t**4 + 15*t - t**3 + 3*t**2. Factor f(o).\nAnswer: 3*(o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 - -139 - (-4 - (3 + (-10 - -1)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 4*p)*((0 - 1 + 2)*(-3 - 1 + 2) - 3 + 0 + 0).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5692 is divided by 114?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 1, v: 1, m: 1, p: 4}. Give prob of picking 1 s and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/7 + 786*k**2\/7 + 15560*k\/7 + 39552\/7 = 0. Calculate k.\nAnswer: -16, -3, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 14*i**2 + 17*i + 23. Let f(c) = -c**3 + 15*c**2 + 22*c + 22. Let y(x) = -4*f(x) + 5*o(x). What is y(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20511 + 20743 = 45*g + 42514 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 11. Let m = 43 + -49. Let i = 6.4 + m. What is the nearest to j in -1, i, -0.04?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-75)\/10)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3218 - 3214. Let y(n) be the third derivative of 22\/15*n**6 + 0 + 0*n**3 + 0*n**r + 3*n**2 + 0*n - 4\/15*n**5 - 242\/105*n**7. Factor y(q).\nAnswer: -4*q**2*(11*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-18) + 2\/3. Let v(j) = d*j**2 + 6 + 4*j + j + j**3 - j. Let w be v(-3). Is 2\/3 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*j = 2847, 0 = 4*g - 5*g - 3*j + 1422. Suppose -5*m - 5*z + 1410 = 0, g = 5*m - 0*z + 2*z. Is 41 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149.232 + 14.\nAnswer: -135.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*x, -x + 8 = u + 2*u. Suppose -2*a + 3*o + 13 = 0, 0*a = -2*a - u*o + 6. Suppose n + 4 = 3*n. Solve -r - a = j, 0*j - n*j = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-1838*v + 3669*v - 1834*v + 1260).\nAnswer: -6*v + 2520","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 767374 and 1116.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 398*r + 14296. What is a(-36)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/2414345 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 10*k**2 - 14*k + 19. Let u be b(-8). What is the second derivative of -29*f - 134*f**u + 6*f + 4 + 15*f wrt f?\nAnswer: -804*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 2c?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 2*v + 3. Let d(o) = -o**2 - 2*o + 3. Let c(s) = 4*d(s) - 5*r(s). Determine c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.7 + 35. Sort 0.03, 2\/11, a in descending order.\nAnswer: a, 2\/11, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131132 (base 4) to base 3.\nAnswer: -22012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -10. Suppose -33 + 18 = -y*i. Solve -3*v + i = -2*g, 4*v + 5*g + 6 = 33 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/((-588)\/60 - -11). What is k in -13\/4*k - q*k**4 + 3\/8*k**2 + 41\/8*k**3 - 1 = 0?\nAnswer: -1\/2, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*q - 207 = 0, 62*q - 213 + 957 = -4*r + 44*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v**2 - 9*v + 56. Let d(r) = 13*r**2 + 9*r - 59. Let m(c) = 5*d(c) + 4*n(c). What is m(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 252, 221, 170, 99?\n\"Answer: -10*z**2 - z + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -14011134214?\nAnswer: 14011134210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 454 + -38?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 264431*-0.23\nAnswer: -60819.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + -2)*(-5)\/30*-1942. Let d = 3575 + f. Suppose 0 = -4*m - 505 + d. Is m a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-35))\/((-1)\/5). Let o be 0\/k - (-36)\/135. Let f = 1\/15 + o. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75378390017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(245)*2.\nAnswer: -56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = n + 146, -2*n + 863*q = 862*q - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 83*t**2 - 867*t + 2849\/3.\nAnswer: (t - 259)*(t - 1)*(t + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 - (-7 - 175\/(-15)). What is the remainder when (-454)\/(-3) + (16 + v)\/(-33) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6\/120 - x**5\/10 + x**4\/12 + 2*x**3\/3 - x**2 + 25*x + 17. Let r(d) be the second derivative of i(d). What is r(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 176. Let c be 67\/13 + (-16)\/104. Suppose -2*b = -c*b. Let h be s(b). What is the highest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48424306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2. Let l(f) = -81*f**2 + 3*f - 8. Let q(b) = 2*a(b) - l(b). Find the second derivative of q(s) wrt s.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55861.\nAnswer: 13, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68281 is divided by 21289?\nAnswer: 4414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwg when three letters picked without replacement from {g: 1, r: 1, u: 5, w: 1, x: 5, z: 1}?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.97 * 32.207\nAnswer: -160.06879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = o, -4*o - 5*t + 14 = -1. Suppose -5*y - 79 = -s, o*y - 341 = -4*s - 0*y. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1077, -8551, -28831, -68319, -133417, -230527, -366051, -546391?\nAnswer: -777949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3 (c) -2 (d) -1\/5 (e) -0.1 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*v**4 - 38*v**3 - 1444 + 21*v**3 - 2*v + 1446 + 17*v**3 to a*v**3 + g + x*v**4 + r*v**2 + k*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.5, 0, 34, 18664?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*m + 7*m - 647 + 8*m**2 - 645 - 8*m + 1295 to z*m**2 + v + l*m and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 9*s + s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -20*m**2 - 439*m + 359. What is v(-23)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8798997.738706045 - -8798998. Let o = s + 30.738700245. Let q = o + -31. Round q to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 43*g**3 + 2*g**2 - 89 + 43 + (2*g - 1 + 1)*(2*g**2 - 3*g**2 + 3*g**2) in the form t*g + c*g**2 + o*g**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101210011221210 (base 3) in base 2?\nAnswer: -10101110111010000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 406934 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16075*k - 16182*k - 3852 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence annh when four letters picked without replacement from {s: 6, h: 3, n: 4, r: 4, a: 3}.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 325*o**5 - 279*o**2.\nAnswer: 19500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17, 0.2, 7, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 0.1 (c) -2\/9 (d) 20\/3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -358588 (base 15) to base 16\nAnswer: -270e0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 8274374.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7 + 35 + 31 + 291*v - 5. List the prime factors of u(4).\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-102)\/(-4))\/((-14)\/(1120\/(-15))). Let r = 139 - g. Solve 5*i + 5*b = 35, -3*i = r*b - 7*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.13 - -0.07. Let r = 1.2 - k. Which is the closest to r? (a) -0.5 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 8. Calculate the common denominator of 1*(87\/(-10) - t) and -13 - (-3)\/(48\/4) - (-260)\/65.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-16))\/((-18)\/(-48)). Factor 2\/3*v - 2\/3*v**3 + s*v**2 - 2\/3.\nAnswer: -2*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 763, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.23 and -0.26.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l. Let h(u) = -36*u - 21. Let m(r) = -5*r - 3. Let b(t) = 2*h(t) - 15*m(t). Let z be b(0). Let v(s) = z*s - s + 5*s + 3*s. Give 6*a(j) - 5*v(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2011322454 + -13?\nAnswer: 2011322441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5606546 divided by 2803273?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2, -3, -35 in decreasing order.\nAnswer: -2, -3, -27, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*t**3 - 1625*t**3 + 2*t - 491*t**3 + 162*t**3 + 72*t**3 as z + y*t**2 + o*t + d*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-5))\/(-1))\/((-1064)\/(-50540))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 + 58\/4. Find k such that 5*k - 18*k**3 - 10*k**2 + 4*k - 4 + j*k**4 + 9*k = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2*-6)\/(3\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5906 = 2*t + 5*m - 17388, -m = 5*t - 58281. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 - 40 = 0. Suppose 0 = 5*y - y - 16. Suppose -y*v + z = -29. What is the remainder when 40 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -827*d**2. Let i(g) be the first derivative of g**3\/3 + 1470. Determine i(j(m)).\nAnswer: 683929*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -20. Let n(g) = 17*g**2 - 6*g. Let o be ((-22)\/5 - -2) + 9\/(-15). Let k be n(o). What is the greatest common factor of k and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 + 15 + 2 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - y + 0*y + y - 3. Let l be u(-3). Suppose 2*a + l*m - 18 = -4*m, -5 = a - 5*m. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + (-592)\/(-112). Suppose 3*c = -y*c + 2*c. Is (c\/(-2))\/2 + (3 - -52) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:00 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63388 - 443715\/7. Factor -4\/7*d**2 + 0 - a*d.\nAnswer: -d*(4*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -15*m - 356 - 951, -2*l + 0*l + 23 = -l + 24 for m.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 7*z - 7. Suppose -16 = -11*s + 7*s. Let b be x(s). What is the greatest common divisor of 45 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k**2 - 15*k - 65. Let h(u) = 3*u**2 - 3*u - 13. Let s(b) = -11*h(b) + 2*o(b). Suppose 3*m - 5*n - 8 = -5, -n = -5*m + 27. What is s(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 - 3*x**2 + 53*x + 0*x**2 - 14*x in the form c*x**2 + b*x + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 343, 614, 977, 1426, 1955, 2558?\nAnswer: 3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (6\/(-8))\/(2 + 19\/(-8)) and (1 + -21)\/(-1 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 2. Let b be d(-4). Suppose b*i - 17 = -5. Solve -5 = 3*h + 2*p - 2, 2*h = -4*p + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 15 + -5 - (-1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-81) - 8\/(-9). Which is smaller: -1\/21 or x?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -4)\/2 - -632. Suppose 213 = s + 3*u - u, -u - h = -3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28070559.\nAnswer: 3, 11, 283541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*m + 66 + 70 - 610 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 9775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9221069 = -142*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (-3)\/(-2)*(-16)\/(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001885 to 6 decimal places.\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41\/2 + 2)\/(318\/212).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7906263 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27659 and 1411.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + k - 138 = 35, -4*k + 520 = 3*f. Suppose -5*z + 5*y = -345, -3*z = -0*z + 4*y - f. Calculate the remainder when z is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-4) + 44\/2. Let o be (1 - 1)*7\/b. Suppose 1\/3*h**5 + 1\/3*h**3 + 0*h**2 + 0 + o*h + 2\/3*h**4 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 34. Let h(u) = 11*u**2. Calculate p(h(a)).\nAnswer: -121*a**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/6 + 20*u**3 - 2651*u**2\/2 + 27716*u\/3.\nAnswer: u*(u - 41)*(u - 8)*(u + 169)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 13*n**2 - 12*n + 5. Suppose 0 = -4*m - 48. Let d = 0 - m. Calculate the remainder when d is divided by s(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:11 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121112 (base 8) in base 15?\nAnswer: -1154d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 234166 to the nearest 100.\nAnswer: 234200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*n - 24. Let k be 13 + -12 - (n + 1). Let g be 1 - -16 - (k - 21). Calculate the highest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*g - 8 = 0, -71355*y - 4*g = -71356*y - 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8092, 13911, 19744, 25597, 31476, 37387?\n\"Answer: m**3 + m**2 + 5809*m + 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*f - 27 + 74 = 0, 0 = 6*g + 5*f - 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -1\/51*q**6 + 0*q**2 - 13\/34*q**4 + 16\/85*q**5 + 4\/17*q**3 + 0*q + 41. Factor k(n).\nAnswer: -2*n**2*(n - 6)*(n - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:28 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 26. Let z(d) = -d. Let u(y) = v(y) + 6*z(y). Let r be u(22). Let f be (4\/10)\/(r\/20). Solve -f*o - 2 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2118 (base 14) in base 3?\nAnswer: -21211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 7}. What is prob of sequence eeen?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, 1\/7, -1\/90 in ascending order.\nAnswer: -1\/3, -1\/90, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -v, 8*v - 12*v = 3*g + 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5819*m**2 + 4*m + 384735.\nAnswer: 11638*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2507.\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t**3 + 5*t**2 - 10*t - 9. Let o be a(7). Suppose -6*d + v + o = -3*d, 3584 = 3*d - 4*v. Round d to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - 52. Let l = m - -66. Which is the second smallest value? (a) -2\/21 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/120493666?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21813017.\nAnswer: 29, 37, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18044\/15 + 1203. What is the closest to v in 2, -1, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 410\/13?\nAnswer: 410\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (13\/39)\/((-2)\/4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3127 and -126257.9.\nAnswer: -129384.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6281 - 6243. Solve 16 = -3*s + 5*g + q, 0 = s - 4*g - 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*f - 340. Let y = f - -169. Suppose 3*g + 4*u - 78 = 178, -3*g - 2*u + y = 0. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 20 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 77. Let f = d + -11. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Suppose -u - 2 = 0, -3*i - m*i = u - 13. Suppose -18 + i = -3*d. Solve -3*b + d*b = -4*k - 8, -7 = b + 5*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4368)\/(-264992)*16\/6*-7*(-2)\/2.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -29535, 10, 6, -0.2 in ascending order.\nAnswer: -29535, -0.2, -1\/6, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i, 2*h - 22*i + 10 = -27*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83.74 - 83.7399995527. Round z to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90498 is divided by 1850?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99523637.\nAnswer: 99523637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 39*v + 1391. Give n(18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 3, q: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1561435324 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -1034, -1032, -1030?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 83. Suppose -44*p + f*p = 2070000. Round p to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8654953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 4}. Give prob of sequence yey.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/29)\/(5478\/(-158862)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 872*x - 19991. Calculate i(23).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {b: 3, z: 1, g: 1, f: 2, n: 1, w: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3. Let w(o) = -6*o**3 - 12*o - 3. Suppose 0 = 40*l - 45*l + 3*i - 34, 16 = -5*l - 3*i. Determine l*u(y) + w(y).\nAnswer: -y**3 - 12*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 56953686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 32*t + 20. Let j(b) = -13*b - 8. Let y(s) = 4*c(s) + 10*j(s). Let f(x) = x + 186. Give y(f(h)).\nAnswer: -2*h - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 37. Let t = b - 29. Suppose 14 + 9 = 4*h + 5*p, -16 = -3*h - 5*p. Solve 3*a - h*a = -t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9863569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/5 + 487522*f\/5 - 3900304\/5 = 0.\nAnswer: -243769, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21693 + -21673. What is the nearest to -1 in o, 3\/8, -23?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1488)\/4)\/(-6))\/((-12)\/(-12)*-2)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 41\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61341368 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 45 - 465. Is (-20)\/y + (-8619)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/396)\/((-1)\/6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-2 + 0 + -5*-2*sqrt(162))**2.\nAnswer: 9248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 13*r - 13. Let b be g(1). Solve 0 = 4*a + 4, -4*u - b + 17 = -5*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328\/5 + 66. What is the closest to -1 in l, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -0.4, -1783, 1\/7, 0.03, -2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 94.554.\nAnswer: 92.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 422648, 422626, 422602, 422576?\n\"Answer: -t**2 - 19*t + 422668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4 + 6*k + 4. Let m(j) be the second derivative of j**3\/6 - 17*j. What is g(m(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*(-18)\/210\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 20*k + 20*k)*(-2*k + 2*k - 2*k + (2 - 1 + 0)*(-2*k - 3*k + 3*k) - k + k + k - 2*k + 2*k - k).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 3*i**2 - 2*i - 10. Let k be m(-3). What is the highest common factor of 115 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 157.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -37. Let o(q) = 3*q**2 - 18*q + 4. Let r be o(a). Solve -3*u = r + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.4, -3, -0.058, -21 in ascending order.\nAnswer: -21, -3, -0.4, -1\/6, -0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27065982 divided by -6.\nAnswer: -4510997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2848824 and 64.\nAnswer: 22790592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 5\/12*l**3 + 3 - 1\/6*l**5 - 31*l - 5\/6*l**2 + 5\/252*l**7 + 5\/36*l**4 + 0*l**6. Factor z(w).\nAnswer: 5*(w - 1)**3*(w + 1)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 744*l**4 - 15*l**3 - 2*l**2 - 3993*l + 1 wrt l.\nAnswer: 8928*l**2 - 90*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342856182.\nAnswer: 2, 1171428091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -23 (b) -3\/7 (c) -160 (d) -0.03 (e) 1\/8 (f) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6605128*c**3*p**3 - 14089*c**3 - 15*c*p**2 + p**5 wrt p?\nAnswer: -39630768*c**3 + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/7 + 480730*v**4\/7 = 0. Calculate v.\nAnswer: -480730, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:36 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 0*r = -1800. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5497*t**3 + 7317*t**3 + 2316*t**3.\nAnswer: 15130*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nonooonoonono.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/201?\nAnswer: -14\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3537*s + 14217. Calculate r(4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38677 is divided by 302.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.25. Let t = -3436.719902 - -3435.97. Let w = t + u. What is w rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2082 and 63\/4.\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.029 and 299.5.\nAnswer: 8.6855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5, -0.2, 5, 2\/3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 10*l - 1. Let b(t) = t**2 + 15*t + 2. Let f(o) = 5*b(o) + 8*h(o). Determine q, given that f(q) = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4424652 = -160*m + 5005268. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -29\/3, -651 in decreasing order.\nAnswer: -0.5, -29\/3, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1064, 1062, 1060, 1058?\n\"Answer: -2*g + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(60)\/sqrt(5))\/sqrt(6) - sqrt(22)\/(sqrt(11) - sqrt(275)))*6)**2.\nAnswer: 235\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 12*s**2 - 31*s - 35. Let r be d(-14). Solve 2*b = -c + 4, -3*b - 20 = -r*b - 5*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1220424108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/((-3)\/(-18)). Suppose -5*c - h = 1. Let r(l) = 50*l**2 + 2*l + 1. What is the units digit of r(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/5 + 424*y - 18918\/5 = 0.\nAnswer: 9, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 405*z + 819. What is the remainder when 96 is divided by j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5095.\nAnswer: 1\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/8 and -5\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2212 and 369404.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -7 + 7 - (-4)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7473507047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u - u)*(4*u - 3*u - 3*u) + 0*u**2 + 0*u**2 + 2*u**2 - 5 + 5 + 2*u**2 + (-u + 2*u + u)*(-3 + 0 + 5 + u).\nAnswer: 12*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/52*(-16)\/(-90).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14282 - 1\/(-4)*(9 - 13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/7 + 116*j**4\/7 + 1006*j**3\/7 + 2236*j**2\/7 + 192*j = 0.\nAnswer: -48, -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + x + 2*x. Let k(h) be the third derivative of h**4\/8 - 5*h**2. Give d(k(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/2)*(h*h**(-4))\/h)\/(h**(-3)*h\/((h\/(h**(-2\/3)*h*h))\/h)) assuming h is positive.\nAnswer: h**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 49*h**3 + 31.\nAnswer: 49*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 396*s + 6333. What is x(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 4)\/(-3)*1. Let k be (-6)\/(-3) + d + 4. Suppose 2*z = 3*z - k. Solve -2*o + v = -0*o - 1, 2*o - z = -3*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 2254.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1472\/5 (b) 5 (c) 0.1 (d) 1\/6 (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 990 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3555 divided by 38485.\nAnswer: 711\/7697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -85, -160, -235?\n\"Answer: -75*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 22. Let s = 8 - g. What is the smallest value in 5, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 11\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = -3011 + 2851 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -3.5, 0.2, -40, -1\/7, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 3 (b) -1.2 (c) 213\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z - 27*z = -53*z + 110099700. Round z to the nearest ten thousand.\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -189*s - 53394. Determine x(-283).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13770 + -13476. Calculate the highest common divisor of 21462 and d.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (36 + -36 - -38 - -4)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25004, 50021, 75038, 100055?\n\"Answer: 25017*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -106.99999756. What is g rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 4*t**2 + 14*t + 7. Let n be k(-6). Let b = -289 + 286. Let z(q) = 7*q**2 + 9*q - 17. Let u(l) = -4*l**2 - 5*l + 9. Give b*z(d) + n*u(d).\nAnswer: -d**2 - 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.8. Let i = -0.01 - 0.027. Let p = 0.037 + i. What is the nearest to 4 in o, -1\/4, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0206737 * -0.02.\nAnswer: -0.000413474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o**4 + 2*o)*(-7 + 2 + 3) - o**3 + o**3 - 4*o**4.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -173\/3. Let d = 62.7 + -62.1. What is the closest to -0.1 in p, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.4, 0.067, -1 in descending order.\nAnswer: 0.4, 0.067, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -58*t + 10750. Let i(y) = -y. What is x(i(b))?\nAnswer: 58*b + 10750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*u - 3*x, 2*u + x = -2*x + 40. Suppose 0 = a + i - 15, 4*a - 75*i - 99 = -66*i. Solve 4*f + u = a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 83 = -203. Calculate the lowest common multiple of m and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 5)*(220*v - 1202*v - 196*v).\nAnswer: 3534*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 100\/(-10))*9\/(-5). Let b(q) be the second derivative of -g*q + 0*q**2 + 0*q**3 + 0 + 1\/6*q**4. Let n(i) = -3*i**2. Give n(b(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 5*m. Let a be j(-5). Solve 12*g - 5*g + 21 = a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.34 + 0.06. Let z = j - 0. Let r be (-6)\/(-14) + 10\/42. What is the closest to r in 3\/5, -2, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8 - (0 + 0)) + (-3024)\/(-288) and -9\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 32) + 33 - 28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 11*d**2 - 2*d + 38. Let y(i) = 4*i**3 + 21*i**2 - 4*i + 70. Determine -11*x(k) + 6*y(k).\nAnswer: 2*k**3 + 5*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/4, 22545\/4, -8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 730\/(-50)) + (-20)\/(-50).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350\/11 - 2186\/77. What is the closest to 0.1 in 0.09, v, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56060 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.98. Let p = 106\/55 + -589\/220. What is the closest to q in 1\/4, p, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 788\/((-8)\/(-2)) + 13 and 285?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -321*s + 337*s - 30080. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378295 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2040.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 790.881683 rounded to 1 dp?\nAnswer: 790.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 164 - 23?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (83\/415)\/(-2 - (-136)\/70)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 6, x: 1, p: 12}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 489, 1, -3, 4793 in ascending order.\nAnswer: -3, 1, 489, 4793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161604 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l - r, 2*l - 3*l - 4*r = 9. Let w(a) = a**3 + a**2 + 1. Let t(n) = -6*n**3 - 5*n**2 - 2. Calculate l*t(d) - 5*w(d).\nAnswer: d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - (-222)\/(2 + -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*q + 2*q. Suppose 4*d - q = 6*d. Is -2 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 11)*(-78)\/(-20). Which is greater: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -198, -50, 320, 1014, 2134, 3782, 6060, 9070?\n\"Answer: 17*g**3 + 9*g**2 + 2*g - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 19, 23 in increasing order.\nAnswer: -5, 1, 19, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {d: 1, i: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -5*f**3\/6 - 2*f - 91. Let b(v) = 3*v**2. Determine h(b(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22 + (-1 - (3 + -2))*-1. What is the remainder when 102*16\/18*18\/o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 2*d + 10. Let x be b(8). Suppose 3*k = -5*i + x, 105 + 3 = 3*i + 3*k. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x = 11*x - 71*x + 28224. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 8, -5*s + 3178 = b + 3189 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*z + 2, -5*z + z = 5*d - 10. Suppose -2*s - d = 4*v - 0, -v = -2*s - 12. Is v less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -2) + 2 + -3 + (-78 - (129 + -177))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*a + 4 - 4)*(-1 + 0 + 3) - 31*a - 66*a + 4*a)*(37*a - 10*a + 10*a) in the form p + f*a**2 + t*a and give f.\nAnswer: -3589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.03 in -1.6, -5\/3, 14?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/2 + f**3\/3 + 4*f. Let x(h) be the first derivative of 7*h**3\/3 + h**2 - 2. Give -5*c(w) + 4*x(w).\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 1261*l - 13 + 13660*l + 5754*l to x*l + o and give x.\nAnswer: 18153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-1 + (1 - 1)). Suppose -3*w + 156 = -y*h, 72 = w - 0*w - 5*h. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7843 < -227454\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 4, 0.4, -2\/15, -22098?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Suppose -g*w = 1 - 9. Suppose -w*s - 7 = -39. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 1 m when three letters picked without replacement from ttttttttntmttt.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173795 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3906*l + 27 = -3*k + 3903*l, 32 = -8*k + 2*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.0008 + -19. Round y to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*h + 5*h. Let d be 6 - (1*-1)\/((-12)\/36). Solve -2*f - d = u, -7*u + h*u + 7 = 2*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 151*d**2 - 330*d**2 - d - 274*d**2 + 14*d**2 to l*d + n + r*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a century in months?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -116925, -233844, -350773, -467718, -584685, -701680?\n\"Answer: -q**3 + q**2 - 116915*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 0.5, -1 in descending order.\nAnswer: 0.5, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-89 + 48)) + (1 - 82)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + y**2 - 6*y + 1. Let g be h(3). What is the derivative of g - 84*m**3 + 41*m**3 - 47*m**4 + 43*m**3 wrt m?\nAnswer: -188*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 9922*n + 1656*n - 734*n in the form w + q*n and give q.\nAnswer: 10844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0*g**2 + 3*g**2 + g**2)*(180 + 11*g - 180)*(-2 + 0 + 0).\nAnswer: 176*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*p = 103 - 10. Let c = 5 + 0. Put p, c, 1, -4 in ascending order.\nAnswer: -4, p, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556968182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*q + 6*a - 4*a, -2*q + a = -42. List the prime factors of 464\/5 + 4\/q.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/150 and 92\/3255225.\nAnswer: 6510450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287 + 149 - 95*k**2 + 50 + 40 + 48.\nAnswer: -95*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.2929\nAnswer: -0.5858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08235431 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d - 91. What is the remainder when t(15) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635460 times 0.5?\nAnswer: 1817730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c454b (base 14) to base 8.\nAnswer: -12005467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2010)\/(-216) - 8\/(-18))*24\/18. Solve 25*x + y = 63 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/28370 or 1?\nAnswer: -1\/28370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**3 - 2. Suppose 2*f - 3*l = -7*l + 14, f + l - 4 = 0. Let i(v) = -v**3. Let q(c) = f*n(c) - 2*i(c). What is the derivative of q(a) wrt a?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -1918, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 13*x**3 - x**2 - 14*x - 28. Let o be z(-3). Let h = 330 - o. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -304 - -331. Find the first derivative of 69*g - 38*g + r + 21 wrt g.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.8 - 6. Let i = 12 + -5. Let p = -6.6 + i. Which is the biggest value? (a) 0.3 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*v + 1085 = -185*v. Let t = 223 - v. Solve -h - 14 = t*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (1 - 6 - -1) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -19*q**2 + 840*q + 79. Let u be r(44). What is the highest common divisor of u and 680?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.8 + -147?\nAnswer: -172.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -53363 equal to -56041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 36 - 21 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-94)\/(-141))\/((-1)\/(-15)). Solve 6 = k*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/139, 0.5, 0, 6\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*n**6 - 2*n**3 + 1900*n**2 wrt n.\nAnswer: 2760*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/10, 0, -160\/39, 1487?\nAnswer: 1487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = -3*a. Let j = a - -6. What is the derivative of 3*t**4 + 1 - t**4 + j - 1 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.842 - -1.106. Let m = -0.052 - b. Sort -3\/7, 1\/8, m in increasing order.\nAnswer: m, -3\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14413429 equal to -14413429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 507 + 490 = -i, 4*i - 4 = 4*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 13. Let r(k) = -k**3 - 6*k**2 - 8*k - 5. Let h(p) = 3*p**2 - 6*p - 6. Calculate the remainder when h(5) is divided by r(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1069648 and 29\/7784.\nAnswer: 1040767504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7555*n**3*p - 35*n**3 - 203443*n**2*p wrt n.\nAnswer: 45330*p - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9370951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 - 75 = -3*h, -2*v - 60 = -2*h. Let r = -25 + h. Suppose -4*g = r*d - 456, 1 = -2*g + d + 233. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -925 + 1049. Let d = 9 - -94. What is the second derivative of q*n + 3*n**2 + 3*n**2 - d*n wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.43 - 0.03. Let g be ((-3)\/(-2))\/((-6)\/12). Let d = 0 - -1. Which is the nearest to 2? (a) i (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*r + 10, 3*a + 4*r - 10 = -2*a. Suppose 20 = 3*l + a*l. What are the prime factors of 48 - (-2 - (-16)\/l)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 250 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145226\/97 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*23*20. Suppose -z = -5*x + 3*x. Suppose 7*b - 2*b = x. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5\/2*h**4 - 15*h + 0 + 65\/4*h**3 + 85\/4*h**2 = 0.\nAnswer: -4, -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 10*c**2 + 13*c - 11. Let w be k(11). Suppose -19 = 5*z + w. Sort 1, 2, z in descending order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -135\/121 (b) 0.3 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -56\/15?\nAnswer: -56\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2632\/(-141))\/((-147)\/(-36))?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8553 or 8554?\nAnswer: 8553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 12823 = 4103. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(26\/5)\/(f*f\/(f\/(f*f**11))) assuming f is positive.\nAnswer: f**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 83 = 5*d, -1 + 8 = -d + 3*u. Let q = d + 83\/5. Let s = -1 - -1. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (94 - 24 + 17)*(2 - 2 + 2*g) in the form r + h*g and give h.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 9 - (1 + (0 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**4\/6 - 2*z**3\/9 + 2*z**2\/3 - 3818. Factor u(t).\nAnswer: -2*t*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*c**2 - 4*c + c + 3*c + 136*c**2 in the form s*c + d*c**2 + b and give d.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/8*312\/2184?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + 0 - -3)*(261 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbwbbbbw?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:04 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -195, -772, -1735, -3084, -4819, -6940?\n\"Answer: -193*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20649*z + 41251*z - 2*z**3 + 0*z**2 - 20602*z + 0*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 70*h**2 - 148*h + 849. Determine f(68).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5540397 and -1516.474?\nAnswer: 5541913.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (53 + -24 - 15) + -40 - -59\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*y - 1017*y = 1017*y + 948*y - 311880 for y.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 358386 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/5 - 8*b**4\/5 - 3*b**3 + 8*b**2\/5 + 16*b\/5 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -11. Let w = -3 - -4. Let c(x) be the third derivative of x**4\/4 - 5*x**3\/6 + x**2. Let f(b) = b - 1. Calculate s*f(m) + w*c(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5) + 0)**2 + 2.\nAnswer: 6*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/38440?\nAnswer: -9\/38440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000611487705 rounded to 7 decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9251436 or 18502873\/2?\nAnswer: 9251436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhxxhkhklxkkxk. Give prob of sequence kxhh.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15993 - -15993.00000002514. Round h to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1.915?\nAnswer: -1.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-261)\/87)\/((-3)\/(-8) - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 4*j**2 + j. Let q be p(4). Suppose z - q - 10 = 0. Let i = -59 + 63. Put z, i, -4 in descending order.\nAnswer: z, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = b - 7, -51 = -3*m - 5*b - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -188\/17, 4, -3, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 36 = -3*m. Let r be 3 + 37 + -14 + 10. Calculate the highest common divisor of m and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -113*s**2. Let x(o) be the first derivative of -2*o**3\/3 - 2758. Determine f(x(b)).\nAnswer: -452*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/30 and 103\/3312.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-8 + 6) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 406. Let i = 329 - u. Solve 0 = 46*z - i*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*t + 7*t = 7, 0 = -3*v - 3*t + 21. Suppose 26377447 = -v*w - 19742215. Let z = w + 13459831. Round z to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 35 = r, 4*r + j + 2*j - 89 = 0. Let s(a) = a**3 - 21*a**2 + 22*a + 1. What is the units digit of s(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/36 + -1)\/(2210\/(-1989))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aflda. Give prob of sequence lfaa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486623?\nAnswer: 7, 498089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9590 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4234719945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*y - 330*y + 9 = 0. Find the second derivative of -43*s**2 + 3*s**4 + 83*s**2 - 10 - y*s - 2*s**4 - 41*s**2 wrt s.\nAnswer: 12*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**2 - 1 - 2*o**3 + 6*o**2 + o**4 + 0*o**3 - 3*o**4 as m*o**2 + f + l*o**3 + s*o + t*o**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9133 + 0.0733. Let c = 0.1 - -0.06. Let y = d - c. Put y, 2\/3, 0 in increasing order.\nAnswer: y, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10967 = -3*y - 2276. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and 3.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**6\/1080 + j**5\/360 - j**3\/2 + 4*j. Let t(m) be the second derivative of c(m). Find f, given that t(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*d - 66 = 0, -t - d + 3*d - 35 = 0. Let l = -38 - t. Solve l*m = m + 5*a + 9, -a - 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = f, -2*f - 41 = p - 66. What is the smallest common multiple of (3\/2)\/((-3)\/(-6)) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + 6*2*sqrt(1200) - sqrt(1200) - (sqrt(1200)*-2 + 3))**2*-6 + 4 + -5.\nAnswer: -1411255 + 10080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8850 and -89\/20.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 145 = -53*s. Calculate the remainder when 172 is divided by ((-5)\/10)\/(s\/(-92)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1238, 1254, 1278, 1316, 1374?\n\"Answer: j**3 - 2*j**2 + 15*j + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -0.52, 1\/7, 0.03?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 255\/(-68)*(-44)\/(-33). Let g = -0.28 - -0.31. Which is the second smallest value? (a) x (b) -0.06 (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1471241330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 19*t + 25. Let r be 2\/((-6)\/(-9)) + 1. Suppose 3*v - r*y - 37 = 0, -2*v - 5*y = 3*v - 120. What is the remainder when v is divided by h(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 141, -12, 10 in increasing order.\nAnswer: -12, -5, -3, 10, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 3 + (-3365)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:29 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + x**2 + x - 1. Let y(n) = -n - 1. Let i(j) = -m(j) + 3*y(j). Suppose -62*a - 88 = 44 + 54. Give i(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6998, 6362, 5348, 3950, 2162, -22?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0.21 (c) -3\/2 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1083 + 2760. Calculate the remainder when a is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 381 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79096851 is divided by 255.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4215*t**3 - 971*t**2 + 2*t wrt t.\nAnswer: -25290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2305843us?\nAnswer: 0.0002305843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*s - a + s**3 - 187497*s**2 - 141104 with respect to s.\nAnswer: -a + 3*s**2 - 374994*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23233489 divided by -9.\nAnswer: 23233489\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2. Suppose -5*h = -3*h - 4. Suppose 5*a + 26 = y, -y - h*y = 2*a - 44. Let x(m) = -2*m - 11*m + y*m. Calculate r(x(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/71945013 or 1?\nAnswer: 10\/71945013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45642510 divided by 2?\nAnswer: -22821255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206.0436 + -0.0436. Let j = d + 0. Let u = j - 205.9999833. Round u to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -14 + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1657.392 meters to centimeters.\nAnswer: 165739.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*v - 172, -2*z - 5*v + 130124 = 130346 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 22113302?\nAnswer: -22113320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4235, -167 in increasing order.\nAnswer: -4235, -167, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - b - 5*b)*(-2 - 2*b + 2) + 5*b**2 - 4*b**2 + 0*b**2)*(-3*b**3 + 454*b - 454*b + 5).\nAnswer: -21*b**5 + 35*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 0.5, -2\/37, 4, 9, 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(2250\/(-27)))\/(18\/100*230\/276)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 - -2. Let w = 1.21 - 0.21. Which is the nearest to w? (a) z (b) 2\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 2*m**2 + 890*m - 2718. Determine f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*m + 12. Let b(u) = -7*u + 33. Let w(s) = 36*s - 166. Let v(r) = 10*b(r) + 2*w(r). Let d(p) = -p**2 - 3*p + 3. Determine m*v(f) + 2*d(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (247*n**3 + 23661 - 23661)*(n + 11 - 11) as o + l*n + k*n**2 + y*n**3 + c*n**4 and give c.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 + 898 = 2*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at least as big as -32550\/1193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/((((b*b*b\/(b\/(b*b**7)))\/b*b*b)\/b)\/b*b))\/(b**(-25)*b**(-6)\/b) assuming b is positive.\nAnswer: b**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i. Let f(k) be the second derivative of 2*k + 0*k**2 + 0 - 1\/6*k**3 + i*k**4 + 1\/5*k**5. Find the second derivative of f(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 5738?\nAnswer: 5738.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 3*w**4\/4 - 2*w**2 + 13. Let z(n) be the first derivative of -n**4 + 5*n**2\/2 + 1. Give -5*y(j) - 4*z(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 910 and 293202091?\nAnswer: 2932020910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 13784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (24\/(-4) - -1)*-45 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -3*m**2 + 2*m + 11. Let h(i) = -i + 1. Let t = -297 - -298. Let g be (-6)\/(-15) - (-44)\/(-10). Determine g*h(o) + t*b(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15913*a - 143222. What is c(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6089 * -1.\nAnswer: 6089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 8405*b**2\/4 + 354855*b + 14981805 = 0.\nAnswer: -3462\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5234, 0.305, 1\/5 in decreasing order.\nAnswer: 0.5234, 0.305, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 6*y**2 - 2*y + 6. Let g be q(-2). Let h be (2\/(-35))\/(g\/(-30)). Which is the closest to h? (a) -1\/13 (b) -0.2 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.56519 and -0.3.\nAnswer: -0.469557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*-4*-2*sqrt(17)*5.\nAnswer: -240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 2430 = -10*o. Let t be 18\/o - 1\/(30\/(-3956)). Let p = t + -130. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3088853 and -0.01673266.\nAnswer: 3088852.98326734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 2*u**2 + 1. Let x(a) = -a**3 + 3*a**2 - a - 1. What is -3*g(o) - 2*x(o)?\nAnswer: -o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. What is the first derivative of 0 - b + 5*s**2 + 3 + 4 wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1029\/(-145) + (-1642)\/(-8210)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + 2*sqrt(76))*-3 + -1*(sqrt(76)\/(sqrt(4) + sqrt(64) + sqrt(4)) + sqrt(19) + sqrt(19)))*-2)**2.\nAnswer: 201571\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-150)*(-336)\/(280\/(-10)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 8 = 3*i, -4*i - 2 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 3*w**3 + 3*w**2 - 2*w**3 + 2*w in the form j*w**3 + d*w**2 + m*w + r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640714804.\nAnswer: 2, 1283, 124847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k - 480. Let i(p) = -p + 40. Determine 25*i(q) + 2*o(q).\nAnswer: -5*q + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1794675 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2511\/(-2790)*(-15)\/(-6).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8504100 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/200*-5)\/(3\/(-30)*21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 30. Let h be y(14). Solve -z = -4*g + 2*z + 2, -z + h = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -303504469, -303504470, -303504471?\n\"Answer: -c - 303504468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.5274485 rounded to 1 dp?\nAnswer: 516.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 0)**2 + ((sqrt(1125) - sqrt(45) - sqrt(45) - sqrt(45)) + sqrt(45))\/sqrt(9) - (((sqrt(960)*1)\/sqrt(3))**2 + -4).\nAnswer: 3*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14024117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 - 1244 = -4*b. What are the prime factors of b?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, 0.3, 3\/13, 4\/3, -0.0585?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 266?\nAnswer: -5\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6*d - v - 11 = 0, -d + 1 = v. Calculate the remainder when 17 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*2\/36)\/(9\/(-27))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(-5 + 1 - 1)*(-6*y + 14*y - 3*y).\nAnswer: -100*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + 18. Let m = s - 44. Let h = 6.8 + -7. Which is the smallest value? (a) 1 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523283034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278769.\nAnswer: 3, 43, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -15*h + 31. Let o(u) = u**3 - 5*u**2 + 3*u. Let w be o(2). Let n(a) = 7*a - 15. Let i(r) = w*s(r) - 13*n(r). What is the units digit of i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-54)\/(-9))\/(2 + 0). Sort p, -14, 6 in increasing order.\nAnswer: -14, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44806*u**2 + 30704 wrt u?\nAnswer: -89612*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171917*p**3 + 343730*p**3 - 171934*p**3 + 0*p**2 - 2*p**2.\nAnswer: -121*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from bvxevvveevxvvxbvx?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 13, 281.6 in decreasing order.\nAnswer: 281.6, 13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389*3 - 0 - (88 + -93).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Let t be q(1). Let j be 0\/(-4) - 4\/t. Suppose -j*z - 256 = -2*w, 3*w - 2*z = 97 + 292. Round w to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-15) - 74\/(-51). Is -1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + m + 9258 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -31*k**2 - 18*k - 82. Let p(x) = 108*x**2 + 54*x + 247. Let s(u) = -7*o(u) - 2*p(u). Let s(z) = 0. Calculate z.\nAnswer: -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j + 3*f + 185 = 0, -877 = -5*j - f. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 43 = 3*t - t, t + b = 26. Suppose -5*u + p + t - 1 = 0, 0 = u + 2*p - 11. Suppose -4*w + 81 = w + o, 83 = u*w + 3*o. Solve 0 = 4*r - 0*r + w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05468031 and -0.15.\nAnswer: 0.0082020465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128 + 126)\/((-6)\/(-4))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468928 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 36. Let r(o) = -2*o - 20. Let n(u) = 3*l(u) - 5*r(u). Calculate n(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 456*o - 12 = -458*o, -27*o + 162 = -3*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**4\/6 - 3*f. Let c(z) be the second derivative of -13\/12*z**4 + 0*z**2 + 0*z**3 + 0 - 3*z. Determine j(c(l)).\nAnswer: -338*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*j + 172, 4*s - 6*j = -j + 144. Calculate the highest common factor of 287 and s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 23 + 49 - 26. Let m(q) = q**2 + 2. Calculate o(m(a)).\nAnswer: 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 3. Let v be o(-5). Let z(w) be the third derivative of -w**4\/24 - w**3\/3 - w**2. Let p(j) = -j**2 + 5*j + 8. What is v*p(q) - 9*z(q)?\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749189 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 623 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-14 + 10 - -23) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.6 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 261 + 255 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/8 - 6202\/(-112)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083429 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 5:00 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 11. Let n be 10\/4*(6 - -12). Suppose -5*f - 10 + n = b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 38\/11, 2\/9, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829*t**3 + 899*t**3 + 835*t**3 - 2561*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 71, 332, 835, 1658, 2879, 4576, 6827?\nAnswer: 9710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*a**6 + 33*a**3 - 363*a**2 + 1?\nAnswer: -11760*a**3 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 105, -3\/2, -1\/2 in ascending order.\nAnswer: -3\/2, -1\/2, -2\/5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {e: 1, s: 2, r: 4, t: 3, o: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/6 and 67\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (83 - 37 - 73).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let w(t) be the second derivative of t**3\/6 + t. Let c(v) = 10 - 6 - v**2 + v - 4. Let o be c(2). Determine o*p(a) + w(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 6. Let f be c(8). Let l be 2 + f*26\/12. Let t be ((-6 - 2) + 5)\/1. Sort t, 0.5, l in decreasing order.\nAnswer: 0.5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2, 5*i = 5*f + 6*i - 153. What is the highest common factor of f and 372?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -851669 + 3?\nAnswer: -851666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 27594*b**2 + 27603*b - 55194.\nAnswer: -3*(b - 9199)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65911 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -68.4, 0, 0.1 in ascending order.\nAnswer: -68.4, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 128441019 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 + y. Let w(z) = -6*z**3 - 12*z**2 + 12*z. Give 12*l(f) - w(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115320 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/10, 42\/5 in descending order.\nAnswer: 42\/5, 4, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 q, and 1 m when four letters picked without replacement from tteqcmtqqemq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36793948099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10094\/5 not equal to 2019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1079*f - 2485. Determine h(3).\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106863 and 6965.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**2 - 2*t**3 - t**3 + 2*t**2 - 10 + 7*t + 4*t**3. Let a be q(9). Let w be (4\/7)\/((-8)\/a). Let n(k) = -3*k - 1. What is n(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0355384558 rounded to 5 dps?\nAnswer: 0.03554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 29*h**2 - 14*h + 127. What is f(-15)?\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2828913.63 + 10.4.\nAnswer: -2828903.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24 + 30976\/1122 + -3 and 29\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/(-28)*(-16)\/(-6). Let z = 11 - g. What is the units digit of z - (-1 - 3)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4174434769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {y: 1, k: 4, g: 1, m: 3, n: 3, j: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 15, -13, -45, -81, -121, -165?\n\"Answer: -2*m**2 - 18*m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-27)*s\/((s\/(s**(12\/5)\/s))\/s))\/(s**(-9\/2)\/(s**(-4\/7)*s)) assuming s is positive.\nAnswer: s**(-1377\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 150497 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-12) - 118\/(-354).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13244, -13242, -13236, -13226, -13212, -13194, -13172?\n\"Answer: 2*r**2 - 4*r - 13242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 60, 91?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/1 - (8 + -7) - -26. Suppose 2*d - 5*c = 25, 5*d + 3*c = -8 - 7. Suppose -5*n + x + 44 = d. Calculate the highest common factor of 105 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*z - 646*z + 3225*z - 644*z - 647*z - 648*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 139, 120, 99, 76?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzxgi. Give prob of picking 1 g, 1 z, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 45169 = 14615. Let g = r + -1718. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 2, s: 3, o: 1}. What is prob of sequence ss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v + 5*s - 196, -s = -v + 58. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-18) - (-4)\/18. Let d = -993 - -994. Solve -2*i - w + d = 0, -i + 2*w = 3*w - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185972 or -186296?\nAnswer: -186296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 2 + -471 + 476.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1619\/39 + -336\/13. Suppose 5*w + 3*m = 88, 6*w - 3*m = 4*w + 31. Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3 - 5*z + 7 + 2*z**2 - 7*z**2 - z. Let h(p) = -15*p**2 - 17*p + 12. Let r(a) = 6*h(a) - 17*w(a). What is the derivative of r(l) wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 = 28. Suppose 0 = -0*l - l + 5. Suppose 42 = -4*a - 2*z, l*a - 5*z + 3*z = -30. Is a at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137701308 divided by -1\nAnswer: 137701308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4720340 (base 10) to base 14.\nAnswer: 8ac352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o + 2*o**3 + (1 - o - 1)*(-58*o + 58*o - 9*o**2) - 2*o + o**3 + 2*o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l - 207 + 232 + 423 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 134, -4, -5 in decreasing order.\nAnswer: 134, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 87. Let q(g) = -2*g - 5. Suppose -4*d + 14 = 3*d. Let x(f) = 4 + 7 - 2 + d*f + 2*f. Calculate h*q(p) + 6*x(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-50)\/8 + 4)\/(-2 - 1). Factor -j*s**3 + 0*s**2 + 3\/2*s**4 + 0 + 0*s - 3\/4*s**5.\nAnswer: -3*s**3*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**7\/420 + 7*l**6\/180 + l**5\/10 - 4*l**3\/3 + 41*l. Let f(n) be the second derivative of i(n). Factor f(s).\nAnswer: 2*s*(s + 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76555 divided by -2\nAnswer: -76555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-279)\/(-72) + 1\/8. Suppose 3*j + k - 13 = 0. Factor 5*b**2 - 3*b**2 - 2*b**2 - 2*b + 2*b**j.\nAnswer: 2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332 times 0.7\nAnswer: -232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90230?\nAnswer: 2, 5, 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 2*k. Let b(m) = 2*m**2 - 21*m - 13. Let p be b(11). Let i(w) = 3*w**2 - 2*w. Determine p*s(q) - 3*i(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/20)\/(1\/26). Find the second derivative of -11*i + 20 - 20 - o*i - 16*i**5 wrt i.\nAnswer: -320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 + 273. What is the tens digit of (13840\/h)\/((-2)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -833022, -1666047, -2499072, -3332097, -4165122, -4998147?\n\"Answer: -833025*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 825*d. Let b(m) = m + 7278. What is p(b(t))?\nAnswer: 2*t**2 + 28287*t + 99934218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 5242.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14403180 and 2780.\nAnswer: 14403180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:51 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360881 is divided by 115?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/9 + 972794*x\/9 - 32757532\/3 = 0.\nAnswer: -486498, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {r: 3, v: 13, d: 4}?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1626106, -1626102, -1626096, -1626088, -1626078?\n\"Answer: a**2 + a - 1626108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.446 rounded to one dp?\nAnswer: 30.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 727*o - 10175. Suppose -i = 2*i - 6. Suppose -162 = -i*u - 2*n, 4*n + 365 = 5*u + n. What is the least common multiple of u and g(14)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5. Let v(j) = j**3 + 5*j**2 + 6*j + 6. Let q be v(-4). Put q, 1, z in decreasing order.\nAnswer: 1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3584 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 348600?\nAnswer: 348596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(-2\/91)\/(j*j*(j\/j**0*j)\/j*j)**27 assuming j is positive.\nAnswer: j**(-29488\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4790, -9598, -14560, -19748, -25234, -31090, -37388?\nAnswer: -44200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 9) to base 7.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45604 to two dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**3 - 91*g + 2 + 61\/12*g**4 + 0*g**2. Let f(d) = -d**2. Calculate a(f(y)).\nAnswer: 61*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21110231 + 200?\nAnswer: 21111031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 64 + 2*f - 2*f**4 + 5*f + 65 to h*f**2 + g*f**4 + z*f**3 + r + k*f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/16 + (-3)\/12. Suppose -l = -2*j - 0 + 6, -d*j + 5*l = 0. Suppose g - 4*g + 5*t + 9 = 0, 0 = -4*t. Solve g*p - j*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5998 (b) -4\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167 + 169. What is the third biggest value in i, -2\/27, 2\/9?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -89.8. Is 3 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g**3 - 3*g + 3*g + g**3 + 4*g**3 - 3*g**3 + (3*g - 3*g - 2*g**2)*(g - 2*g + 3*g) + (-2*g**3 + g**3 - g**3)*(-5 + 3 + 4).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011110001001111 (base 2) in base 16?\nAnswer: 33c4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 3*j)*(-19*j**3 + 4731 - j**4 - 4731 - j**2).\nAnswer: -j**5 - 19*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/19)\/(z*z**(8\/11)))\/(z**(-28\/9)*z*z*z**(-12)*z) assuming z is positive.\nAnswer: z**(19433\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3247 - -72?\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*x - 4*x = -31, 4*x = r - 13. Suppose 4*a - 8*a + 8 = 0, -3*a + 18 = -3*n. Let s = 92 - 94. What is the nearest to n in 0.1, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkx when three letters picked without replacement from kkkkkkkkkkkkkkkxxkkk?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 938 and 23718?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + 3\/((-30)\/(-4)). Is l bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 898, 508, 118?\n\"Answer: -390*y + 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 15, 56, 125, 228, 371?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47841 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 357 + -338.8. Let z = 17.8 - u. Let o = -1 + 3. Sort -6, o, z.\nAnswer: -6, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 3. Let p be k(-1). Let z be (43\/p)\/(2 - (-9)\/(-4)). Let n = z - 39. Calculate the smallest common multiple of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 1\/6*y**3 - 47\/2*y**2 + 0*y**5 + 0*y**4 + 0*y**6 + 0 + 38\/21*y**7 + 62*y. Find the second derivative of h(w) wrt w.\nAnswer: 1520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**3 - 22*o + 7. Let k(r) = 6*r**3 + 26*r - 8. Give -3*k(z) - 4*w(z).\nAnswer: 2*z**3 + 10*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s - 4. Suppose 3*p - s*p - 14 = -5*w, 4*w = -2*p + 10. Let h(r) be the third derivative of -r**5\/60 - r**4\/12 + 2*r**3\/3 + 605*r**2. Give h(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c + 3*g - 15, 0 = 5*g - 10. Solve -c*m - 4 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 + 6*z**2 + 10*z - 15. Calculate the remainder when u(5) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 64 + 104. Suppose -h = -18*z + 30. Suppose 0 = 3*q + 4 - 22. Solve -3*f = -q*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32366 is divided by 6461.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -3*h - 120. Let y = 124 - h. Factor 39*t**2 + y*t**3 - 209*t**3 - 15*t**2 + 12*t + 3*t**4.\nAnswer: 3*t*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 13*a + 66 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91.084 - 1.184. Let i = 7.9 - k. Let b = i - -80.14. What is b rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 2*d - 1. Let f be p(1). Suppose -3*a = -3*i + 3, 0 = f*i - 0*i - 12. Solve -7 = 4*j - a*s, j + s = 5*j - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w + 17 - 16. What is the nearest to 0 in 0, w, -653?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71627 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4 + 252*i**3 - 9555*i**2 - 813600*i + 4273500 = 0?\nAnswer: -74, -70, 5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -209*w + 214*w. What is the biggest value in w, -0.2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-63) - ((-495)\/35 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 468 = -6*m. Suppose -z = -142 - m. Calculate the greatest common factor of 88 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -1856*w**2 + 5069*w - 831. Differentiate m(d) wrt d.\nAnswer: -3712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 22*c**3 + 68*c**2 + 37*c + 125. What is n(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 10*n + 6)*(-n - 3*n + 3*n + (-2 + 3 + 0)*(2*n - n - 2*n) - 2*n + 0*n + n) to p*n + g*n**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 27 + 9 = 2*d, 3*j = 5*d + 9. Let r be 1*((-1)\/(-1))\/1. Sort r, -14, d.\nAnswer: -14, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 48 + 8 = 25679*a - 25681*a, 0 = 3*a + 12 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 828, 605, 242, -255, -880, -1627?\n\"Answer: s**3 - 76*s**2 - 2*s + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22279937 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/3*(-153648)\/32010.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ac (base 13) in base 2?\nAnswer: -100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -x + 3 + 9, 4*x + 12 = 3*k. Solve -k*q - 4*d - 11 - 13 = 0, 2*q + 3*d + 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(3 + 2 - 3) - 2 - 3 + 3)*(-129*y**5 + 354*y**5 - 120*y**5) + 0*y**5 - y**5 - 3*y**5.\nAnswer: -634*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5580 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 4. Suppose 0 = -6*s + 69*s - 126. Let a(b) = 5*b - 20. Calculate s*a(c) + 11*v(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/105926890 and -145\/127112268?\nAnswer: 635561340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343973272.\nAnswer: 2, 31, 41, 33829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*a**3*u**5 - 4*a**3*u - 1795*a**3 - 6*a*u**2 + u**6 wrt u.\nAnswer: 7020*a**3*u**2 + 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h + 3*h - 5*h - 2*h + 0*h. Let p(u) = 2 + u**2 - 2. What is q(p(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130896.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 + v + 4. Let h(m) be the third derivative of m**5\/10 - m**4\/12 - 5*m**3\/6 + m**2. Let c(w) = -9*w + 31. Let i be c(4). Give i*f(o) - 4*h(o).\nAnswer: o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -997729400 rounded to the nearest one million?\nAnswer: -998000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1. Suppose -b + 10 = -0*b. Let u = b - 8. Let y(d) = d - 2. Calculate u*y(t) + 3*v(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 440303 (base 5) in base 11?\nAnswer: 10368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 5*r**4\/24 - 5*r**2. Suppose -5*m = 4*c - 13, 4*m + c = -3 + 9. Determine f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 2307*u - 2 + 2 + 285*u + 1287*u.\nAnswer: -u**2 - 735*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*d - 74*d + 34*d + 324 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0)\/(16\/10 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -52?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from tiieiittiiittei.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Let p = t + -2. Suppose p = -2*i + 7*i - 25. Is 4 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1096 and 1632?\nAnswer: 223584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5674337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101000001001000 (base 2) in base 13?\nAnswer: 899b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l - 2*l. Let z(q) = -l + 1 + 15*q - 10*q. Let f(c) = -c**2. Determine z(f(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - -2 - (5 - -1). Solve -3*b + z = 9, -b + o = 2*z + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671407 is divided by 98.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1065\/938 + -133\/134. What is the second smallest value in -2\/11, k, 0, 3\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + -64 + 21 + 94.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 + -24 + (0 - -6)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**7\/840 - l**6\/40 - l**5\/30 + l**4\/8 - 9*l**3\/2 - 13*l. Let p(s) be the second derivative of v(s). What is p(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4943623*t**3 - 1264201 wrt t?\nAnswer: -14830869*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18477022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2798 - 2797.998059. Round m to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - k, 4 = 3*b + k + 2. Let x = 0.41 + -0.01. Let g = -25018\/9 + 2780. What is the closest to g in x, -2\/3, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-4 + -92)\/(-4). Let y be ((-65)\/d)\/((-1)\/5). Let w(a) = 30*a - 37. Let i be w(6). What is the greatest common factor of y and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d5715 (base 14) to base 9.\nAnswer: -2883262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7977.977 weeks?\nAnswer: 55845.839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383419?\nAnswer: 383419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 114\/71 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/120 - u**5\/20 + 5*u**4\/24 - 2*u**3\/3 - u**2. Is v(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 + -10?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/(-7 - -10). Suppose -6 = -m - 0*l + 2*l, 2*m - 6 = -2*l. Let y(j) = 2*j**2 + 16*j + 2. Let z be y(-8). Solve z*o + h*o = -m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.19 in 0.3, 4\/7, 7219?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(75)*2 - sqrt(75)))**2.\nAnswer: 30*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o + 32 + 5*o - 32 - 25*o + 9*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.14964 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -5.\nAnswer: 608\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/11095 and 61\/9.\nAnswer: 99855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/12320*14)\/(-5).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/260 and 49\/2145?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 5:50 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661529 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*t = t - 73, -4*t - 130 = 5*k. Let f = -18 - k. Does 4 divide (f + -24)*(-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 11*i**6\/30 - 13*i**5 + i**4\/12 - i**3\/6 - 120*i**2 - 95*i - 17. Find the third derivative of v(t) wrt t.\nAnswer: 264*t - 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 10. Let p be f(3). Let o(i) = 3 - 8*i - i - 25*i**p + 23*i**2. Let d be o(-4). Solve -5*h = -d - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1990980\/11 + -180733. Let s = i - 265. Which is the third smallest value? (a) s (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -6*t + 9*t - 24, -5*r - 35 = -5*t. Suppose -3*h = h - 8. Let o(c) = c**3 - 2*c. Let g be o(2). Solve -h*b - 16 = -3*b + t*l, 5*b - g*l = 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 19*x**2 + 7*x - 52. Let z be i(20). Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 159, 305, 455, 609, 767, 929?\n\"Answer: 2*t**2 + 140*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*m = -2476 + 2444, 0 = -4*x - 5*m - 3 + 43 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2566 * 0.1\nAnswer: 256.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -121\/5. What is the common denominator of 61\/6 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-2) + 1760\/110 + (-354)\/(-342)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*f**2 - 59*f**2 - 3*f**2 - 15 with respect to f.\nAnswer: -78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15240167 and 10581.\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439584 is divided by 231?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n + 0 + 0 - 6*n + 3 - 3 + (0*n + 3*n + n)*(-4 + 1 + 2) - n - n + 0*n - 3 + n + 3.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from {f: 2, z: 2, x: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -22. Let g = -1 - -4. Solve -11 - 8 = -q + g*n, n + h = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most 0.0018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k - 179. Let w be l(-22). Put 5, 1\/3, w in ascending order.\nAnswer: 1\/3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 12 = -20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 10*p - 1. Let v(x) = -3*x**2 - 9*x. Let g(o) = -4*b(o) + 5*v(o). Let j be g(4). Put 4, 3, j in ascending order.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1. Let z(q) = -62*q + 27*q + 37*q - 2. Give 6*w(j) + 2*z(j).\nAnswer: 4*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 516508*w + 2065968.\nAnswer: 4*(w + 4)*(w + 129123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 123*t + 4405. Is q(0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/48 - 103*x**3\/24 - 245*x**2\/4 - 2*x + 160. Factor o(u).\nAnswer: -(u + 5)*(u + 98)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(2\/7)*u)*u))**(-5\/9)*u*u*u\/((u\/(u*u**2*u*u)*u)\/u)*u**3)**(-19) assuming u is positive.\nAnswer: u**(-11780\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1168*n**5 - 2*n**3 - n**2 + 406?\nAnswer: -70080*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6214, 6215, 6216, 6217, 6218, 6219?\n\"Answer: y + 6213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1 + -1 - (-29 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43545539 and 5583?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-141 - -66) - -144?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68, 48, -8, -118, -300, -572?\n\"Answer: -3*a**3 + a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(72\/(-20)))\/((-28110)\/(-3748)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(-4))*j**(-3\/2)*(j*j\/(j**6\/j))**25 assuming j is positive.\nAnswer: j**(-161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59973, 120011, 180079, 240195, 300377, 360643, 421011?\n\"Answer: 3*l**3 - 3*l**2 + 60026*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 15*r**2 + 12*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 121 = -5*r, -r - 2*y + 17 = -0*r. Let v = r - 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-36))\/((-4)\/90)*(-250)\/450.\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose 0 = -u*a - 3*h - 4429, 0 = 4*a - 4*h + 5033 + 3835. Let r = -1051 - a. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44)\/55)\/((-2)\/10). Suppose g - m*j + 5 = -4, 3 = j. Solve 12 = -g*t, 0 = -2*n + 4*n - 3*t - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -6dc?\nAnswer: 6e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4812*g = 173175 + 57 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.974357 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d**4 + 3*d**4 + 4*d)*(3*d - 4*d - 2*d).\nAnswer: -6*d**5 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3*c + 7 + c + c to the form a + s*c and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 8) to base 14.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 15. Let r(h) = 8*h - 1. Let x be r(2). Suppose 5*w + 4*p = x + 5, 4*w + q*p - 7 = 0. Is 8 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 50. Suppose 5*w - y - 17 = 0. Is (-2)\/w + 1858\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 155311498*q**3 - 173974863 wrt q.\nAnswer: 465934494*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52040211\/77 not equal to 675847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -6)*3*-1. Is (-1)\/s*(2 + 1441) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7200.5 and -59?\nAnswer: 424829.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 110, 93, 58, -1, -90, -215?\n\"Answer: -d**3 - 3*d**2 - d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.5213886, 0.19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 9*m - 6. Let f be t(8). Let u be f*12\/(-8) + -2. What is the greatest common factor of u and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 1. Let x = -1 + 4. Let t(u) = 1 - u - x - 4. What is t(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y - 1. Let z(n) be the third derivative of n**5\/10 + n**4\/4 + n**3\/2 + 22*n**2. Suppose -56 = 2*g - 48. Determine g*c(b) - z(b).\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(sqrt(19)*3)**2.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:32 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3715, -7385, -10995, -14545, -18035, -21465?\nAnswer: -24835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:16 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 + 4*k**2 + 4*k + 4. Let u(t) = -49*t**3 - 63*t**2 - 63*t - 63. What is -63*f(o) - 4*u(o)?\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -293, -480, -663, -842?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9951 divided by -3\nAnswer: 3317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*p**4 + 5*p**3 - 10*p**2 - p**3 - 4*p**3 wrt p?\nAnswer: 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 10. Let t(m) = 4*m - 2 - 4*m - 2*m. What is the units digit of t(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.5 - 33. What is the smallest value in -5, 0.4, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 4*q - 2. Let d be i(4). Suppose 105*v = 122*v + 3077. Which is greater: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5*3\/(-20))\/((-3)\/(-8)). What is the third derivative of -13*o**3 + 21*o**i + 27*o**3 + 27*o**2 + 39*o**3 wrt o?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 2*p + p - 3*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 9*f - 4. Let l be c(8). Suppose l*m = 8*m + 4960. What is m rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -14892 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/20 + v**4\/4 + 37*v**3\/6 - 3*v**2 - 19*v + 1. Let t be h(7). Calculate the greatest common factor of 38 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(5) + 5 + 2)**2 + (sqrt(45) - (sqrt(45) + sqrt(135)\/sqrt(3)*-6))\/(sqrt(81)\/(sqrt(9) + -2*sqrt(9))) + -4 + -2.\nAnswer: 50*sqrt(5) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 204 = 21*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -803 - -1508. Let h = c - 312. List the prime factors of h.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*q + 10 = 0, -3*r + 5*q + 0*q + 15 = 0. Suppose 0 = r*a - 2*a. List the prime factors of 3 - ((3 - a) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 7*u + 9. Let s be q(-8). Let o(m) = 1860*m**3 + m. Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*s + 18, 2*m - 5*s = 3 - 10. Solve 2*p + 5*n = -5, 3*n - 5*n - 26 = -m*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.1 + -2.1. Sort b, 1\/2, 0.2 in descending order.\nAnswer: b, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383*h**3*s + 2840*h**2 + 10866*s - 395 wrt h.\nAnswer: -1149*h**2*s + 5680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, 4, -6 in decreasing order.\nAnswer: 4, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445 + -117. Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (3 - 1 - 4). What is the tens digit of ((-964)\/7 - l)\/((-28)\/196)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5410648*t**4 + 4700209*t**2 + 9*t - 1 wrt t.\nAnswer: -129855552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -173*v + 646. Is s(-18) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1500 (base 12) to base 6\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1346 (c) 8766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -23) + 71 + -110\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*((-k + 4*k - 5*k)*(0*k + 4*k - 2*k) + 0*k**2 - 5*k**2 + 3*k**2 - 2*k - 5 + 5 + 3*k**2 + (-4*k - k + 2*k)*(-2*k + 3 - 3)).\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2. Let v(b) = 1120*b**2. Calculate v(y(r)).\nAnswer: 4480*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.05, 2\/7, 5, -143, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Let j be 2 - l\/6*-3. Suppose j*o + 3660006 = 3*i, 4 = 2*i - 0. Round o to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 = 8*x + 3*k - 39, -k - 70 = 4390*x - 4387*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1 + 4.8. Which is the closest to -1? (a) o (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120) + sqrt(120))\/sqrt(3))\/(6*(sqrt(8) + -2*sqrt(8))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 17 = 5. Suppose r + 5*o = 29, -4*r = r + f*o - 40. Calculate the remainder when 1\/(1*2\/22) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-13)*d**(-5\/4)\/d*d*d\/d**(-2)*d*d*d**28*d assuming d is positive.\nAnswer: d**(191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 4*k + 29*k = -66 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -149 - (-928 + 1182)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 1155 = -18*l - 84*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 2*l + 24. Let n = 54 + l. Let m = n + 14. Solve -t - m*g + 30 = -4*t, 0 = -t - 5*g + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146329 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 3. Let p(o) = -2*o + 18. Let j be p(8). Suppose -3*g + g = 2*k, 0 = -4*g - j*k. Calculate s(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 + 124. Sort -0.8, m, -2 in descending order.\nAnswer: m, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -142*o**2 - 167*o - 88. Let j(l) = 1414*l + 836. Let h(b) = -3*j(b) - 14*r(b). What is the first derivative of h(a) wrt a?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/13, -11, -5, 43?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-106536.6.\nAnswer: 426146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141*k**4*w - 3*k**3*w**2 - 187*w**2 wrt k.\nAnswer: 564*k**3*w - 9*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**3 - 11*t**2 - 6*t - 4. Let d(c) = -6*c**3 + 11*c**2 + 7*c + 4. Let n(h) = -6*d(h) - 7*p(h). Let g be n(-11). Solve g*z - 3 = -15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5401682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 2, b: 1, n: 1}. Give prob of sequence nx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -323b - -47?\nAnswer: -31d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {q: 1, b: 1, t: 10, v: 1}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/5 - 78*g**4\/5 + 60*g**3 - 296*g**2\/5.\nAnswer: g**2*(g - 74)*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((-21)\/70)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -285, -427, -569, -711, -853?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {w: 9, g: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-2 - -3) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 6*k + 15. Calculate w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*a + 125*a - 16*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 2609086*q - 1701832438849 = 0. Calculate q.\nAnswer: -1304543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1836 in 0.4, 4, -5, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -220*v**5 - 2665*v**4 + 3300*v**3 + 9025*v**2 - 11780*v + 2340 = 0.\nAnswer: -13, -2, 1\/4, 1, 18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*l*w - 23533*j**3*l - 2*j**3*w - 2*j**3 + 3*j**2 - 14*j*l - 6*l*w - 2*l wrt j?\nAnswer: -12*l*w - 141198*l - 12*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(77) + -1*sqrt(77))*5)\/(2*(sqrt(11) - sqrt(704)*1))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(-1*sqrt(2299))**2 + (sqrt(2299) + 0 + -2)**2 + 0 + ((sqrt(2299) + (sqrt(2299) + 0 + sqrt(2299))*-4)**2 - sqrt(2299)).\nAnswer: -55*sqrt(19) + 126450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-28)*a**(2\/9)*(a*a\/(a**(-1)*a)*a*a)\/(a\/(a**10\/a)) assuming a is positive.\nAnswer: a**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -503 and -0.0939?\nAnswer: 47.2317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/39 at least 0.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2993 = -269*t - 1585 + 6393. Let l be -4*1\/((-8)\/6). Suppose -2*g = l*j - 6*g - 251, -4*j + 345 = 5*g. What is the remainder when j is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -4. Suppose 2*l - 849636 = -i*o, 4*o + 0*o + l = 849636. Suppose -d + 72409 = o. What is d rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h - 1211. Let q be t(0). Let m = 1860 + q. Is (-1)\/(((-5)\/m)\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 22404, 35, 4\/5, 6\/5 in increasing order.\nAnswer: -1\/2, 4\/5, 6\/5, 35, 22404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(192)*-2*4)\/sqrt(4).\nAnswer: -64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**7\/6300 + i**5\/300 + 23*i**4\/24 - 51*i**2. Let b(a) be the second derivative of g(a). Determine y so that b(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x - 38 - 1\/4*x**4 + 1\/2*x**2 + 0*x**3. Let z(r) = 6*r**3 + 3*r**2 - 6*r - 10. Let u(f) = -21*v(f) - 3*z(f). Factor u(n).\nAnswer: 3*(n - 3)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 2. Let o(c) = 12*c + 22 - 32 + c**2 - 4*c. Let a be o(-9). What is i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - n + 13*n**2 + n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58974341, -58974344, -58974347, -58974350?\nAnswer: -58974353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d - 4. Let g(i) = -18*i + 9. Let j(c) = -3*g(c) - 7*w(c). What is j(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-152))\/((-175)\/25)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {c: 2, y: 2, r: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {i: 3, q: 11}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxwxxwwxxx. What is prob of sequence xx?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2)\/q)\/q*q**(-2\/57) assuming q is positive.\nAnswer: q**(-61\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/63)*w)**(-34)*w**(24\/7)*w*w**(-6))**(2\/13) assuming w is positive.\nAnswer: w**(-4618\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.694 - -1.494. Is v equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 196 = 216. Let w(c) be the third derivative of 1\/3*c**3 - 1\/60*c**5 + 0*c + o*c**2 + 0 + 1\/24*c**4. Factor w(y).\nAnswer: -(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1471.73 to 0 dps.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6740 + 33703\/5. Let y(z) be the first derivative of m*z**5 - z**3 - 12 - 3\/2*z**4 + 0*z + 9\/4*z**2 + 1\/4*z**6. What is c in y(c) = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-150)\/(-30) + 6 + -1. Solve 25*g - d*g - 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389884 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1121137\/80 + -14014. What is the common denominator of b and 4\/(-6) + 501\/(-72)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 i when three letters picked without replacement from {w: 2, i: 2, y: 1, r: 1, j: 1, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/3 + 1249256*m\/3 - 1249262 = 0.\nAnswer: -624631, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 20*u + u + 2.\nAnswer: 25*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -16, -13\/29, -5\/48, -1?\nAnswer: -13\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0+76.36\nAnswer: 76.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36783*x + 36843*x + 240 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3*b - 3. Suppose k = -2*z + 1, -2*k + 4 = -z - k. Let w = 5 + 0. Let c = z + w. Give q(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32523, -64945, -97363, -129777, -162187, -194593, -226995?\nAnswer: -259393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 = -6. Let o(h) = 26*h**3 - 16*h**2 + 16*h + 4. Let z(a) = -5*a**3 + 3*a**2 - 3*a - 1. Let r(p) = u*o(p) + 16*z(p). Differentiate r(q) wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221355403 (base 6) to base 12\nAnswer: 1408b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698217200?\nAnswer: 2, 5, 17, 102679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(0*i**3 + 3395*i**2 - 3771*i**2 - 2 + i**3).\nAnswer: -3*i**3 + 1128*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 13*u**5\/30 - u**3\/6 - 33*u**2. List the prime factors of o(-2).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*y**2 - 26*y**2 - 4*y - 6*y + 2*y + 14 - 4*y.\nAnswer: -2*(y - 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from {g: 1, x: 3, l: 4, a: 2, o: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712.47ml in litres?\nAnswer: 1.71247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 709, -3, -1\/6, -0.2, -1.4 in decreasing order.\nAnswer: 709, 2\/3, -1\/6, -0.2, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41967680 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 19. Let k be -1 - (-1)\/(-6)*t\/(-2). Let p = 0.31 + 0.09. What is the third smallest value in p, -3\/2, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038371 to 4 dps.\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -55, -122, -205, -298?\n\"Answer: t**3 - 17*t**2 - t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 160, 1, -1, 147.79?\nAnswer: 147.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t. Suppose -p + 1 + 1 = 0, 5*n - 4*p - 7 = t. Suppose 1\/4*q**2 - 1\/4*q**n + 0*q + 0 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -o + 5*y, -2 = 3*o - 4*y + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - 0.9. Which is the nearest to 0? (a) 1\/5 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/450 and 65\/6.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from udduuuuyuuuddbuuu.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*a - s, 15*a - 5*s + 27 = 17*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + 29 + -34.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-234993)\/(-28484))\/(21\/(-32))\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -512353.0245 - -512196. Let c = u - -157. Round c to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 6*v**2 - 2516*v\/3 - 560\/3 = 0.\nAnswer: -2\/9, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 238\/4885 + -2740639\/1406880. Let l = -1\/1440 + i. Calculate the common denominator of ((-33)\/12 - -2)*(6734\/12)\/37 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 + 192 = 3*q - 3*n, 3*q - 2*n = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 + 1353 = 11*h. Suppose q - 3 = 6. Let s = q - h. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/1421)\/(21\/(-49))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2239\/1320 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u + 31 = 136 + 63. Solve 5*p - 97 = 3*i - 96, -4*p - u*i = 37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*f - 7 - 62, 5*o - 4*f = 164. Let t = o - 18. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 24*q - 55. Let u be t(-25). Let f be (-85)\/u - (4 + -1). What is the third smallest value in f, -0.1, 4\/7, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(68) + 1 + -2)*-1)**2 + 4)*6 + 3)*-3.\nAnswer: -360*sqrt(17) + 6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a\/a**(-4\/7))\/(a**(-1\/5)*(a*a\/((a**6*a)\/a))\/a)*(a**(-2)\/a)**(2\/15)*((a\/(a\/(a\/(a*a\/a**8))))\/a)\/((a**(-2\/17)\/a*a)\/a) assuming a is positive.\nAnswer: a**(5051\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -907\/30 - -476\/15. What is the nearest to 1\/6 in r, 1\/7, -3\/4, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -6793*g**4\/4 + 527*g + 6126. What is the derivative of a(c) wrt c?\nAnswer: -20379*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - s + 0*s)*(-5*s**2 + 3*s**2 + 4*s**2) - 2*s**3 + 8*s**3 + s**3 - 11*s**3 + 15*s**3 + 10*s**3 to f*s**2 + x*s + w*s**3 + y and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m**3 + 0*m**3 + 2*m**3)*(2 + 7*m - 5*m + m) as x*m**2 + s*m**4 + w + c*m**3 + k*m and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.158, 41.8, 2\/19?\nAnswer: 41.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-20)\/70)\/(-1))\/((-6)\/(-14)). Which is the third biggest value? (a) -6\/7 (b) -5\/6 (c) m (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -21*l**2 + 5. Let u(j) = -64*j**2 + 16. What is 5*u(q) - 16*x(q)?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 + 12)*((-4241)\/(-14) - 21\/49). Calculate the highest common factor of i and 1265.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411556 is divided by 8754.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 430*l**2 + 23*l - 50. Let q be m(2). Suppose 0 = -9*b + 4362 - q. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 88*k - 462. What is the smallest common multiple of f(93) and 2760?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x - 4. Let r(z) = z - 1. What is -i(a) + 4*r(a)?\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 93352 divided by -1\nAnswer: -93352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 19. Give j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 264447*x**4 + 264453*x**3 - 264447*x**2 - 264450*x = 0. What is x?\nAnswer: -1, 0, 1, 88150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/68 + (-198)\/(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 756*j + 14057. Let m be h(-18). Let w be (-746)\/(-10) + (-2)\/(-5). Calculate the highest common divisor of w and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41184636 to 4 dps.\nAnswer: 0.4118","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22635*p + 22635*p + 55*p**2 - 10. Let z(c) = -18*c**2 + 3. Calculate 3*m(h) + 10*z(h).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -9. Let x(m) = 11*m - 5. Let f(n) be the first derivative of n**2 - n + 118. Let k(g) = -5*f(g) + x(g). What is k(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:06 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/12*(-6)\/4. What is the greatest common factor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z**4 + 57*z**3 - 24*z**2 - 12*z = 0. Calculate z.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -3946?\nAnswer: -3942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*w**3 - 17*n**2 + n*w**3 - 5*n*w + 4*w**2 wrt w.\nAnswer: 6*n**2*w + 6*n*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -1513, -3295, -5665, -8551?\nAnswer: -11881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + j + 14, 0*g + 4*g + 5*j - 17 = 0. Suppose -g*x = 1 - 7. Solve -3 = -x*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79353624 and 573?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3993) + sqrt(3993)*1)\/((-2*sqrt(12))\/sqrt(4)))**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 128\/6*(-45)\/10. Let r(u) = -31*u + 45. Let o be r(14). Let h = t - o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 10*g**2 + 3*g - 14. Determine i(11).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 10387592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161809 and 22919903.\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 66?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2*(-4)\/(-5). Suppose -2*u - 3*n + 8 = 0, -u - j = -3*n - 6. Suppose -3 = k + 4*w, -u*w = 4*k - 28 - 8. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 4 - (85 + -48 + -55 - -126).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.149 - -0.149. Which is the third biggest value? (a) -4 (b) m (c) 6\/11 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hchh when four letters picked without replacement from {c: 3, h: 11}.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156821 is divided by 30640?\nAnswer: 3621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {p: 6, k: 1, u: 3, n: 1, s: 4, a: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:37 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 158753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94*f*g**2*i - 293*f*g**2 + 3378259*f + 9*g**2*i + 9*i wrt g?\nAnswer: -188*f*g*i - 586*f*g + 18*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {r: 1, k: 18}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55435084597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311705226 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 50, 6, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2200)\/121)\/(-20)*8\/(-40)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122012221211 (base 3) to base 6.\nAnswer: 11133121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -5707?\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 912 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9650 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 7 - 3, 5*t + 2*l = -2. Let s = 16.1 - 16. Which is the second biggest value? (a) t (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/120 - v**5\/60 - 5*v**4\/4 - 49*v**2. What is the second derivative of h(a) wrt a?\nAnswer: -6*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4258 is divided by 1064.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100011100011101 + -10?\nAnswer: -111100011100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-99)\/(-396))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64157 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 8*y + 10. Let b be m(5). Let k(x) be the first derivative of 0*x**3 - x**2 + 0*x**5 + b*x - 1\/3*x**6 - 3 + x**4. Solve k(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 3*c**2 + 4*c - 4. Let p be l(-4). Let x be 18\/10 + p\/(-20). Find the second derivative of -4*g - 2*g**x + 4*g + 0*g + 3*g wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -4)\/(99\/(-66)). Sort -3, i, 5, 37 in descending order.\nAnswer: 37, 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/7))**44)**44)**(-3\/17) assuming j is positive.\nAnswer: j**(-11616\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*j - 4*d, -16*j - 4*d = -14*j - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 - 18\/7*v**2 - 40\/7*v.\nAnswer: -2*(v + 2)*(9*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105394, -105379, -105338, -105265, -105154, -104999, -104794?\n\"Answer: k**3 + 7*k**2 - 13*k - 105389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*o + 72, -13 = -5*w - o + 69. Suppose 0 = u - 5*z + w, 5*u - 9 = -2*z + 19. Solve 0 = u*k + 3*i - 3, -37 = 4*k - 7*i + 2*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26149 divided by -26149.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e88 - -2?\nAnswer: 1e8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 63002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 4*j + 6*j. Let b(y) = 12*y + 47. Let r be b(-3). Let z(f) = -17*f + 9*f + r*f + 11*f. Calculate z(c(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, -12\/7, -0.4, -5.\nAnswer: -5, -12\/7, -0.4, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/7, -9040 in increasing order.\nAnswer: -9040, -4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8269699 micrograms in tonnes?\nAnswer: 0.0000000000008269699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438919971.\nAnswer: 1438919971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, h: 4, r: 1, c: 1, i: 1, j: 2}. Give prob of picking 1 s and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2\/3958369, -0.4, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1212931017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:05 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4528351892 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*m)*(2*m + 0*m - 3*m + 2).\nAnswer: 4*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -18*x + 87. Let a be q(5). What is the second biggest value in -11, a, 5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/o**34))*o*o**(-26\/3) assuming o is positive.\nAnswer: o**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-152))\/3*8\/(-9). Let c = 47\/285 + m. What is the closest to 1 in c, -1.4, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99*h**4 + 196*h**2?\nAnswer: -2376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17551 - 17548.7091. Let k = 39.3529 - f. Let q = k + -37. Round q to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -0.61231904833.\nAnswer: -8.61231904833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 10*n + 5 + (-5 + 5 + 4*n)*(0 + 0 - 1) + (-1 + 0 - 1)*(-n - 2*n + 4*n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8788281022 from 14188.\nAnswer: 8788295210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let v(i) = -i**2 + 6*i - 5. Let s be v(5). Suppose s = 3*y - 6 - 27. Let f(j) = y*j - 11*j - 4*j**2. Give l(f(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8*c = 20*c + 31*c + 511, -4628*c + 4624*c - 33 + 7 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(s + 0*s + s) + (-3 + 1 - 5)*(1 + 2*s - 1).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520556 divided by 14?\nAnswer: 260278\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 25*b**2. Let d(i) = -8*i**2. What is d(o(l))?\nAnswer: -5000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159071061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from icpzqnzqncnqqiz.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**6\/24 + 221*q**5\/16 + 185*q**4\/8 + 4*q - 966. Factor t(k).\nAnswer: -5*k**2*(k - 222)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((1\/5)\/((-228)\/1710))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1019388 and 15\/17629?\nAnswer: 1057105356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -22. Suppose -5*k - 3*w + x*w + 67 = 0, -k - 3*w + 11 = 0. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 3. Let m(z) = 2*z + 3*z + 6 - 6*z. Let p(t) = 5*k(t) + 3*m(t). Let g be p(4). Solve -g = 5*v - 1, -4*y - 2*v - 24 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 1 = -3*v + 7*y, y = -3*v + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 40. Is 20 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 864 or 858?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.166773 - -20877.\nAnswer: 20876.833227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-33)*(-12)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 301 + 99. Calculate the remainder when 236 is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-8) - (-15)\/12. Suppose -12 = -4*z + l, -5*z + 2*l + v*l = -15. Let w(o) = 2*o - 4. What is w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.07, 14, -3\/7, 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w)**(2\/19)\/(w**(1\/5)\/(((w\/(w\/(w**3\/w)*w))\/w)\/w)))**(-1\/14) assuming w is positive.\nAnswer: w**(62\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 3 = 0. Suppose 0 = -h*b + 25 + 260. What is the units digit of 2\/4*(b - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -389*f**5\/12 - 917*f**3\/3 + 1318*f**2. What is the derivative of u(b) wrt b?\nAnswer: -3890*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(78) + 2*sqrt(78))*4 - sqrt(78) - sqrt(78))\/sqrt(6) + -5.\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/18880653 and 47\/118374?\nAnswer: 37761306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3068 divide 515736274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p + 20. Let k(d) = -d**2 - 6*d + 9. Let y be k(-7). Determine v(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 16*j = -21*j - 8293, 11054 = 4*n - 5*j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 20. Let c be (f\/(-35))\/(1\/7). Suppose 5*w + 10 = -2*k + 25, -c = 5*k - 4*w. Let b(v) = -v**2 - 6. Calculate b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o**(1\/3))\/((o*o*(o**(-2\/15)\/o)\/o)\/(o*(o\/(o*o\/(o*o*o\/(o**(-3\/4)\/o)*o)*o))\/o))*((o**(-4))**(-29))**(1\/26) assuming o is positive.\nAnswer: o**(1823\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1 + (sqrt(128) + -1)**2 + sqrt(128) + (sqrt(128) + (sqrt(128)*4 - sqrt(128))*-6 - sqrt(128) - sqrt(128))**2)*-4.\nAnswer: -185344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1442 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*k + 2 + 2, -k = 5. Suppose -34 = -5*n + 16. Let h = n - y. Which is greater: -0.4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1439 divide 19830859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7276.5948079 + 381.\nAnswer: -6895.5948079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1201*v - 2424. Let w be m(-2). Suppose 3*h - 5*r = -45, 3*h + h + 3*r + 89 = 0. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**3 - 3*k**3 + 14*k**3)*(24 + 11 + 13)*(-1 + 4 - 4) in the form f*k + b*k**3 + r*k**2 + a and give b.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 6. Let m be d(-6). Let n = m + 16. Is -326*(-1)\/n*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(-1)\/(15\/(-54)). Let j = 91 + v. Let b = j - 29. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11952 - 11948. Solve 0 = y + n - 1, -n = v*y - 0*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1. Let k(d) = -7*d. Let x(h) = -6*h. Let n(o) = -5*k(o) + 6*x(o). What is l(s) - n(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-15)\/(-40)). Suppose -4 - 4 = -u*c. Solve 0 = 5*k - c*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, v: 5}. Give prob of picking 3 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153082 + -76547. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(1 + -3))\/(-1). Find the second derivative of 3*l**4 + y*l + 0*l**4 - 2*l + 4*l wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2750616 from -2.197346.\nAnswer: -2750618.197346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -33 (c) 1\/3 (d) -68\/3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11753737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36558064 to four dps.\nAnswer: -0.3656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33164732 is divided by 528?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 5*x - x**2)*(-1 + 1 + 2*x**3) + (2*x**2 + 1 - 1)*(-2*x**3 + 0*x**3 + 4*x**3) - 5*x + 4*x - x**5 + 3*x**5.\nAnswer: 4*x**5 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18*d**3 + 7*d**2 + 2*d + 7. Let v(i) = -3*i**2 + 2127*i - 1076*i - 3 - 1052*i + 9*i**3. Calculate 3*g(n) + 7*v(n).\nAnswer: 9*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4768\/3 + 1589. What is the nearest to b in -3, 0.04, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -3*i**2 - 6*i - 227. What is o(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let l(t) = 6*t + 7. Let q(f) = -4*h(f) + l(f). Does 5 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 3*t**3 + 30079*t**2 - 30079*t**2 - 156*t.\nAnswer: 2*t**3 - 156*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6267, -12537, -18807?\n\"Answer: -6270*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 2 + 1 - -1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 1. Let x be r(2). Let n(j) = j**2 + 4*j + 3. Let a be n(x). Suppose 3*i - 53 - 22 = a. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.02 (b) -0.4 (c) 60 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177\/(-1)*(-7)\/21 is divided by (14\/12)\/(1547\/(-1989)) - 30\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020362654 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**4\/24 - 7*q**3\/6 + 3*q**2. Let y = -32 - -39. What is the remainder when y is divided by r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162313468 and 2248.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2. Let m(l) be the third derivative of l**2 + 0*l + 0*l**3 + 1\/30*l**5 + 0 + 0*l**4. Determine m(v(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = r - 3*r - 3*k - 60, 32 = -144*r + 143*r + k for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*i**3 - 18736*i**2 - 15641342*i wrt i.\nAnswer: -108*i - 37472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 3*j**2 + 0*j - 4\/3*j**3 + 1\/6*j**4 + 0. What is the first derivative of a(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13743 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*r + 3*r + 25, 5*m - 25 = 0. Let j(f) be the first derivative of -f**3\/3 + 15*f**2\/2 + f + 2. Is 8 a factor of j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 80.86867g?\nAnswer: 80868.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(3\/282). Let h = 66 - v. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -332125?\nAnswer: 332133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(12) + -2.\nAnswer: -2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 27*n**3 - 9*n**2 - 23. Let g(f) = 14*f**3 - 4*f**2 - 11. Let i(j) = 5*g(j) - 3*p(j). What is the derivative of i(z) wrt z?\nAnswer: -33*z**2 + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 2*v + 20. Suppose 8*n = v*n. Suppose n = 5*c - 19 - 1. Solve 0 = c*f + 4*x - 16, -4*f + 2*x + 17 + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*g - 63*g - 99*g)*(0*g**2 + 0*g**2 - g**3).\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-9))\/2*54\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let j(m) = -m - 1. Let s(h) = 2*j(h) - v(h). Let a be s(-2). Suppose a = i - 30. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - -27. Suppose 0 = -h - 5, i = 4*m + 3*h - 13. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 266330.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1598)\/3995*(-190)\/4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 3 (c) 0.4 (d) 36 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/225 and -3\/2600.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 30*j = -n - 13, 4*n + j + 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 102897445 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67938 and 670?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1. Let b = -5 + 8. Let u be q(b). Suppose 2*f - j - 11 = 0, 2*j + 13 = u*f + 3*j. Solve -13 = f*y - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -2*z - 3 - 25, 4*z - 46 = -7*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2*t**2 + t**2 + (1 + 1 - 1)*(t**2 - t**2 - 3*t**2).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1120944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 74*v**2 - v**3 + 110*v**2 + 144*v + 192.\nAnswer: 3*(v + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -166*d + 170. Let a be y(10). Let l = -663 - a. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.616 - 0.656. Let i = 0.49 + -4.45. Let h = u + i. Which is the second biggest value? (a) -1 (b) h (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 - 3875230*m**2\/7 - 7750466*m\/7 - 3875234\/7.\nAnswer: 2*(m - 1937617)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8170? (a) -5 (b) 0 (c) 2\/31 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 1, q: 1, m: 1, p: 1}. What is prob of picking 1 p and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and 348393.\nAnswer: -15677685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t - 229 - 297 = 44 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Suppose -q - 3*s = x*q - 6, 2*q + 5*s + 8 = 0. What is the second derivative of 2 + 2*z**2 - q - 2*z + 4 wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Suppose 1481 = 5*a - g*d + 7*d, 5*d = 20. Is (a\/(-2))\/(-3 + (-10)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 5*o = -5*f + 385, 3*f + 5*o - 223 = 0. Let n = -46 - -55. Calculate the greatest common divisor of n and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/((-6)\/22617) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -3535728?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.08 - 8.9. Let o = 0.98 + -1. Let g = o - p. Which is the nearest to -2\/3? (a) 4 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16983 is divided by 585?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563561*g - 563559*g + 2*c = -6, -8*c + 4 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**15)**(1\/21))**44 assuming m is positive.\nAnswer: m**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -3, 4, -2471\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -9\/8*o**4 - 1\/42*o**7 + 0*o**6 + 0*o**3 + 19*o - 1\/60*o**5 + 0 + o**2. Find the second derivative of c(q) wrt q.\nAnswer: -60*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/12 + 2*l. Let a(b) = 4*b**2. Calculate a(x(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*9*(-6)\/(-648))\/((-45)\/(-40))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 65, -j - 3*b - 27 + 59 + 7 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75897682*n**3 + 2250*n**2 + 2643*n wrt n.\nAnswer: -455386092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3803608*a**4 - 26*a**3 + 22188*a**2 + 5*a - 6 wrt a.\nAnswer: 91286592*a - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 + 12245*j**3 - 61035*j**2 - 158825*j - 85540 = 0. What is j?\nAnswer: -1, 7, 2444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/31 + (-4470)\/(-93) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3844 is divided by 43?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*r + 56. Suppose -3*u + 2*b - 3*b = -24, u = -b + r. Suppose -15 - 13 = -u*s. Calculate the smallest common multiple of 7 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3025, 6123, 9373, 12775?\nAnswer: 16329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/330 and -35\/792009.\nAnswer: 87120990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/3 (c) 368538 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22082*j*r**3 - 97*j*r**2 + j*r + 6 wrt r.\nAnswer: 132492*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -s - 747, 4*l - 5*s + 18 = 624. Let f = -1939\/13 + l. Sort 3, f, -8\/5 in descending order.\nAnswer: 3, f, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(648) + -1.\nAnswer: -1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/2)*o\/(o*(o\/(o**(1\/7)*o))\/o)*o**(-4\/7)\/(o**(-2\/3)\/o) assuming o is positive.\nAnswer: o**(115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.267142 centuries?\nAnswer: 42.67142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 7*p**2 + 12*p + 12. What is u(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1176, -2, -5, -972 in ascending order.\nAnswer: -972, -9, -5, -2, 1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -3, -1, 5, -2\/15 in ascending order.\nAnswer: -3, -1, -2\/15, 6\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33786138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000274 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 6. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62834761.\nAnswer: 11, 461, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 221096.3 microseconds?\nAnswer: 221.0963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.702 + -0.498. What is the closest to -2 in 1\/3, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*n**5 - 21*n**4*w - 7737*n**3 + 276*n**2*w - 4726*w wrt n.\nAnswer: 900*n**2 - 504*n*w - 46422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u. Let t(o) be the second derivative of -o**4\/12 + 249*o**2 - 12546*o. What is t(v(i))?\nAnswer: -64*i**2 + 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 - 1.1. Let m = -10\/23 - -84\/299. Suppose -l - 11 = -7. Put l, a, m in descending order.\nAnswer: m, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8634084 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from {m: 5, x: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038663810 a multiple of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19802, 39565, 59340, 79127, 98926?\n\"Answer: 6*x**2 + 19745*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*l = 171 + 131 + 1330 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/130, 13, -4, 1\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1360422 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24410873 to the power of 1\/2, to the nearest integer?\nAnswer: 4941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26317 - y**3 + 0*y**3 - 13220 - 13189.\nAnswer: -y**3 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 32*s**2 - 9*s. Let g(f) = -150713*f. Determine u(g(a)).\nAnswer: 726861067808*a**2 + 1356417*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-125)*40\/(-24)*-20*2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -55. Let c be ((-7)\/s)\/(((-6)\/(-27))\/(-2)). Find the second derivative of -36*q - c*q - 43*q**5 + q wrt q.\nAnswer: -860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -47*y**2 + 7*y - 47. Let d(o) = -47*o**2 + 6*o - 47. Let z(q) = 7*d(q) - 6*t(q). Differentiate z(c) with respect to c.\nAnswer: -94*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - v = 0. Sort -2\/9, 0.5, v in descending order.\nAnswer: 0.5, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(243) + -1 + sqrt(243) + 0 - sqrt(243))**2.\nAnswer: -108*sqrt(3) + 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*r**3 + 107*r + r**2 - 110*r - 27*r**3 in the form p*r + g*r**2 + c + n*r**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4\/7 + 4*s**3\/7 - 712*s**2\/7 + 2432*s\/7 + 7680\/7 = 0. Calculate s.\nAnswer: -15, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 23 = -27. Factor -8\/11*n**g - 2\/11*n**5 + 4\/11*n**4 + 0 - 8\/11*n + 6\/11*n**3.\nAnswer: -2*n*(n - 2)**2*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 18)*(3 + 0 - 1 + (-2 - 2 + 2)*(2 - 2 - 1) + 0 + 2 + 0)*(7 + 7 + 14)*(0*g - 2*g + 0*g) to the form o + x*g and give x.\nAnswer: -6048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3407087 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*w - 244*w - 81*w - 513*w - 338*w.\nAnswer: -1055*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -953, -2371, -3789, -5207?\n\"Answer: -1418*o + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + -360)\/(-18) - 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 3172*w**2 - 6356*w - 3180.\nAnswer: 4*(w - 795)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15324 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 w(k) = 3*k**3 + 29*k**2 + 18*k. Let o be w(-9). Let p = 381 + -15618\/41. Is o less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 4*z - 27 = -20*w, -3*z = -4*w + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ybooyyyiiyoiooyy?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/2226 and 23\/53.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 6*w**2 + 1 - 14*w + 8 + 5*w**2. Let g be s(-7). Let f = g + 34. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141097757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90012.\nAnswer: 2, 3, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263 + 261. Sort r, 13, 2, -5 in increasing order.\nAnswer: -5, r, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201 - -203. Suppose 4*g = 5*c - 23, -33 = -3*c + 6*g - 10*g. Sort -2, c, m, -1 in increasing order.\nAnswer: -2, -1, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -566, -562, -558?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112103 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159 + 0.01187.\nAnswer: 159.01187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 - 7.81. Let k = 11 - 19.1. Let d = y - k. What is the closest to -1 in -4, d, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285 + 285 - 11*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-270270)\/(-2625) + -103)*(-10)\/(-4)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 1304*r + 5242. Determine j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 54. Let w be m(-40). Let h = -17 + 31. What is the highest common divisor of w and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**3\/2 - 26470*l**2 + 5193955*l\/2 - 9964550 = 0.\nAnswer: 4, 95, 10489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758378917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 2*n + 74*n + 8*n + 5 - 5.\nAnswer: 74*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {w: 1, z: 5, v: 1, i: 3, r: 1, s: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nctn when four letters picked without replacement from ntcnnnnnnnnnn.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k - 3. Let j be q(2). Let g = j + -19. Solve g*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*v - 68. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*y - 375 = 2292, 4*m + 2*y - 2130 = 0. Calculate the remainder when m is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 1 (c) -0.1 (d) -29098.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 6. Let o be w(4). Let z be -1 - 3\/(-42)*o. Let y be -1 + -1 + 7\/4. What is the nearest to 0.2 in y, z, 3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 190, 176, 144, 88, 2?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2109*b**2*p**4 + 736*b**2*p**2 + b**2 + 14*b*p**6 wrt p.\nAnswer: 50616*b**2*p + 1680*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + z = -6*b + 6222, b + 1548 = 4*z. Round b to the nearest ten.\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 5*l**2 - 3*l - 2. Let s be u(4). Let p = -0.16 + -2.84. Let t = 2 + p. Which is the second smallest value? (a) t (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzyyzzyzyy. What is prob of sequence yyzy?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-15) - (-24)\/10. Let h(g) = g**2 + g**3 + g**2 + g**2 - 2 + b*g. Let y(w) = -w**3 + 11*w**2 - 32*w + 7. Let t be y(5). Give h(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 6 + 9 + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (5 - 45 - -12) + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/7, -2\/3, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 - 54 = -5*v, -5*m + 3*v + 92 = 0. Suppose 2*a + m = s - 0*a, -65 = -3*s + 4*a. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(176) + -4 - (4 + sqrt(176) + -1 + sqrt(176)))**2 + (-6*(sqrt(176)*-2 - sqrt(176)) + 3 + 5)**2.\nAnswer: 1208*sqrt(11) + 57311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b + 1246*b**2 - 1252*b**2 - 19*b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2 + 2*u + 6. Let h be k(4). Suppose b - 13 = -4*g, -2*g + 0*b + h = -2*b. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*a - 20 = -136*a. Suppose -9*u = -13*u + i + 705, a*u - 708 = 4*i. Calculate the greatest common divisor of u and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-352.\nAnswer: 28.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g. Let r(b) = -90*b**2. Calculate r(f(o)).\nAnswer: -1440*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbeeefeeeebefebeeb. Give prob of sequence ffe.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5480075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpmm when four letters picked without replacement from {x: 5, g: 7, p: 2, m: 5}.\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1.01. Let h = r + 19.01. Let j = h - 19.00000045. Round j to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) -5 (b) -1\/5 (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-187)\/22 - (3 + 45\/(-10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4 + 2626*m**3 - 456062*m**2 + 8106254*m - 7652820 = 0?\nAnswer: -1470, 1, 19, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000501418 to seven decimal places.\nAnswer: 0.0000501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdddsdddddddsdddsdd. Give prob of sequence sd.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 1, t: 16}. Give prob of sequence gt.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 237282.5447+-4\nAnswer: 237278.5447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1015 - -1024. What is the remainder when 33 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 4*u**3 + u**3 + (0*u + 2*u - 3*u)*(2*u**2 + 0*u + 0*u) - 2 + 2 + u**3 + 2*u**3 - 2 + 2 - u**3 + 5*u**3 - 2*u**3 + 545*u - 545*u - 8*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/18 and 39\/15880.\nAnswer: 142920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w**2 + 26*w**2 - 265*w**2)*(-2 + 4 - 3)*(1 - 2*w - 1).\nAnswer: -518*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 1\/12*b**4 - 22*b + 5*b**2 - 1\/3*b**3 + 0. Let i be c(7). What is the highest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0.1, -2.2, 6 in decreasing order.\nAnswer: 6, 5\/3, 0.1, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5280 divided by 48.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/18)\/((-2)\/(-4)). Let x be 15\/(-2)*(-4)\/y. Solve 0*v - x = -3*v - 3*u, -2*u = 3*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 54*m + 62. What is the remainder when 4406 is divided by t(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9\/p**(-19) assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 116*h + 69. What is the units digit of x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q. Suppose q = 2*o + 6 - 8. Let c(s) = -3*s**2 + s - 1. Let m be c(o). Put m, -1, -5 in decreasing order.\nAnswer: -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from adnbdwp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -67919 divided by 1?\nAnswer: -67919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 2659.335 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14891*a + 766 = -14770*a - 928 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/4, -4, -3.76?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.277496 - 0.57748. Let r = 0.7 - z. What is r rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153*h*l**3*n**3 + 110*h*l - 5*h*n**3 + l**3*n - 3*l*n**2 wrt n?\nAnswer: -918*h*l**3 - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.26 and 4.\nAnswer: 29.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 146. What is the remainder when i(-33) is divided by (-24)\/(-2) + -1 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 0 + 18\/(-6). Find the second derivative of 83*n**4 + n**5 - 6*n - 82*n**4 - 13*n**y wrt n.\nAnswer: -240*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -7206.9?\nAnswer: -7206.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39449219 + 39466982.9964. Let w = -17768 + g. Let m = 4 + w. Round m to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/(-75))\/2)\/(12\/(-24)*8).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 246143 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0 + 5 + 10*d - 2.\nAnswer: 10*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*v - 69988, -v = 391*q - 393*q + 34997. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7960 by 40.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.4, -0.14, 2, -4 in descending order.\nAnswer: 7.4, 2, -0.14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (831159\/(-632))\/(-167)*(-2)\/9?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*t - c - 120, 5*t = -2*c + 94. Suppose -2*b + t = 2. Suppose -w + 27 = -b. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 111aa - -301a?\nAnswer: 14208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/13)\/(7956870\/336388)\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/52*3952\/(-1216)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2627, -2634, -2641, -2648, -2655, -2662?\n\"Answer: -7*r - 2620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1475.001694 - -1475. Round a to five dps.\nAnswer: -0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22.4 in -1, 1\/7, 3, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -233*v - 172 wrt v.\nAnswer: -233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.93*-4.\nAnswer: 47.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 7*m + 6. Solve 0*p - f + 1 = -p, -2*f - m = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3. Let j(v) = -2 + 4 - 3. Let f(q) = 4*j(q) - u(q). Let b(d) = -12. Let a(t) = -t - 48. Let k(s) = -2*a(s) + 9*b(s). Determine -12*f(o) + k(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.28475km to micrometers.\nAnswer: 46284750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 3\/5, -41, -3\/23, -2\/11, 41, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 1185.\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87178 and 858.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 2, p: 2, z: 1, e: 3, m: 2, o: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128183759?\nAnswer: 11, 11653069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 + 3*i**2 + 4*i - 1. Let b(g) = 7*g**3 + 6*g**2 + 8*g - 2. Let n(s) = 4*b(s) - 9*o(s). Calculate n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202 (base 4) to base 12.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) 25 (c) -0.04 (d) -3\/5 (e) 1\/46944\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-654)\/132*-941156 - 6\/33. Round u to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*f - 2*k - 126, 0 = 5*f + 3*k - 290. Suppose q = -r + f, 3*q + r - 170 = -0*q. Calculate the greatest common divisor of 84 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4835 is divided by 665?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-248)\/(-60) - 3 - 24\/18.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.525 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-51))\/(15*(-30)\/(-3825))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3252, 3, 0.5, -8\/11, -5 in decreasing order.\nAnswer: 3252, 3, 0.5, -8\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 5*q**2 + 2*q. Calculate w(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -375775, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5112 and 5112?\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -17. Which is the fourth smallest value? (a) 2\/5 (b) -2 (c) 1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*q + 24*h - 25*h, 17 = 4*q - 5*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 10*r + 9*r + 7*r**3 as j*r + m*r**3 + v*r**2 + u and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1679 - 585*r + 746*r - 157*r + 668*r + 751*r with respect to r.\nAnswer: 1423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467062801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 467469, 934895, 1402321, 1869747, 2337173?\nAnswer: 2804599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10356 is divided by 157?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176328 and 154287.\nAnswer: 1234296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576, 540, 444, 258, -48, -504?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.0604 rounded to 1 decimal place?\nAnswer: 77.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5. Let i(m) be the first derivative of -m**3\/3 + 7*m**2\/2 - 6*m - 3179. Give i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*q - 3*u, 4*u + 23 + 13 = 5*q. Calculate the remainder when 10 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9499708 microseconds in nanoseconds?\nAnswer: 949.9708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-171)\/56 + 2\/(-3). Let t = 2068 - 16515\/8. Let v = f + t. Is 1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*t + 420 - 820 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1423*c**5 + 5*c**2 - 10.\nAnswer: 85380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 401, 609?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*w + 18320 = 198*w. Is 0 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgr when three letters picked without replacement from {r: 2, i: 2, w: 7, g: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 527259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*q + 83*q + 86*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311768 = -g + 2*k + 311764, -4*g - 3*k + 17 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12466 - 12392.49. Let f = o - 73. What is f rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a milligram in micrograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(2\/4 + 1). Suppose 0 = 3*f - 2*f - 4. Suppose f = -s + 19. Solve -5*a + 2*a + s = 0, n + q*a = 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzzzizizjzzzzzzzz. Give prob of picking 3 z and 1 j.\nAnswer: 143\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 454 + 1310?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56038125, -112076249, -168114373?\nAnswer: -224152497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105173052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 107*o + 93. Let p be y(-43). Let l = p - 996. Solve l = -6*b + 3*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 2:00 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 10*l**2 - 24*l + 84. Is 9 a factor of t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, h: 2, b: 5, a: 1, o: 2, y: 2}. What is prob of sequence hhyo?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.035, 1\/3, -3, -5\/2 in increasing order.\nAnswer: -3, -5\/2, -0.035, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/19 - 11\/76. Let y = t + 0. Put -2, y, -0.5, -0.2 in increasing order.\nAnswer: -2, -0.5, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4360848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 25425 + -25426. Let m(b) = 141*b**2 - 1. Calculate m(z).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0. Let g = 0.9 - 1. Let o = -3 - 0. What is the second smallest value in g, b, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/2 + 453*z**2\/2 + 227*z = 0. What is z?\nAnswer: -1, 0, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*x = -320*x + 68 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*14\/1176 - ((-198)\/(-7))\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-90)\/9)*(-6)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) - (-8)\/2. Let v(k) = 1 - k**2 + k + k + 6*k**2 + k**3. Let l be v(-5). Let o(i) = i**3. Let h(c) = 2*c**3. Give l*o(a) + w*h(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 212.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -289 divided by -41552\nAnswer: 289\/41552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 270849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y - 3*y - 11*y + (4 - 1 - 1)*(-4*y - 8*y + y))*(-447*y + 450*y - 1 + 0) as b*y**2 + u*y + q and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 214 + -200. Suppose 16*i - 70 = b*i. Which is smaller: 34 or i?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 + 0*w**2 - 13*w**2 - 3*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhshhhksbkhzhbhhhz. Give prob of sequence ksks.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r - 2. Let z(b) = -b**2 + 3*b. Let p(n) = -2*n**2 + 5*n. Let v(l) = -3*p(l) + 5*z(l). Give o(v(k)).\nAnswer: 19*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -1012, -1586, -2160, -2734, -3308?\nAnswer: -3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 28*j - 83. What is the hundreds digit of a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001395505 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 12*r**2 + 15*r - 25. Give s(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9914.217mm to centimeters.\nAnswer: 991.4217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -633 + 633.0857. Let r = g - 0.103. Round r to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-7) + 6\/21. Let t be 1*1\/q*2. Suppose -2*w - 1 = 5*z, 0 = 2*w - 6*w - 2*z + 6. Put w, t, 4 in descending order.\nAnswer: 4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130780.\nAnswer: 2, 5, 7, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q - 85. Let d be o(13). Let b be (2\/4)\/(1\/144). Let j be 19\/d + (-12)\/b. Sort j, -10, -3 in descending order.\nAnswer: j, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from nivxxxq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 1. Let m(n) = 21*n - 6. What is -m(g) - 6*q(g)?\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30472\/45 or 677?\nAnswer: 30472\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12 - 30 = 0. Suppose 0 = -d + t*d - 650. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1)\/(-1) - -1. Suppose -z*v - 3 + 9 = 0. Suppose 7 + 1 = -v*r, -3*d = -4*r - 10. What is the third smallest value in -1\/7, d, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -65, -147, -263, -413, -597?\n\"Answer: -17*g**2 + 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-28) + 44\/(-7). Let m be (-52)\/(-12) + 2\/o. Suppose -2640*y - 9 = 2*x - 2645*y, x = 4*y - 9. Solve m*s - 2*u - 4 = 2, x*u = 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159318 and 14404752?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 40 - 8. Let y(q) = -2*q - q + 479 - 927 + 472. Let t be y(p). Solve 4*s + s - 20 = t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 divided by 5?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -902.35112 - -10.\nAnswer: -892.35112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30677 - -30664. Sort v, -1, 6, 2 in decreasing order.\nAnswer: 6, 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kgcgggggkggcckgcgg?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 - g**4 + 171774*g**3 + 3804672*g**2 wrt g.\nAnswer: 240*g**3 - 24*g + 1030644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/2 + 146823*y\/2 + 367045 = 0. Calculate y.\nAnswer: -146818, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*z - 2*b, -4*b + 13 = 8*z - 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l - 2. Let u be a(4). Let s(r) = -6*r - 7. Let f(o) = 24*o + 30. Let p(m) = 2*f(m) + 9*s(m). What is the units digit of p(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 - 861\/2*q - 279\/2*q**3 - 855\/2*q**2 + 3\/2*q**4 = 0. Calculate q.\nAnswer: -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17822065 to the nearest integer?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 533*p = 528*p + 3, -2*t - 6 = 4*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1786 or -761\/18?\nAnswer: -761\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n**3 - 11*n**2 + 16*n + 224. Let y be h(-8). Calculate the greatest common divisor of 96 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 60. Suppose -j*g + 4*g = -185. Let i = g + -37. Solve -6*n + 2*n + 8 = i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210310003210 + -10?\nAnswer: 210310003200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 791, 1184, 1575, 1964?\nAnswer: 2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + -2*sqrt(468)))**2 - -4*(2*(1 + sqrt(468))**2 - sqrt(468)).\nAnswer: -48*sqrt(13) + 5649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*h - 20 = 83*h. Solve -h*z + 5 = -5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1314 by 12872.\nAnswer: -657\/6436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, and 2 w when four letters picked without replacement from srwwswwwrrssww?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/6 + 3*r**2\/2 + 3*r - 8. Let n be -1*(0 - 6\/2). What is the units digit of u(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 3*o + 4. Let f be p(-4). Let y(u) = u**3 - u**2 + 5. Is y(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2258148 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20120011102000 (base 3) in base 10?\nAnswer: -3487104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -99, 1587, 6283, 15495, 30729, 53491, 85287?\n\"Answer: 251*n**3 - n**2 - 68*n - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6269 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/11? (a) -3\/4 (b) -2 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1 + 2*b + 1 + 3. Calculate g(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (21\/(-2))\/(4\/(-8)) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) 4 (b) -4 (c) 0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**3\/6 - 344771*h**2\/3 - 5653588*h\/3 - 735424 = 0.\nAnswer: -137892, -16, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppi when three letters picked without replacement from {i: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*t + 20 = 0, -3*g - 7540*t - 5 = -7541*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -j - 62, y + 3*j + 29 = j. Let h = y - -89. What is the least common multiple of 18 and h?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3722501 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.85 - 1.75. Let d = 0.1 - j. Let y = -9.7 - d. Which is the biggest value? (a) y (b) 4 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 - (-4 + (7 - 141))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 336.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1275, 3.9, -0.2, 5, -4?\nAnswer: -1275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 - 39 - 7*r**2 + 37 + r**3 to the form u*r**3 + a + m*r**2 + c*r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1490912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:59 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 608195 and 37.\nAnswer: 22503215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*k - 11*k**2 - 12*k + 31*k as m*k + l + h*k**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -1)*12\/8. Suppose 2*j = r + 2. Let v(i) = 6*i**2. Let f be v(j). What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w**(-1)\/w)*(w\/w**(-20))\/w assuming w is positive.\nAnswer: w**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 57*a - 52*a - 49170 = 0, i - 24574 = 3*a. Round i to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/7 (b) -14\/5 (c) -2\/9 (d) -0.4 (e) -49\/3 (f) -3 (g) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 571244415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88561?\nAnswer: 11, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 7\/5 (b) 2.7519 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p + 4*p - 7*p)*(2 + 0 + 0) - 853 + 853 + 32*p + 2*p + 0*p - 3*p)*(1 - 2 + 0) as u + w*p and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*i - a + 97022*i - 76165 wrt i?\nAnswer: 2*a + 97022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let q = 23 - b. Suppose -f + q = 2*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.5. Suppose -5*u + 5*l + 15 = 0, 2*l + 6 = 4*u - 2. Let r be (11 + -14)\/(-1*u). Sort t, -0.2, r.\nAnswer: -0.2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3)*p))**(-2\/3)*(((((p*p\/(p**1*p))\/p)\/p*p)\/p)\/p)**(-2\/5) assuming p is positive.\nAnswer: p**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + -30)\/(4\/((-16)\/(-6))) and 65\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(33) + 2*sqrt(297) + sqrt(297)))\/sqrt(3) + (sqrt(44)\/sqrt(4))**2*-1 + 4*(sqrt(11) + -1).\nAnswer: -5*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 1}. What is prob of picking 2 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2223a44 - 2?\nAnswer: 2223a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 931\/266*(-100)\/(-14) and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1.255\nAnswer: 3.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 - 65*o**3 + 63*o**2 + 65*o - 64 = 0. What is o?\nAnswer: -1, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - 4*sqrt(105)\/sqrt(5)) + 6*sqrt(21)*1)\/(-2*sqrt(363)*-5 - (((-1*sqrt(363) - sqrt(363)) + sqrt(363))*4 - sqrt(363)))*4.\nAnswer: 4*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 18*n**5\/23 - 338*n**4\/23 + 2138*n**3\/23 - 5502*n**2\/23 + 4500*n\/23 + 1296\/23 = 0.\nAnswer: -2\/9, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(12\/22 + (4971\/(-99) - -39))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9876 - 10714. Let v = 143268699743.999999461 + -143268700582. Let c = v - r. What is c rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 284*j**2 + 38 - 285*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7499949 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57.5 - 57. Let i = 0.15 - p. Let q = i - -4.35. What is the second biggest value in q, -0.4, 0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 158 (b) 0 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 51. Let g = -0.6 + 2.6. Let m = 0.43 - 0.03. Which is the closest to k? (a) m (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129513899?\nAnswer: 19, 73, 93377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -33*d**3 - d**2 + 1. Let s be c(-1). Let g be s\/55 - 32\/(-5). Suppose -3*k = -g*k. Solve 4*l - l = k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-282)\/(-470))\/((-2)\/10)*8\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavvvvavvvaaavvvaava. Give prob of picking 4 v.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1626 - 1?\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:50 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/9 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1774 - -1861.1. Let i = w + -87. Let p = 0.01 + 2.99. What is the closest to -3\/2 in p, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 - -3. Let y = 5.01 + -5. What is the smallest value in q, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1015, 1013, 1011, 1009?\n\"Answer: -2*x + 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 39 = 11. Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -136189, -544749, -1225683, -2178991?\n\"Answer: -136187*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 4*m - 6. Let s(f) = 3*f**2 - 4*f + 5. Let h(u) = 2*p(u) + 3*s(u). List the prime factors of h(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/298872 and 209\/2520.\nAnswer: 1494360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 0*i**2 + 0*i**2 + (5*i + 15*i - 13*i)*(-59*i + 160*i + 48*i) as d*i + o + v*i**2 and give v.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t**3 - 2*t**2 - 2*t. Let k be n(-2). Let x = 240 + k. Calculate the least common multiple of x and ((-198)\/(-189) - (-8)\/(-6))*-42.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7479720 to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 63 = -5*g, -31*q + 4*g + 56 = -29*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 8 + h + 5)*((1 + h**2 - 1)*(1 + 0 - 2) - 2*h**2 + 0*h**2 + h**2) to n*h**3 + f*h + i*h**2 + a and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.4, -1.5 in increasing order.\nAnswer: -1.5, 1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72.1 + 68. Let q = p + 3.7. What is the second biggest value in -1\/4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 8*d**2 + 6*d + 10. Suppose -2 = -y + g + 5, 3*y = -3*g + 21. Let u be n(y). Let v(f) = 0*f + 2*f**u + f**2 + f**3 + f + 1. Determine v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n - 25 = 458 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100))**2 - ((3*sqrt(176) + sqrt(11))**2 - sqrt(11)).\nAnswer: -758 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87\/25 + 289\/50. What is the common denominator of (-7)\/8 - (2 + -5) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 30. Let s = -8.9 + 9. Let z be ((-3)\/4)\/(1173\/(-184)). Which is the nearest to w? (a) z (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let u(q) = -2*q + 9. Let d be u(0). Let r(v) = -8*v**2 - d*v**2 + 5*v**2. What is j(r(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2090 + -1275. Suppose -1702 = -3*l - 4*w + 738, 0 = -l - 3*w + b. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 375 (c) 4 (d) -2\/13 (e) 0.18 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 180319363 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786647027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -535*t + 3822. Is d(-54) a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2\/9, 50, 0.1, 0.057?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -1\/6 (c) -51 (d) -0.06043 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5397788 to the nearest integer?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1 - 5*h + 2*h + 3 + 4*h**2 - 1. Let j = -11 + 8. Let q(f) = 6*f**2 + 3*f**2 - 6 - 7*f + 13. Give j*q(o) + 7*x(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + 58 + -55?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13284\/5166*14\/(-51)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 4, j: 2}. Give prob of picking 2 j and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -72. Let b(i) = 2*i**2 + i - 10. Let q be b(-8). Suppose 3*h = -2*h + q. Calculate the highest common factor of l and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-4)\/(-16))\/(4\/2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219058180?\nAnswer: 2, 5, 11, 995719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59082910 and 220?\nAnswer: 1299824020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 45*u = -50*u - 25, p - 5*u + 15 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.5, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 26225.\nAnswer: -26226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 6144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -18, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**9\/7560 - g**8\/2100 - g**7\/2100 - 5*g**3\/6 + 6*g. Let m(d) be the second derivative of q(d). Let m(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:52 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from xxxnxxxxxxnx?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12308160 and -97\/104619360.\nAnswer: 209238720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/150)\/((((-1)\/(-7))\/((-246)\/2296))\/62).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1010?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v - 20. Let n be u(-5). Sort 1, n, 7, 2 in ascending order.\nAnswer: 1, 2, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 36. What is the first derivative of -z + 5*f**2 + 0*f**2 - 2*f**2 + 9 wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -170586*s + 1023516. Determine l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11468134.\nAnswer: 2, 19, 301793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 127, 134, 147, 166?\n\"Answer: 3*v**2 - 2*v + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42948 and -799?\nAnswer: 43747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3)\/(i\/(i**(2\/3)*i)*i)*(i**(2\/7)\/i*i)\/(i*i**(-5\/4)*i) assuming i is positive.\nAnswer: i**(269\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 5. Suppose -2*w - 2*w - i = 0. Sort -5, 0, w in decreasing order.\nAnswer: 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.89, -2\/7, -1, -95 in decreasing order.\nAnswer: 0.89, -2\/7, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 266 = p, 3*p = -3*w - 0*w + 771. List the prime factors of p.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 7*l + 3*l + 2597, 5*s - 4*l = 4371. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1747*c - 34 + 35 - c**3 + 5126*c.\nAnswer: -c**3 + 3379*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 350268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73 and 0.2?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.33 - 0.03. Let y = 569 - 565. Which is the nearest to n? (a) -1\/4 (b) y (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 13*s**2 + 3. Let r be q(13). Suppose 5*m = -25, 0 = -2*k + m - r*m + 94. What is the remainder when k is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*h + 7 = 0, 24 = 2*f - 4*h + 2. Let x - 41*x**f - 6*x - 14*x**3 - 60*x**2 = 0. What is x?\nAnswer: -1, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((11\/(-22))\/((-174)\/8)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -2. What is the remainder when 131 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 722.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q**2 + 404. Let g(l) = l. What is i(g(k))?\nAnswer: 11*k**2 + 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 1138118765.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 1\/(-1))\/7. Let i = -4\/1249 - 4984\/3747. Let j(f) = f**3 + 6*f**2 + 6*f + 4. Let a be j(-5). What is the nearest to 0 in a, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 933489 divided by 9063?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k + 2*r + 19, -2*r = 3*k + 9. Let a(x) = -4*x - 4. Let o(g) = -7 - 31*g + 50*g - 28*g. Let d(p) = 7*a(p) - 3*o(p). What is d(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/439 at least as big as -194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -15149, -7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96.17 - 0.83. Is j < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 + 2*n**2 - 2*n - 3. Let l(q) = q + 1. What is 2*l(o) + v(o)?\nAnswer: -3*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/67630 and 29\/615?\nAnswer: 8318490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6144363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2. Let y(b) = 6*b. Let h(j) = -5*j. Let r(z) = 4*h(z) + 3*y(z). Determine r(s(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-12)*(-18)\/40*-2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2438144 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 7:42 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-13 + 11 + 6 + 7*h**2).\nAnswer: 7*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by 55?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 1 (c) 5\/92 (d) 0.13 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 8*m**2 + 9*m. Let y be h(-9). Suppose -3*k - 5*w - 35 = 0, -5*k - 2 - 39 = 4*w. Let u be ((-2)\/6)\/(k\/(-3)). Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18582 - -1040619\/56. What is the common denominator of m and -77\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:30 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6059 + -6058. What is the third smallest value in -2, -259, 5, z, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -297, 2, -249 in ascending order.\nAnswer: -297, -249, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 7:05 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 115?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87.79198 millilitres?\nAnswer: 0.08779198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 36. Calculate g(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (sqrt(363) + sqrt(363) + -3 + -3)**2*4.\nAnswer: -1056*sqrt(3) + 5949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 54*g**2 + 720*g + 1. Determine m(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 3*q - 2*q)*(-12 + 0 + 2) to the form l*q + t and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611700207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29784693613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194, 190, 184, 176?\n\"Answer: -l**2 - l + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 19*j = -79*j. Solve -3*t + j*t = -w + 17, 5*t + 35 = 5*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 - 30*o - 5*o**5 - 15*o**4 + 294*o**2 + 12*o**3 - 121*o**2 - 138*o**2 = 0 for o.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 2. Let b be u(-7). Let s = b + -6. Suppose -3*z + 4*q - 7 = 0, 9*z + 1 = 4*z + 4*q. Solve 3 = -z*n - s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 - -2819?\nAnswer: 285c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -12) + 0 + -6 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1318153371 to the nearest integer?\nAnswer: 36306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*j - 317, -5*j + 0*j + 547 = -2*d. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/(-3))\/(-2 + 410\/123)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170816 to the power of 1\/2, to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciqc when four letters picked without replacement from {i: 1, q: 2, y: 8, c: 2}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2899 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 894511?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198430 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.34 + -30.24. What is the second smallest value in 9, 3, -12, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2\/7 (c) -28 (d) 5 (e) 7.95\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1838 and 3?\nAnswer: 5514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 7*v = 2774202 + 1122690. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 18. Suppose 0*n + 3*l = -3*n - 3, 2*n = -4*l - z. Solve -3*u + n*u = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 280734 and 22484?\nAnswer: 258250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*w + 12*w + 3*l + 1636, 408 = w - l. Suppose -w*p + 410*p = -48. What is the lowest common multiple of p and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w + 1892 = 132*w - 328 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 34611?\nAnswer: 380721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 222621 + -3?\nAnswer: 222618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/19? (a) -3\/5 (b) -19 (c) 0 (d) 1\/8 (e) -0.1 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 2. Let u(l) be the first derivative of 5*l**2\/2 - 4*l + 7. Determine 7*k(t) + 3*u(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w - 396 = 0. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/8)\/(3\/60). Let q = 1889 - 1891. Sort q, 1, z, 0 in ascending order.\nAnswer: q, 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528826972?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/7 + (-46)\/(-322)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1 (c) -22 (d) -0.4 (e) -5 (f) 1\/2030 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-51)\/(-136))\/(63\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in 1\/2, -2\/3, 1, -23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4\/5 (c) -16 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 96?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-3 - (-6 - -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*x**2 - 60*x**2 - 8*x**4 - 5*x + 3*x to the form w*x**4 + k + j*x**3 + l*x + z*x**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((5\/(-27))\/(-5))\/((-15)\/(-90)). What is the smallest value in 1\/4, n, -3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d + 2. Let m(k) = 3 + k - 4 - 2 - k**2. Let j be m(0). Does 10 divide b(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1548 and 1380?\nAnswer: 178020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/20 + r**4\/3 + r**3\/6 + r**2 + r. Let k be -2*(-3)\/6 - 60\/15. Give w(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 165, -1.9, -9, 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2588 - 2592. What is the nearest to 0 in 0.4, -2\/3, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmw when three letters picked without replacement from {m: 16, w: 1, g: 3}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 = -i, 0*p + 2*p + 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**3 + 2*j**2 - 2*j - 2. Let s be n(-2). List the prime factors of s\/(-3) + (1 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9) - 75\/(-27). Suppose 3*s = 2*p - 16, -f*p - 3*s - 10 = s. Let b be (-3)\/(-6) - (-3)\/p. Solve -4*o - 4*l = 40, b*l + 0*l - 5 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-10290)\/(-252) - 2\/(-12) and 5?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbblbbbblb. What is prob of sequence lb?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**3 + 9*z. Let t(x) = 1. Let c(o) = -o + 7. Let h(a) = 3*c(a) - 21*t(a). Calculate h(i(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7409.9098 to the nearest 100.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -409865*o**5 + 228147*o?\nAnswer: -8197300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 674 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-2)\/(-4)*2*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 5*u**2 - 8*u + 6. Let b(y) be the first derivative of 5*y**4\/4 + 2*y**3 - 9*y**2\/2 + 7*y + 7. Calculate -6*b(o) + 7*d(o).\nAnswer: -2*o**3 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 873780679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 + 2007. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-1)\/((-58)\/119). Let t = 1003\/1914 - p. Let o = -2447\/66 + t. Find the common denominator of o and 11\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.072 + -106.928. Let t = r - -109. What is the nearest to 9 in t, -3, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*i - 55*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i + 0*i**3 - 11*i**2 - 1\/4*i**4 + 1\/30*i**6 + 0 - 1\/6*i**5. Factor n(p).\nAnswer: 2*p*(p - 3)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let p(c) = -1524*c**2 + 1522*c**2 - 164 - 94. Give a(p(u)).\nAnswer: 4*u**4 + 1032*u**2 + 66564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20372 divided by 3?\nAnswer: 20372\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*p = -49, -54 = -2*t - 4*p + 3*p. Suppose 419 = t*o + 100. Solve -y - o = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 6}. What is prob of sequence ara?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89386061 is divided by 484.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4987019 minutes in seconds?\nAnswer: 29.922114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) + (-52)\/(-14). Find the second derivative of 2*y + 5 + 5*y**f - y - 5 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 590592680*p**4 + 772440571*p wrt p?\nAnswer: 7087112160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139158\/15 - (-26)\/(-130) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 15 = -3*j, -25 = -4*c + c - 5*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-5)\/(-10) - 0). Let b be ((-13)\/(0 + -1) - h)*-170. What is b rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-3)\/((-45)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 41*w**2 - 13*w + 48. List the prime factors of o(4).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 11:33 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34b (base 16) to base 14.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6 - (37 - 25))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960425283?\nAnswer: 3, 23, 929, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 18 = 53. Which is greater: d or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 23. Suppose p*s - 21 = -4*s. Suppose t**s - 2*t**2 - 1\/6*t**4 - 1\/2 + 5\/3*t = 0. Calculate t.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(0 + 3 - 1)*(-x**3 + 6*x**3 - x**3 - 3*x**3 - 2*x**3 + 4*x**3 + (-3*x**3 + x**3 + x**3)*(-1 - 4 + 3)).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -104\/165 and 191\/420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -15*h**4 - 39471*h**3 - 25954152*h**2 + 15586704*h = 0.\nAnswer: -1316, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2*z**5 - 9*s**2*z**2 + 8*s**2*z + 106*z**6 wrt z?\nAnswer: 120*s**2*z**2 + 12720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/(s*s*s\/(s*s**(-1)*s)))\/(s*s\/(s*s**0)*s*s*s\/((s\/s**(3\/5))\/s*s)*s))\/(s*s**(-1)*s**(-2))**(5\/7) assuming s is positive.\nAnswer: s**(-146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1334 and 129630.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-48)*-2*190\/266)\/((-25)\/580)\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*c + 195*c - 420*c in the form o*c + f and give o.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119478543 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6 + 1 + (40 - 41). Factor -2\/3*u - 1\/3 - h*u**3 + 7\/3*u**2.\nAnswer: -(u - 1)**2*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/(-4)*(-14)\/(-77). Solve 0*x + 0*x**r + 0 - 2\/5*x**3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 319457, 0, 3 in descending order.\nAnswer: 319457, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 592011.5 to the nearest 1000.\nAnswer: 592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-214)\/1498 - (-324)\/14. Put f, -3, 2, 0, 9 in decreasing order.\nAnswer: f, 9, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/9 - 208*r**3 - 58124*r**2 - 4423536*r - 100507842.\nAnswer: -2*(r + 51)**2*(r + 417)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**4 - 34*n**3 + 36*n**2 + 16*n.\nAnswer: 2*n*(n - 4)*(n - 2)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let v(r) be the first derivative of 23651*r**2\/2 - 7167. Give v(k(b)).\nAnswer: 23651*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w + 0*w)*(3*w + 0*w - 5*w) + (-3*w**2 - 1 + 1)*(0 - 3 + 2) - 5*w**2 - 11*w + 11*w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + 2.4. Let l be (4\/10 + 0)\/(-36 - (-1740)\/50). Which is the third smallest value? (a) l (b) u (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(17)*1 + -3 - (sqrt(833) - sqrt(833)*1 - sqrt(833)))*3)**2.\nAnswer: -432*sqrt(17) + 9871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 1844*s**3 + 1472*s**2 - 170000*s - 331200 = 0 for s.\nAnswer: -460, -9, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6318 and 22282?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = 2*i + 24, 0 = -5*t + 5*i + 40. Solve -t = x - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - 104. Let a be 65010\/14 + 5 - (-3)\/s. Suppose 3*l - a = 5*o, -4*l + o + 2*o = -6184. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y - 8. Let b = 1 + 3. Let i be -6*y*b\/(-18). Let j(p) = -p**2 - 5*p - 1. What is j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 472*o**3 + 36972*o**2 + 948632*o - 986078.\nAnswer: 2*(o - 1)*(o + 79)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -234. Let d = 319 - n. Suppose 6*x - x = d. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2426, 2156, 1886, 1616?\n\"Answer: -270*q + 2696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1049*s + 782488 = -8971*s - 9712 for s.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 43015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 3:12 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1\/9, 12, -3, 1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/5 + v**2 - 6*v\/5 = 0. Calculate v.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)*v**2)**(-2)*(v\/v**(-1\/3))**(2\/55)\/(v\/((v\/v**(2\/3))\/v))**(-16) assuming v is positive.\nAnswer: v**(11464\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + r = -4*q + 18, -3*r - 6 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121210110 + 1?\nAnswer: -121210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325.9207 millilitres to litres.\nAnswer: 0.3259207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 1452480?\nAnswer: 1452512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2 + 14*w**2 + 4*w - 5*w**2 - 10 + 0. Does 24 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101112 (base 3) in base 5?\nAnswer: -13023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let o(j) = -j**3 - j - 1. Let p(g) = -5*g**3 + 3*g**2 - 4*g - 6. Let w(c) = q*p(c) + 6*o(c). Suppose -2*i + 4 - 10 = 0. Calculate w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/60 - 7*v**2\/2 + 6*v. Let x(b) be the first derivative of d(b). Let y(g) = 3*g. What is y(x(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/(-4))\/(((-47175)\/370)\/255)?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*(5\/(-10) - (-1)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (4 - 3 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6595, -6594, -6593, -6592, -6591, -6590?\n\"Answer: a - 6596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)\/q**3)**(-46) assuming q is positive.\nAnswer: q**(1610\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2603648 (base 10) to base 12.\nAnswer: a568a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 - 4*q + 1623. Let l(p) = -6*p**3 - 4*p + 1. Calculate g(d) - l(d).\nAnswer: d**3 + 1622","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-3 + 0)) + (-6 - (-40 + 13 + -15))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359 is divided by 182.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 841389719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6327 is divided by 2107.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q + 28 = 91*q + 2*y, 0 = -q + y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0535 minus -4?\nAnswer: 4.0535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37698 and 1379881?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -161. Let z = 13 - 12.3. Let g = -1 + z. What is the nearest to a in -5, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 2)*(165*t**3 + 126*t**3 - 387*t**3) to n + y*t**2 + o*t + d*t**3 and give d.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c = 67*c - 48 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788979?\nAnswer: 3, 181, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14768, -51168, -111842, -196790?\nAnswer: -306012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f**5 + 165*f**4 + 2135*f**3 - 15060*f**2 + 1980*f + 10800 = 0. What is f?\nAnswer: -10, -3\/4, 1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 30 + 33 = 0, -5*a + 13 = -m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(16\/5)*j\/(j\/(j**(-23)\/j)*j) assuming j is positive.\nAnswer: j**(-109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14271?\nAnswer: 3, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**3 - 4*i**2 - 4. Let z(p) = 35*p**3 + 15*p**2 + 15. Determine -15*b(f) - 4*z(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 837474812 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7433*a**4 + 1085*a**3 - 207*a**2 + 85623*a wrt a.\nAnswer: -178392*a + 6510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 3 = 3*c. Let r = 11 - 15. Let n = r - -4. Sort -4, c, n in decreasing order.\nAnswer: n, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c (base 16) in base 13?\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1900) + (-2 + sqrt(1900))**2).\nAnswer: -180*sqrt(19) + 11424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/4 + -15\/44. Put -0.3, 5, z, -4 in increasing order.\nAnswer: -4, -0.3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 1163*t**2 - 3*t + 12645. Let p(m) = 2*m**2. Give p(a(l)).\nAnswer: 10820552*l**2 - 27912*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4054 - -7188. Suppose -6*m = -76 - n. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*j**4 - 36*j**3 + 63*j**2 - 2*j - 382648 wrt j.\nAnswer: -708*j**2 - 216*j + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus 0.454?\nAnswer: -0.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*s - 4, 4*q - 22 = 5*s + 67. Solve q = 10*g + 81 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 15*k**2. Let b(i) = 3. Let s(y) = -y - 4. Let a(w) = 6*w + 32. Let d be a(-6). Let r(u) = d*b(u) - 3*s(u). What is r(x(z))?\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/11)\/(u\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(-106\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 95*m - 12. Calculate t(-2).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + 2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -94 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*n - 6776 = -16*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*w**2 - 9*w**2 - 3*w**3)*(-3 + 1 + 0)*(-2 + 2 - 3*w) to a + m*w**2 + u*w**4 + c*w + y*w**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-3 - -7) + 7 - (-17 + 44))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -54) + 28 + 0 + 5 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 865 + -785. Suppose -10*f - 30*f + k = 0. Find t, given that 32\/11*t + 128\/11 + 2\/11*t**f = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -15*a + 38. Suppose -4*c = -n + 2797, a*n + 5*c = 8*n - 2802. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/2 + l**2\/2 - 6*l. Let j(y) = -4*y - 2. Calculate -2*j(x) - 3*w(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -92.8377.\nAnswer: -1763.9163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5684 and 40484.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4317441*c**2 - 145654*c - 45 wrt c?\nAnswer: 8634882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13210\/3 - 52691\/12. Calculate the common denominator of y and -11\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 + 5*s + 5. Let o = 5 + -10. Let k(h) be the first derivative of -4*h**3\/3 - 3*h**2\/2 - 3*h - 684. Give o*k(a) - 3*l(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 3, y: 3}. What is prob of picking 1 l and 2 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - r + 3785 = -0*r, 5*p - 9450 = -5*r. List the prime factors of p.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 160\/28 + 2\/7. Let r(l) = 34*l + 1. Let g be r(q). Let y = -98 + g. List the prime factors of y.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52, -66, -106, -184, -312, -502?\n\"Answer: -2*w**3 - w**2 + 3*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/4909 or 0?\nAnswer: 4\/4909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.332497 rounded to 3 decimal places?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:46 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-6))\/((-6)\/21). Suppose -3*j = -f + 2. Solve 22 = -j*w + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 195.405 weeks?\nAnswer: 1969682.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*f - 4 = -2*t - 224*f + 8, 6*f = 4*t + 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose -5 = -3*h + 4, -2*q = d*h - 7. Suppose 3*y + 4 = -3*v + 2*v, -5*y = -2*v + 25. Are y and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a = 28. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 30 = -5*r, -5*o + 12 + 8 = r. Sort 0, 7, o in ascending order.\nAnswer: 0, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*o - o + 116 = 0, 0 = 5*o - 20. Let w = -21 + b. Suppose 2*c - w*d - 72 = 0, -9*c + 4*c + 5*d = -190. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-4)\/((-84)\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 21 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 2*u)*(1 + 1 - 4) - 1 - 6*u + 1 + (-u + 3 - 3)*(-3 + 3 + 1).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/499, -0.2, -2\/115, -2, 1\/3.\nAnswer: -2, -0.2, -2\/115, -2\/499, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 15*w + 77. Let p be m(4). Suppose 3*r + p = -4*t + 6*t, r + 9 = 5*t. Let b be (-2)\/(-1*1*2). Are b and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 2\/7, -4\/3, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 702646572764?\nAnswer: 702646572764.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 1 - 1961*p**4 - 21*p**5 + 1961*p**4 + (3*p - 3*p + p**2)*(-p**2 + 2*p**3 + p**2).\nAnswer: -19*p**5 - 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28078\/(-505) + 26\/10. Which is smaller: c or 121?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 273\/(-15) - 6\/(-30). Let f be (7028\/42)\/((-4)\/r). Suppose -3*n + 0*n - 932 = -5*k, -4*k - 5*n = -f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 121. Suppose 295*o - 300*o = 2*u - 50, 0 = 2*u - 3*o - 34. Let p = f + u. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 2*k**2 - k - 4. Let t be o(3). Let w(v) = -5*v + 5*v - v**2 + 8*v**t. Let s(b) be the third derivative of b**5\/30 + b**2. What is s(w(i))?\nAnswer: 98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2 - 2757*c**3 + 3*c - 9 + 2774*c**3 - c**2 wrt c?\nAnswer: 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13 + 5 + v**2 + 4 - 6*v + 0. Let l be i(7). Suppose 0*c + 102 = 2*c - 2*d, -5*c + 215 = l*d. Is 45 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.935 + 1.565. Let w = p - -0.37. Let k = -10 - w. Which is the nearest to -1? (a) 3 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.507795 to one decimal place.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378 by -254.\nAnswer: 189\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 30. Determine w(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.134219984 take away -173212?\nAnswer: 173218.134219984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/7 + 38\/(-12). Sort 1\/4, 0.3, o in decreasing order.\nAnswer: 0.3, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105 + 95*h**4 - 52 - 58*h**4 + 4*h**2 wrt h?\nAnswer: 148*h**3 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7366 or -7413?\nAnswer: -7366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**5*d\/d**(1\/5))\/(d\/d**6*d**(1\/3)) assuming d is positive.\nAnswer: d**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120 (base 4) in base 5?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*a + 9 = -6, 5*a - 45 = -4*u. Let s be -1 - -1 - (-24)\/6. Suppose s*o = 8*o - 8. Solve 2*y = 2*v + o*v, 0 = 3*v + u*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210251 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**6 + 3*s**6 - 3*s**2 - 4*s**6 + s**2 wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 972\/5 + 537\/5*k**2 + 4752\/5*k.\nAnswer: 3*(k + 18)**2*(5*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 + -62. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 365*o - 361*o + 3 + 52*o - 1 - 5.\nAnswer: -674*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + d - 4)*(-1 + 4 - 2)*(5 + 39 + 1).\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.984 hours to seconds.\nAnswer: 39542.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + q - 6*q = 12, 3*z - 18 = 5*q. What is the units digit of (-6)\/2 - (-5 - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100010 (base 2) in base 9?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 535*u + 8. Let b(c) = c**2 + 11*c - 32. Let r be b(-13). Let z be m(r). Let a = z - -7145. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.2, 125, -283 in increasing order.\nAnswer: -283, 0.2, 1\/3, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*g + 471, -8*g - 635 = 4*l - 13*g. Let p = l - -149. Let f be (6400\/(-3))\/4*p\/1. What is f rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*p, 4*u = u - p + 6. Let d(q) = 2 + u*q - 2*q + 1. List the prime factors of d(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 55 = 4*v, 4*i - v + 14 = 79. Suppose 85*w = 4147 - 747. What is the lowest common multiple of i and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1981*p + 12*p**3 + 15833*p**2 - 9*p**3 + 17*p**4 - 15834*p**2 wrt p.\nAnswer: 204*p**2 + 18*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 - 49*q + 11. Give h(-10).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, 3\/4, 59, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/465354 and -13\/1163385?\nAnswer: 2326770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 6. Let w be 2*(1 - j - 5). Let p = -5 - w. Put -3, 1, p in decreasing order.\nAnswer: 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*g + 15, -3*h + 4*h = -4*g + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 1, d: 1}. What is prob of picking 1 q and 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 373042135 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7454*y - 395064. Give m(53).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 13*q**2 + 234*q - 108. List the prime factors of i(-26).\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.87306495 to the nearest integer.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 555737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3292\/851 - 84\/23. Let c(y) = -y**3 + y**2 - 2. Let m be c(-1). Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.3604 rounded to 1 decimal place?\nAnswer: -73.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 15*l**2 + 63*l - 911. Calculate r(15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1.97 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*u**5 + 3\/2*u + 0 + 3*u**3 - 4*u**2 + 0*u**4.\nAnswer: -u*(u - 1)**3*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 + a + 1. Let l(v) = v**3 - 9*v**2 + 3*v - 2. Let c(z) = l(z) - 2*s(z). Calculate c(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27280147 to the power of 1\/2, to the nearest integer?\nAnswer: 5223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t + 0*t + 5*t)*(-7086 - 7081 + 1087) to the form a*t + h and give a.\nAnswer: 13080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3604.9 - 3604.7. What is the second smallest value in 5, u, 20, -2\/31, -0.3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 24423728?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 <= -986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.13 (b) 3\/4 (c) 0.5 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-1 + -1 + 12\/5)) + (-108192)\/3220.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by -11?\nAnswer: 155\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1382 and 6219.\nAnswer: 12438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.4 (b) 20 (c) -0.43 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94795 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609 + -2.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13214360 - 1?\nAnswer: -13214361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:59 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let i(m) be the third derivative of -m**5\/20 - m**2. Let b be (-1)\/(-5 - (-26)\/6)*4\/3. Give b*i(v) + 5*o(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 576653.6 millennia in decades?\nAnswer: 57665360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 13*j**2 - 3*j - 42. Let v(y) = 107*y + 522. Let t be v(-5). Determine q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:26 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 4*j - 15, 129*j - 127*j = -3*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.286*-3.\nAnswer: 0.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4)*(10 - (-44 + 74)). Solve -f + 13 = -25*d + 28*d, -4*d + 32 = i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*m - 2 = 0, -x + 4 = 3*m + m. Suppose x = 2*d - 6*d + 64. Solve -4*z - d = -4*t, 3*z + 18 = 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -0.5, -13\/19, -5, -0.29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/(a*a**(-18))*a))*a**(-4))**(-2\/13))**40)**(-7\/5) assuming a is positive.\nAnswer: a**(1680\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/9 - 64*x**2\/9 - 58*x\/3 = 0.\nAnswer: -29, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmjmpjajmjmjmm. Give prob of picking 1 a, 1 c, and 2 j.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00261118 rounded to 5 decimal places?\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 9*b + 9. Let c be s(10). Which is smaller: 12 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-10)\/(-15)))\/(1\/(-3)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046608 rounded to 5 dps?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*c + 33 = 23, 4*b = -c - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87209012 divided by -11.\nAnswer: 7928092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 9764*h + 19544.\nAnswer: -4*(h - 2443)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*l*m**3*n + l*m**2*n + 2767*l*n + m**3*n + 3341*m**3 + 4*m**2*n wrt m.\nAnswer: 456*l*n + 6*n + 20046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 2.91956\nAnswer: -14.5978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**3 + 17*l - 17. Let a(m) = -4*m**3 + 6*m - 6. Let y(i) = 8*a(i) - 3*r(i). What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxns when four letters picked without replacement from ixnzsnnnnzuunin?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8249718 (base 10) in base 5?\nAnswer: 4102442333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myy when three letters picked without replacement from msmmssmsyy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -371, -771, -1231, -1781, -2451, -3271, -4271?\n\"Answer: -5*x**3 - 365*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 9*q + 32. Let s be m(-3). Let a be 24\/(-4)*(s + 19\/6). Solve f + 0*f + 1 = 5*c, 0 = -a*c - f + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 + -2 + 1)\/(-1). Let m = y + 18. Calculate the least common multiple of m and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 2*w - 3. Let m(r) = -4*r**2 + 10*r + 5. Let d(j) = j. Let c(g) = 5*d(g) - m(g). Determine -2*c(t) + 5*p(t).\nAnswer: 2*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-4\/9))\/i**(-3\/4))**(-3\/7) assuming i is positive.\nAnswer: i**(-115\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.00000058. Round y to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + 1. Let k(h) = 2 - 3 + 37*h**2 - 30*h**2. Suppose -14*r = -9*r - 15. Suppose -3*w = 6 + r. Calculate w*k(u) - 5*x(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3*h + 0*h)*(4*h**2 + 3 - 3)*(5*h - 4*h - 3*h)*((-2 + 6 - 5)*(4 - 2 - 1) - 7 + 11 - 6 + (3 - 1 + 0)*(2 + 1 - 1)).\nAnswer: -40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193253.\nAnswer: 149, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/4, 2, -1612, 0.1, 3?\nAnswer: -1612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**3 - 30*k**2 + k. Let b(p) = p**3 - p**2 + p. Determine b(s) - o(s).\nAnswer: -8*s**3 + 29*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 18, t: 1}.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 8:53 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116)\/2233*(-7)\/(-8)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 301944311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*k**2 + 0*k - 2*k - 291 + 280 with respect to k.\nAnswer: 98*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose 0 = -c - 3*t - 10100006, c - 10099996 = 2*c - u*t. What is c rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 66*f**3 + 681*f**2 + 1152*f + 540.\nAnswer: -3*(f - 30)*(f + 1)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*x + 0 - 91*x + x + 85*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9344*f**3 - 15188?\nAnswer: -28032*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**4*q**2 - 3749489*f**2*q + 7*f*q**2 - 5*f*q - 11791*q**2 wrt f.\nAnswer: -36*f**2*q**2 - 7498978*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1130 - -5644\/5. What is the common denominator of -16\/131 and r?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.25 - 7.250003434. What is n rounded to 7 dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.24, -14, 0, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1422888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpppeeptt. What is prob of sequence tp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312075099 divided by -1497.\nAnswer: 208467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-4 - (-2)\/1). Let g = t - -3. Suppose -5 = -2*k - 9. Which is the third smallest value? (a) 0.5 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j**2\/2 - 234*j - 506 = 0. What is j?\nAnswer: -2, 506\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.519733cm to micrometers.\nAnswer: 55197.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 - 365 + 27*o + 425)*(0*o**2 - 2*o**2 + 3*o**2).\nAnswer: 27*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -160, -245, -330, -415?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 158, 236, 314?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 90892.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b + 12147 + 341 = -121*b - 44*b for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 894*w**2 - 34*w - 8. Let q(l) = -895*l**2 + 36*l + 5. Let a(z) = 2*p(z) + 3*q(z). Find the second derivative of a(j) wrt j.\nAnswer: -1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 + (-9)\/((-648)\/(-880))\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 1376*i - 1378*i - 16, 5*j = 4*i - 34 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 731\/790 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(13))**2 + (sqrt(13) - (2*sqrt(13) + 3)) - (-1*sqrt(156)*-3)\/sqrt(12).\nAnswer: -4*sqrt(13) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15733 - -110135\/7. Factor -4\/7*f**2 - 8\/7*f - a.\nAnswer: -4*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 20. Suppose -k - i = -3*k. Let f(o) = o**2 - 6*o**2 + 3*o**2 + o**k. Let q(x) = -x. Calculate f(q(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 2, -3, 306 in descending order.\nAnswer: 306, 65, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10102?\nAnswer: 2, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j. Let k(h) = -11*h. Calculate -2*k(x) + 5*y(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(28*(-14)\/(-49))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -0.08. Let r = -0.05 + k. Which is smaller: r or 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22174 - -22174. Let x = -3 - -2. Which is the fourth smallest value? (a) -0.2 (b) 1\/9 (c) l (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 + -35. Let q(g) = g**2 - 25*g - 72. Let p be q(27). What is the units digit of (-4)\/p - h\/72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, 170, 368, 632, 956, 1334, 1760, 2228?\n\"Answer: -j**3 + 42*j**2 + 7*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -6*z**4 + 4119*z**3 + 2961063*z**2 - 22400874*z + 26925048 = 0?\nAnswer: -444, 3\/2, 6, 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))**(1\/17)*m*m**(1\/6)\/m*m\/m**(-7))\/((m\/(m*m**2))**18)**33 assuming m is positive.\nAnswer: m**(7177\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58147377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 + 181*p**2 + 156*p + 4994. Give o(-45).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117)\/sqrt(729))**2 - (sqrt(637) - (3*sqrt(637) + -5)).\nAnswer: -68\/81 + 130*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 5*m - 587. Suppose p - m = -5*v, -12 = 5*p + 13. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6794.78 decades in years?\nAnswer: 67947.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7072417?\nAnswer: 11, 642947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjwjjjj. Give prob of sequence wjj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-5*u**2 + 3*u**2 - 7*u**2)*(15*u - 63 + 63) in the form k + q*u + v*u**2 + h*u**3 and give h.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.939 * -6.07.\nAnswer: -272.77973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5095 by -5.\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5783189cm?\nAnswer: 5783189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:24 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 1\/5, 1102?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 219. Let a = 18349 + -18315. Calculate the remainder when z is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 66.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**3 + s**2 + s. Suppose 0 = 3*c + n - 5, 2*c + n - 2 + 0 = 0. Suppose 4*m - 3*y = -7, m + m - c*y = -5. Give v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 26. Let k(d) = d**2 + 12. Let b be k(n). Solve -4*s - 6 = -5*l - 22, 0 = -3*s + b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*r**2 - 227*r**2 - 52*r**4)*(-4 - 66 - 14).\nAnswer: 4368*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**8\/252 - 13*s**7\/630 - 11*s**6\/360 - s**5\/90 - 16*s**2. Determine p, given that c(p) = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5134 and 10098.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 + 301. List the prime factors of l.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, p: 3, s: 9}. Give prob of sequence eses.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(2*(-4)\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1542972 by -5433.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 82 = -2*w, 0 = 4*s + 2*w - 259 + 231 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*t - 2 = -4, t = 4*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 38902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*r - 7 = -b, 5*r + 21 = -b. Suppose -b*j + 6 = -14. Solve 4*q - j*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.721*0.3.\nAnswer: -3.2163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**3 - 3*c**3 + 39*c**3)*(-2 - 2 + 2 + 4).\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115025*h**2*l**3 + 108024465*h**2*l**2 - 25*h*l**3 wrt l.\nAnswer: 690150*h**2 - 150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 d when four letters picked without replacement from dddddddduududd.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 13483936*p + 26967888.\nAnswer: -4*(p - 2)*(p + 3370986)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.895 and 11?\nAnswer: 10.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.09 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-2))\/((-97)\/194).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 6, l: 1, c: 1}. What is prob of sequence ck?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*12 + -3. Let s(n) = -n**2 + 2*n + 1. Let l be s(q). Which is smaller: l or -2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/20 and (14469\/2322 - 6) + (-8)\/(-36).\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 15*n. Solve 5*w + n*w + o = 2, -6 = 2*w - 3*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 6*m**2 - 5*m - 3. Let c be l(7). Suppose 4*f - x = -c - 5, -f = -4*x + 19. Let r be f\/(-3) + 4 + 3. Solve r = -5*v + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 1\/3 - 1\/3*m**4 + 2\/3*m**2 + 0*m**3 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6*(-105)\/(-14). Suppose -h*x - 100 = -280. Calculate the remainder when x is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 87\/(-9) + 5 + ((-1426)\/(-6))\/(-23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(1\/5))\/v)*v*v*v)\/((v\/(v*(v*v**(1\/8))\/v))\/v))\/((v*v**(-1)\/v*v)\/(v\/(v\/(v\/v**(-4))))) assuming v is positive.\nAnswer: v**(397\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -13*s**2\/2 - 8. Let o(l) = 2*l**2. Calculate o(m(r)).\nAnswer: 338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/16 and -39\/188?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from teinnzneinhz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3396 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hizquzghzzhzh. Give prob of picking 1 h and 1 u.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807 + 937 = -2*r. Let s = r + 2049. What is the first derivative of -19 - 26*u**3 + s*u - 1177*u wrt u?\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (0 - -1)*(-39)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 3:36 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*v = -2*n + 7, -4*n - v - 2 = 0. Let d be n*(4 + -3)*3. Is 2\/d*(-27)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1010*l**3 + 2*l**2 + 2666*l wrt l?\nAnswer: 6060*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let h(v) = 61*v**3 - v**2 - v - 1. Let m be h(j). Calculate the remainder when m*1*3\/(-6) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 5*b - 2*b. Let n(q) = 18*q. Give n(c(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 + 0.26. Let g = -0.09 + p. Put -2, -5, g in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-38)\/(-90) - (-2)\/(-9)). Let p = -23.4 + 26. Let c = p + -3. What is the third biggest value in -2\/11, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6764753 millennia in years?\nAnswer: 676.4753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*n - 165*n + 158 + 696 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222307 and 4192?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49813 is divided by 15874.\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f - 122 = 2*f + 108. Let v(r) = r + 5*r**2 + 2 + 0 + 5. Is v(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 2. Let p(m) = -m**3 - 11*m**2 + m + 8. Let w be p(-11). Calculate l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 4*p + 2*p)*(-4*p + 1 - 1)*(1 - 2 - 2)*(-2 - 2 + 3).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26059215 or 26059217?\nAnswer: 26059217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*2 + 5 + sqrt(48)\/sqrt(6))*-4)**2.\nAnswer: 8000*sqrt(2) + 80400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let b(y) = -y**2 - 34496. Calculate b(c(k)).\nAnswer: -4*k**2 - 34496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - i + 9, -2*i + 0 + 8 = l. Suppose -11 + l = -3*r. Let j(n) = -n + 17. Calculate the remainder when j(13) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 1. Let o = 3 + -6. Let j be 1\/(7\/o - -2). Let d(y) = -9*y + 1. Let k(m) = -17*m + 2. Let v(c) = -7*d(c) + 4*k(c). Give j*f(r) - 4*v(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 + 8*q = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -1\/2*a**2 - 33 + a. Calculate x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 3810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 + 203 = -2*s, 3*h - 100 = h + 60*s - 0*s for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*y**4 + 49*y**2 - 6*y**2 - 54*y**4 + 4*y**2 - 251 + 248 wrt y.\nAnswer: -4896*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 59. Suppose 8 = -2*s, x = 4*d - 4*s - 0*s. Let z(y) = -y**2 + 6*y - 3. Give z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*j**3 + 2 - j**3 - 3*j**3 - 4*j**3 - 1 - j**3 + 1 + j**3 - 3*j**3 + 4*j**3 + (0 + 0 - 2*j)*(6*j**2 + 0*j**2 - 4*j**2) - 2*j - 2 + 2 + j**3.\nAnswer: -6*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 816*d**2*i*y**3 + d**2*i*y**2 + 82*d**2*y**2 - d*y**3 wrt i.\nAnswer: 816*d**2*y**3 + d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/136 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*a = -32, 4*a - 38 + 26 = 0. Let c(i) = 8*i - u*i - 10 - 5*i. What is c(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11d05 + 410?\nAnswer: 12315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 - 50*n + 215. Let h(l) = -l**2 + 3*l + 2. Let i(k) = -10*h(k) + s(k). Factor i(z).\nAnswer: 5*(z - 13)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -599, -603, -611, -623, -639, -659, -683?\n\"Answer: -2*m**2 + 2*m - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -60*b + 1. Suppose 26 = -5*a - 3*t, -5*a + 5*t = 72 - 22. Let q be c(a). Calculate the common denominator of -61\/12 and 4\/(-10) - q\/110.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -149*i**8\/336 + i**5\/30 - 23*i**3\/3 - 6*i**2 + 3. Find the third derivative of t(l) wrt l.\nAnswer: -8940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001436801 rounded to six dps?\nAnswer: -0.001437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*u - 21 = 0, -25 = -3*m + 88*u - 83*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*l*p**2 + 4*l*p*u - 7*l*p - l - 165*u + 4 wrt p?\nAnswer: -52*l*p + 4*l*u - 7*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5477740*j**4 - 1401121*j**2 + 2*j.\nAnswer: 131465760*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(0 + -2 + 2). Suppose s = -5*w + 6*w. Suppose w = -u - 2*u - 480000. What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011781881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7980 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9647 (b) -58\/5 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -17*n**2\/2 + n + 3. What is the derivative of k(c) wrt c?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/(-5 + 104\/20). List the prime factors of p\/(-12)*12 - -122.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9583266 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -0.052647\nAnswer: -0.052647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58227360455025 - 3?\nAnswer: 58227360455022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.11, -1830, -3\/7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-18\/7)\/p*p*p*p**(-1\/2)\/p*p*p\/((p\/((p*p**9\/p)\/p))\/p)*p**(-16) assuming p is positive.\nAnswer: p**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 617\/5 or -0.1?\nAnswer: 617\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 6*u + 23. Give f(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/17 - 8756268*i**3\/17 - 12778704881304*i**2\/17 - 6216320257422556304*i\/17.\nAnswer: -2*i*(i + 1459378)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*g - 128*g + 86*g + (6*g - 12 + 12)*(1 + 3 - 2) to the form d + s*g and give s.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(153\/68 - 15\/6). Which is the nearest to 2? (a) 0.3 (b) 9 (c) 5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/24? (a) -5 (b) -148.46 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express f - f - 4*f as m + b*f and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose -12 = -2*h + 4*h - p*t, 12 = -3*h + 3*t. Suppose 0*j + 4*c + 42 = 5*j, h = -2*j + 5*c + 10. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/6)\/(-5)*0. Let i = 3 + o. Suppose 87 = i*x + 3. What is the remainder when 111 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*z = -3 - 9, n - 19 = -3*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(72)\/sqrt(3)*-5 + sqrt(216)\/(-2*sqrt(9))))\/(-6*(sqrt(96) - (1*sqrt(96)*2 - sqrt(96)) - sqrt(96))\/sqrt(8)).\nAnswer: 11*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122400 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdyxegxtxttyytg. What is prob of picking 3 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*h**3*y + 113309*h**3 - 43*h + 2*y - 86784 wrt h.\nAnswer: 906*h*y + 679854*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/8 - d**3\/3 + 1968*d**2. Determine n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + f**4 + 2*f - 3*f - 11*f**2 + f**3 - 5 to the form d + r*f + a*f**2 + x*f**3 + j*f**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57848*w + 0*w**2 + 57848*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062714 is divided by 531357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(10\/11))**(-47)*f\/(f**(-5\/7)\/f*f)*f*f**(1\/4) assuming f is positive.\nAnswer: f**(-26723\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 56*m - 20. Suppose -5 = 27*i - 59. Let y be g(i). Calculate the highest common divisor of 598 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/18907 and 97\/189070?\nAnswer: 189070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 1:24 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -51, 0.06, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + 32\/(-48). Let g = 2622\/7 - 374. Is b at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-369)\/9*1)\/((-2)\/422) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 131*z**5\/60 + z**3\/3 + z**2 - 169*z. Let b(c) = -3*c. Determine b(y(f)).\nAnswer: -393*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1290 and 31\/400330.\nAnswer: 1200990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*m = -5*u + 851*m - 15, -u - m + 3 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*b - 149*b + 11 = -2*h, 5*b = -3*h - 23. Let x(q) = -q**2 - 4*q + 7. Give x(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + -43.98. Let o = -86 - g. Let x = 42.3 + o. Which is the closest to -2? (a) -1 (b) x (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96772732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 525?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 20407*w + 244878. Calculate r(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (-3 - (-10 - (11 + -14)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 43. Find the second derivative of -6*o**n - 16*o**4 - 21*o - 14*o**4 wrt o.\nAnswer: -432*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 8. Let i = -19 - r. Let y = -0.36 + 1.36. Sort -1\/8, y, i in increasing order.\nAnswer: -1\/8, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhfhfhhhfhhh. Give prob of sequence fff.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 17. Suppose -4*t = -2*m - 0*t + 6, -h*m + t = -12. Solve m = -4*x - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 29*x - 8. Let n be v(11). Let i(f) = 2*f**3 + 20*f**2 - f + 16. Let b be i(-11). Let o = n + b. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 444 + -442. Let t = -4 + 2. Put 0.2, 5, r, t in ascending order.\nAnswer: t, 0.2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/15)\/((((x**(-4)\/x)\/x)\/x)\/x)*(x**(-1\/3))**21 assuming x is positive.\nAnswer: x**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*m - 60, -2*i = 5*m - 5 - 10. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -20*p**5 + 132*p**4 + 2756*p**3 - 2340*p**2 - 17568*p - 6480 = 0.\nAnswer: -9, -2, -2\/5, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 7)*(-39)\/6. Solve -w = -4*s - m + 5, -5*s - 5*m + 30 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1424023 greater than or equal to -1423784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -69*w**2 - 100*w. Let j(f) be the first derivative of f**3\/3 + f**2\/2 - 47. Let l(o) = j(o) + q(o). Find the second derivative of l(z) wrt z.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019087 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c - 4. Let g be (0 - (-1)\/(-1))\/1. Put c, 3, g in increasing order.\nAnswer: c, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/3 - 5702*x**3\/3 - 22862*x**2\/3 + 62822*x\/3 - 11420 = 0. What is x?\nAnswer: -6, 1, 2855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -259, -884, -2113, -4150, -7199, -11464, -17149?\nAnswer: -24458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 481, 711, 1127, 1723, 2493, 3431, 4531?\n\"Answer: -w**3 + 99*w**2 - 60*w + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610704 is divided by 300.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -34.2, -42\/11?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -212*k**2 + 135*k - 3. Let d(g) = -637*g**2 + 403*g - 8. Let a(v) = -3*d(v) + 8*z(v). What is the second derivative of a(b) wrt b?\nAnswer: 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p - 15. Let c(j) be the first derivative of 7*j**2\/2 - 7*j + 2082. Give -11*c(y) + 6*t(y).\nAnswer: y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1355 (base 6) to base 11\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 165.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.4, 1\/5, 5\/6, -58, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.4 take away 2.2320329832?\nAnswer: -33.6320329832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0*s**3 - 12*s**2 - 26*s + 0*s**4 - 3\/4*s**5 + 0. What is the derivative of y(j) wrt j?\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q - 54*q = -166430. What is the least common multiple of q and 44?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 + 460*t. Let k(d) = -72*d**2. Determine b(k(u)).\nAnswer: 5184*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127286, 127207, 127128, 127049, 126970, 126891?\nAnswer: 126812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24686\/17 - 324127\/187. Let q = c + 281. What is the second biggest value in -4, q, -7\/19?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13856.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, 288, 798, 1512, 2430, 3552?\n\"Answer: 102*s**2 - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43290 divided by 78.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1240 or -1167?\nAnswer: -1240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 379 + -373. Does 2 divide 9\/r*((-1626)\/(-18) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331553 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -2\/333, -3\/4, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 229151*y + 16*y**2 - 229151*y. Let r(i) = 8*i**2. Determine g(r(f)).\nAnswer: 1024*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 15*z**3 + 23 + 3*z + 3*z**3 + 4*z.\nAnswer: 18*z**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 + 2*y**4 - 5*y**2)*(3*y - y - 3*y) + 1 + y**5 + y**3 - y**3.\nAnswer: -y**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:51 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 768 - 759. Solve s = -0*s - 2*c - g, -2*s + 4*c + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*x = -7*x + 10, x + 4 = b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11354520.30000046 + 11354527.3. Let r = 10.1 + -17.1. Let y = r + o. Round y to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81601\/12 + -6790. Let t = -8761 - -192637\/22. What is the common denominator of t and v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = -4*h. Let i = 172 - 212. Let c = h - i. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 449 - 449 - 11*d**2 + 3*d in the form w*d**2 + t*d + u and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -5 (c) 4 (d) 0.8 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -21 - (0 + 6 - 4). Let w = 372 - 210. Calculate the greatest common divisor of w and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036 - 57*c**3 - 651 + 583*c**3.\nAnswer: 526*c**3 - 1687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 2*d**3 + 7*d**2 - 3*d**3.\nAnswer: -5*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -32\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 387002831 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 24*y**2 + 11*y**2 + y**3 + 110*y**2 + 44 + 245*y**2 as a*y + k*y**2 + v*y**3 + z and give k.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1.415, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6) - (-4)\/24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -25fa?\nAnswer: -25f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/11)\/r*r)\/r)\/((r**(-6)*r)\/r))\/(r\/r**(2\/17)*r*r**4) assuming r is positive.\nAnswer: r**(-131\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -420 - -532. Solve -113*t = -i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*s = -59*s - 2184 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/52 - 203\/468. Suppose s = -5*v - 6, -2*v - 4 + 0 = 0. Let g be (-2)\/(-4)*(3 + -5). What is the third biggest value in i, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 g, and 1 q when four letters picked without replacement from {i: 4, q: 1, g: 2}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - 11?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*(s\/(s\/(s\/(s\/s**0)*s)))\/s*s)\/s*s))**(1\/32)\/(((s**2*s*s)\/s)\/(s\/s**(-2\/17)*s)) assuming s is positive.\nAnswer: s**(-257\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v = 18*v + 156. What is the remainder when 192 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c - 4. Suppose -c*l + 30 = l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172.679mg in tonnes?\nAnswer: 0.000003172679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 67*j - 9*j - 4*j.\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2178, -4262, -6278, -8226, -10106?\nAnswer: -11918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/(-5))\/(2\/(-55)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/4)\/(2\/(-426)). Let s = 53 - m. What is the biggest value in -2, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 + 11*q - 12. What is the units digit of t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -9) + 2 + -35?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -7 + 25. Suppose 4*d - 3 = i. Suppose 4*c - d*v = -v + 54, -2*c = -5*v - 47. Solve 3*y = h + c, -3*h - y = 4 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 9*i - 17. Calculate u(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/60 - s**4 - 625*s**3\/18 - 98*s**2 + 1406*s + 2. Find r, given that c(r) = 0.\nAnswer: -12, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10*r + 5*r = 0. Suppose 3*p - 2 - 10 = 0. Let m = 8 - p. Solve r = -u - 0*u + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 1\/9, 0.1, -0.008?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -603210 (base 9) to base 7.\nAnswer: -3013542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*j**3*o**2 + 2*j**3*o - 31*j**2*o**2 - j*o**2 - o**2 wrt j?\nAnswer: 564*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/2)\/d)**(3\/11)\/(d**(1\/6)\/((d\/(d\/(d\/((d\/(d*d**(-2\/21))*d)\/d))*d))\/d*d*d*d)) assuming d is positive.\nAnswer: d**(433\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 63 = 9*i. Let a be 12*i\/(84\/8). List the prime factors of (-3 + (-510)\/8)\/(3\/a).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -50 - 41 + 6*u + 202*u. Let w(a) = -9*a + 4. Let s(b) = -4*n(b) - 91*w(b). Calculate the remainder when 36 is divided by s(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 16) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 140*y**4\/9 - 526702742*y**3\/9 + 495385435252580*y**2\/9 - 24376095569126*y - 1572651434916 = 0. Calculate y.\nAnswer: -2\/35, 1\/2, 1881081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 66*q - 1278. Calculate g(22).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -70.\nAnswer: -70, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/57*(66 + 4165\/(-68))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s\/((s\/(s*s**(-4)))\/s))*s)*s**(-1)\/s*s**(-4\/5)*s**(4\/7)*s)**(-50) assuming s is positive.\nAnswer: s**(1130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6 - 5) + 2 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) 3\/7 (d) 4\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 11. Let t(z) = 2*z**2 + 23*z - 20. Let d be t(f). Let x(q) = -q**3 - 7*q**2 + 7*q + 20. Let g be x(d). Which is smaller: 26 or g?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-33)*26\/(-2)*(216\/24)\/(-117)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*a = 3*r + 136*a - 6, -4*r + 8 = -2*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*z**3 - 200*z**3 - 1028*z**3 + z**4)*(3 + 2 - 6).\nAnswer: -z**4 + 1160*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 12. Let f be a(-4). Let n(p) be the second derivative of f - 1\/3*p**4 - 4\/15*p**5 + 1\/3*p**2 + 0*p**3 + 5*p - 1\/15*p**6. Factor n(x).\nAnswer: -2*(x + 1)**3*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/24 + 11*o**3\/6 + 5*o**2\/2 - 5. Let a(s) be the second derivative of z(s). What are the prime factors of a(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2 - s. Let b(u) = -232690 - 2*u**3 + 3*u**2 + 3*u + 0*u**3 + 232690 + 0*u**2. Suppose 0 = 3*n - 17 + 5. Determine n*b(p) + 12*k(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17000383.\nAnswer: 19, 571, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.294 + 3.294. Let m be ((-1)\/2)\/(26\/8). Which is the smallest value? (a) 5 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*v = -94, 63*t + 4*v = 60*t - 39 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(648).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 105435 divided by 499\nAnswer: 105435\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61833370 or -61833371?\nAnswer: -61833370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -23, -24, -9, 28, 93, 192, 331?\n\"Answer: g**3 - g**2 - 15*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-135)\/(-6))\/(-45))\/(2 - (-3)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12429 divided by -112.\nAnswer: -12429\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*g = -124*g - 6290. Solve 374*s + 16 = g*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/468 and -1\/22.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110034513 (base 6) to base 11.\nAnswer: 1121a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from mtmmgtmt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 985311436 to the nearest integer?\nAnswer: 31390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 31. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6537*l + 6539*l = f + 91, -141 = 6*f - 3*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -190.\nAnswer: -190, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2. Let f(h) = -429*h**2 - 7*h - 84. Let g(u) = -143*u**2 - 2*u - 24. Let w(i) = -4*f(i) + 14*g(i). Calculate w(c(z)).\nAnswer: -4576*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -5, -230?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/(-4)*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3801 + -10?\nAnswer: -3811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.3 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u + 28. Let y = u + 31. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7999942, 7999943, 7999944?\n\"Answer: x + 7999941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*-1*(1 - 2). Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(11\/(-2)) - -1 - -329. What is the highest common factor of 246 and k?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from {e: 2, f: 4, d: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1599601 and 1.23098?\nAnswer: 1599599.76902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*f)**(-7\/4)*(f\/(f*(f*f**(-2\/3)*f)\/f))**(-4\/11) assuming f is positive.\nAnswer: f**(-629\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + (sqrt(117)*1*2 - sqrt(117))) - (2*sqrt(117)*2 - sqrt(117)))\/(sqrt(36)\/(-2*sqrt(4))*4).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from nmcmuuvjmmuvmmuumjnm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 479923066 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 433918, -30, -1 in decreasing order.\nAnswer: 433918, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 + 82*i - 42. What is the remainder when s(-18) is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 14. Calculate v(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4506288917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4283233?\nAnswer: 397, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}