diff --git "a/data/dm_maths/full_data_1/11187_11255.jsonl" "b/data/dm_maths/full_data_1/11187_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11187_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of 25*b**3*p**3 - 24*b**3*p**2 - 24*b**2*p**2 - 1191*b*p**3 - 3*b*p**2 + 2*b*p + 4*p wrt p?\nAnswer: 150*b**3 - 7146*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/59822838 and -43\/119645676.\nAnswer: 119645676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -171, -347, -519, -687, -851, -1011, -1167?\n\"Answer: 2*f**2 - 182*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*(-31332)\/3730*(-12)\/(-7)*2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100111?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 28598160.\nAnswer: 28598160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3 + (0 - -2)). Suppose 0 = 4*q - 4 - 8. Calculate the remainder when q is divided by (5 - 3) + (u - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 + -3?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.087*-13.0292\nAnswer: 1.1335404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-6)*48\/480. Let -1\/6*h**2 + y + 0*h = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*154934\/11210 + -23.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (26 + -9 + -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 321.4 and 10908.\nAnswer: 11229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9548909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 2*n + 1. Let t = -6 + 9. Let x = t + -3. What is the units digit of b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667109378 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75041*n + 1241 + 11189 = -74931*n for n.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(1426\/4784))\/(-20)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 5. Let t be d(5). Suppose t = 5*f - 38 + 3. Calculate the common denominator of f and 73\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 10*b + 11*b.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - d - 441 = 0, 301 = 4*r - 2*d - 47. Let g = -51 + r. Let y = g + -25. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4414*p - 2015*p + 475746 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13301, -13297, -13291, -13283?\nAnswer: -13273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1 + (0 - 2 + 3)*(1 - 4 + 2) - 1 + 4 - 2)*(-8988 + 17980 + 3123*y - 8991) as z*y + f and give z.\nAnswer: -6246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-289 + -1)) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21480 and 96960?\nAnswer: 17355840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g. Is g\/(-1) - (-2 - 519) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9241725 is divided by 822.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31892 - -2.\nAnswer: -31890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1416*h - 1303. What is the units digit of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-15) - 1576\/(-6). Suppose -5*c - z = 168. Let h = 86 + c. Sort h, -6, -2, 3 in decreasing order.\nAnswer: 3, h, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1490*d - 84854. Determine u(57).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20242689?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h**5 + 1402*h**4 - 6310*h**3 - 18320*h**2 - 12037*h - 1442 = 0.\nAnswer: -1, -2\/13, 7, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 9*i = 5*t - 16*i + 18, 180 = -32*t + 4*i for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(125) + (-6*(1*sqrt(125) + sqrt(125)) - sqrt(125)) - sqrt(125))**2 - sqrt(125))*-2 - (0 + (-1 + sqrt(125)*2 + -1 + sqrt(125) + 1)**2).\nAnswer: -20*sqrt(5) + 210124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20367 - 20368. Sort -2, -4, -3, w, -5 in decreasing order.\nAnswer: w, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 76870 = -5*p - 8792, -4*i = -p - 68066. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*r = -13 - 1, 0 = 4*c - 4*r - 20. Suppose x = 1 + c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 195*d**2 - 294*d - 565. Calculate p(-96).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909.\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94716407 to the power of 1\/2, to the nearest integer?\nAnswer: 9732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1862*b**2 + 6043*b**2 - 4193*b**2 + 11*b - 9*b + 8127*b**2 + 2*b**3 to the form i*b**2 + d*b + w*b**3 + r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + l + 1)*(2 - 5 + 1)*(-48 + 83 - 57) in the form r*l + j and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226.773 + -1.027. Let s = g - -228. What is the second biggest value in s, 0.08, 0.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118\/3? (a) -2\/11 (b) 1 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 404, 3, -4869, 1 in increasing order.\nAnswer: -4869, 1, 3, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ggqqtt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.1 + -13.4. Let z = b + -5.736. Round z to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(136)*-1 - sqrt(136))\/sqrt(8) - -5*(sqrt(1377) - (2*sqrt(1377))**2).\nAnswer: -27540 + 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - a - 3 = 0, -4*d = -2*a - 3*a - 15. Let g = d - -6. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2835? (a) 2\/3 (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5618\/45 + 1408\/45. Is s less than or equal to -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.582 - 41.797.\nAnswer: -41.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 123 = -115232*w + 115227*w + 30, 3*h - 8 = 2*w + 4 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 9\/418?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 15*r**2 + 14*r + 2. Let t be i(-14). Suppose t*s - 357 = -25. Let z = s - -8. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4827538325?\nAnswer: 5, 811, 238103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2987\/6 - -498. Let r(i) be the third derivative of -i**2 - f*i**4 + 0*i + i**3 + 0. Find the first derivative of r(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*d = -5153 + 1527. Solve 58 = 19*s - d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5529904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5554 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -11001023202?\nAnswer: 11001023211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107129, 214280, 321431, 428582, 535733?\nAnswer: 642884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105129?\nAnswer: 3, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 931\/(-494)*(-600)\/525?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 20647488*r - 185827149.\nAnswer: -3*(r - 6882487)*(r - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/21)\/c*c)\/(c*(c**(-15)\/c)\/c*c))\/((c*c\/((c*c**6)\/c))\/c*c*c**(-2\/23)) assuming c is positive.\nAnswer: c**(9265\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58873575*o + 58873575*o + 0*o**2 - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6235 (base 7) to base 12\nAnswer: -131a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0918 minus -22150?\nAnswer: 22154.0918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -25 - 8) + (-17 - -1 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q + 2. Let h(v) = 2*v**2 + 2*v + 3. Let b(i) = -3*h(i) + 5*u(i). Let n = 1 - 0. Let r = -2 - n. What is b(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 709\/7. What is the nearest to 0 in b, 1, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p. Let s(b) = 341256*b + 3. What is s(o(f))?\nAnswer: -3412560*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1192980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -222302 (base 6) to base 7\nAnswer: -105323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 18*q - 17*q + 33*q)*(-2*q - 6*q - 7*q).\nAnswer: 30*q**2 + 195*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -512, 2\/9, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b2155 (base 13) to base 7.\nAnswer: 125661453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 4, h: 2, p: 1, x: 6, o: 2}. Give prob of picking 1 i, 1 h, 1 x, and 1 m.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 8*u**2 + 8*u - 9. Let g = 167 + -234. Let r = 86 + g. Calculate the remainder when y(8) is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11134, 11147, 11168, 11197, 11234?\n\"Answer: 4*s**2 + s + 11129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21042, 41873, 62704, 83535, 104366?\nAnswer: 125197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 19*y - 28. Give t(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2205223 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*3*8\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.05, -8, -0.4, 5, 3, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 57 = -5*a + 122, 2*a + 10*a - 156 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/15 of a minute in seconds?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84612969 rounded to 2 decimal places?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -126\/19, 2\/235 in descending order.\nAnswer: 2\/235, 0, -1, -126\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -717, 3965, 14059, 29571, 50507, 76873, 108675, 145919?\n\"Answer: j**3 + 2700*j**2 - 3425*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8190682818 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d**5 + 30*d**4 - 33*d**3 - 30*d**2 + 24*d = 0. Calculate d.\nAnswer: -4, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 22*x**2 - 2*x + 7. Let y(a) = 11*a**2 - a + 4. Let v(c) = 3*r(c) - 5*y(c). List the prime factors of v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110211101 + -11010022?\nAnswer: -11121221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0433 and 0.1815038.\nAnswer: 0.00785911454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2321033 (base 4) to base 8\nAnswer: -27117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/5 - 99*x**2 + 9234*x\/5 - 23328\/5.\nAnswer: 3*(x - 144)*(x - 18)*(x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = f + 4*f, 3*f = 3*k. Let l(b) be the third derivative of 1\/120*b**5 + 1\/12*b**3 + 6*b**2 + 1\/24*b**4 + f*b + 0. Find v, given that l(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h + 2*h**3 + 11*h)*(-45*h - 70*h + 142*h).\nAnswer: 54*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b04a6c (base 13) to base 3.\nAnswer: 121210021010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 132*r - 255. Let f be n(2). Suppose 0 = -2*g + g - 155. Let y = g - -623\/4. Which is the closest to f? (a) y (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4, 5, -1, -3 in ascending order.\nAnswer: -36, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6. Let h be (1 + -8)*(-2)\/2. Let o(x) = 0*x**3 - x**3 + 1754116 - 1754123. Calculate h*d(a) - 6*o(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-911 - -924) + -13 + -4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 40 = 2*z, -3*d = 2*d + z - 106. Let h = 28 - d. Is h equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.1. Let f = -11\/7 + 76\/35. Let s = -3225 - -16122\/5. What is the smallest value in s, f, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3264 and -14.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (72 - 60 - (17 + -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 366 - 533 + 247)*(2*p**4 - p**2 + p**2).\nAnswer: -2*p**5 + 160*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327458310 to the power of 1\/2, to the nearest integer?\nAnswer: 36434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 5*v + 16. Let y be d(-8). Let p be 4\/(-8)*y\/1. What is the second derivative of -16*i - 10*i**4 + 24*i - 4*i**p wrt i?\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -10977\nAnswer: -10977.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 59 - 34 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16528, -65959, -148344, -263683, -411976, -593223?\n\"Answer: -16477*f**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u + 187. Suppose -m + 13 = 5*w, 2*w + 2 = 3*m - 3. Suppose -5*x + 2 = -3*h + 14, -w*h = x - 8. Is q(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17388 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 6*k**2 + 4. Let a be f(-5). Let u = 40 + a. What is u rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28671681 is divided by 444?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, -16622 in increasing order.\nAnswer: -16622, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -43?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -130321211012 (base 4) in base 10?\nAnswer: -7575878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -3 (b) -4\/7 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 5:02 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -395 (c) -21 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2904 (base 14) in base 13?\nAnswer: -33c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1, 5*k - 3 - 8 = -2*m. Suppose -m*j + 4*j - 43 = 0. Suppose -2*d - 3*g + j = 0, -5*g - 33 = -2*d - 14. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/536)\/((-2)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 44. Let f be q(-11). Let c be (-7)\/7 + (-53 - f). Let u = c - -1411. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/9 - 5179540*v**2 + 60362177876100*v = 0?\nAnswer: 0, 23307930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/30 and 13\/10470.\nAnswer: 10470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*c - 1 + 4 - 5*c - 2 + (2*c + c - 5*c)*(0 - 3 + 2) to the form m*c + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044944695?\nAnswer: 5, 17, 12293467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5) - (-22)\/(-55). Let m be (-876)\/(-40) + 9\/15 - -5. Sort z, 2\/21, m in descending order.\nAnswer: m, 2\/21, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.07 (c) 248.3648\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - sqrt(49)\/sqrt(7)*-3))**2 + sqrt(35)\/sqrt(5)*5 + sqrt(7).\nAnswer: 6*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*t**6 - 12*t**5 - 34*t**3 + 171869*t**2?\nAnswer: -1320*t**3 - 720*t**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 10:34 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41369 and 1189?\nAnswer: 1199701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*l - 11. Suppose -5 - 19 = -2*m - 2*w, w + 53 = l*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 890 and 7488200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*d + 12 = -0*d, 0 = 4*k + 5*d - 26. Suppose k*g - 9819 = 1489. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -572823*h**2*u**4 + h**2*u + h*u**5 - 211*h*u - 39*u - 2 wrt u?\nAnswer: -6873876*h**2*u**2 + 20*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-70)*(-1)\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 60 = 2*y + 160, y = 5*n - 362. Let j = -72 + n. Solve j*f = -f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615289925 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:55 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188023333 is divided by 6001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331261 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9809\/298 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -243 - 221 + 461 - 2*c. Let f(d) = 6*d + 10. Let j(q) = 5*q**2 - q - 2. Let t be j(2). Determine t*x(a) + 5*f(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12) + (-205)\/(-6). Let m = -499\/14 + d. Find the common denominator of 1\/(-3)*118\/4 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7140 + -3658. Let z = s + -1149. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24735)\/(-873))\/((-5)\/(-3))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1284 = -11*c + 8*c. Suppose 848 = 4*m - c. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 2\/14)*7. Find z, given that 5*z**2 + 5*z**3 - 8*z - f*z + 6*z = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-88)\/6)\/(10\/(-15)). Is 0 + (-12)\/(-4) + s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16738569 and 27.\nAnswer: 16738569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 4. Let q be v(-5). Let a = q - 5. Let d = 9 - a. Calculate the highest common divisor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-3 - (26 - 47))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1809\/20141?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22443 or 22054?\nAnswer: 22443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 57779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a + a**2 + a**3 - 2*a**3 - 6 + 5*a**2. Suppose -28 = -7*n + 3*n. What are the prime factors of l(n)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 - 8*k**4 + 10*k**4 - 2*k**2 + 2*k + 4 to the form c*k**2 + n*k**4 + s + f*k + o*k**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 40 - 26*z**3 - 36.\nAnswer: -26*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279941420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, 7*r - i - 30 = 2*r. Calculate the highest common divisor of r and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:29 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-3))\/((-2650)\/(-1590))*5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 2, j: 3, b: 1, w: 6}. What is prob of sequence bw?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -10. Let g be (-1 + 3\/3)\/d. Differentiate 0*t**2 + 2 + 3*t**3 + g*t**2 wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703241 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 11709*a + 11705*a - 2 = 0, -8 = -a - 3*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1008*h**2 + 49*h - 336. Let g(c) = -42*c**2 - 2*c + 14. Let q(y) = 49*g(y) + 2*p(y). Differentiate q(b) with respect to b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125 - -1336?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -253607\nAnswer: -1\/253607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/722093?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 377 = 35*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-30)\/j**(-3\/5) assuming j is positive.\nAnswer: j**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 56 - 54 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 0.06382\nAnswer: -0.82966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpwpewezweweze. What is prob of sequence wep?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.186 - -0.086. Let i be 0\/(1\/((-2)\/4)). What is the nearest to j in -0.5, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23\/7 - (-20)\/(-70). Let f = -9 + 13. Suppose -w*p + f*h - h = -66, -4*p - 2*h + 94 = 0. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upnu when four letters picked without replacement from {n: 1, v: 2, u: 3, q: 4, p: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2 + 6. Suppose 4*o - c*l = 0, -5*l + 4 = -4*o + 1. What is the remainder when 9 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9939323 millennia in decades?\nAnswer: 99.39323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l*l\/l**(-2)*l)\/l)*l)**42\/(l*l**(-1\/7)*l\/(l\/(l**(-3)\/l)))*((l**(-1\/4))**(23\/3))**(-47) assuming l is positive.\nAnswer: l**(-2753\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 6*k**2 + 11*k + 18*k**2 - 11*k - 3 + 8*k**2 as b + c*k + a*k**3 + p*k**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h - 161*h = -2007 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*p - p + 244 = 0, p = 2*d - 137. Calculate the remainder when 261 is divided by d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14349513 + 7530213. Round v to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 6\/11, -0.1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109216, -219130, -329044, -438958, -548872?\n\"Answer: -109914*f + 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -48a37?\nAnswer: -48a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa333 (base 15) in base 13?\nAnswer: 3669b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 + 100*j + 27. Let y be q(-14). Let t be (0 - 0) + 4\/(-34). Which is the closest to -1? (a) -1\/2 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2310 and 1760.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0 + 4 - 4 + 2 + (1 + 4 - 4)*(3 - 1 - 3) + 1 - 3 + 3 - 2 - 1 + 4 - 2 + 6 - 2)*(-42*p**2 + 51*p - 51*p).\nAnswer: -252*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 19*b + 111. Give s(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*v - 30 + 10 = 0, -3*x + 3*v = -72. Let a = x - 22. Let j be -4 + 16\/a + 0. Solve -5*p + 3*f = j, -2*f = -4*p + 6*p - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 109 + 366 = -2*g, 3*g - 1285 = 5*j. Let h = -130 - j. What are the prime factors of h?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54630 and 9.\nAnswer: 491670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/55, 0.2, 0 in decreasing order.\nAnswer: 0.2, 3\/55, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and -98.83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + (-4 + -2)\/3. Let a = i - 2. Suppose -m + 2 = -2*v, -4 = a*m - 6*m + 4*v. Solve 0 = 4*n + x - 2, 2*n + 4*x - 8 = -m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) - 11\/(-3). Let x(j) = 71*j - 2. Let m be x(1). Suppose 0 = -h*a - 9 + m. Calculate the lowest common multiple of 10 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1983, -3953, -5921, -7887, -9851, -11813?\nAnswer: -13773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1920 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -22, -12, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.11952113.\nAnswer: 0.023904226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 343.1 (b) 0.2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axxzxafxzxffaxf. Give prob of sequence xza.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + (sqrt(700) - (-3 + sqrt(700))) - sqrt(700))**2.\nAnswer: -40*sqrt(7) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1156409491 to 3 dps.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98995173*t**3 - 4246592*t**2 - 4*t + 1 wrt t?\nAnswer: -593971038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1, -2, 5 in descending order.\nAnswer: 31, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 3\/34)*48\/36. Put -2\/7, r, 5, -0.4 in ascending order.\nAnswer: -0.4, -2\/7, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f**2)**(-19) assuming f is positive.\nAnswer: f**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1eb96b8?\nAnswer: 1eb96b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8754b1 (base 13) in base 12?\nAnswer: 1095590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 7648944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70597?\nAnswer: 227, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52112863 is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, 0, 254, 0.2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v - 2. Let u be x(2). Let d = -24 + u. What is the units digit of (-716)\/(-30) - d\/90?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15198 divided by -3\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 893*y**2 - 87569*y + 75744. Give q(781).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 + 1 + 11\/2*r**3 + 1\/4*r**5 + 17\/4*r + 7*r**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258031034689 less than -0.8?\nAnswer: -258031034689.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(24\/5)\/u*u**(1\/5))**4 assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 344\/4004475 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 4*s + 5*p, -9 = -4*s - 5*p. Let c = -4 + s. Solve 4*j = 5*v + 25, 2*v + c*j + 0*j = 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2 + 5*d - 2*d - 84*d**3 - 3*d + 0*d - 16 wrt d.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119885\/18 + -6658. Let t(b) = 45*b - 10. Let d be t(-5). Calculate the common denominator of (-1 - d)*3\/(-60) and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110225 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 7*q**2 + 114*q**2 - 102*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3074 is divided by 381.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-20 + (26 - 14) - -31)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1)*2\/4. Suppose 0 = -3*f - 2*w - 2*w + 115, -4*f + w + 128 = t. Calculate the remainder when 129 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -276 + 297. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -72?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*g - 2*g + 33*g)*(3 - 3 - 6*g) to j*g + s*g**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -64\/3. What is the biggest value in 0.4, -1, -20, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*n + 135*n = -99*n - 9888 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8856487*h**2*k - 2*h*k + 351598678*k wrt h.\nAnswer: 17712974*h*k - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 25, 50, 85, 130?\n\"Answer: 5*g**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -25*v**2. Let c(x) = 38*x**2 - 4*x + 4*x - 40*x**2. Calculate p(c(l)).\nAnswer: -100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4338 is divided by 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 266047742 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/4 (b) -72 (c) 0.04 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.214, 0.4, 19, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -74346 divided by -1\nAnswer: 74346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9054 + -2969. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83074 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 - t**2\/2 - 2*t. Let p be c(6). Suppose n - 5*n + 79 = 5*a, 0 = 4*a - p*n - 96. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q - 24*q + 84*q - 14*q - 46 - 19*q + 37.\nAnswer: 5*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1554 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0.028, -1.\nAnswer: -1, 0.028, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 8. Let p = z + -6. Suppose -w - 39 = -p*w. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -19. Suppose -o - 18 = -t*o. Let w(f) = o*f**2 - f**2 + 52*f - 52*f. Let u(k) = 2*k. Determine w(u(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d + d)*(-2 + 1 + 3) - 1629*d + 516*d + 830*d.\nAnswer: -279*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 31, 22\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(2*b - 7*b - b)*(-74 + 99 + 153).\nAnswer: 1068*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 25. Let t(z) = 11*z - 7. Let p(c) = -16*c + 10. Determine l*t(h) + 5*p(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*t - t = -29, -3*o - 23 = -4*t. Is (34\/(-6))\/(3\/o) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v - 15. Let g(c) = c**2 - c + 1. Calculate 2*g(a) + l(a).\nAnswer: 2*a**2 - 7*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108835473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 133 = -5*x, -4*x + 2*v = v + 110. Does 21 divide x\/(-6)*(-84)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 231527*r**2 - 13390647243*r - 1220466927771.\nAnswer: -(r - 115809)**2*(r + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(1728)*2)\/((sqrt(9) - sqrt(81)*-2 - sqrt(9)) + sqrt(9) + 2*sqrt(36)\/sqrt(4) + sqrt(9) + sqrt(9))*6*-1.\nAnswer: 4 + 96*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o. Let x(y) = 39*y**2 - 27*y + 27. Let s(u) = 3*u**2 - 2*u + 2. Let f(c) = 27*s(c) - 2*x(c). Calculate f(n(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18041218.2000944 + 18041068.2. Let g = w + 150. Round g to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a + 1\/6*a**3 - 3\/8*a**4 + 3*a**2 + 0. Calculate o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cscvccvcvccsvccvv. What is prob of picking 3 c and 1 v?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 0 + sqrt(175)*1 + 0)**2.\nAnswer: -358 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15393956 to the nearest integer?\nAnswer: 3924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1363.352 rounded to the nearest ten?\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/4? (a) 0 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -5636*g**5\/5 - 2482*g + 3615. What is the first derivative of r(c) wrt c?\nAnswer: -22544*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -129, -0.4, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68165886 and 1598?\nAnswer: 68165886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1901884*b**5 + 2633*b**2 - 91*b wrt b.\nAnswer: -114113040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*d = 8, 0 = -r + d - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282284560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o**2 + 78*o**2 - 167*o**2 + 1.\nAnswer: -21*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6116947 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*r = 27*r - 77*r - 1144 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and 39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13331302031022 - -3?\nAnswer: -13331302031013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 101 = 92. Solve 9 = -3*l - 4*v, -l - 4*v = -o + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b - 6. What is c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*g - 2 = -2*a, 0 = 4*a - 3*g - 31. Solve 3*x = 4*m - 0*m - 4, -x - a = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.1764 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-4)\/r*r))\/(r**15*r))**(3\/8))**40 assuming r is positive.\nAnswer: r**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -473. List the prime factors of k.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 470 and 20774.\nAnswer: 103870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -184035, -184036, -184037, -184038, -184039, -184040?\n\"Answer: -y - 184034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2244212 + 1400?\nAnswer: -2242312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2\/(-18)*-23)\/2. Let d = -553 + 555. What is the second smallest value in 11, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**4 + 20*t**3 - 55*t**2 + 30*t = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29202 smaller than 29185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 31 - 28 - (5 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49048 is divided by 380?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.37 - 0.37. Let q = k + -14.935. Round q to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 + (-1760)\/(-144). Solve -5*j + 22 = -0*j + v, 4*v = -t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**3\/3 + 7*p**2\/2 - 5*p + 1. Let f(g) = 3*g**3 + g. Let j be f(1). Is t(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-65)\/(-7) - 28\/98. Suppose 10*w = c + 1. Let m(r) = 2*r - 7. Let v be m(5). Solve v - w = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/60 and (35\/(-49))\/(6\/21) - 17894\/(-7140).\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 896145179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 9) to base 7\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 - 20 = 0. Let s(r) = 52*r**2 + 11*r - 10 + 18 - 41*r**2. Let p(k) = 4*k**2 + 4*k + 3. What is f*p(h) - 3*s(h)?\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.111492 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p**2 + 15*p**2 - 12*p**2 + (-3*p**2 + 2*p**2 - p**2)*(-5 + 6 - 3).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 17 = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*g - 957*g = -5378 - 7406 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 2:29 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10219 = 2*u - s, 0 = 5*u + 5*s - 4102 - 21423. What is u rounded to the nearest one hundred?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-6)\/(-2)). Suppose -r - 3 = 3*i, -i = -2*i + 2*r + 6. Factor 1\/2*o**2 - j*o + i.\nAnswer: o*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145138357 rounded to six dps?\nAnswer: -0.001451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 82126616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*m + 25*m - 11*m - 10)*(-28 + 34 - 4 + 120)*(5 - 4 + 5) to t + u*m and give u.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 10*t**2 - 8*t - 27. Let x be m(11). Let z be 2 + ((-1)\/x)\/((-6)\/36). Solve -4*c = -8, 0*g = -3*g + z*c - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19*y = 0. Solve -10 = -f - 3*z, y = f - 4*f - z - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201411.383 rounded to the nearest 10?\nAnswer: 201410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/4 - 56031*k**4\/2 + 784391*k**3\/4 - 336151*k**2\/2 - 784395*k + 1120550 = 0.\nAnswer: -2, 2, 5, 112055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7891604?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 404 + -406. Let w = -41 - -35. Is (w\/18)\/((-3)\/(-7470)*h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/32 and 17\/(-34)*(-2972)\/(-2656) - (-8)\/14.\nAnswer: 18592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 6 = 11*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13439 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12362644 divided by 28?\nAnswer: 441523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*8\/((-64)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*u - 107. Let j be 4\/(-20) - u\/(-15). Suppose -5*y + 6 + 30 = a, 0 = -j*y + 2*a + 24. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134940 - 457220 = -34*p + 104284. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -f - 4*r, 2*f + 5*r = 7*f - 235. Let y(z) = -44*z**2 + f*z**2 - 17 + 7*z - 14. Let c be y(6). Calculate the highest common factor of c and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d + 3*s - 55 = 0, -4*d = -0*s - 2*s - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d + 8. Let n(f) = -1. Let j(w) = -b(w) - 5*n(w). Suppose 6 + 0 = 2*u. List the prime factors of j(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6 + 5 - 7 + 2 - d**2 + 10*d. Calculate q(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -477.69997058 - -477.7. Round z to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6*k + 2*k - 22 = 0, -k = v + 1. Let a = -22 + 24. Suppose a*p + 45 = 5*d, 3*p - 61 = -4*d - 2. Calculate the lowest common multiple of v and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/7 - 634*t**2\/7 - 23442*t\/7 + 11880\/7 = 0 for t.\nAnswer: -99, -60, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)*0\/(-5). Suppose 5 + n = 5*a + 5*f, -2*a + f + 14 = 0. Let g = a - 5. Solve 2*m + g*m - 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4444987722 from 4.\nAnswer: -4444987718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13.6 (b) 4 (c) -20 (d) 2205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*m - 204*m = 32 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 2, -0.4 in descending order.\nAnswer: 3, 2, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/13))**1\/(a**24*(a**(22\/7)\/a)\/a))**(-27\/4) assuming a is positive.\nAnswer: a**(61587\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-33 + -63) - 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12539 = 34*d - 11791 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1046*j - 130461. What is y(124)?\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 1}. What is prob of picking 3 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.302445 + -10.3. What is l rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -6\/319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 51*b + 414. Let z be h(10). Solve 12*j - 14*j = -3*g - 2, 3*g + 4 = z*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -10 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -75*c**3 + 2*c**2 + 4*c - 5. Suppose 4*k - 1 = -21. Let j be u(k). What is j rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.6 - 7. Let n = 1.8 - 2. Let a(f) = -f**3 + 4*f**2 + 4*f + 3. Let h be a(5). Put n, v, h in descending order.\nAnswer: n, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*k = -4*z - 77*k - 41, 2*z - 12 = -4*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b**2 + 0*b)*(3*b + b - 5*b) + 4*b**3 + b**3 - 10*b**3 + (0 + 1 - 5)*(b**2 - b**2 - b**3).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*y - 22 = 0, 2*y = -t - 4 - 6. What is the fourth biggest value in t, 1\/5, 0.05, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11077 + 11093. Solve -413*c + 417*c - s = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)*y)**(-44)*(y*((y*y**0\/y*y)\/y)\/y)\/(y\/y**(6\/5)*y)*((y\/((y*(y*((y\/y**(2\/27))\/y)\/y)\/y)\/y))\/(y*y**(-10)))**(-1\/4) assuming y is positive.\nAnswer: y**(-25687\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 8. Let k(w) = w - 12. Suppose -21*l + 6 = -36. Let i(a) = l*k(a) + 3*z(a). Let v(c) = 282*c**2. Determine v(i(b)).\nAnswer: 282*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 + 12?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2206 - -2205.9. What is the fourth smallest value in -2\/17, -3\/4, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1047396 = 1753*v - 1031619 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, 1 u, and 1 o when four letters picked without replacement from uoorqu?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 71.1792?\nAnswer: 1352.4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -47. What is the lowest common multiple of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/(-624)*(-16)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/9027 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -20405*l - 918229. Calculate m(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 2503 = -3*r - s, -4*s - 2354 = -3*r. What is the greatest common factor of 184 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 342 = 4*r - 82, 15 = -3*r. Let y be (-2)\/9 - (-1634)\/(-18). Let h = n + y. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11948 - 8239. Is b a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 127*k**2 + 6*k + 4. Let n(g) = -126*g**2 - 5*g - 3. Determine -5*n(s) - 4*t(s).\nAnswer: 122*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 19 - 212*t + 210*t as d*t + r and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*u + 5*u + 63*u**2 - 3 + u + 1 to the form h + g*u**2 + l*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 21 + -14 + -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 590 and 31506.\nAnswer: 157530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2791 = -5*i - 901. Let g be 2\/9 + (-5565)\/i. Let h = 12 + g. Which is the third biggest value? (a) -3 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760280023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x - 35. Let j(r) = 12099*r**2 - 6043*r**2 - 6051*r**2 - 5 + 5. Give i(j(l)).\nAnswer: -55*l**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - n + 0*n)*(0 + 2 + 1) + (-n + 0*n + 2*n)*(-1 - 3 + 3) as d*n + h and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 minus -0.021?\nAnswer: -50.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -38*y - 5. Let j be r(-2). Suppose -31*h + j = -84. Solve h*d - 5 = 0, -g + 5 = d + d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11\/5)\/(z*z**(1\/29)) assuming z is positive.\nAnswer: z**(-469\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 0*s + 0 - 4\/9*s**4 - 2\/9*s**3 + 4\/9*s**2 + 2\/9*s**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 164, 182, 202, 224, 248, 274?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/6 in 4\/5, -1\/30, 0, -22?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 295, 4 in increasing order.\nAnswer: -2, -1, 4, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13*g. Let j(o) = 402*o + 470*o + 93*o - 1519*o + 96*o. Determine i(j(q)).\nAnswer: -5954*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 7*k**2 - 421*k + 2492. Calculate g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 1.4, 1\/8, -2, 3\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 1. Let f(g) = -g. Let x(a) = -9*f(a) - 2*z(a). Let b be x(0). Solve 0 = -b*l - 1 - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6905 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 44693, -0.6, -0.7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24*-3*-20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-29)\/((f\/(((f\/f**(-11)*f)\/f)\/f)*f)\/f))**(9\/11) assuming f is positive.\nAnswer: f**(-171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -145982 divided by 495\nAnswer: -145982\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.88029.\nAnswer: -0.352116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8938 divided by 218\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 660?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/14*121 + (-40)\/(-140). Put 7, -5, 5, g in descending order.\nAnswer: 7, 5, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n**3 - 8*n**2 - n - 30. Let d(i) = 30*i**3 - 7*i**2 - i - 30. Let j(a) = 3*d(a) - 4*w(a). Find the second derivative of j(c) wrt c.\nAnswer: -156*c + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + (3 - (4 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002692 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 2, c: 2, q: 7, i: 2, j: 1}. What is prob of sequence gfc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i + 130. Give l(-14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 861742653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148046*c**3*t**3 + 9*c**3*t**2*x - 219*c**3*t*x - 291*c**2*t**3*x + 333*c**2*t**2 wrt t.\nAnswer: -888276*c**3 - 1746*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 25*r + 143 = 0. Solve -r*s = 204 - 178 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/25 + (-97)\/145. Let t be 0\/(-8) - 2*1\/2. Is t >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 93*p - 606. What is x(80)?\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 14*f - 21. Determine w(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 20, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, e: 9}. What is prob of sequence ueuu?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4 - 19 = 0. Suppose 0 = -4*q - y - 3. List the prime factors of (q - 33\/(-12))*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21800623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddggwhh. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 444, 0.14, -1\/6, 46.\nAnswer: -1\/6, 0.14, 0.4, 46, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 317\/5133 - 5\/59. Which is the second smallest value? (a) 0.3 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s + 100. Suppose 3*o + 23015 = -y, 3*o - 7*o = s. What is y rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/13 - -2\/143. Let x = -1\/7 + 0. Let r = 5.04 - 0.04. Which is the nearest to -0.1? (a) r (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iioiiirisrkrrkrrrio. What is prob of picking 1 k and 1 s?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r**(2\/3))**(-46)*(r\/(r\/r**(1\/10)))\/(r\/((r*r*r**(2\/9)*r)\/r))*((r\/(r*r**(-1)*r))\/r)**43 assuming r is positive.\nAnswer: r**(1769\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.726 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) -2\/7 (c) 0.3 (d) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 290*p + 32463. What is h(-100)?\nAnswer: 3463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132595.8 + 1.9?\nAnswer: 1132597.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:40 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -307. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4118562 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 3505*n + 93906.\nAnswer: (n + 27)*(n + 3478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, u: 4, k: 3, z: 3}. What is prob of sequence zzvv?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 13) to base 14.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - 5112*s + 5112*s.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*o + 13, -213*o = -3*n - 212*o + 18. What is the closest to 1\/48 in n, -0.2, 0.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*a + 287*a + 124*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + o. Let w(a) = 62*a**2 + a + 1. Let j be w(-1). Let b = j + -39. Suppose 5*i = -2*r - b, 0*i + 2*i = -10. Determine q(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 374.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1364 - -0.1?\nAnswer: -1363.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 11*d + 22. List the prime factors of j(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxq when three letters picked without replacement from xqqbbxgqygbqgxxyqx?\nAnswer: 25\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffnnfffffnff?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 12. Let t = n - -11. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + n**3 - n)*(-13*n - 25*n + 5*n)*(-1 + 1 - 2)*(-290 - 34 + 119) in the form l*n**4 + z*n**3 + p*n + k*n**2 + h and give l.\nAnswer: -13530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -18.6.\nAnswer: -1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 11 - 6 + 2*v**4 - 4*v to the form h*v + k*v**2 + y*v**3 + i*v**4 + g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 159?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7*3771962\nAnswer: -26403734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2. Let w(i) = 2*i**3 - 25*i**2 - 13. Determine 4*h(y) + w(y).\nAnswer: 2*y**3 - 25*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 12*k - 77 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123211 - -2233323?\nAnswer: 2110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-525)\/100)\/21 + 9\/4. Solve 3*d + c*x - 4 = 0, -5*d = -0*x + x - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 27. Suppose 5*k + t - 4 = -2, -5*t = -3*k - f. What is k rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 0.2. Let r = 1 - y. Let p = 0.5 + -0.4. Which is the closest to p? (a) r (b) -1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g + g**4 - 1 + (-g + 20*g - g)*(-57*g**3 + 109*g**3 - 56*g**3).\nAnswer: -71*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4936 - 980 = -26*p - 146*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5 = -23*d, 31*d - 1 = x + 26*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -8. Suppose -155 = -f*i + 605. Let d = -113 + i. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0 - w - w + 0. Let h(o) = -2*o. Let f(m) = -3*h(m) + 2*l(m). Let v(r) = -20*r. Determine v(f(t)).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.948 + -0.052. Let f = 0.12 - -0.01. Let y = f - -4.87. What is the third biggest value in y, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 885*2416\nAnswer: 2138160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001055035503 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 t when three letters picked without replacement from {w: 4, t: 2, v: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 35*c**2 + 281*c - 22. Calculate v(11).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-12)\/180)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -3*i + g, -i + 2*i - 3*g + 47 = 0. Let o = i + 308\/5. Let r = 3.5 - 3.3. Put r, -1\/2, o in increasing order.\nAnswer: -1\/2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 577926139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/20)\/((-63)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -0.26. Let j = i + -0.2. Let f = j + 0.0512. Round f to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 34*v + 1405. What is f(-51)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -2463\/23. Sort 0.3, -0.4, -1\/4, m.\nAnswer: -0.4, -1\/4, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b - 25. What is the remainder when 101 is divided by x(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from ddddddddddddddddhdd?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9*n + 2448. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, n: 9}. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away -146008319?\nAnswer: 146008320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159885?\nAnswer: 3, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1848341381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*k + 2667*k**2 - 441 - 5*k + k + 18*k wrt k?\nAnswer: 5334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**6\/3 + 14*n**5\/5 + 19*n**4\/2 + 50*n**3\/3 + 16*n**2 + 8*n + 2. Determine l, given that x(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5601a6 (base 13) to base 8.\nAnswer: -7571150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1010404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36\/11 + -7153\/2189. Which is the second biggest value? (a) -2\/9 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 26. Let m be r(13). Suppose -14 + 6 = -8*d. Let h(a) = 4*a**2 + a - 2. Let t be h(d). Solve s - 25 = -4*s - f, m = -s + t*f - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6962 = 329*o - 15105 - 12255 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 - 6*l + 19. Let w(y) = 5*y**2 - 3*y + 10. Let n(o) = -6*s(o) + 11*w(o). Let m be n(-3). Let h = m + 7. Solve 0 = -h*i + 3 - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329153971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, 1\/9, 3\/10, -17 in descending order.\nAnswer: 3\/10, 1\/9, 0, -2\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/10 + -1 - 1)\/((-53)\/1590). Solve 0 = -54*c + 48*c + q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21501774 divided by 56883.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 1. Let o(h) = -2*h**2 - 5 + 6 - 2*h + 1. Calculate 4*j(p) - o(p).\nAnswer: -2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -212 and -193 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 11. Let h(n) = -2*n - 4. Let s be h(-4). Let p = s + d. Solve p = 4*x + 3 - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epepppep. Give prob of picking 2 p and 1 e.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46838257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -10085.\nAnswer: -10086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.8 + -13.7. Let c = p - -4. Let i = 0.10000039 - c. What is i rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) -4 (c) -12 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -451 - 10?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = l. Let q = -1837\/7 - -263. Factor 2\/7*r**4 + q - 2*r + 18\/7*r**l - 10\/7*r**3.\nAnswer: 2*(r - 2)*(r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-485)\/4*8\/(-12). Let h = 81 - d. Suppose 4*m + m = 0. Which is the biggest value? (a) m (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + ((-217)\/28 - 4))\/(25 + (-808)\/32).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -29*z - 1561. Let o be b(-54). Let h = -1 - -6. Solve 0*p + o*r + 28 = -4*p, 0 = -h*p + 5*r + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-3*sqrt(5)*-4).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddduddd. What is prob of sequence dddu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 475574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - s)*(s + 1 - 1) - 139106 + 738*s**2 + 139106 + 14*s - s**2 - 14*s + (3*s + 3*s - 4*s)*(-s + 5*s - 2*s).\nAnswer: 739*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/10 (b) 6 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 + 1059386*c**3 + 841727200899*c**2 + 5050334602008*c + 7575487601328.\nAnswer: (c + 3)**2*(c + 1589076)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**7\/2520 - f**5\/30 - f**4\/6 - 2*f**2. Let x(j) be the second derivative of i(j). Differentiate x(a) with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 0 = -12*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 128, 258, 388, 518, 648?\n\"Answer: 130*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5769751\/2751 - 310\/917. Let s = d - -2067. Which is bigger: -31 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 4*k + 4*k + k - 4*k + (4 - 1 - 6)*(k - k + k) - 5 + k + 5)*(7*k**2 - 14 + 20 - k + 2*k).\nAnswer: 14*k**3 + 2*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -337 times 0.07137\nAnswer: -24.05169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 17, 21, 27, 35?\n\"Answer: v**2 - v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2675 and 1391.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooooooooeeo. What is prob of picking 2 e and 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 - 422*w**3 + 44*w**2 + 599*w + 13 wrt w?\nAnswer: -40*w**3 - 2532*w + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 28 + -34 + 15 - (3 + (-1 - -1)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-279)\/18)\/(39\/(-2))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -37. Let v be (3 - 2) + (-1 - f). Suppose -y + 63 = -v*n, 2*n = -2*y + 4*y - 120. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 28*k**2 - 89*k - 83. Determine j(31).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-10)*l\/(l**(-2\/5)\/l)*l)\/(l**(4\/3)\/(l*(l\/l**(6\/7))\/l)))**(1\/35) assuming l is positive.\nAnswer: l**(-713\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:52 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6942 (base 12) in base 13?\nAnswer: -5441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1389*k**3 + 2*k**2 + 6*k - 8. What are the prime factors of z(2)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1980)\/(-96))\/(-55) + (-3)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 7. Suppose 6 = -34*l + i*l. Let p(r) = r**3 + 5*r**2 - 6*r. Let y be p(l). Solve -g = -y*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*s**6 - 4*s**3 + 4*s**2 - 14*s wrt s?\nAnswer: 3480*s**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p + 6. Let a be m(0). What is the remainder when (-3)\/(-6)*a*7 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5 = -5*i, 26*i + 3 = -5*k + 29*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - 2*b**2 + b**2 + (4*b**2 - 5*b**2 - b**2)*(0 - 1 + 3) + (b**2 + 3*b**2 + 4*b - 5*b - 3)*(-4 + 3 + 6).\nAnswer: 15*b**2 - 5*b - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8016676 divided by 15299\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 51. Determine g(-32).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-116)\/(-36) - 3)*-24. Let x = 80 + -77. Let v be ((4 + x)\/7)\/(2\/(-10)). Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (352\/(-140) - -2) + 88\/110?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0 + 4. Let w(l) = 3*l - 3*l**2 + l + m + 2*l**2. Let d = -14730 + 14737. Determine w(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/10)\/((-2)\/(2 + 2)). Suppose 0 = -2*z + 1 - 3. Let q be 5*(z - 9\/(-5)). Solve 4*l + n*s = -4, 3*l = q*l - 2*s + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 14*p**2 - 9*p - 13. Calculate the lowest common multiple of m(6) and 122.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 i when four letters picked without replacement from {i: 2, w: 3, v: 9, a: 1, h: 3}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-1524)\/(-19304))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4590 is divided by 354?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3075)*-12*(-231)\/847*110\/(-12).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g + 3. Let v(z) = z**3 + 4*z**2 + 5*z + 7. Let t be v(-2). Let o(y) = 4*y - 4. Determine t*q(l) + 4*o(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 0.2. Let x = v - -0.9. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78342, 78306, 78270?\nAnswer: 78234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4646957 is divided by 686.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6\/7*h**2 - 2\/7*h**4 + 86\/7*h**3 - 262\/7*h + 172\/7 = 0?\nAnswer: -2, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211222022 - 0?\nAnswer: -11211222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q + 41. Let h be -6*((-15)\/(-18) - (-2)\/12). What is the units digit of o(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:54 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.461782 millennia to decades.\nAnswer: 46.1782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 + t + 1 - 2. Suppose 7325*p - 48 = 7317*p. Give q(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 4*u**2 + 7*u + 15. Let r be q(-6). Let p = -102 - r. Which is the second biggest value? (a) p (b) 0.1 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -1\/24*y**6 + 3 - 1\/3*y**3 - 1\/8*y**2 - 1\/5*y**5 + 0*y - 3\/8*y**4. Determine j, given that u(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m + 90. Let c be n(-5). Suppose -7*r + c = 94. Solve -3*p + 3*z = -p + r, -2*z + 1 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23337*v + 135587*v**2 + 23337*v.\nAnswer: 135587*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9489855 is divided by 61.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 9*n - 8. Let o be d(11). Suppose 18*g = o*g + 1192. What are the prime factors of g?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76666010 rounded to the nearest 1000000?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**4 - 24*q**2 + 515*q.\nAnswer: 36*q**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/2 (c) -1\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 4*j**2 + 24 in the form r*j**2 + b + c*j and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1298 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w - 2*w)*(-8 - 8 + 5) + (4 - 2 - 1)*(3*w + 0*w - w)*(-2 + 2 + 1).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/4 - 454*i**3\/3 - 303*i**2\/2 + 4532*i. Factor x(r).\nAnswer: (r - 303)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**6 + 0*n**2 + 1\/3*n**3 + 0 + 6*n + 0*n**4 + 0*n**5 + 2\/21*n**7. What is the second derivative of u(x) wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/171 (b) -0.2 (c) -7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*x**3 - 81 + 153\/4*x - 3\/2*x**2.\nAnswer: -3*(x - 4)*(x - 3)*(x + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207238 + 207238 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 424\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*(12\/6 + 5). Calculate the common denominator of (-206)\/(-84)*m\/(-240) and 105\/44.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -817916 and -3043082.\nAnswer: -3860998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33109095 is divided by 2346.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9640777 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 18, l: 1, w: 1}. Give prob of picking 2 x and 1 w.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 plus 619902?\nAnswer: 619908.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 7*x**2 - x + 10. Let h be s(7). Let c be 4\/(-6)*h - -2. Solve c = -y - 0*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1808 + 1821. Solve 5*c - 5 = -3*o, b - 12 = -c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839354.2 nanograms to milligrams.\nAnswer: 0.8393542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 3*w + 5. Let d be n(4). Let v = 0.312 - 0.012. What is the closest to 1\/5 in v, -1\/2, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*w + 9, -4*w - 6 = 5*s - 22. Let k be 96\/20 + 6\/120*s. Solve t = k*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -608398 (base 11) to base 14.\nAnswer: -1b62c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -755*(51\/15 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 6*d + 25. Calculate the smallest common multiple of p(0) and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75906, -303682, -683282, -1214706, -1897954?\n\"Answer: -75912*x**2 - 40*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from oojoojoooooo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-108)\/(-60))*(-6)\/273*-5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 3:40 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*t = 262 - 2098 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 80\/25363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9095 divided by 6\nAnswer: 9095\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2. Let l(d) be the third derivative of -d**7\/840 + 7*d**4\/24 + d**2. Let i(u) be the second derivative of l(u). Calculate i(p(h)).\nAnswer: -147*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7766 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 6:07 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 58. Let p = 285 + -568. Let d = p - -334. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/(-22) + 4\/22. Find the third derivative of -5*s**4 - s**2 - s**4 + 3*s**c wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00221683 rounded to 5 dps?\nAnswer: 0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and 6?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in -32, 253, -1, 2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49 and 0.08336?\nAnswer: -4.08464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 714\/(-255)*(-20)\/12. Suppose 26\/3*y + 8\/3 + d*y**3 + 10*y**2 + 2\/3*y**4 = 0. What is y?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 + 0.71. Let v = y + 0.1. Let l(r) = r**2 + 7*r - 8. Let n be l(-8). Which is the nearest to n? (a) -0.5 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 13*k**6\/6 + 13*k**3\/3 - 1. Find the third derivative of h(z) wrt z.\nAnswer: 780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, 9 in increasing order.\nAnswer: 0, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024569628 to six dps.\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -d2?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 5*w + 1. Let s be x(-4). Suppose 4*u - 2*t = 4, -u - 4*u + s*t = 0. Suppose 94 = 3*y + u*p, -5*y + 3*p = -2*y - 69. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -3 - 7*s + 0*s**2 - 2\/3*s**3. Find the first derivative of g(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 394, 409, 5, 4 in ascending order.\nAnswer: 4, 5, 13, 394, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 314338*o*t**2 - o*t + 9432*o + t**2 - 5*t + 138 with respect to t.\nAnswer: 628676*o*t - o + 2*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630441.\nAnswer: 1630441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(612) + 0 + 3).\nAnswer: 18 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2 + c + 4 + 0. Let q(b) = -3. Let p(w) = -1. Let r(a) = -4*p(a) + q(a). Suppose -16 = -8*v + 4*v. Calculate v*r(g) - k(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 20*i - 168483 = 164037. List the prime factors of i.\nAnswer: 3, 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 12. Determine i(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/4 - 49*b**3\/6 + 78*b. What is the second derivative of r(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*p - 3*p - 161 = 0, -9*p = -q + 48. Solve -4 = q*y + 35 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104968 is divided by 68?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oboobooobooooooboob. What is prob of picking 2 o?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 104\/5 (b) 1\/9 (c) -1\/11 (d) 8\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*b + 44*b = 2442 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 5*j - 4. Let i be m(6). Let s be i\/(-20) - (-11)\/(-2). Let n(y) = -y**3 - 6*y**2 - 5*y - 3. Determine n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from izttwjil?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110704087 to three decimal places.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*d = 723*d + 9 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15662 is divided by 1747.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2736) - (sqrt(2736) - (-1*sqrt(2736) - sqrt(2736)) - sqrt(2736)))**2 + 5 + (-1*(sqrt(2736) + 0))**2.\nAnswer: 5474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-7)*6\/27*1\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 12 = 2*p + 29, -2*q = 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 7. Let k = u + 126. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.13655mm to centimeters.\nAnswer: 0.313655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 49. Let a = q - -66. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261182578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457009478.\nAnswer: 2, 228504739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -286*a**2\/9 - 314*a\/3 - 28.\nAnswer: -2*(a + 3)*(143*a + 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308 - 49. Let t = -97 + j. Let i = t + -162.00000207. Round i to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 5*n - 4. Let r be d(-7). Let u(g) = -g**3 + 9*g**2 + 13*g - 12. What is the lowest common multiple of 6 and u(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.939 + -2.\nAnswer: -27.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 3, 13, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vky when three letters picked without replacement from {y: 7, v: 4, k: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 36 = -5*a, -l = -4*a - 32 + 1. Let t(w) = 4*w + 8. Let c be t(-1). Suppose 723 = -c*i + 695. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8239 (base 14) to base 15.\nAnswer: -6980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03828*-248\nAnswer: -9.49344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 225*d**2 + 4 - 4 + 3.\nAnswer: 225*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + w - 12 = 3*w, -4*w - 6 = f. What is the third derivative of 2*u**2 + 8*u**2 + f*u**2 + 10*u**4 - 3*u**2 wrt u?\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 9. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2392*o - 26*o**2 - 4781*o + 2389*o + 22*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*q - 3, 5*q - a - 46 = -13. Suppose -q*w = -4*w - 12. Is w <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 + 174*b**3 - 2*b**2 - 174*b = 0. What is b?\nAnswer: -87, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5031 + -40331\/8. Find the common denominator of p and 43\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 - d**2 - 4*d**2 + (0*d + d - 3*d)*(5*d - 4*d - 3*d) to the form v*d + m + s*d**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -371, 2, -3 in ascending order.\nAnswer: -371, -3, -0.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -4*y + 2*k, 3*y + 0*k = -4*k + 145. Suppose 0 = u - 2*u + 2*v + 10, 0 = -4*u - 3*v + y. Solve -u - 3 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:32 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*z - 478, 0 = 3*z - 3*t + 177 + 174. Let h = 221 + z. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) -5 (c) 0.3 (d) 2\/607 (e) -0.06 (f) -3.6 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1201 - -5?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - g**3 + g**3)*(-1 - 4 + 3) + 3*g**3 + g**3 + 0*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108 + 3*(-1)\/1. Calculate the highest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*k - 2 = -320*k - 2. What is the fifth biggest value in 4, 0.4, 5, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 488211\/12772 + -3840\/103. Let b = -6\/31 + o. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, n: 3, q: 2, y: 2, p: 2}. What is prob of sequence pqq?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Let y be (1*u)\/(1\/1). Suppose -y = -3*t + 2*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 times -0.04\nAnswer: 4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Let h = p + -1. Suppose -10 = -h*d, -d = -l + 1 - 3. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/5))**(-9)*(p*p\/(p**8\/p*p))\/(p\/(((p\/(p**11*p))\/p)\/p)) assuming p is positive.\nAnswer: p**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/12 - o**3\/3 - 144*o. Let f(x) = 28*x**2 + 6*x - 45. Let i(a) = -f(a) - 2*m(a). Differentiate i(z) wrt z.\nAnswer: -60*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -180 and -3375?\nAnswer: 607500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -152aa - 0?\nAnswer: -152aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(70) + sqrt(70) + 1*sqrt(70)))\/(sqrt(7) + (sqrt(7) + sqrt(28)\/sqrt(4))*4))\/(3*6*sqrt(80)\/sqrt(4)).\nAnswer: sqrt(2)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5)*(47*z + 12*z + 40*z).\nAnswer: 198*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - -5 - -32 - -49.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 8*j**2 + 6*j - 51. Let f be a(8). Is (-1 - -432) + f\/((-24)\/32) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - -7 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 100. Suppose 0*l + 3*f = -5*l + m, 0 = 4*l - 3*f - 14. What is the closest to -2 in -5, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 20 = 0. Suppose -u + 24 = -o*u. Let f = u + 11. Solve f*z - 4*z + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (175*l - 15*l + 164*l)*(-3*l**3 + 5*l**3 - 4*l**3) as o*l**4 + k*l**3 + m*l + y + f*l**2 and give o.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21614104 is divided by 13611?\nAnswer: 13447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.397 + -3.697. What is the closest to -9 in -0.009, j, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*l + 5*y, -9*l - 3 = -6*l - 3*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/162353520 and -117\/28.\nAnswer: 162353520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -44. Let z(b) = -b + 12. Let l(h) = 1. Give d*l(g) + z(g).\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 1113540*u**2 - 61997453025*u + 123999360250.\nAnswer: -5*(u - 2)*(u + 111355)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449 + 455 - (21 + 3 + (1 - 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 57 + 9)*(2*k - 4*k + 0*k) to d*k + i and give d.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -6677472\nAnswer: 1\/1669368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*d**2 + 3908\/5 + 3904\/5*d = 0. Calculate d.\nAnswer: -1, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054884818?\nAnswer: 2, 2027442409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1 + sqrt(1216)) + 0 - (-4 + (sqrt(1216)*-1*-4 - sqrt(1216)))) + 4)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:04 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15514262 is divided by 144?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 23 + -16 + 2 + -13 + -19.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -54, 4591.\nAnswer: -54, -1, 5, 4591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -324 + 323. Let f be 2\/(3*1 + -1). Sort f, 0, s in increasing order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:51 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1568?\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01427991 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 378954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -19, -4, 45, 140?\n\"Answer: 2*z**3 - z**2 - 18*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - 31*i**2 + 22*i + 28. Let h(f) = 17*f**3 + 93*f**2 - 65*f - 86. Let z(m) = -4*h(m) - 11*s(m). Let v be z(-16). Which is smaller: 7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1335*n**3 + 107038 - 53520 - 53517 + 7*n**2 - 3*n + 3*n + n**4 to j*n**2 + u*n + q*n**4 + c + a*n**3 and give a.\nAnswer: 1335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -853, -2667, -5251, -8605?\nAnswer: -12729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.9 + 74. Let b = g + -5.7. What is the second smallest value in -0.3, b, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 12*q - 11*q. Let w be 72\/(-255) + q\/(-17). What is the nearest to w in 0.1, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(2736) + 4 + (sqrt(2736) - (sqrt(2736) + 0))))**2 + (sqrt(2736)*3*-6 - 4*2*sqrt(2736))**2.\nAnswer: 3456*sqrt(19) + 1948604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -24059 and -168416\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 27*x - 3 - 20*x - 20*x. Let s(p) be the first derivative of -105*p**2\/2 - 25*p - 147. Give -25*a(y) + 3*s(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r - 2. Let b be 2 + 3\/3 + 2. Suppose -b*k - 23 = 2. Let f(x) = 2*x**2 - 13*x + 3. Let h(d) = k*n(d) - 2*f(d). Calculate h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517413.\nAnswer: 3, 13, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:04 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - -1) + (-179 - -168).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 7:31 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2 + (-899)\/(-145)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4782509 rounded to 1 decimal place?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132321, -3, -219 in ascending order.\nAnswer: -219, -3, 132321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/9 + 790984*r\/9 - 78206961032\/9 = 0. Calculate r.\nAnswer: 197746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 143. What is the second derivative of -q*t - t**4 + 33*t + t**4 - 11*t**5 wrt t?\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuxt when four letters picked without replacement from {x: 2, t: 4, u: 8, e: 3}?\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214590 = -126*d + 298734. What is the highest common divisor of 84 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - g + 2*g + 392*g**2 + 385*g**2 - 785*g**2.\nAnswer: -8*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/d**(-2\/23))*d*d\/(d*(d**31\/d*d)\/d)*d\/((d*d**(-9\/5)*d)\/d)*d*d**(9\/8)\/d assuming d is positive.\nAnswer: d**(-24989\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfcj when four letters picked without replacement from {y: 2, c: 3, z: 3, e: 2, j: 2, f: 4}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 1, 98.39, 20?\nAnswer: 98.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221248 or 221262?\nAnswer: 221248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 6*v - 255. What is the remainder when v is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72750746 or -72750751?\nAnswer: -72750751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(300) + 1) + -4 + 3*(2*(sqrt(300) + -1) - sqrt(300))**2.\nAnswer: -130*sqrt(3) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Suppose 0*c + 3*w = 2*c + 34, -5*c - 5*w - 35 = 0. Let h be s(c). Differentiate 3 - b - b - 2 + h*b wrt b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 7436430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2356 - d + 4746 - 2319)*(-2 + 4 - 1)*(-4 + 0 + 2)*(2 - 4 + 0).\nAnswer: -4*d + 284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*16\/(-96)*-6 - (35\/15)\/(-1).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (216\/45)\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 46. Let l be s(-12). Let y be (-34)\/(-85) + 38\/5. Solve -2*h - l*h + y = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -402, -755, -1098, -1425, -1730?\n\"Answer: y**3 - y**2 - 357*y - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 667*g**2. Let f(z) = -2*z - 204. Determine f(o(k)).\nAnswer: -1334*k**2 - 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1144\/44044)\/(-4 + 3).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1177 + 541 = 0. Let l = 359 - n. Solve -5*t = 4*f - l, -1 - 2 = -3*t + 3*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1410\/14021 - -10816411\/336504. Let x = b + -226\/7. Calculate the common denominator of x and -99\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-f + f + f) - 2*f - 2*f + 7*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138333170.\nAnswer: 2, 5, 59, 234463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*2\/(-195)*(-26 - (-282)\/12).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/80 and 11\/8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, 4 in descending order.\nAnswer: 5, 4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2 + 253*j - 1842. Determine v(33).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71325253 rounded to the nearest 10000?\nAnswer: -71330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2+534594\nAnswer: 534592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 27*j**2 - 21*j - 44. What is the tens digit of z(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + (-7)\/105*-81. Suppose 0*h + 2*h + 4 = -b*q, 5*q = h - 28. Solve -5 = h*r - 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 45*k**3 + 70 - 31 - 4*k**3 - 37.\nAnswer: 41*k**3 - 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vkvkktvkkvvtvvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7. Let f = 2 + u. Suppose -5 + 15 = f*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -35, -86, -165, -278?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 12 = 16*v. Solve m + 8 = 4*f, 2 + 4 = -4*m + v*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 0.3\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1218*g + 1229*g - 88. Suppose 0 = g*x - 756 + 716. Calculate the least common multiple of x and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.0622 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -17, 78.6, -23?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 1\/8 (c) 0.1 (d) -8\/51 (e) 9 (f) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55963 and 41899.\nAnswer: 8002709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -72795 (base 14) in base 16?\nAnswer: -435bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150 - -2976126?\nAnswer: 2976276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4411 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - w**2 - 55212*w**3 + 55214*w**3 + 2*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v*w**2 + 5*v*w*z - v*z**2 - 209*w**2*z**2 - 3*w**2 + 2*w*z wrt z?\nAnswer: -2*v - 418*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty sevenths of a week in days?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 2847321?\nAnswer: 2847317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8422\/35 - 1690\/7. Let t = 6 + -4. Let d = -1.9 + t. Which is the nearest to d? (a) 0 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 0*b + 7 = 2*b + 3 - 4, 12*j - 13*b + 41 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -63 times 0.256\nAnswer: -16.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7)*n*(n*n**(2\/7))\/n)\/(n\/((n\/n**(-7))\/n)*(n\/(n\/n**3))\/n) assuming n is positive.\nAnswer: n**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 5. Let m(z) = -17*z + 37. Let b(g) = 3*m(g) - 24*o(g). What is b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2317795 and -5.\nAnswer: -11588975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)*d*d*d*d**(2\/41)*d*d\/(d\/d**(-4\/5))*d*d*d**(-16)*d)**46 assuming d is positive.\nAnswer: d**(-214544\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*-2*sqrt(252)*3 + 5.\nAnswer: -72*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f = a + 23*f + 43, -7*f = 5*a - 5*f - 61 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39039 = -105*u + 3381. Solve u - 422 = 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 58952, 58930, 58922, 58934, 58972, 59042, 59150, 59302?\n\"Answer: u**3 + u**2 - 32*u + 58982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 29, -3, 0 in descending order.\nAnswer: 29, 9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 820, 1633, 2446, 3259, 4072?\nAnswer: 4885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k**4\/9 - 112952*k**3\/3 - 1152314*k**2\/9 + 994064*k\/3 + 1355560\/9 = 0.\nAnswer: -5, -2\/5, 2, 33889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h**(-6))**(-2\/5)*(h**(-5\/2)\/h**(3\/2))\/((((h**(-5)\/h)\/h)\/h)\/(h**(-6)*h)) assuming h is positive.\nAnswer: h**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 509 + -508.999422. Round q to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300*v - 1268*v + 812 = -9*l - 5*l, 116 = -2*l + 5*v for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16)*4)\/((5\/(-1))\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1700 and 81\/2720.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -265 (base 14) to base 3\nAnswer: -122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 102*u = 101*u + 210 - 80, 0 = 3*j - 3*u + 66 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/141)\/(2\/(-87)) - (-26 + 18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**6 - 15605*m**4 + 4496211*m**2 wrt m?\nAnswer: 720*m**3 - 374520*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o. Let a(m) = -3*m + 1. Let l be a(1). Let q(c) = -3*c. What is l*v(w) + 5*q(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41\/644 - -101\/322. Factor r*d + 0*d**2 + 0 - 1\/4*d**3.\nAnswer: -d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8672)\/6)\/(-2) + 4\/12.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 11:26 AM?\nAnswer: 711","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -30 - (45 + -19) - (3 - (-8 + 7))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 19*q + 1. Let f be v(20). Suppose -8*a - f - 51 = 0. Let z(k) = -74*k - 7. Is z(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 2, x: 2, h: 1}. Give prob of picking 1 h and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 40 = -0*m. Solve 4*u = 2*u - m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 49*a**3 + 140*a**2 - 92*a.\nAnswer: a*(a - 46)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000180776 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -291*f**7\/7 - f**6 + 2245*f**3\/3 + 1218. What is the third derivative of s(r) wrt r?\nAnswer: -34920*r**3 - 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1080\/(-4185)*((-5)\/(-4))\/5.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**3\/33 - 10*d**2\/11 + 100*d\/11 - 2. Suppose h(t) = 0. What is t?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/6 (c) 205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, e: 1, y: 3, l: 2, o: 3, w: 6}. What is prob of sequence ylyx?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.15 and 1.\nAnswer: -13.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -15. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(-229*z - 899*z - 491*z - 632*z - 344*z) to the form d*z + y and give d.\nAnswer: 2595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83354, -95245, -115056, -142781, -178414?\nAnswer: -221949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 4*o - 3*o + (2 - 2 - o)*(-81 + 98 + 95))*(-4*o**3 + 6*o**3 + 3*o**3).\nAnswer: -570*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let h be (54\/12)\/((18\/4)\/3). Suppose 4*b = 2*r + 11 - i, -4*b - h*r = -28. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2762.6? (a) 3 (b) -3 (c) -0.4 (d) 123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 0.24. What is the third biggest value in -0.3, -0.06, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 253181?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4976849 * -0.4.\nAnswer: -1990739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612 - 259 = -67*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 take away 954.968977?\nAnswer: -804.968977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-9) - 10\/(-45). Suppose -5*y = -0*y + x*l - 11, l + 1 = 0. Find the third derivative of -j**3 - j**2 + y*j**3 - 4*j**2 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x - 100. Let g = -39 + 11. Let y = g - x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) 3 (c) -8\/9 (d) 10 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23835 is divided by 23819?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/54)\/(-7)*2. Let s = 0.71 - 0.31. What is the smallest value in s, o, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386228 * 3\nAnswer: 1158684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -541034 not equal to -540988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 73 - 28 - 8*x**3 + x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*h*l**4 - 32*h - 3*l**4 + 1 with respect to l.\nAnswer: 44*h*l**3 - 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -670207, 1, -4 in decreasing order.\nAnswer: 1, -4, -670207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 67, 72, 79, 88, 99, 112?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l*m**2 + 132*l*m*u + 4*l*m - 8*l*u + 75045*m**2 + m*u - 2*u wrt l?\nAnswer: 2*m**2 + 132*m*u + 4*m - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-21389.\nAnswer: -491947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 3*-3 - 2. Let n(x) = -2*x + 5*x**2 + 335*x**3 - 666*x**3 + 0 + 330*x**3 + 12. Let s be n(l). Solve 8 = -4*a, s*a = -4*j + 2*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-35820)\/(-40) - 14)\/(2\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 + 0)*(-1134)\/(-504)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -24. Suppose n + 26 = -3*o. Let s = 16 + o. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p**2 + 17*p - 39. Let s(x) = 5*x**2 - 6*x + 13. Suppose 2*k - k - 73 = -4*c, -3*c - 5*k = -76. Let i(t) = c*s(t) + 6*d(t). What is i(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {h: 5, a: 2, y: 7, t: 1, n: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2 - 664*n + 552*n - 699*n - 62*n - 499*n = 0.\nAnswer: -343, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-73 + 71)\/(2\/(-6)). Sort 14, 23, c in decreasing order.\nAnswer: 23, 14, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) - 19\/2. Let s = u - -14. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3*t + 3*t)*(7*t + 12*t - 10*t)*(t**2 + 0*t**2 + t**2) to the form o*t**2 + w*t**4 + d*t + p + h*t**3 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 66*u + 349. Let x be g(61). What is the highest common divisor of x and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 8:59 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:34 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s. Let m(i) = i - 2*i + 0*i. Give m(u(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -151, -342, -609, -952?\n\"Answer: -38*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -1\/144*w**6 - 32*w**2 + 5\/12*w**4 + 0*w + 0*w**3 + 0*w**5 + 0. Let q(y) be the second derivative of s(y). Determine q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 17 = -3*o + 8*o, -13 = 2*q + 5*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -23*c - 96. Let v(z) = -z**3 - 4*z**2 + 21*z + 48. Let w be v(-6). Calculate the lowest common multiple of 48 and l(w).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from ggeess?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(36)\/sqrt(3) + sqrt(12)) + sqrt(12)\/sqrt(4) + -5 + 2 + 4 + (1 + sqrt(300) - sqrt(300)))**2.\nAnswer: 6*sqrt(3) + 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -695 divided by 7\nAnswer: -695\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 9, 3, 6\/7, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40.73 or -15\/221?\nAnswer: -40.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*c - 65*c = 6. Let z be c\/(7\/(-2) - -4). What is the lowest common multiple of (15\/(-6))\/(z\/(-32)) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enr when three letters picked without replacement from {v: 1, e: 2, n: 3, r: 1, l: 4, z: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 300938728 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -9 + 16 - 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**9\/84 - 17*a**6\/30 + 923*a**5\/60 - 665*a**2 - a. Find the third derivative of j(t) wrt t.\nAnswer: -720*t**3 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 4 - 18. Let w be (2*9\/12)\/(1 + p). What is the second smallest value in -1\/6, 0.05, w, -1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pstp when four letters picked without replacement from nlystpp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(((-34)\/(-24))\/17). Let f(p) = -15*p + 51. What is the units digit of f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (-338)\/(-39))*72\/(-14). Which is the closest to f? (a) -4 (b) -2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -171? (a) -2\/25 (b) 1 (c) 2675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 4*m + 19\/7*m**2 + 101 + 8\/21*m**3 - 1\/14*m**4. Factor g(n).\nAnswer: -2*(n - 7)*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -479*r**4 + 6*r**3 + 2*r**2 - 2*r + 734. Let y(o) = -3*o**3 - o**2 + o + 2. Let m(l) = -v(l) - 2*y(l). Differentiate m(w) with respect to w.\nAnswer: 1916*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954842 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 6*u**2 + 6*u + 7. Let g be f(-5). Let x(s) = 3*s**2 - s + 1. Let m be x(g). Solve -3*n + 2 = m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57901603285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 1710*g**3 + 105840*g**2 + 2401920*g + 18662400.\nAnswer: 5*(g + 24)**3*(g + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:36 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 72*v**2 + 87*v - 91. Is j(72) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 15547246?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(15\/(-6))\/(-5))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1029155+0.075\nAnswer: 1029155.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9687 = 2*q + 941. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/123676 and 95\/842996?\nAnswer: 531930476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*k\/k**(-8)*k**(5\/6)*(k\/((k\/k**(3\/2))\/k))\/k assuming k is positive.\nAnswer: k**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:25 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + j + 2 + 3.\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/31 - 89\/496. Calculate the common denominator of h and (-10)\/8 + 1 - (-14157)\/(-4004).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 295764 and 132.\nAnswer: 3253404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.3461 (c) 3\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 - 12*f**2 + 12*f - 4 = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1741 + (-1*9)\/(-3). Suppose c = -2*u + y - 781, 5*u + y + 6295 = 0. Let x = 6356\/5 + u. Find the common denominator of -25\/3 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/12)\/(b\/b**(-1)*b))\/(b**(2\/5))**(-3\/2))**31 assuming b is positive.\nAnswer: b**(-4309\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 1080, 1756, 2522, 3378?\nAnswer: 4324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5012 divided by -1253\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.92 in 5, 2, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5342*a**3 - 6031*a**2 wrt a?\nAnswer: -32052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 163 - 163 + 184*o as h*o + n and give h.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 32*a**2 - 3*a - 76. What is j(31)?\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1539 - 1503. Calculate the remainder when 321 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 47, 2 in decreasing order.\nAnswer: 47, 9, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/z)**(-14\/3)\/(z**(1\/4))**(-12) assuming z is positive.\nAnswer: z**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(17\/2)*a)\/(a\/(a*a\/(((a**18*a)\/a)\/a)*a*a*a)) assuming a is positive.\nAnswer: a**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*t = -133*t + 6597. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 14.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 + 130. Let u be (f*(-3)\/(-9))\/(1\/(-837)). What is the greatest common factor of u and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u - 16*u - 102*u + 30*u - 31*u.\nAnswer: -150*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 + g + 6. Let p(k) = k + 1. Let l(n) = -j(n) + 6*p(n). What is the second derivative of l(m) wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*10\/6*8\/(-10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2914, -4896, -6880, -8866?\n\"Answer: -s**2 - 1979*s - 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(117)*-4)**2 + ((sqrt(104) + sqrt(104)*2)*-1)\/(sqrt(8) + sqrt(32) + sqrt(512) + sqrt(32)).\nAnswer: -3*sqrt(13)\/13 + 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/6 + 85*f**2\/3 + 10781*f\/6 - 1825 = 0?\nAnswer: -50, 1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-10) - 391284\/(-360) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.061 - 0.261. Sort i, 1, 0.2, 3 in decreasing order.\nAnswer: 3, 1, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from nuzyfun?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -1\/2, -3036 in ascending order.\nAnswer: -3036, -1\/2, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7263806677?\nAnswer: 7263806677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26484995 * 7.\nAnswer: -185394965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + n**4 - n**4 + (n + 0*n - 3*n)*(0*n + 2*n - 3*n)*(-4*n**2 + n**2 + 6*n**2).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 48*h**2 + 8*h + 54*h**2 - 8 - 2*h**3. Determine z(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 5024*b**3 - 10040*b**2 = 0.\nAnswer: -2510, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -u + 2, -1 - 3 = -2*j. Let p(l) = u*l**2 + 0*l**2 + l**2 - 10*l**2. Let x(s) = -s. Calculate x(p(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008399 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.501282 rounded to one decimal place?\nAnswer: 92.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005054 (base 6) in base 4?\nAnswer: 113003122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -23*f - 129. Let q be z(-6). Solve -2*v + 6*v - 4*c = 24, c + q = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 10. Let y be c(10). Suppose 3*n - 2*n - 2 = y. Suppose h + 2*x = -2*x + 4, 0 = n*x + 6. What is the lowest common multiple of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -1\/30*w**6 + 0*w**2 + 1\/12*w**4 + 4*w + 0*w**5 + 0*w**3 + 0. Solve l(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1498 + 1501. What is the closest to 0.1 in q, -0.2, 80, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f + 6 = 5*x - 60*f, 4 = 3*x + 2*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*k + 4*g, 4*k + 0*g = 5*g + 43. Let q be 6\/21 + (-37)\/k. Let l = 0.0988 - 0.0988. Sort l, 2, q in decreasing order.\nAnswer: 2, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2540*c**5*n - 2*c**2*n + 2*c*n + 2*c - 56*n + 2 wrt c?\nAnswer: 50800*c**3*n - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2506)\/36)\/(-7) + (-4)\/(216\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65465 - -32758.\nAnswer: -32707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2490 divided by -3\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8821552 + -778?\nAnswer: -8822330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286\/78 + (-3)\/1 - (-1043328)\/36.\nAnswer: 2, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3\/4 (c) 2\/7 (d) -2\/3 (e) 1\/5 (f) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0 + 4*w + 0*w**5 - 1\/2*w**3 + 1\/6*w**6 + 0*w**2 + 0*w**4. What is the second derivative of i(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u + 1. Let a be 1*(-1 - -16)\/(-3). What is the remainder when w(2) is divided by 3\/(3 - (-12)\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h - 12. Let l = 2.4 + -2. Let f = 0.04 - 0.04. Sort l, h, f.\nAnswer: h, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 - 3*j**2)*(3*j**2 - 4*j + 3765 - 3765).\nAnswer: -6*j**4 + 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 + 5*p - 3. Let h = -2614 + 2610. Let k(u) = -3*u**2 - 4*u + 2. What is h*r(t) - 5*k(t)?\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 13*c**7\/42 + 21*c**3\/2 - 143*c**2. What is the first derivative of u(z) wrt z?\nAnswer: 260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/7037724 and -121\/455424.\nAnswer: 450414336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceemcncmceeccecccee. What is prob of sequence ec?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2466981459 to the nearest integer?\nAnswer: 49669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*q = -39, 5*d + 3*q - 65 = 2*q. Let g(l) be the third derivative of l**4\/24 - 8*l**3\/3 + 475*l**2. What is g(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 36 = -10*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50063036 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 85 and 105 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187960 by 6.\nAnswer: -93980\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/17))\/(t\/t**5*t))**(3\/23)*(t\/(t**(2\/11)\/t)*t)\/(t\/t**4)*t\/(t\/t**4)*t**(3\/5) assuming t is positive.\nAnswer: t**(234933\/21505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2*o**2 - o**2 + 5*o**2) + (3 - 1 + 2)*(69 - o - 69 - 19*o**2).\nAnswer: -74*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 13*j + 124. Suppose 5 = -274*x + 273*x + 2*r, -5*x + r - 43 = 0. Determine i(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 27*a**4\/20 - 6*a**3 + 42*a**2\/5 - 24*a\/5 + 17. Factor r(w).\nAnswer: 3*(w - 2)*(3*w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 83385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Let z(p) = -3*p - 4*p**2 + 4 + 4*p**2 - 1 + p**2 + 9*p**3. Let t(v) = 5*v**3 + v**2 - v + 1. Let h(w) = -7*t(w) + 4*z(w). Give h(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585828183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40871 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:07 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001049111 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -648\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 73 + -73 - (0 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233.98 - -235. Let y = w - -0.98. Which is the third smallest value? (a) -1 (b) y (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/39 + (0 - 3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 286 = -5*n - 70, 2*n - 5*i = -149. Suppose 11*w = 9*w - 4*j - 34, -5*j + 1 - 51 = 0. Put n, -2, w in descending order.\nAnswer: w, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2. Let o(a) = -a**2. Let j be 1 - 35\/7 - -12. Let q(r) = -3 - 10*r**2 + 3 + 2*r**2. Let x(m) = j*o(m) - 2*q(m). Determine x(v(i)).\nAnswer: 512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12317104 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -6. Suppose 0 = -x - 0*x - b. List the prime factors of (-7)\/(x\/4*2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -9, -30, 1, 3 in decreasing order.\nAnswer: 124, 3, 1, -9, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(320) - (sqrt(320) + 4*(sqrt(320) + 0) + sqrt(320)) - sqrt(320)))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618526094?\nAnswer: 2, 29, 10664243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -17, -2, -1\/3, 82627\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 225\/27 - (-2568)\/(-963)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 325, 648, 971?\n\"Answer: 323*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -161194\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0 + 0*o + 1\/40*o**6 + 1\/20*o**5 + 0*o**3 + 0*o**4 + 31*o**2. Factor x(n).\nAnswer: 3*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 64. Let m be (-46)\/14 - i\/6. Put 2, 0.12, 0.2, m in descending order.\nAnswer: 2, 0.2, 0.12, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**4\/3 - 960*v**3 + 5*v**2 + 8650*v\/3 + 1920 = 0 for v.\nAnswer: -576, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639548.26 rounded to the nearest 10000?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 10*q + 54 = 2*z, z = 4*q + 37. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 853045458*s**2*t - 31*s**2 + 61*s - 29701 wrt t.\nAnswer: 853045458*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-252)\/(-60) - (-2)\/(-10). Suppose 9619 = t*y - 4365. Is y\/18 + (-20)\/90 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/162 and -1 - (-3616)\/594 - 5.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.65 - -0.05. Let q = 5.6 + v. Which is the nearest to 2? (a) 0.4 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.1998\nAnswer: 0.07992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5\/5 + 993*y**4\/5 + 837849*y**3\/5 - 10165233*y**2\/5 + 24615954*y\/5 - 3057912 = 0.\nAnswer: -396, 1, 2, 9, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by -1210738.\nAnswer: 58\/605369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*a = -44, -4*x - 3*a + 51 = -51. Let p = 0 + 3. Let o be p - (-59 - (-1 + -1)). Calculate the greatest common factor of o and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, f: 2}. Give prob of sequence fp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -174454+1658318794\nAnswer: 1658144340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/41 in 1\/6, -1, 3, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4150 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + (-3)\/(-6)*-4. Let v be (-3)\/(-12) - m\/12. Suppose 2*w - 5 = -v. What is the nearest to -0.2 in -0.3, 0.5, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/3 + (-5)\/(-1). Let f(g) = -g + 6. Let v be f(b). Suppose 2*n = -2*k + 3 - v, n - 1 = -4*k. What is the second biggest value in k, 0.4, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0 (c) 1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 2. Let h = -4412 - -4409. Let f(n) = 5*n - 3 - 2*n + 6. Calculate h*f(q) + 4*r(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 2*d + 3. Let z be a(2). Suppose z*b - 2 = 2*b. Suppose -b*l - 2*i = -16, 5*l + i - 28 = 2*i. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279*l + 258*l - 191*l + 86*l to the form k + x*l and give x.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 50*d**2 + 60*d**2 + (3*d + 2*d - 3*d)*(0*d + d + 0*d) to the form a*d**2 + h + b*d and give a.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 76*s - 52. What is p(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 200393, 400472, 600235, 799682, 998813, 1197628, 1396127?\n\"Answer: -158*j**2 + 200553*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmnmyymnyn. What is prob of picking 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*v - 73 - 19*v - 13*v in the form q + x*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -249 + 205.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 + 3*k + 2358. Let p be x(0). Suppose 0 = 4*u - 2*i - p, 5*i - 11 - 14 = 0. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 75074.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/5)*(m\/(m\/(m\/((m\/(m\/m**(-1\/3))*m)\/m))))\/m assuming m is positive.\nAnswer: m**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 k when three letters picked without replacement from akkldazaa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.2 (c) 4.1132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3620)\/222 + 14 + (13 - 576\/54)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -762 + 765. Solve r = -m - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 932900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**4\/13 + 54*t**3\/13 + 50*t**2\/13 - 144*t\/13 + 32\/13 = 0. What is t?\nAnswer: -4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 + ((-2184)\/120 - -18). Which is smaller: t or 2\/9351?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*s + 348 - 144 = -795 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 less than 0.392?\nAnswer: -1.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 18. Let t(m) be the third derivative of m**5\/60 - m**4\/24 - 2*m**3\/3 + 2*m**2. List the prime factors of t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -905966051 to the nearest one million.\nAnswer: -906000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/12)\/(3\/(-18)). Suppose t*c + c = -6, -i - 2*c = 1. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 29310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, -19\/5, 84, 1\/3 in descending order.\nAnswer: 84, 1\/3, -0.4, -0.5, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*q + 8 = 0, 4*v - 5*q + q = 0. Suppose 32 = v*h - 4*y, 7*h - 3*h + 4*y = 8. Which is bigger: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2598, -10293, -23100, -41019, -64050, -92193?\n\"Answer: -2556*r**2 - 27*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6655 = -863*v - 460*v + 6575 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 152*g - 462. Let n be t(3). Let w(o) = -2*o - 3*o + 0*o - o**3 + 8 - 7*o**2. Calculate w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63.5 + -17.5. Let c = 82 + o. Put 6\/5, c, -0.25 in ascending order.\nAnswer: -0.25, c, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2838\nAnswer: 567.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186275\/7 or -26611?\nAnswer: -26611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/65*(-22)\/(-11).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 11) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 917152620 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 + 130 + 78)*(-10*c - 5*c - 6*c) to the form s + k*c and give k.\nAnswer: -6153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 + 2. Let j = 9.032 + -14.032. Put w, 5, j, 18 in ascending order.\nAnswer: j, w, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 - 897*t - 83691.\nAnswer: -3*(t + 102)*(t + 1094)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 14. Let g = -12 + b. Suppose -126 = -g*m + 252. What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 339 + 63 = 0. Is i < -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let l = 1 - s. Let n = 8 + -5. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i - 8. Let q(l) = -l. Let w(k) = -a(k) - 4*q(k). Let n(u) = -u + 3. What is -8*n(t) + 3*w(t)?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/10 (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*26\/20 + 3. What is the second smallest value in 3\/5, q, 2, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -744042.4 rounded to the nearest 1000?\nAnswer: -744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:59 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 1400, 3100, 5442?\nAnswer: 8426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9473, 18947, 28421?\n\"Answer: 9474*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.69 - -4.69. Let c(t) = -1 + 1 + t - 1 - 1. Let s be c(-1). Put s, -25, q in decreasing order.\nAnswer: q, s, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6838937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (231\/56)\/((-440)\/(-720))?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17*k**2 - 3. Let w(g) be the second derivative of g**5\/30 + 130*g**2 + 59*g - 2. Let u(l) be the first derivative of w(l). Give n(u(r)).\nAnswer: -68*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3 in increasing order.\nAnswer: -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 12*r**2 - 13*r - 38. What is the units digit of h(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**3\/3 + 2*y**2 - 22*y + 390. Let x = -2 + -8. What is the tens digit of k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + -3.7980193111.\nAnswer: 103.2019806889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p + 13. Let s(z) = 15*z + 17. Let w(l) = 11*o(l) - 6*s(l). Let d(q) = 2*q - 41. What is -6*d(k) - 7*w(k)?\nAnswer: 2*k - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -18*p**3 - 6*p**2 - 5*p - 4. Let w(m) = -35*m**3 - 11*m**2 - 9*m - 7. Let y(k) = 7*c(k) - 4*w(k). Calculate y(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - -4) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bca - -6?\nAnswer: -bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 9*t**2 + 9*t - 9. Let n be z(8). Let h(y) = 3*y**2 + 2*y + 1. Let s be h(n). Factor 0*p**2 - s*p**2 - 20*p + p**5 + 19*p + 2*p**4.\nAnswer: p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41168037*k**2*y**2 - 411*k**2*y - 30*k**2 + 2*k*y - 6*k - 5*y**2 - 176*y wrt y?\nAnswer: 82336074*k**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*y + 37*y - 33. Suppose 0 = 5*t - 0*v + 3*v - y, -2*t - 3*v = 1. Solve 5*b + t = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 161.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.1 + -0.1. Let p = 30.5 - d. Let q = p - 3.7. Which is the nearest to q? (a) 1 (b) -0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4790.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 4*l**2 + 3*l**3 + 3*l**2 + 0*l**3 + 3 to b*l + d*l**2 + x*l**3 + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) 0.103 (c) 1\/76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287524 is divided by 287478.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/600 and -59\/60.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o + 3114*o**3 - 3057*o**3.\nAnswer: 57*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 30*s**2. Let w(b) = b - 8*b - b + 11*b. Calculate w(k(g)).\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 0.29. Let g = 2.94 + 0.06. Which is the nearest to w? (a) g (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21 + 57\/(-19) + -20. Put j, 33, -6 in descending order.\nAnswer: 33, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.11 + 8.06. Which is the closest to 0.1? (a) x (b) -5 (c) 3\/8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = -5*m, -4*q + 7*q + 5*m + 4 = 0. Let d be 258\/12*(-3 + 8 + q). Calculate the highest common factor of 1591 and d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22827 by -1224.\nAnswer: 7609\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2791, -2660, -2519, -2368, -2207?\nAnswer: -2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 56. Suppose -t - 5*l = 6, -n*t + 2*l + 2*l + 16 = 0. Suppose 2*z - 1580 = -t*b, 4*z + 1184 = 3*b + 6*z. Is b a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 3*q + 4. Let x be o(3). What is the closest to -1 in 0, x, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*z - 3)*(-1 + 2*z + 1) + (-z + 0*z - z)*(8*z - 5*z + 0*z) as n*z + m + b*z**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8809166.54 to the nearest one thousand.\nAnswer: -8809000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/(-5) - (-4)\/(-10). Let k = 260 - 255. Suppose 0 = k*t + 2*m - 25, 0 = -5*t - 3*m + 6*m. Put 2, s, t in increasing order.\nAnswer: s, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*t + 20*t - 31*t)*(-2*t**2 - t + t).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = -21*y + 91*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2656, 2678, 2690, 2686, 2660?\nAnswer: 2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274038422.\nAnswer: 2, 3, 293, 353, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1327032464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:18 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 + 1 + -5) - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -10, -0.1, 0.3, -38.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3182 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 + 262 = 2*g + 342 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1322382*f**2 - 4*f + 2. Let r be w(-3). Let b be r\/(-10) - 36\/90. Let o = b - 11890142. What is o rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-30)\/25 + 339\/(-5). Let v = h - -71. Suppose d = -v*d - 2360000. Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (91*d**2 - 42*d**2 - 49*d**2 - 114*d**3)*(8*d + 38 - 38) as q*d + z*d**2 + t + p*d**4 + w*d**3 and give p.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20639\/47 <= 438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5)\/((-225)\/9)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, 15, 11\/8, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -0.1, -3\/2, -0.2, -13496?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilklaaalaaiiaildaaa. What is prob of picking 1 k and 1 l?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*d**2 + 47 - 49\/2*d = 0. What is d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 10*w**2 + 38*w - 13. Determine o(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -3) + 6 + -3 - (14 - 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 21*w - 26. Determine f(14).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172\/6175 or 1?\nAnswer: -172\/6175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + 4)*(-2)\/(-6). Suppose -4*p + 2*h = -468, -k*h + h = -5*p + 584. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 5 - (-3 + 3 - -2). Let u(y) = -4*y**2 + 3*y - 43. Let n(q) = -3*q**2 + 2*q - 29. Let v(b) = 7*n(b) - 5*u(b). Determine v(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 534 = -306. Find the third derivative of m*k + 0*k**3 + k**2 + k**3 - 3*k**6 - 27*k wrt k.\nAnswer: -360*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 28. Let l(a) = 2*a**2 + 6*a + 7. Let r be l(b). Suppose 2*o = -3*o + 5*h - 15, r = o + 5*h. Solve p = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in -0.2, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 0.2 (c) -4.62 (d) -4 (e) 4 (f) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/21)\/((-1)\/(-7)). Suppose 0 = -2*j + q - 4. Solve -2*c - 3*c + 2*w = 21, 2*c + j*w + 18 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*u**5 + 30537*u**3 + u + 1231455 wrt u.\nAnswer: 1500*u**3 + 183222*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -3. Suppose y = -4*l + l. Round l to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20849452 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(36)\/sqrt(4) + sqrt(9)) - sqrt(12))\/(sqrt(4) + -2*sqrt(28)\/sqrt(7) - sqrt(4)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5*g + 2*g)*(-515 + 235 + 168) + (14 - 4*g - 14)*(2 + 0 - 3).\nAnswer: 228*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 40 = 5*l, -6*o = 5*l - 5*o - 20. Let j = 2 + 0. Let r = 0.24 - 0.34. Which is the second biggest value? (a) r (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -10 + 3. Let k(q) = -3*q - 19. Let l(u) = 4*u + 29. Suppose 4*o - 4*h - 3 = -11, -3*h - 8 = -o. Let f(z) = o*k(z) - 5*l(z). Give f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684\/27 + -8 + (-2)\/(-3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/4)*c)**(-1\/9)*(c*(c\/c**(-2\/9)*c)\/c)\/c*c*c**(-6\/7) assuming c is positive.\nAnswer: c**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t = -34*t + 16. Calculate the highest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11211 (base 3) to base 11\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 267288929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 4, y: 2}. Give prob of sequence gey.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/10)\/((-3)\/((-15)\/2)). Let b(a) be the second derivative of 0 + i*a**2 + 2\/3*a**3 + 2*a. What is the first derivative of b(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27507, -27454, -27401, -27348?\n\"Answer: 53*y - 27560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/40)\/(-18*(-12)\/(-96))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*q + 112. Let i = q - 7. Let k = i - -5. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 116 + 39 - 5*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -3, -1, 2010 in increasing order.\nAnswer: -3, -1, 2, 5, 2010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1194096 to three dps.\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9624*o + 349*o = 2878*o + 607650 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 - (1684 + -1684)*(-2)\/(-52)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 5*o**2 + 9*o - 65. Let v(p) = -2*p**3 - 11*p**2 + 19*p - 129. Let y(c) = -9*b(c) + 4*v(c). What are the prime factors of y(8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 944 - 608. Suppose -5*l - 2*p = -4*p - n, 0 = p - 2. Calculate the greatest common divisor of l and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 0.04, 33\/2, -1\/6 in descending order.\nAnswer: 33\/2, 0.04, -1\/6, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3\/5 - 3848*j**2\/5 + 167956*j\/5 + 538608\/5 = 0. Calculate j.\nAnswer: -3, 49, 916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20405811?\nAnswer: 3, 6801937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00712987067 rounded to seven dps?\nAnswer: -0.0071299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1416 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - (-645)\/(-1089). Let d = -3195\/968 - o. Find the common denominator of d and -131\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 651, 2203, 5229, 10221, 17671?\nAnswer: 28071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5680\/34949?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1926\nAnswer: 4\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 24703.\nAnswer: -2\/24703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 6*j**2 - 2*j - 7. Let o be l(-6). Let m(y) = 5*y**2 + 120*y - 33. Let d(n) = -4*n**2 - 93*n + 25. Let c(t) = 9*d(t) + 7*m(t). Calculate c(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/570*6 + -3 + (-152)\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**2\/2 - 78*z - 39. Let v(h) be the first derivative of s(h). Let d = -1 + 0. Let y(p) = 5*p + 4. Calculate d*y(g) + 4*v(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f + 23*f - 47*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = -2*f, -4*f - 18 = -3*z + 2*z. Let x be (z\/(-5))\/((-2)\/(-30)). Calculate the remainder when 25 is divided by 39\/x*(-2)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 112215.\nAnswer: 224430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/4 - 7*o**3\/3 + o**2\/2 + 8*o - 14. Determine w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000192 to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-98) - 1920\/3136\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + 1 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5292389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30412 (base 5) in base 8?\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 204 = -0*v + 2*u, 0 = 2*u + 6. What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1960 and 2660.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*n**3 - 6*n + 2.\nAnswer: 1440*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -203*z**6\/3 + 391*z**4\/12 - 2169*z. What is the third derivative of p(g) wrt g?\nAnswer: -48720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -805, -1757, -3087?\nAnswer: -4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:53 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 43. Suppose 4*t = -24 + 4, -4*v - k = 5*t. Let d be -1 - (-2)\/2 - v. Solve d*q = 5*q + 9, 0 = 5*i + 2*q + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 648.4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 6*j**5\/5 + j**4\/24 + 47*j**3\/6 + 9*j**2 + 1. Let z(h) be the first derivative of q(h). Let p(k) = k**2. Calculate z(p(g)).\nAnswer: 144*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.59 + 8.11. Let q = m + -11.6. Which is the closest to -3\/5? (a) -4 (b) q (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - sqrt(190)*1)*-1)\/(-2*sqrt(640)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 k when four letters picked without replacement from {m: 2, k: 2, i: 4, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:28 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = i + 5*u, -u = -5*i - 7 - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854246*o + 854254*o = -192 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 30 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:17 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 16 = -28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1394549 * -0.017.\nAnswer: 23707.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493671?\nAnswer: 3, 79, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + o - 2 - o - 5*o**4 - 4*o**4 + o**4 + (2*o**2 + o**4 - 2*o**2)*(0 + 4 - 6) to p*o + z*o**3 + a + n*o**4 + t*o**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulxx when four letters picked without replacement from {u: 1, x: 2, l: 1, w: 1, r: 1, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6365 is divided by 2091?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 - -179. Calculate the smallest common multiple of 16 and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhch when four letters picked without replacement from {h: 3, c: 1, r: 6, t: 4, y: 2}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/9)*f**(-35)*(f*f*(f*f*f*f*f*f**(-6\/13))\/f*f*f)\/f**33 assuming f is positive.\nAnswer: f**(-7048\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*b**3 + 42 + 33 - 81.\nAnswer: 296*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-52) - 470\/(-13). Suppose 0*r - 161 = -5*v + r, v - 4*r - h = 0. Suppose t + t = v. Calculate the lowest common multiple of 22 and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.0082 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*r = -6*p + 440, p - 100 = -3*r. Calculate the greatest common divisor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-33) + (-2)\/(-11). Let b(m) = 1 + r - 8*m + 16*m + 16*m. Is b(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 1:15 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422 - -1321. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 66*i + 847. What is z(-16)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30591770 or -30591771?\nAnswer: -30591771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*f + 6*v, 4*f - 889*v + 20 = -894*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 209, 469, 833, 1301, 1873, 2549?\nAnswer: 3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 0*q - 1 + 12*q**2 + 6*q + 11 - 10*q. What is the hundreds digit of y(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 3)*(-31)\/12462. Is i at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*d + 5, -4*d - 8*s + 4*s - 28 = 0. Let z be (-2)\/8 + d\/(-8). Find o such that 2\/7*o + z - 6\/7*o**2 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*o + 145, -4*z + 124 = -0*z + 4*o. Let g be z\/(-28) - (-3)\/6. Let l(p) = 6*p - 50. Let h be l(9). What is the closest to -0.3 in h, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/4)\/(7\/(-140)). Suppose j + u = 6. Let l(d) = d - 1. Let k(g) = -g + 1. Let n(y) = -2*k(y) - l(y). Determine n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 - 1. Let l(c) = -3*c**3 - 6*c**2 - c - 6. Give -l(w) + 6*o(w).\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, -84, -90, -98, -108, -120?\n\"Answer: -y**2 - y - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 = -5*p + 2*a, -p = 5*a - 63 - 62. Suppose d + p = 4*d + w, 0 = w - 2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000247067 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5.08. Let g = 0.0800044 - u. Round g to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = x - 53. Let f(k) be the second derivative of 0*k**2 + 0*k**x + 0 + 1\/2*k**3 - 1\/20*k**5 + k. What is the second derivative of f(c) wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 2*m. Let n be -57*(-3)\/(-5 - -14). Let d = n + -17. Let u(v) = 5*v**2 + 11*v. Determine d*u(j) + 11*y(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 66 = -5*d + a, 3*d - a = -38. Let q = 47 - d. List the prime factors of q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((2\/12)\/(2\/(-16))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m - 1\/90*m**5 + 0 + 1\/270*m**6 + 1\/945*m**7 - 7*m**2 + 4\/27*m**3 - 1\/27*m**4. Factor l(n).\nAnswer: 2*(n - 1)**2*(n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r - 4. Let a = 28 + -28. Suppose -5*j + j + 4 = a. Let b be (2 - j)\/((-3)\/15). Calculate i(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16555, 16556, 16557, 16558, 16559, 16560?\nAnswer: 16561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -17\/2, 0.04111, 5, 0.02, -3?\nAnswer: 0.04111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6097823419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 1. Let n(r) = 3*r**2 + 7*r + 15. Let q(w) = n(w) + 3*v(w). What is the remainder when q(-7) is divided by (0 + -1)\/(2\/(-30))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*g + k, -3*g = -k - 26 + 21. Solve -2*y = -5*h + 19, g*h - 4*h + 5 = -y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - -55) + 9 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1116 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -43*u - 301. Let y be t(-7). Let o(j) = -j**3 - j**2 + 2*j + 5. Give o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/(-85))\/16*-5*1*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (8 - 12) + 7 + (8 - 12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose h + 4 - 13 = u. Suppose 2*n = 4*b - 22 + 6, -4*b = 5*n - 30. Calculate the remainder when h is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbmsmbmbbybkskk. Give prob of sequence smbb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 1 + 10 + 9 - 42 + 9. Let g(r) = r - 13. What is 6*g(c) - 5*z(c)?\nAnswer: c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1056 = -140*f + 2920 + 784. Solve 0 = -c + f - 39, -4*y = 5*c + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -1, -2\/17, 59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 60, 75, 106, 159, 240?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38347 by -3.\nAnswer: -38347\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 8*x - 4. Let z be ((-30)\/(-25))\/((-1)\/(-5)). Let n be (-5)\/(3\/((-3)\/(-1))). Let o(q) = 2*q**2 - 7*q - 3. Determine n*v(f) + z*o(f).\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10773 + 0?\nAnswer: -10773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 28*c**3 - 96*c**2 + 28*c + 98.\nAnswer: -2*(c - 1)*(c + 1)*(c + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1018 and -197\/149760?\nAnswer: 76227840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(2448) + (2 + -2 + sqrt(2448) - sqrt(2448)) - sqrt(2448)) + -1)*2 + -2 + 4)*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-4*a + a + 4*a) + 259 - 259 - 12*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3705 is divided by 211?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2183, 2005, 1705, 1283, 739?\n\"Answer: -61*u**2 + 5*u + 2239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 28*g - 1. Let t(f) = 360*f. Determine t(p(k)).\nAnswer: 10080*k - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 21 = 33. Calculate the common denominator of (h - -4) + 8255\/(-1287) and 26\/81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-126)\/567 + 110\/18 - -7. What is the third biggest value in 0.4, t, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 1, r: 1, m: 3}. Give prob of sequence rd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = i - 5*r, i - 9*r + 15 = -6*r. Let u(h) = 10*h**2 - 4*h. Let w(d) be the second derivative of 10*d**4\/3 - 5*d**3\/2 - 27*d. What is i*u(l) + 4*w(l)?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {m: 1, t: 7, s: 1, j: 4, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4583045, 4583367, 4583895, 4584623, 4585545, 4586655?\nAnswer: 4587947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 35*p**2 + 467*p + 1216. Determine x(-8).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 307888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24553, 48057, 87227, 142057, 212541, 298673?\nAnswer: 400447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20013288877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 11 = 37. Solve c*f = -2*f + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/12 - ((7 - 1) + -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**3 - 12*c**2 + 7*c - 9. Let h(w) = -6*w**3 + 18*w**2 - 11*w + 13. Let b(q) = -5*h(q) - 7*v(q). Factor b(o).\nAnswer: 2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -14387330341.\nAnswer: -14387330345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 1}. What is prob of sequence rmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) + (sqrt(136) - sqrt(136)*-2))*-1)\/(sqrt(64)\/(sqrt(16)\/sqrt(2))))**2 + (0 + sqrt(612) - sqrt(612))**2 + 5 + 0.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from hrhqh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -56721?\nAnswer: -56721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10268 (base 10) to base 4.\nAnswer: -2200130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27467597707774563*c**2\/5 - 2296470936*c\/5 - 48\/5.\nAnswer: -3*(95686289*c + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*d + 9, -2*d - 3*d + 34 = 4*o. Let m be (8\/d + -2)*-6. Suppose -m*v = 12 - 32. Solve v*p = -g - 21, g = -g - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*x**2 - 543*x**2 + 1695*x + 6*x**2 wrt x?\nAnswer: -818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 22 = 20. Suppose 5*f - 4*p = 84, -4*p = 1 + 3. Calculate the least common multiple of l and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1049 + 1046. Which is the nearest to 0? (a) j (b) -2\/23 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - n = -0*n - 1129, -4*d + 3*n + 1125 = 0. What are the prime factors of d?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 3. Let z be j(-4). Suppose 2*b - 5*u - 36 = -2*b, 5*b = 2*u + 28. Suppose 2*n = 3*n + b. Put -3, z, n in increasing order.\nAnswer: n, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5169 - -5126.38. Round h to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -355*w**4\/12 + 527*w**2\/2 + 13*w + 9. What is the first derivative of o(c) wrt c?\nAnswer: -710*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -5. Let l be 2\/16*70 + h\/(-4). Suppose -l*q + 4*q = -410. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1387 - -1390. Solve -j*k + 7 = -5*c - 7, 4*c = k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15 and -85327039.\nAnswer: -85327039.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14029 - -0.1749. Round h to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034\/481 greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -7920949.\nAnswer: -47525694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-682))\/(119\/(78540\/(-120)))?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -43793.\nAnswer: -131379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 1741*g - 37890. Determine i(22).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5\/6))**(-25)\/(r**(4\/3)\/r)**(-28\/5) assuming r is positive.\nAnswer: r**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 124058785 to the power of 1\/2, to the nearest integer?\nAnswer: 11138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 - 5637*d**2 + 2605197*d + 40356405 = 0.\nAnswer: -15, 947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 8. Suppose 2*j + 3*a + 3 = 5, -5*j + n*a = -43. What is the highest common divisor of j and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -54, -5, 2\/5, -4.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 227*y + 25. Is o(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 5*y**2 + 4*y. Let f be s(-4). Suppose -4*d + 14 = -5*a, f = -3*d - 2*d - 3*a + 36. Let h = d + 27. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 4*q + 14*q + 13*q - 33*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 351, 0.4, -10\/9, 0.3, 0, -1\/8 in descending order.\nAnswer: 351, 0.4, 0.3, 0, -1\/8, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10082334 to the nearest integer?\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose 3*d + 3*q - 12 = g, d - q = 3*d - 9. Suppose 0 = 4*w + v - 53, -d*v = -5*w + 57 + 3. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(207829\/(-548))*738?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 496999800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409889 is divided by 5465?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -685*k**5 - 105*k**4 + 84450*k wrt k.\nAnswer: -13700*k**3 - 1260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + 109 + (-115 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.06 (b) 1\/6 (c) 5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5764.111 millennia to decades.\nAnswer: 576411.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 319647 a multiple of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 + 4*n + 6. Let u be l(4). Let h(i) = -2*i**3 - 12*i**2 + 13*i + 13. Is h(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 618 = 1661. Let o be (2 - 2)\/(2\/(-1)). Suppose p + 3721 + n = o. What is p rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -303*u - 27. List the prime factors of f(-2).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**2. Let n(c) = 2*c - 920. Calculate v(n(b)).\nAnswer: -44*b**2 + 40480*b - 9310400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 87756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 5*s**2 - s - 6. Let z be v(5). Let m = z - -4. Let c(u) = 3*u - 2. Let f be c(-2). Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29c (base 15) to base 4.\nAnswer: 21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1, -2*o - 2*z = -3 + 1. Suppose o*t - 36 = -t. Solve -2*f - t = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158867.6887 rounded to the nearest 1000?\nAnswer: 159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -1\/7, -4\/5, -8.9, -0.3, 0.756?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11407412*p**2 + 5987673.\nAnswer: -22814824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 + 57 - (16 + -12) - (-8 - 2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 20\/7*i**2 - 144\/7 - 352\/7*i = 0.\nAnswer: -2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 4*j - 51, 1171*j = -n + 1173*j - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9.7. Suppose -22 + 2 = -5*c - 2*m, -8 = c - 2*m. Suppose 5*s - o = 23, c*s + 4*o + 1 - 19 = 0. What is the nearest to -0.2 in -3, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314226?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-18)*-2 + 3423\/9. Suppose -5*r - 65 = -w. What is the greatest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 418\/7 - 60. Let o be ((-75)\/10)\/(-5)*4\/(-6). Let z be (-8)\/(-64)*(-6)\/o. What is the closest to 0.1 in u, -0.4, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j = -705*j - 588*j - 32589 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13676092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 907 or 906?\nAnswer: 906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2*i - 3*i)*(4*i - 3*i + i) + i**2 + 3*i**2 - 3*i**2 + (-1 - 2*i + 1)*(7*i + 0 + 0) as t*i**2 + n + w*i and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 - 7*f + 7. Let u(q) = -3*q**2 + 4*q - 4. Let y(c) = -7*u(c) - 4*z(c). Let m(p) = 161*p - 161*p + p**2. Give y(m(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 797670553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 20537 + 4*y - 41157 + 20515 - 4*y**2.\nAnswer: -4*y**2 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202031 + 0?\nAnswer: 202031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4586215 - -13?\nAnswer: 4586228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5487*t + 2249683. Calculate s(410).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Suppose -o - 4 = o, -5*r = l*o + 29. Let p be -6 + 510\/80 + (-10)\/(-16). Put p, r, -2, -1 in decreasing order.\nAnswer: p, -1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 18*p + 17. Determine u(19).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/78 and -10\/1582207.\nAnswer: 123412146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3275, -26514, -89593, -212432, -414951, -717070, -1138709, -1699788?\nAnswer: -2420227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5400 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 6*y - 125 = t, t + 3*y = -56 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -745 - 38*z**3 - 1371*z + 745 + 76*z**3 - 42*z**3 to the form x*z**3 + j*z + g + v*z**2 and give j.\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 42 - 9 = v, -4*g + 2*v = -32. Solve z = -2*u + g, -18 + 1 = z - 4*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 1 - 3*j**3 + 1 + (-2 - 12*j + 2)*(4*j**2 + 0*j**2 - 2*j**2) as h*j + q*j**2 + u*j**3 + o and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + ((-2)\/2 - -2). Suppose j*b - 4*b - 48 = 0. What is the units digit of b\/(-2) + 3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2006 divide 74330958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/3 + 278*n\/3 - 277\/3 = 0. What is n?\nAnswer: 1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**2 + 0*s - 1\/360*s**6 - 1\/20*s**5 + 0*s**3 + 0 - 3\/8*s**4. Let g(r) be the second derivative of f(r). Calculate g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 165598645 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w - 1. Let j(k) = 2100*k + 1. Calculate x(j(t)).\nAnswer: 31500*t + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -236512\nAnswer: -236512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8272)\/22*(-36)\/288?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10847, -10830, -10807, -10778, -10743, -10702, -10655?\n\"Answer: 3*q**2 + 8*q - 10858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6623 is divided by 934.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 294479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 565*x**3 - 35*x - 35. Let y(b) = 47*b**3 - 3*b - 3. Give -3*f(d) + 35*y(d).\nAnswer: -50*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3264437.\nAnswer: 11, 296767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 1 - (44 + -37)) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 11*k + 74 = 0. Let t = -31 + k. What is the least common multiple of 33 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 4*p + 23. Calculate k(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**8\/20160 + b**5\/60 - 3*b**2. Let o(j) be the third derivative of h(j). Let t(s) = -4*s**2. What is o(t(r))?\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0 + 4 - 3*v - 5 - 3. Let m(k) = -k - 1. Give -5*m(d) + o(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*u + 94, -3*u - 489 = -5*s - 4*u. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:21 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -3 + 4 - (-2 - 2). Solve 3*h - 27 = -3*l, 3*l + i = -3*h + 7*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvva when four letters picked without replacement from {v: 4, e: 8, a: 3, u: 4}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 + 0.3. Let k = 63048 - 63050.000025. Let o = r - k. Round o to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - 11*j - 25. Let t be r(-11). Let x be (-8)\/(-4) + (-1)\/((-3)\/t). What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d97 (base 15) in base 7?\nAnswer: -53314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (55\/(-30) - (-3)\/(-18))*-1. Factor -2*g**4 + 0*g**2 + 87*g**5 + w*g**3 - 89*g**5 + 2*g**2.\nAnswer: -2*g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 + 12228*x**2 - 9363564*x + 27980748 = 0. What is x?\nAnswer: 3, 1527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27501145.\nAnswer: 5, 7, 367, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34798, -69642, -104484, -139324?\nAnswer: -174162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:29 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = -0. Let x = q + -3. Suppose -m = -a + 3*m - 7, 0 = -2*a - x*m + 6. Solve 3*b + 4 = a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 53724*l**2 + 3879792*l - 69906240.\nAnswer: -3*(l - 36)**2*(l + 17980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/7 - 923*f**2\/7 + 16*f\/7 + 14768\/7 = 0.\nAnswer: -923, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbvsbcbbvbvbsbsccs. What is prob of sequence bbbs?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.97, 3\/8, -5?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 4. Suppose k + 2 = t. Suppose 2*s = t*s + 20. Which is the third smallest value? (a) -3 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 19. Let x(o) = 33*o + k - 4 - 32*o. Calculate the lowest common multiple of 58 and x(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -89 (b) -0.3 (c) -4 (d) -0.2 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f - 5*z + 130, 4*f - 5*z + 165 = 0. Which is smaller: f or -217\/6?\nAnswer: -217\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 8*o - 246. Calculate the remainder when o is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7425+-411.7\nAnswer: -7836.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -11*l**8\/56 + l**5\/60 + l**3\/2 - 73*l**2 + 2*l. Find the third derivative of p(f) wrt f.\nAnswer: -3960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 84*y + 11212. Give t(-128).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - 0.25. Let g = 1.3 - p. Let i = 3.6 - g. Which is bigger: i or 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -329, -499, -671?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 870 (b) 0 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 442 + -2?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*r - 42 = 0, -3*i - r - 51 = 38. Let q = i + 61. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/380 and -12\/2945.\nAnswer: 11780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -98. Suppose -3*k - 47 = -149. Calculate the greatest common factor of a and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396466 is divided by 953.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = -0*p + 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 13947375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.001 in 5\/2, -0.085, -4?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24019, 95950, 215831, 383662, 599443?\nAnswer: 863174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000755143 to 7 dps.\nAnswer: -0.0000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3748 and -95\/33732.\nAnswer: 33732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 6*w**2 - 6*w - 1. Let k(j) be the second derivative of j**5\/10 + 5*j**4\/12 - 5*j**3\/6 - j**2\/2 - 52*j. What is 6*k(g) - 5*p(g)?\nAnswer: 2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 22. Let z be u(-9). Let y(i) = -i**2 + 13*i + 2. Let p be y(z). Solve 2*h = -p*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1325?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*m - 382 = 90 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177291.2 * 2.34.\nAnswer: 414861.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 y, and 1 c when three letters picked without replacement from jjyjjjjttyjjcj?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1647671, -3295406, -4943145, -6590894, -8238659, -9886446, -11534261?\nAnswer: -13182110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -1 + 11. Suppose -3*n = -y*c + 2*n + 65, -2*c - 5*n + 115 = 0. Let s = 597 - 237. What is the greatest common divisor of c and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (((sqrt(304) + 3 - sqrt(304))*3 - sqrt(304) - sqrt(304)) + sqrt(304))*1)**2.\nAnswer: -640 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005013 to four decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/(-54))\/((-2)\/(-132)). Let j be 603\/12*h\/(-66). Calculate the greatest common factor of j and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, 2\/19, -1\/8, 118693\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2294, 10 in decreasing order.\nAnswer: 2294, 10, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607514 (base 9) in base 16?\nAnswer: d9978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 19 + 7 = 0. Let x = 30 - -7. Let g = x - q. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 54*u + 546 = 0. Suppose 3*t + 3 = 36. Is t less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120022002210 (base 3) to base 5.\nAnswer: 34114102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -12. Let v = s + -13. Let g = -0.3 + 0.4. Which is the nearest to g? (a) -2 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26955054 and 70.\nAnswer: 134775270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61475*((-126)\/525)\/((-2)\/10) - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 4, 64, 196, 424, 772, 1264?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**12*k))*k*k)\/(k\/(k**(-12\/5)*k)) assuming k is positive.\nAnswer: k**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -81\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(16)\/sqrt(4)))\/(sqrt(150)*-3).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 138661, 277377, 416093, 554809, 693525?\n\"Answer: 138716*h - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-24)\/(o\/o**10*o**(1\/4)) assuming o is positive.\nAnswer: o**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52785 divided by -5\nAnswer: -10557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a + 311. Determine j(16).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 4. Let v(q) = 164*q - 16. What is 3*n(i) - v(i)?\nAnswer: -161*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-408.\nAnswer: 163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -17, 1010, 0, 0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r\/((r\/(r\/(r\/(r*r\/(r*r*r*r**(2\/35))))*r))\/r))))\/(r*r**(-12)\/r))**(-7) assuming r is positive.\nAnswer: r**(-418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1 - g**3 + 0*g**3 - g + 3*g - 3*g + 3*g**2. Let y be t(2). Suppose 0 = 2*z + y*z - 30. Calculate the smallest common multiple of 5 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Let i = -14.18 + -1.22. Let c = i + 15. What is the third smallest value in -0.5, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3*r - 15, -80*g - 20 = -83*g - 4*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2135680 is divided by 185.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.085422*-0.4.\nAnswer: 0.0341688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnjnjnnjnnjnjnnnjnj. Give prob of sequence jjjj.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 62. Suppose 4*r - 8 = k. Find d such that -12*d - 24 + r*d**2 + 102*d**3 - d**2 - 99*d**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1354 - (-2 - (4 + -3))) + (15 - 14). What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.65766 millimeters in kilometers?\nAnswer: 0.00003265766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 18. Let l = 0.4 - 0.44. Let h = -2.4759 - -2.9759. Which is the nearest to -0.1? (a) l (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 5:39 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - j - 1. Let c(f) = f + 1. Let p(g) = c(g) + n(g). Let m(y) be the first derivative of -8*y**3\/3 + y**2\/2 + y + 2. Calculate -2*m(s) + 14*p(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9892 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*(10 - 4). Which is the nearest to y? (a) -3\/8 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/(-22))\/((132\/(-11))\/(-24))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcjbjcjjcbyyjcccjw. What is prob of sequence jbyj?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*o**3 - 557*o - 5430?\nAnswer: 45*o**2 - 557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 727 - 699 - 3*x.\nAnswer: -4*x + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8345838478754*s**2 + 8345838478754*s**2 - 20*s**3.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9172*s**2 + 28142*s wrt s.\nAnswer: -18344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 4*s**5 - 2*s**5 + (-2*s**4 - 2*s**4 + 3*s**4)*(2*s + s - 5*s) + 6*s**5 - s + s.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 + (-11619)\/(-15). Let f = -321 + n. Suppose 0 = 7*l - 2*l - 4*u - f, -2*l = 3*u - 177. Does 30 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 8. Let i = o - -14. Suppose u = 6*u + 20. Which is the second smallest value? (a) -3 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169706 is divided by 1347.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3453 and 36.\nAnswer: 41436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 35779?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 23\/3 (c) -44 (d) 1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7452 (base 8) to base 14\nAnswer: -15b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 245, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6972810*t**2 + 13945617*t - 6.\nAnswer: 3*(t + 2)*(2324270*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 133 + 162 = 73 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 801457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**2 + 78*b - 9. Does 20 divide s(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 2 z when four letters picked without replacement from vzmbmbbrmzbmmrm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 309757?\nAnswer: 3097570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 35. What is w(58)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 divided by -284?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2376 = 11*f. Let g = f + 521. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 0.04 (c) 0.1 (d) 0.05 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (43 + -5) - (-1 + (14 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 94. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10802287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3903466 is divided by 650511.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 20*z = 3*z + 100*z - 2360 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.164? (a) 5 (b) 13 (c) -187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025767 rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1615*d**2 + 11325*d - 150. Calculate q(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*z - 1452 - 1224, 0 = -3*i + 5*z + 1596. Calculate the remainder when i is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:50 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 12939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65 and -180.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 132868, 132869, 132870?\n\"Answer: t + 132867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 63*r = -22*r - 22. Solve 4*a = 2*a + 6*w - 16, -4*a + r*w - 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 4, f: 1, i: 2, v: 4, j: 2}. What is prob of sequence zj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3\/14 (b) 1 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/13316 and -149\/142098.\nAnswer: 946088484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3, -1, 4 in increasing order.\nAnswer: -4, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -1\/16, 73.511?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5 + 14*u**4 - 38*u**3 + 50*u**2 - 32*u + 8.\nAnswer: -2*(u - 2)**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 1, c: 2, s: 4}. What is prob of sequence sc?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, -2\/19, 3, -0.082, -11, -1.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w**(-5\/4)*w)\/w*w*w)*w)\/w)**(-10)*((w*w\/(w*w**(3\/4)))\/w)\/w**(-13))**(-6) assuming w is positive.\nAnswer: w**(-237\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 6*x - 636. Let i = 47 + x. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2. Let o(s) be the second derivative of s**6\/180 + s**3\/2 - 3*s. Let b(q) be the second derivative of o(q). Give c(b(r)).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2. Let h(k) = -62*k + 1. Calculate l(h(x)).\nAnswer: 11532*x**2 - 372*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -140, -145, -152, -161, -172?\n\"Answer: -x**2 - 2*x - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25948803 = -4*y + 1368*t - 1367*t, 6487209 = y - 3*t. Round y to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.117868 - 66.416095. Let r = a - -28.3. What is r rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 12*m**2 + 10*m - 9. Let z be u(8). Calculate the common denominator of z\/66 + 1\/(-2) and -41\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*j = 5, 1 = u + j - 9. Factor -27*c + 4*c**3 - 14*c**3 - 18*c**2 + u*c**3.\nAnswer: -3*c*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:36 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8213561 to the power of 1\/2, to the nearest integer?\nAnswer: 2866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 3) + 4 + 1. Let s = 4 + m. Let v be (s\/((-6)\/9))\/(-1). Solve v*x - 2*h = -11, 0 = -3*h - 3 - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14505 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 75 times -3.4\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4*1\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(2*(-18)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 18*x + 35. Let w be v(-16). Suppose 0 = -p + 2 + w. Solve 5*a = h, -h + 2*a = -p*h - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110460 is divided by 625?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpchemy. Give prob of sequence meyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 1. Let o(f) = -60*f - 66. What is 2*o(a) - 132*v(a)?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114093\/44915 - -6\/3455. Let m = -47769\/16744 - -111\/161. Let j = k - m. Are 1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 177254, 0.5, 5, 0, 2\/13, 6 in decreasing order.\nAnswer: 177254, 6, 5, 0.5, 2\/13, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -357 + 358. Let f(u) = -8*u**2 - 16*u. Let q(l) = -l. Determine k*f(b) - 16*q(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(50))\/sqrt(2))\/(6*-5*sqrt(5)).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41456814.\nAnswer: 2, 3, 7, 987067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59645, 238255, 535831, 952379, 1487905?\n\"Answer: w**3 + 59477*w**2 + 172*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 331321 (base 5) to base 2\nAnswer: 10110011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.486112 rounded to 2 dps?\nAnswer: -6.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7581041 by -204893.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + ((sqrt(832)*-1 + sqrt(832) + 4)*-4)**2)*-2.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12863*g - 6865 wrt g.\nAnswer: -12863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v**2 + 187*v - 56. Let x be d(-19). Let z be -6*(0 - (-2)\/(-3)). Solve 5 = z*b + x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(100) + sqrt(100) + 1*sqrt(100))\/sqrt(10))\/(sqrt(5) - (-3*sqrt(35))\/sqrt(7) - sqrt(5)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -5 (c) 0.5 (d) 3143 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 - -188. Sort k, -8, 1.\nAnswer: -8, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 70 = 5*d, -3*k + 3*d + 25 = -14. Suppose y - 2 + k = 0. Let i(q) = q**2 - 2*q + 16. Is i(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -280, -433, -588, -745?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:19 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-52)*(0 - 716). Let y = d + -109. Suppose 2*c - 4*i = 176, 2*i - 6*i - y = -5*c. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -561582*n**5 + 8*n**3 - 18*n**2 + 663060*n + 580 wrt n.\nAnswer: -11231640*n**3 + 48*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -3*w**4\/4 - 53*w**3 - 225*w**2 - 651. Factor p(d).\nAnswer: -3*d*(d + 3)*(d + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.201 + 0.799. What is the fourth biggest value in m, -2\/7, -0.2, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 5*z + 1\/210*z**6 - 57\/35*z**5 + z**2 - 123462\/7*z**3 + 3249\/14*z**4 + 0. Solve j(a) = 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -46, -101, -188, -313, -482?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15259.\nAnswer: 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2783\/(-115) - 18\/(-15). Which is the second smallest value? (a) m (b) -5 (c) -1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16057*d = -16112*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280511434.\nAnswer: 2, 41, 457, 87541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -10. Factor v**4 - 2*v**h - 5*v**4 - 44*v + 12 + 6*v**5 + 56*v**2 - 24*v**3.\nAnswer: 4*(v - 1)**4*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 25872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110121022011111000 + -12?\nAnswer: 1110121022011110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29165941 or 2\/9?\nAnswer: 29165941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6844950371\/(-371) + 1 + (2 - 2). Round q to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 - 2*d - 1. Let h(u) = -u**3 - 2*u**2 + 7*u + 5. Let m(z) = h(z) - 2*q(z). Calculate m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 11:55 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 956422021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 58 - 44 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.39*0.08.\nAnswer: 2.7512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2087 + 3668. What are the prime factors of o?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (2 + -44)\/(-1). Let y be (-4)\/(-6)*2067\/26. Let v = n + y. Calculate the highest common factor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 12*i - 18. Let h be r(-10). Suppose 4*c - 4*d - 416 = 0, -d + 120 = c + h*d. Calculate the remainder when c is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 4. Let p be o(-4). Let q = p - 2. Calculate the common denominator of 118*(50\/24 + q) and 11\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 441 + -441.0346. Let s = v - 4.9654. Let u = -1 + 4. Which is the fourth smallest value? (a) 1 (b) u (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100100 (base 2) to base 15\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 14, -19 in decreasing order.\nAnswer: 14, 1\/4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733990 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - (24 + -8)) + (-12)\/((-72)\/(-78)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2912*j - 15195 + 3547 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 18 = 16*b - 13*b, 3*b - 4 = c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - -5.92. Let a = -1 + -1. Let c = 0.005 + -5.005. What is the third smallest value in p, c, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-139 + 265 - 139)*(10*p - 7*p**4 - 10*p).\nAnswer: 182*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 - 4 - 1 - 7*x**2 + 2*x**2 + 2*x**2 - 4*x to the form j*x + q*x**2 + o and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 0*i)*(-61 + 130 + 25).\nAnswer: -376*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(4 + 6 + 5) + 0 + 4 - 5)*(-72*p**4 + 79*p**4 - 46*p**4).\nAnswer: -546*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210 - 210 + 171)*(-56*z**2 - 38*z**2 + 24*z**2).\nAnswer: -11970*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - (41 + -9 - -2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.009, -23, -0.1, 2\/17, 1\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 0*f)*(-16*f + 26*f - 21*f) - 5*f**2 + 0*f**2 + 2*f**2 + (-2*f - 1 + 1)*(2*f - f - 3*f).\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (-1144)\/(-231))*(2 + 1). Let b(d) be the first derivative of 5 - 6\/7*d + 9\/14*d**2 - m*d**3. Factor b(a).\nAnswer: -3*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 97696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgggssgss. What is prob of picking 2 g and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:14 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 - p**4 + p**4 + (-p**2 - p + p)*(7*p**2 + 9*p**2 - 4*p**2).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5434.02um in meters?\nAnswer: 0.00543402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -81. Let h = 90 - k. Calculate the remainder when h is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22214403 and 44685?\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (6\/3 - -24). Suppose -2*n + 5*n - 6 = 0. Suppose -n*p - 2*t + 8 = 0, -3*p + 16 = -5*t - 4. What is the greatest common divisor of p and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 10191 = -2*t - 10181, 22 = 2*t + 5*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3616798410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 4*k**2 + 7*k - 6. Let i be h(5). Suppose 6 = i*p - p. Suppose -c + p = c. Solve c = 4*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-14) - (-1 + 352\/(-7)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32558, -32583, -32608, -32633, -32658, -32683?\n\"Answer: -25*t - 32533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/((2 + (-2 - 2))*(9 + 803\/(-88))).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868439349?\nAnswer: 7, 17, 79, 233, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.9 + -8. Let d be (0 - 13\/(-3)) + 1\/(-3). Which is the third smallest value? (a) 0.04 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -158.2. Let a = 3.2 + b. What is the second biggest value in a, 0, 0.04, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249742.\nAnswer: 2, 193, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from iipippiiip.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -41*x + 41241. Give t(1006).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.367 from -539.47.\nAnswer: -539.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/2*4\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/2 + 24677*x**2 + 98716*x = 0.\nAnswer: -4, 0, 49358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15309032?\nAnswer: 2, 43, 191, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, w: 1, i: 1, p: 1}. What is prob of sequence pis?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*l - 1341, -3*l + 6*l + 542 = 2*z. What is the highest common factor of 106 and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**6\/120 - c**5\/10 - 7*c**4\/24 - 13*c**3\/6 + 13*c**2. What is the units digit of q(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70410581 to the nearest integer?\nAnswer: 8391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k**2 - 71*k - 4. Let i(d) = -14*d**2 + 75*d + 5. Determine -5*a(c) - 4*i(c).\nAnswer: -14*c**2 + 55*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 1 l when three letters picked without replacement from asaml?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2 + -2 + (-2)\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 15 - 21 = 0. Let z be (-12)\/l*(-3)\/(-2). Let t(r) = r**2 + r**2 - r**z. Let b(f) = -2*f. What is b(t(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 9, 10, 9?\n\"Answer: -n**2 + 6*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3085.\nAnswer: 4\/3085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2717495 by -49409.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 + 1602640*y**2 - 4807934*y + 3205292 = 0 for y.\nAnswer: -801323, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*l - 11 = 3, -16 = -3*k - 4*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.19 - -5.59. Put i, -345, -2\/7, 5 in increasing order.\nAnswer: -345, -2\/7, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((11 - -1)*(100\/15 + -6)). What is the closest to -1 in 1, -10\/7, b?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -3)*(-2)\/4. Let r be -2*(c\/14 + (-122)\/28). Solve 27*o - 24*o + r = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 1 w when three letters picked without replacement from {h: 2, z: 2, w: 2, i: 2, k: 3, p: 4}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 + 2*d - 4. Let l = 2 + -2. Let m = l + 4. Let x be s(m). Solve 5*u = -x*t + 16, -5*t + 3*u - 7 = -10*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 1.3. Suppose -5*p - 105 = 5*a, -4*p - 24*a = -29*a + 129. What is the closest to z in p, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72365959 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let d(n) = -n**2 - 3*n + 3. Let z be (4\/8)\/((-2)\/(-4)). Calculate z*d(u) - 3*f(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 13) to base 3.\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + 75404.\nAnswer: 75404.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/31)*d**(-8) assuming d is positive.\nAnswer: d**(-250\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/(y\/(y*y*y*y**(1\/13))))**(-49)\/((y\/(y*y**(-1\/4)))**(-22)*y**(-3)\/(y*y**7\/y)) assuming y is positive.\nAnswer: y**(-13709\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 - 14327854?\nAnswer: -14328268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5730 = -5*a - 5*d, 2*a = -2*a - 3*d + 4581. What is the remainder when a is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g - 5 - 1)*(5 - 1 - 3)*(-1 - 9 + 4).\nAnswer: 12*g + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, 3, 2, -5, 7, 9 in descending order.\nAnswer: 9, 7, 4, 3, 2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.292261837 rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/496 and 181\/120.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2533 + 2542. Solve -3*z - i = 3*p, -3*z - 1 = -6*z + 2*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -4 + -1 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 less than -162?\nAnswer: -162.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + i**2 + i**3 - 6*i**2 + 5*i**2 - 1 in the form t + k*i**3 + c*i + d*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13095, 4, 1\/6, -8 in decreasing order.\nAnswer: 13095, 4, 1\/6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 - 16*y\/3 + 82\/15.\nAnswer: -2*(y - 1)*(y + 41)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -7.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = s + 2*s + 17, -3*g - 4*s - 8 = 0. Let p be (-3)\/(-1 - 7\/g). Let y(t) = 2*t - 6. Let n be y(p). What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) -0.03 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.01, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkskkkkkkkkk. What is prob of picking 3 k?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*r - q, 0 = -7*r + 2*r - 3*q + 43. Suppose 2*x = -k + 12, -3*x = 3*k - r*x - 14. What is the fourth biggest value in k, 0.3, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**39\/(q**(-1\/3))**(-23) assuming q is positive.\nAnswer: q**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 - 2*b**3 + (0*b + 3*b - 2*b)*(-2*b**2 + 2*b**2 + b**2) + 1 - 3*b**3 - 1)*(836*b - 4 - 2 + 124*b + 4).\nAnswer: -3840*b**4 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1004 - 1007 + 2*a**3 + 179*a - 3*a**2 - a**2 + 3015 - 1002 to the form g + c*a + y*a**3 + m*a**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 3*a + 1. Calculate l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2 + 895*r + 900 = 0. What is r?\nAnswer: -1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/70*(-8)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2056227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - d)*(4 - 4 - d) + (d - d - 2*d**2)*(-5 + 11 + 4) - 3 + 3 - 2*d**2 + (0 + 0 - 2*d)*(-5*d + 4*d + 3*d).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, -2\/41, -1\/19, -5, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8548, -3, -5, 163 in decreasing order.\nAnswer: 163, -3, -5, -8548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.274109 times 1.91?\nAnswer: 0.52354819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 81840000 to the nearest one million.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19112 + -10405. Suppose 29*n - 2*i - a = 24*n, -5233 = -3*n - i. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092, 2176, 3256, 4332, 5404, 6472, 7536?\nAnswer: 8596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g - 75*g - 19*g - 20*g - 8*g.\nAnswer: -150*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -485.01, 38\/5, 3?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222000211121121 + -11?\nAnswer: 10222000211121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2390038 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17603187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.055032 and 0.123.\nAnswer: 0.006768936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88*t**3 + 4486067*t**2 + 22581054*t + 764595.\nAnswer: (t + 5)*(t + 50973)*(88*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/((-15)\/(-5)) + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 873, 871, 869?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -835 - -814. Let b(p) = -5*p**2 - 109*p - 27. Does 19 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + 6 + (-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.63649 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151990130 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 55, 84, 137, 220, 339?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3. Suppose 9 = -3*x + l - 6*l, 0 = -4*l - 12. Let a(t) = x - 2 - t - 7. Let p be 5*1\/2*2. What is p*u(o) + 2*a(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n + 30 - 67 + 28 to the form a*n + y and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -13*n**3\/2 + 19*n**2\/2 - 10*n. Is y(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147*v**2 - 2124*v**2 - 4*v + 4*v.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 + 234*d**4 + 3861*d**3 + 3630*d**2 = 0. What is d?\nAnswer: -55, -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86946919303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2. Let z(b) = -238092*b**2. Calculate s(z(u)).\nAnswer: -396814603248*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29*-5*1\/(-5). Suppose -32*d + 9 = -f*d. Solve 0 = -y + 3*g - 13, -5*g + 26 = -d*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*d + 2, 5*d + 2*n + 15 = -3*n. Let w = 5 + d. Suppose w*i - 5 = 10. Let o(f) = f**3 - 6*f**2 + 4*f + 2. Calculate o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3215994 divided by 3.\nAnswer: 1071998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y + 7. Let h be v(5). Is 470\/8 - (-3)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 24 = 35*x. Suppose 4*y + y + 20 = 0. Let b = y - x. Solve -2*q + 12 = b*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290400941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*q + 4 - 1.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/45*9\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.07 - 0.07. Let n = -3.969 + -1.031. Which is the second biggest value? (a) -1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = x, -3*o = -4*o + 3*x + 6. Is o\/2 + 78\/4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2)*n)**(-14)\/(((n\/(n**(1\/4)*n))\/n*n)\/n*n**3) assuming n is positive.\nAnswer: n**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176597 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.103, -29, -2, 2\/3?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-8)\/6. Suppose 51 = -f - x*a - 73, f = -a - 122. What is the common denominator of ((-6)\/f)\/(2\/14) and 59\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**2 - 5*l - 11. Let f be 4\/(-3)*9\/(-2). Let v be f\/(-9) - 62\/6. Let q(h) = 5*h**2 + 2*h + 4. Determine v*q(d) - 4*j(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95490163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n - 2. Suppose t = 5, 0 = -17*m + 21*m + t - 9. What is d(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*w - 77*w + 55150. List the prime factors of w.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6784 + -6784.1. Suppose 6*h - h - 26 = 2*g, -5*g + 5*h - 35 = 0. Which is the biggest value? (a) l (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53 - -269c6?\nAnswer: 26973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0568 times 28.4\nAnswer: -1.61312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 56. Suppose r = -2*k + 76. Calculate the highest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/4 + 4\/(-16). Let m be (-17 + 13)\/(-5 - c). What is l in 0*l - 2\/3*l**4 + 2\/3*l**2 + 2\/3*l**5 + 0 - m*l**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(125) + -1) - sqrt(125)) + (sqrt(125) - sqrt(125)*1*1) + sqrt(125))**2 + (-2*1*sqrt(125)*-1)**2.\nAnswer: -10*sqrt(5) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2353144 by 588286.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 423 - 423.1606. Let m = c - -0.16. Round m to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and 312568 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 + 137 + 318 = 139*m. Calculate the highest common factor of m and 981.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 234572789*u**5 - 397563270*u**2 wrt u.\nAnswer: 14074367340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117792821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {o: 3, s: 2, t: 4, u: 1, z: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + u + 2 = 0, 4*n - 7 = -u + 6. Suppose -2*o + 3*d = -n*o - 4, 5*o - 2*d - 48 = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -657549 divided by 13.\nAnswer: -657549\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -826\nAnswer: -247.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 6\/17, 4\/7, -5?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/5 + 22*f**3\/5 - 52*f**2\/5 + 32*f\/5 = 0.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117607 (base 8) to base 12.\nAnswer: 1b773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 18398107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4681612 and 5401860?\nAnswer: 70224180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2216 and 1108?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44040.\nAnswer: 2, 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155*(-498)\/(-488870) - (-526)\/38?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**3\/5 - 33*k**2\/5 + 52*k\/5 - 12\/5.\nAnswer: -(k - 1)*(k + 6)*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 5*k + 3. Let x be v(4). Let m = x - -14. What is the derivative of -4 - 3 + m*p**2 + 8 wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -594 + -1?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*g + 39 = 0, -3*z + 0*z + 12 = -2*g. Let s = -30 + 29.4. Let l = s + 0.8. Are l and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 - 10766*g**2 - 7*g - 13225.\nAnswer: 6*g - 21532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.87 + 2.9. Let s = m - -0.97. Sort -0.2, -3, s in ascending order.\nAnswer: -3, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1433 and 32\/5.\nAnswer: 7165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - s. Let m be b(-1). Let y(p) = -5*p. Calculate y(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*z - 16111991, 7*x + z = 4*x - 12084003. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5922 - 27163 = 0. Suppose -s + 665 = -24*l. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 8. Let p be d(-8). Let g = 1\/287 - -6\/287. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 + 19. Let b be l(0). Suppose -v - 4 = r, -1 - b = 5*v + 3*r. Let a = 6 - v. What is the least common multiple of 22 and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*y - 21, 5*y - 25 = -13*g + 12*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 19*p - l, -5*p - 5*l + 18 = -12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -m - s, 4*m + 3*s - 18 = 0. Suppose m*x - 3*x = 57. Let p = -11 + x. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxsxsusssxsxxxxxxxs. What is prob of sequence ussx?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f + 4. Let t = -12 + 17. Suppose -t*u - 5 = -10. Let k(i) = i + 1 - i - i. What is u*x(m) - 3*k(m)?\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3546330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.1 + 2.1. What is the third biggest value in -4, h, 4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 260*p + 2 + 2 - 261*p. Let m be ((-10)\/6)\/((-2)\/6). Determine a(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936281 divided by 4.\nAnswer: 936281\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 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: Simplify sqrt(70)\/(sqrt(640)*-2).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**5 + 85*y**4 - 515*y**3 + 1355*y**2 - 1480*y + 560 = 0.\nAnswer: 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78791*g**4 + 0 - 78785*g**4 + 2552*g + 0 + 5080*g)*(1 - 1 + 2).\nAnswer: 12*g**4 + 15264*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 2*k**6\/15 - 18*k**5\/5 + 17*k**4\/3 - 598*k + 1. Find d such that a(d) = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 30358, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 733285346 and 4.\nAnswer: 2933141384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 82. What is the remainder when 86 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjjbvvbqvppiq. Give prob of picking 1 j and 1 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 + -58)\/((-5)\/1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280 is divided by 327?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(21\/(-2)))\/(2\/(-9)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3083, 3085, 3087, 3089?\nAnswer: 3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 6. Let t = 261.6 - 262. What is the third biggest value in a, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/5)\/4 + 138\/390. Which is the nearest to 1? (a) -17 (b) w (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 + t. Let s(j) = j**2 - j + 1. Let v(p) = f(p) - 3*s(p). Let y be v(3). What is the tens digit of (-1)\/(1 - y\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 20. Solve 2*r + 0*r - q - 10 = 0, 4*q = -n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.48376 millilitres?\nAnswer: 0.02448376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-40)\/(-44))\/2*-2).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(2*sqrt(3))*6.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*u = -78, 26*h - 291 = 23*h + 16*u - 6*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2392*p - 115. Let a(q) = -42*q - 2. Calculate -115*a(u) + 2*h(u).\nAnswer: 46*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2435041, 4870087, 7305133?\nAnswer: 9740179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -f + 173 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494765589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 572, 2400, 7298, 16802, 32448?\n\"Answer: 256*a**3 - a**2 + 39*a + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -57, -53, -27, 27, 115, 243, 417?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 8*v + 16. Let x be s(-4). Solve -2*r + r + 5 = x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + (-5 - -5 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.195 - -1.535. Let c = t - 1.53. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1659, 2086, 2797, 3792?\nAnswer: 5071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*q = -15*g + 311*q - 94, 4*g + 12 = -q - 11 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*i - 4*l, i - 952*l = -948*l - 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q - 421. What is r(42)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + p**2 - 2*p + 1. Let x be m(1). Suppose -3*w - 2*r + 2 = 0, -4 = -0*w + 4*w - 4*r. Solve -1 = -i - x*a, -2*i + 2*a + 15 - 1 = w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2071*k = -2*n - 2*n - 2072*k + 40, -84 = -3*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19722628 to the nearest integer?\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -218b90 (base 15) to base 9\nAnswer: -3006350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v + 15, 2*x + 2*v = 2. Suppose x*h = 2*p + 6, 3*p + p = -2*h + 18. Solve h*o = -5*a - 20, 0 + 23 = -3*a - 4*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*k - 27030, -x - 4*k - 452 + 5888 = 0. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3 - 46*b - 356 with respect to b.\nAnswer: 3*b**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let c(y) be the second derivative of 0*y**3 + 1\/6*y**4 - 33*y + 0 + 0*y**2. Determine o(c(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 144 + 1 - 25 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = -c. Let h be 16\/7 - 30\/105. Let k be c - -3 - h\/(-2). Solve -x - p = -2*x - 1, 4*p = k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2*t**2 - 2*t**5 + (-2*t**3 + 0*t**3 - 2*t**3)*((0*t**2 - t**2 - t**2)*(2 + 2 - 6) - 4*t**2 + t**2 + 5*t**2 + 5*t**2 - 10*t + 10*t).\nAnswer: -46*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*r - 195. Let i be 12\/7 + (-130)\/r + 4. Let k be (-3)\/(-4) + 143\/44. Solve -i*s + 3*s + k = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 9*m**2 - 9*m - 4. Let p be h(-8). Is 4\/(-16) - 11\/p - -62 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55 from 2.976989.\nAnswer: 57.976989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6563991?\nAnswer: 3, 7, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(-2)\/k))\/(k**(2\/7)\/k*k)*((k\/k**(-2\/7))\/k)\/(k\/k**(-2\/5))*(k**(2\/5)*k*k)**16\/(k*k**(-3)*k\/k**(-6)) assuming k is positive.\nAnswer: k**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2088 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -7\/6, 14 in increasing order.\nAnswer: -7\/6, -2\/11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 11. Suppose 70 = -c*f - 0*f. Is (-746)\/f + 6\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16191)\/35*(-250)\/150 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**2 - 50000*x + 49965. Let j(m) = m**2 - 6250*m + 6246. Let b(q) = -25*j(q) + 3*w(q). Solve b(p) = 0 for p.\nAnswer: -1251, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1867 - -8?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11*b**(4\/7)\/b)**(-1\/28) assuming b is positive.\nAnswer: b**(-37\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*s + 4 - 1 = 0, -2*o - 4*s = -4. What is the first derivative of 1 - 5 + 14*h**o - 19*h**4 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6213205*i**3 - 5*i**2 - 96958642 wrt i.\nAnswer: 18639615*i**2 - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 33) + 6 + -139 + 7 + -7\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f - 4*v + 33, -2*f + 27 = -3*v. Let i(o) = 3*o + 34. Let g be i(f). Let r(w) = -33*w - 26*w + g*w. Let z(b) = 2*b + 17. Give r(z(d)).\nAnswer: 4*d + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007235962 rounded to 6 dps?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*n**2*z**2 - 4*n**2 - n*z**2 + n*z - 1062*z + 2 wrt n.\nAnswer: 20*z**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3 - (sqrt(80) + -5))**2 + -1.\nAnswer: 12*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382 - 260. What is the lowest common multiple of p and -2 + -6 + 12 + (-10)\/(-2)?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 3 = -s. Is 13 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1381 + 0.1281. Which is the fourth smallest value? (a) f (b) -1 (c) 13 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 678 and 242221263?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 182403 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -605 + 677. Suppose 3*p = -d + 208, b = p - d + 4*d. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 10. Let h be k(4). Let z = -10 + 18. What are the prime factors of z*h*(-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195380 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 156?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 - (-592)\/9. Suppose 6*y + y = -217. Let r = y - -53. What is the greatest common divisor of m and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2393*x - 6. Let k(u) = 10076939*u - 25267. Calculate 25267*b(y) - 6*k(y).\nAnswer: 2297*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66173 - 66173 + 1005*l**2.\nAnswer: 1005*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20063\/1941 + 2\/647. What is the common denominator of -37\/27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 541 (b) -4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6619 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20138 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 46*r + 649. Let x be y(-14). Let z(p) = 7*p + 9. Let a(j) = 6*j + 10. Give x*z(w) - 6*a(w).\nAnswer: -w - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 + 9835.\nAnswer: 10135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 557326 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 14 = 4*y, 2*y + 1 = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 781 - 781.8. Put 12, m, 3\/8 in decreasing order.\nAnswer: 12, 3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 4*v + 5. Let r be n(4). Suppose -12 + 27 = -r*p. Sort 0, p, 2, 4 in decreasing order.\nAnswer: 4, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 12}. Give prob of picking 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6863.\nAnswer: 4\/6863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04045328 and -0.04616077.\nAnswer: -0.00570749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 4413. Let x(p) = -p**2 + 3310. What is -14*l(v) - 19*x(v)?\nAnswer: 5*v**2 - 1108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -4\/3, -707?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/42552*(-1458)\/(-810)?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:15 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 589\/(-228) - 5\/(-20). Which is the closest to 1? (a) -0.3 (b) -0.1 (c) -0.4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510202 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5.0244.\nAnswer: -4.0244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 5*d - 2. Let p be z(4). Let m(i) = -i - 4. Let r be m(-6). Let h(n) = 2 + r*n - 5*n + 2*n + 3*n - 2*n**2. Give h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12740854 a multiple of 799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 1 - (0 + -8*1). Which is greater: z or 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 2*a, -4*a = -5*a + i + 22. Suppose 5*u = -5*b + 55, -6*u + 29 = -3*u + 5*b. Find the second derivative of a*f**4 - 6*f**4 + 4*f + u*f wrt f.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3, b - 3*x - 2*x = 7. What is the second derivative of 25 + 2 - 49 + 90*o**b + o - 27 wrt o?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -6721.3\nAnswer: 6721.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8506, 8492, 8468, 8434, 8390, 8336, 8272?\n\"Answer: -5*s**2 + s + 8510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 486, -1, -17, -13 in increasing order.\nAnswer: -17, -13, -1, 0, 4, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 204134431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrddkrdjkr. Give prob of picking 1 r and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-112)\/77)*-2)\/((-1)\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-130)\/24*(-198)\/(-45) and 51\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0 + 1)*56. Find the common denominator of ((-35)\/s)\/((-3)\/44) and ((-94)\/(-36))\/(4\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(-4) + (-18)\/24. Let u(t) be the first derivative of 0*t**3 + 2 + 0*t + 0*t**4 - 1\/2*t**2 - 1\/5*t**j. Find the second derivative of u(l) wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 + 2 + (14 - 14). Solve w*v = 2*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 4*k**2 - 3*k + 3. Let a be o(3). Suppose a*x = -0*x + 147. Let v be ((-7)\/(-2))\/((-3)\/(-6)). Calculate the highest common factor of x and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q + 0*q)*(-3 + 3 + 2*q**4) + 2*q**4 + q**5 - 2*q**4 - 175*q + 39*q - 1130*q**4 + 1123*q**4 - 5*q**5.\nAnswer: -2*q**5 - 7*q**4 - 136*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-30)*4 + 84\/35. Solve -s*h + 20 = 4*p, -h + p + 4 - 9 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3650.687458 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10165752187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131*g**2 + 14*g**2 + 15*g**4 + 81*g**3 - 10*g**2 + 18 - 31*g + 118*g.\nAnswer: 3*(g + 1)**2*(g + 3)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-1 + (-3)\/(-9)). Let y(q) = 4*q - 18. Let n be y(t). Let d be (-100)\/(-320)*n\/(-10). Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 150*p**2 + 4*p + 7. List the prime factors of n(4).\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((4 + (sqrt(245) - (sqrt(245) + -2*sqrt(245))))*-2)**2 - (6*(0 + sqrt(245)))**2*2).\nAnswer: -13654 + 448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.36? (a) -5 (b) 1 (c) 3\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1046981*a. Let o(l) = l**2. Calculate h(o(y)).\nAnswer: -1046981*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -1833, 0.02, 67, -1, 0.4?\nAnswer: -1833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13028?\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-10))**(-13))**(-23))**45 assuming g is positive.\nAnswer: g**(-134550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9920\/333, -2\/3, 1\/2, 0.3.\nAnswer: -2\/3, 0.3, 1\/2, 9920\/333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 8\/4 - (2 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 219*x**3 + 6*x - 2. Let s be k(4). Let w = 7145346\/509 - s. Let c = -7090\/4581 - w. Find the common denominator of c and 53\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*j**3 + 30*j**2?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.486142 grams in tonnes?\nAnswer: 0.000007486142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eej when three letters picked without replacement from jejjjeejjje?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 - 2. Let z be r(-6). Let l be (z + 15\/6)*0. Let o be -1 - ((-8)\/4 + l)*72. What is the greatest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -4 (b) -3 (c) -402\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 39 - 82 - 4*m)*(-2*m**4 + 2*m**4 - m**4).\nAnswer: 4*m**5 + 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l*s**3*z**2 - 79832*l*s**2*z**2 + 4*s**3*z**2 + 5*s**3*z - 480*s**3 + 75 wrt l?\nAnswer: 7*s**3*z**2 - 79832*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 1, y: 5, v: 1, z: 1}. Give prob of sequence vx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.265 + -18459?\nAnswer: -18458.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 + 1801365*t**2 + 270266389869*t - 43017908356773 = 0.\nAnswer: -300307, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1556, 2520, 2888, 2660, 1836, 416, -1600?\n\"Answer: -298*g**2 + 1858*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - n - 3*n + (1 + 2 - 4)*(n - 3*n + 1 + 3*n).\nAnswer: -9*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 26. Let a be (-75)\/(-1125) - (-1798)\/30. Suppose -i + a = -u. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 3. Determine t(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjeeyyye. What is prob of sequence ejee?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7578333 and 945?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 + 6*y**2 + 5*y - 3. Let j(m) = 8*m**3 + 13*m**2 + 11*m - 7. What is -9*i(x) + 4*j(x)?\nAnswer: -4*x**3 - 2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 539*l**5\/20 + 703*l**4\/12 + 2*l - 446. What is the third derivative of w(x) wrt x?\nAnswer: 3234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/18)\/(12\/9). Let n be 20\/(-90) + 0\/2. Which is the nearest to n? (a) 4 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -5*i - 60*f + 45, -111*f = -5*i - 107*f + 45 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5613293 divided by -16?\nAnswer: 5613293\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (28\/49 + 9\/21). Let k(o) = 2*o**3 - 2*o**2 - o + 7. Calculate the smallest common multiple of k(r) and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000042885 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126620?\nAnswer: 2, 5, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33168 - -8d?\nAnswer: 33206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131520.\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111013012 (base 4) to base 10.\nAnswer: -610758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(-6)*q**4*((q**(-1\/2)*q)\/q*q)**(-9\/7)*(q*q**(2\/3)*q)**25\/((((q**4\/q)\/q)\/q)\/q**(2\/9)) assuming q is positive.\nAnswer: q**(9733\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkkkktdttdrrdtt. What is prob of picking 1 d and 1 r?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (16 - 14) + (5 - -2) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*u + 5299 = -557 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 4389?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 11:20 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*a - 108*a - 61*a - 143*a - 154*a as f*a + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i + x, 0*i - x = 3*i - 3. Let v = 79 + -77. Suppose -6 = -i*s - v*s. Solve s*a = -3*h + 15, -h + 2*a + 25 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 0*c**2 + 0*c**2 + (-90*c + 48*c - 350*c)*(-4*c + 2*c + 4*c) to the form l + r*c**2 + x*c and give r.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 + 2*s - 1. Does 3 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.3. Let f = -0.66 - 0. Let l = f + -0.34. Which is the nearest to l? (a) -0.4 (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4797 = -162281*n + 162398*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -33*y**3 - 8*y**2 - 96*y. Let f(g) = -22*g**3 - 5*g**2 - 64*g. Let s(b) = -8*f(b) + 5*j(b). What is the second derivative of s(o) wrt o?\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22416 (base 7) in base 14?\nAnswer: -210d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 28 = 2*a, -82 = -4*l + 2*a. Suppose 2*y - 21 - 3 = 0. Calculate the lowest common multiple of l and y - (-1)\/(-1)*-2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5 - 11810745*z**4 + 11810765*z**3 + 35432225*z**2 - 59053740*z + 23621500 = 0.\nAnswer: -2362150, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1 (b) 3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83872389?\nAnswer: 3, 27957463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 186 - 68?\nAnswer: 11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**3 + 59*a**2 + 26*a - 7. Let o(w) = -5*w**3 - 30*w**2 - 13*w + 3. Let q(h) = -2*m(h) - 5*o(h). Find the second derivative of q(d) wrt d.\nAnswer: 18*d + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001728588706 to seven decimal places.\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 141*p + 26*p)*(-1 - 2 + 2).\nAnswer: 109*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 52 - (-1 - -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in 5.2, -1, 5\/2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 + -0.02. Let h = 0.4 + j. Which is the second biggest value? (a) 2\/9 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5733240 divided by -7\nAnswer: 5733240\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1449 - 0.2449. Let t = -122 + 126. Which is the nearest to 1\/2? (a) 2 (b) m (c) 0.2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549274 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10844*t - 466288. What is x(43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + -2.2. Let y = -125 + 129. Put v, y, -2 in decreasing order.\nAnswer: y, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (0 - 6)) + (1162 - 1172)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:17 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 18*h**2 + 4*h**2 + 74.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*l**4 - 152*l**4 + 251*l**4 - 16*l**3 + 215*l wrt l?\nAnswer: 72*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3142162, 3142160, 3142158, 3142156, 3142154?\nAnswer: 3142152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -17*j**4\/6 + 9167*j**3\/6 - 252764*j**2 + 36304288*j\/3 - 218525440\/3 = 0.\nAnswer: 7, 1160\/17, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = 2*o - 6*f, 4*o - 4*f - 8 = 0. Is o greater than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -139. Let p = 91 + z. Calculate the smallest common multiple of 38 and p.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/3)\/(-4) - -5. Let h be (3 - -3)*1\/n. Suppose -32*u + 48*u = -80. Put u, 0, 5, h in descending order.\nAnswer: 5, h, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*-1)*6 - -2*2*sqrt(104))\/(sqrt(8) - (sqrt(8) - 1*sqrt(8)*-3) - (sqrt(8) + (sqrt(512) - (sqrt(512)*-1 - sqrt(512))))).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -939*r = -805*r - 1608. Let o(v) = -v**3 - 4*v**2 + v - 5. Let t be o(-5). Suppose 75 = 5*w + t. Calculate the highest common divisor of r and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:23 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002518235 rounded to 6 decimal places?\nAnswer: -0.002518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2168 and 53227110.\nAnswer: 212908440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p - 1. Let w(a) = -7*a + 1. Suppose -87*y - 14 = -89*y. Suppose -y*q + 2*q = 4*o - 35, -3*q = 2*o - 19. Determine o*w(m) + 4*v(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.66 + -26.9. What is the third biggest value in -1\/3, l, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxhg when four letters picked without replacement from uhgdx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**2*t**3 + 3*b**2*t**2 - 4*b**2*w - 47*b*t**3*w + 4*b*t**2*w - 2*b*w - t**3*w + t**3 wrt t.\nAnswer: -18*b**2 - 282*b*w - 6*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -2\/9, 6, 0.53, -1 in descending order.\nAnswer: 6, 0.53, -2\/9, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -75, -145, -203, -225, -187?\n\"Answer: 4*m**3 - 30*m**2 + 4*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 7:56 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z + 1668 = -30*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -144*p - 1162. Determine q(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = 0. Let s = -28 - -32. Suppose 2*j - y - 38 = -0*j, -s*j - 3*y + 76 = h. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*r - 2, 2*t - 3*r - 14 = -2*r. Solve -5 = -t*m + 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4952, 9979, 15006, 20033, 25060, 30087?\nAnswer: 35114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((35*42\/1029)\/(20\/84))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:15 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -3\/8, 3, 2\/5, -88, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-3)\/(-36)*-20. Suppose g*s - 74 = 3*h - 0*h, -s + h = -16. Suppose 321 = 14*z - s*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43027 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: Let b be 11\/(-22)*((-48)\/(-20))\/(-3). Let v be 9\/(-4)*(-3)\/27. Let j be 1\/6*10 + -1. Put b, -0.1, v, j in ascending order.\nAnswer: -0.1, v, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6.194, 1, 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-92)*(-22 + 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5458, 5439, 5418, 5395, 5370, 5343, 5314?\nAnswer: 5283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 - z**2 - z\/2 + 1.\nAnswer: (z - 2)*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 18*g**4 - 18436*g**3 - 4501466*g**2 - 3485876*g + 997136 = 0.\nAnswer: -203, -1, 2\/9, 1228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17922 is divided by 2694?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/9 + 2\/3. Let g be (-4)\/(2\/(-2))*f. Solve 4 = -g*b - 0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 + 6.3. What is the second biggest value in y, 1\/3, -2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4*(18 + -14). Let c be (g - (-1)\/5)\/((-8)\/(-20)). Let v = 27 - 15. What is the highest common divisor of c and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3*3\/(-3)*6\/(-216)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 2. Let h = -31 - -34. Suppose q + x = 2*q - 4, -x = h*q - 12. Give w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 16.96. Let u = 37.1 + 10.9. Let b = u + -43. What is the closest to d in 1, 2, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15387 divided by 1818?\nAnswer: -5129\/606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049158 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/((96\/60)\/(188\/(-5)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mycmcckkkykcmmc. Give prob of sequence kc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 8465*c + 211048. Determine j(25).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 379800 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*220.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31397106 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 1.4. Let d = -2 - -2.5. Let l = x + d. Sort l, 1, 2 in descending order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 0.3, 0.2, -104, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 0.3, -5, -7, 153, 105, 2?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 12 = 17*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17894\/9 + -1988. Which is the closest to 0? (a) 5 (b) j (c) -4 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1070*i**2 + 2*i**3 - 126 + 2*i**4 + 1070*i**2 as g + s*i + b*i**4 + l*i**2 + d*i**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19202 divided by -6.\nAnswer: 9601\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 3*r - 20, -17 = -u - 40*r + 37*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782 a factor of 548332759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1225 - 870. Let h = y - 138. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x + 7*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhasihhaaaha. Give prob of sequence ahsa.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 - b**5 - 2*b**5 + (-b + b + 2*b**3)*((3 - 3 - b)*(-2*b + 2 - 2) - 193 + 193 - 40*b**2).\nAnswer: -75*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1138 + -1120. Suppose 3*d + 150 = 5*x, -9 + 2 = -x - 4*d. What is the greatest common factor of x and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 - 16 = 0. Let y(x) = 5*x - 20. Let m be y(r). Suppose -272 = -m*d + 21*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/432*-8*(-56)\/(-245))\/((-15)\/(-25)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/22 (b) 5\/51 (c) 0.3 (d) -1 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1\/7 (c) -0.05 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Suppose -4*y - 4*i - 3 = 1, -y - 3*i - 7 = 0. Suppose 0 = -5*a + 5*m - 25, -3*a - 5*m = -4*a - 25. Solve x*p = -a*p - y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -35, -483, -2.9?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 126*o = 142*o + 60, -4*o - 20 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0*i**2 - i**2)*(3 - 3 + 2*i**2) + (-i**3 - i**3 + 4*i**3)*(3 - 3 + i) + 3*i**3 + i**4 - 3*i**3 - 13*i + 8*i**4 + 13*i.\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131523 = 254*h + 5*u + 130492, 3*h + 5*u = 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215040 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03369794082 rounded to six decimal places?\nAnswer: -0.033698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 2. Let c be (-24)\/11 - ((-204)\/33 - -6). Calculate r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.59201.\nAnswer: -1.18402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 - -1.64. Let s = -2 + y. Which is the second biggest value? (a) 5 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-13) + ((-282)\/(-26) - 5). Let m = -1.3 - -1.2. Put m, -1\/3, 4, l in increasing order.\nAnswer: -1\/3, m, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60970.38645 rounded to the nearest 100?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 426*v - 427*v = 11, -2*q - v - 8 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b + 10 - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5*i**3\/6 + i**2 + 59*i. Let y(v) = 2*v + 979 - 490 - 489. Determine x(y(h)).\nAnswer: 10*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245*w**4 - 3*w**3 - 2750*w wrt w?\nAnswer: -2940*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 2}. What is prob of sequence oz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 35, 9, -1, 5.\nAnswer: -57, -1, 5, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.53 times 57313\nAnswer: -30375.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000089207 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4221 - 1?\nAnswer: -4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/95161 and -57\/533?\nAnswer: 1237093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -808 * 3.3.\nAnswer: -2666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 10*k + 16. Calculate o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 267 (b) 3\/2 (c) 57 (d) -0.4 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 18 = 2*q - 11*s, 5*s + 30 = 5*q. Solve q = -22*w + 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118376 = -11*s + 1460376. Round s to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**(-2\/55)\/(b\/(b\/(b*(b**(1\/3)\/b)\/b))*b)**(-3\/10) assuming b is positive.\nAnswer: b**(7\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1832*b**2 + 86*b - 2.\nAnswer: 3664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733.8196 centuries to years.\nAnswer: 73381.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -19424, -2\/23, -3, 1\/2 in descending order.\nAnswer: 4, 1\/2, -2\/23, -3, -19424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 62, -11, -2, 0 in decreasing order.\nAnswer: 62, 0, -2, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 - -407. List the prime factors of h.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 274934*q**2. Let k(n) = 2871*n. Give v(k(m)).\nAnswer: 2266182260694*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334.23 + 337. What is g rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125*k**3 + 3 + 432*k**3 - 106*k**3)*(2*k - 4*k - k) as n + p*k + y*k**3 + b*k**4 + m*k**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 4, -5, -1, 7 in ascending order.\nAnswer: -5, -1, 4, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2803*j. Let s(k) = 580*k - 1. What is s(o(v))?\nAnswer: -1625740*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*g - 10*g + 278. What is the second biggest value in g, 3, -1.32, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 * -62904\nAnswer: 5975880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a - 1. Let n = 52 + -50. Suppose -n*u - 9 = 7*u. Determine d(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.17541 - -0.17541. What is the smallest value in -99, 3\/13, -0.3, w?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-306)\/24)\/((6 - -20)\/(-1872)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -95 times -136.9\nAnswer: 13005.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (161\/(-184)*36\/(-3))\/((-264)\/(-32)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 366 + -1465\/4. Sort -2, z, -7 in ascending order.\nAnswer: -7, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35669129*f - 21*f**3 - 35669129*f.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 4. Let w(r) = 1. Let u(s) = -b(s) - 4*w(s). Let z(t) be the first derivative of 29 + 0*t**2 - 16\/3*t**3 + 0*t. Give u(z(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 7549136.\nAnswer: -1\/7549136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**3 - 8*z + 11. Let c(v) = -v**3 + 3*v - 4. Let q(b) = b**2 + 10*b + 27. Let x be q(-6). Determine x*j(d) + 8*c(d).\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -111*i + 1. Let p be x(1). Let t be (p\/6)\/(-5) - 3. Let z = 1.94 - -0.06. Which is the nearest to -1? (a) t (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3200*y + 401. What is the tens digit of p(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 13*y**3\/3 + y**2 + 5*y + 11. Let a be i(-3). Let r = a + 95. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let v = 788 + -785. Suppose -35*h + 34*h = -m - 63, -319 = -5*h + v*m. What is the remainder when h is divided by r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 12 - 144 = 0. Factor 65*m**2 + 48*m + 2*m**3 + 17*m**2 - i*m**3 + 34*m**2.\nAnswer: -2*m*(m - 12)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-36)*(-18)\/(-90)*195.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -1, 2\/15 in increasing order.\nAnswer: -1, 2\/15, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.98222 rounded to two dps?\nAnswer: 42.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 37. Sort k, -4, -2.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 11) to base 2.\nAnswer: 100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmgfm. Give prob of picking 1 g and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.034, 0.4, -2162?\nAnswer: -2.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 at least -16504.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321230 (base 6) to base 14.\nAnswer: -97b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 212100120021 (base 3) to base 14\nAnswer: bd746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-12)*153\/(-54)*4. Solve 2*q - 5 = u, -p = -u - q - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86, 366, 834, 1490, 2334?\n\"Answer: 94*m**2 - 2*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3619715 and 3255.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3 + 0*w - 2*w - 5. Let k be u(0). What are the prime factors of 4\/3*(-33)\/k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 - 62*m - 532 = 0. What is m?\nAnswer: -7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1444091.586073 + 1444091. Let w = 0.586 + o. What is w rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -149. What is the third biggest value in 0.5, -3, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/36756 or -2\/3?\nAnswer: -1\/36756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -1)*-1)**2.\nAnswer: -24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v*v\/v**(2\/9))*v\/v**(-20))**(2\/13) assuming v is positive.\nAnswer: v**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0235 times -0.1?\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1323 divided by 6\nAnswer: 441\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*y + 37*y + 49*y**3 + (3*y**3 + 0*y**3 - 2*y**3)*(-2 + 4 + 0))*(-2*y + 4*y + 0 + 2) as k*y**2 + u*y**4 + s*y**3 + d*y + o and give u.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 448\/80*5\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**2 - 4*r**3 + 9*r**2 - r**3 + r - r + (17 - 17 - 13*r**2)*(-3 - r + 3).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26880 - -26873. Put 5, -4, -6\/11, t, 0.2 in descending order.\nAnswer: 5, 0.2, -6\/11, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 5. Let h = -1.173 - -0.973. What is the nearest to h in 0.4, 0.3, l, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (4 - (-16 + 4 + 4 - -16 - -4))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -117552\nAnswer: -1\/9796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -12, 2 in ascending order.\nAnswer: -12, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/5, 2, 4, -5.\nAnswer: -5, -1\/5, -0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1076 = -5*i + i, 4*m = 3*i + 1083. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, o: 13}. Give prob of picking 4 o.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 173 - 85 - 90 - 7*f**3 + 4*f + (4*f - 3*f + f)*(-f**2 - f**2 + 3*f**2) - 4*f**3 + 6*f**3 - f**3 as b*f + l*f**2 + r + p*f**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + 48. Let x be (-9)\/(-6)*b\/(-9). What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 50. Let c be -6 + -21 - (-1 - -1). Calculate the lowest common multiple of t and (-222)\/c - 2\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*s**3 + 14*s**3 - 10 - 36*s**3 wrt s?\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/z**(1\/2))\/(z**(-14)\/z)**18 assuming z is positive.\nAnswer: z**(2691\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-2)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/189)\/(-12*42\/27).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/4)*q*q\/(q**(-11\/2)*q) assuming q is positive.\nAnswer: q**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1621 divide 12091039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7554 - 7519. Calculate the greatest common factor of 10115 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1507523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/9 + 10036*q\/3 - 1237790\/9 = 0.\nAnswer: -15095, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*l - 52. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 3\/112*k**8 + 0 + 0*k - 3*k**2 + 0*k**4 + 11\/210*k**7 + 1\/60*k**6 + 0*k**5 + 0*k**3. Determine m, given that s(m) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16751.0971 - -16752. What is u rounded to 2 dps?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 4, 158, -3, 0.29 in descending order.\nAnswer: 158, 13, 4, 0.29, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1 + -2)*-7. Suppose 0 = -p*c + 3*c + 2416. Suppose 0 = 2*r + 2*i - 202, 5*r + 135 = 4*i + c. What is r rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 703 and 4636?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46105 divided by 9221?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 32*r**2 - 3*r - 105. Give y(-32).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54, 213, 638, 1461, 2814, 4829, 7638, 11373?\n\"Answer: 22*h**3 + h**2 + 2*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(((-496)\/(-310))\/(1\/(-3)))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130219.2 + -182.18.\nAnswer: -130401.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 10) to base 4.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 - d - 8. What is c(-3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 1548\/(-308))*7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*m - 13734 = 210*m + c, -3*c = -6. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76*1)\/4 + (-20439380)\/1076452?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**3 + 49 + 4*x**4 - 5*x**3 - 2*x + 8*x**2 - 49 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 3*v + 8*f, 59*v - 56*v = 3*f + 9 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 38*l**2 + 28*l - 24. Is k(-20) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - p - 9893, 16479 = 17*a - 12*a - 4*p. What is the remainder when a is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esu when three letters picked without replacement from {u: 1, g: 2, s: 4, j: 2, e: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 4\/11 (b) 4 (c) -0.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5 - 382*j**4 - 11954*j**3 + 39622*j**2 + 11952*j - 39240 = 0.\nAnswer: -30, -1, 1, 3, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 17*d**2 + 25*d - 32. Let p = 300 + -284. Is 16 a factor of j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 6*d**3 + 530*d**2 + 1482*d = 0. What is d?\nAnswer: -13, -3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 - l**2 + l + 3. Let f be w(-1). Solve q = -f*p - 17, -4*q - 4*p = 5 + 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 1, d: 5, i: 2}. Give prob of sequence xid.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -7, -0.3, -8, 1\/7 in increasing order.\nAnswer: -8, -7, -5\/6, -0.3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002785 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, and 2 s when four letters picked without replacement from apszisarssiipiispspa?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfh when three letters picked without replacement from hyaacyhadfdhyhh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m - 6. Let d(n) = 14*n + 17. Let j = 8 - 19. Suppose 10 = -5*l - 10. Determine j*x(c) + l*d(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1104\/(-414))\/((-16)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3470319 to the power of 1\/2, to the nearest integer?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let x(w) = 15*w. Let l(k) = -33*p(k) + 2*x(k). Let y(j) = -9*j + 4. Let r(s) = 25*s - 11. Let u(o) = 4*r(o) + 11*y(o). Give l(u(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:18 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -257, -255, -253, -251, -249, -247?\n\"Answer: 2*n - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-605)\/33 + 18)*8.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = 4*a + 7, a - 74 = -5*l. Let h = -10 + l. Let j be (-16)\/(-40)*(-2)\/h. What is the third biggest value in -5, j, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-473 - -458) + (-121)\/(-8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570800 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 - 4*g. Let y be d(-3). Let l = 23 + 1. Suppose -l*r + 10 = -26*r. Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let x = -7 - -5. Let v(o) = o + 4. Let a be v(x). Let q(k) = a*k - k - 3*k. What is m(q(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*g = -108*g + 64*g + 203 + 101 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -43. Let g(o) = o + 3. Let b be g(l). Suppose 2*z - 5*w + 13 = 0, 5*w - b*w = 2*z + 3. Solve -u - z = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-297))\/((-1474)\/8107).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + l + l + (-3*l + l - 2*l)*(-3 + 4 - 2).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 112572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -322.1 in 3, -6, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12))**(-50)\/(o**4\/(o\/(o**33*o)*o)) assuming o is positive.\nAnswer: o**564","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + c**2 + 4*c**2. Let m be (6\/3)\/(-3 + 4). Let q(d) = m*d - 2*d + 3*d - 2*d. What is q(h(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 48694747.65 to the nearest 100000.\nAnswer: 48700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.37 + 3. Let q = 0.09 + -0.02. Let u = s + q. What is the second smallest value in 1\/4, u, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + 5 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -68*m**2 + 4*m - 10. Let q(u) = -70*u**2 + 4*u - 11. Calculate -9*k(x) + 8*q(x).\nAnswer: 52*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*4*3\/(-72)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from {i: 1, n: 2, w: 7, p: 2, e: 6, h: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 8, h: 2, q: 2, w: 1, g: 2}. Give prob of picking 1 y and 2 h.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -74. Solve 2 = q - d - 4, 2*q = d + s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-5 - (2 + -13) - 6) + -27).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -969, -3432, -5895, -8358, -10821?\nAnswer: -13284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + w - 3)*(-2*w + 2*w + 2*w**2) - 37*w**3 - 17*w**3 + 3*w**3 as x*w**2 + h*w**3 + d*w + p and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -z - 56 + 38, -2*z - 5*u + 104 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*o - 121*o - 133*o - 301 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*c - 76226 + 8697 = -157*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1bac6 (base 14) to base 2\nAnswer: 10001010001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = 4*c, -4*r = -5*c - 28 - 10. Suppose -2*h - 610 = -r*h. Let z = h + -66. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5329 + 5329. Let k be (4 - 3)\/((-484)\/8). Is k greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3400 - -3?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 - 11*x - 13. Give i(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 3*z**2 - 3*z - 5. Let k be r(4). Let b = -320 - -374. Suppose -u - 5*d + 0 + 5 = 0, -2*u = -d - b. Sort u, -2, k in decreasing order.\nAnswer: u, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 8. Suppose 0 = 2*u - 2*v + 6, 3*v + 22 + 5 = -3*u. Determine f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r, 0*g - r = -g - 5. Find the second derivative of 31 + 191*s**3 + 2*s - 34 + g*s + 7*s + 7*s wrt s.\nAnswer: 1146*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 14*v + 55 = 8*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = o + 2*o - 21, -4*o = 3*s + 1. Let z = s + 13. Suppose z*c - 19 = 21. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43773553163 + 43773553163 + 3*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1925 by -7.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4743 - 1125?\nAnswer: 3619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(8) + 2 + (-3*sqrt(8)\/sqrt(4) - (0 + sqrt(200)))**2 + 3.\nAnswer: 2*sqrt(2) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 163 = i - 5*x, -4*x = -4. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 18*a - 47. Let m be t(-11). Suppose r - 5*z = -7*z + m, 0 = -5*r + z + 150. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 72*c**2 + 128*c - 1607. What is y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/12*1*-44*210\/(-1540).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1)*t)\/t))\/(t\/t**(1\/3)))**(7\/2) assuming t is positive.\nAnswer: t**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 16*j - 1. What is v(-4)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -225395, -225385, -225371, -225353?\n\"Answer: 2*a**2 + 4*a - 225401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -m - 31, 26*m - v = 42*m + 55 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**3 + 0*l**6 + 11*l**2 + 23\/30*l**5 - 1\/35*l**7 + 0*l**4 + 0 + 0*l. Find the third derivative of m(n) wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 6*a + 4. What is n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqgqqq. What is prob of picking 3 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 2*j + 6. Let n(r) = -6 + 11 - 4 - 2 - r**2. Let t = -15 + 9. Give t*n(w) - g(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122697\/13 - 9433. Which is smaller: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - k + 1. Let n be c(1). Suppose n*a - 10*a = -184. Calculate the highest common factor of 161 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460 - -746. Suppose 0 = 5*g - 4*q - o, 0 = 3*g + 3*q - 144 - 33. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (405\/25 - -3)\/(1\/225). Suppose 0 = 20*j - 25*j + c. Is 48 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19511 - -0.1769475. What is k rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -47. Let z = r + -10. Suppose z*v = 2632 + 341. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t**2 - 6*t + 3. Let p(w) = -4*w + 3. Suppose 58 + 14 = 24*k. Let m(d) = k*p(d) - 2*v(d). What is m(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343 + -411. Suppose -5*v + 0*v = 85. What is the common denominator of 5\/21 and (v\/r)\/(18\/548)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36808319 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 209*t**2 - 16929*t - 6. Give v(81).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 17*v**2 - v - 16. Let n be w(-17). List the prime factors of ((-4)\/(-8))\/(n - 63\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/4)*g)\/(g\/(g\/g**(-3))*g))\/(g**(2\/5))**40)\/(((g*g\/g**(1\/2))\/g)**10*g*g\/g**(-4)*(g*g*g*g*g*g**2\/g*g*g)\/g) assuming g is positive.\nAnswer: g**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4297438?\nAnswer: 2, 2148719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 5*n - 2*c + 12, 4*c - 38481 + 38477 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unquuuumutuuqqluuu. What is prob of picking 2 u and 1 l?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, l: 2, u: 2, w: 8, b: 2, r: 2}. Give prob of sequence xul.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/54)\/(40\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourteeen ninths of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -4*o**3 - 21\/4*o**4 + 0*o**2 + 20 + 0*o. Find the third derivative of k(s) wrt s.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -11) + -18 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000603 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/6230703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -557?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12.6. Let y = -5.6 + x. Let d(i) = -i**3 - 3*i**2 + i - 9. Let s be d(-4). Which is the nearest to y? (a) -0.2 (b) -35 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/((-966)\/(-20))*6\/(-4).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*y - 4 - 7 = 0, u + 2*y = -7. Let x(m) = -7302*m - 5. Let h be x(u). Let k = h + -233577\/32. What is the common denominator of k and 47\/6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9 = 4 - 25 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.5 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, -4, -5 in descending order.\nAnswer: -4, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8164431 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/15 and 53\/151763667.\nAnswer: 758818335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/220629 and -5\/514801?\nAnswer: 1544403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/793 - -61079\/2379. Let k = 25 - l. Which is the smallest value? (a) -1\/3 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35455 + -20474. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36792 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: Is 36544819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15949*z = -15944*z - 2*j + 19, 4*z - 3*j + 18 = 0. Let r(n) = -2 + 6*n + 3 - 5. Calculate r(z).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 2494c?\nAnswer: 24963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-15))\/(-1)*(-69)\/46\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 503\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -377 - -261. Let x = a - -167. Let s = 51.0000043 - x. What is s rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -0.4, -0.3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11260729 to the nearest integer?\nAnswer: 3356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/7 (b) 25 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 177.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*u - 96*u = 3*c - 41, 0 = -3*u + 5*c + 14. Solve -4*n + 0*n = -3*k - 6, 0 = 5*n - k - u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1449, -1766, -2087, -2412, -2741?\n\"Answer: -2*v**2 - 311*v - 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 21.22.\nAnswer: -21.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 + 9 + 106*b - 1 + 4.\nAnswer: 106*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annngaagna. Give prob of picking 1 g and 1 a.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*x + 2311 - 6631. Calculate the remainder when x is divided by 89.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2\/5*a**5 + 11\/2*a**6 - 82 + 0*a**2 + 0*a**4 - 28*a**3 + 0*a. Find the third derivative of x(v) wrt v.\nAnswer: 1980*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1008)*-5 + -5)*-5)**2 - (1 + ((2*sqrt(1008)*4 + sqrt(1008))*2)**2).\nAnswer: -15000*sqrt(7) + 304032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -41)\/(773 - 774)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48365 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528248.8l to millilitres.\nAnswer: 528248800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*h - h + 5*q, 0 = 5*h - q - 8. Is (-294)\/(-12)*(1 + h) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1669936.3 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/4 (c) 24 (d) -0.037 (e) 2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**1)**49*(a**0\/a)**(-39)*a**(-6)\/a**4*a**3\/a*a\/a**(-1)*a assuming a is positive.\nAnswer: a**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -81*t - 21. Let b(f) = 8*f + 2. Let y(g) = -21*b(g) - 2*s(g). What is the lowest common multiple of 12 and y(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.9 (b) -9 (c) 1\/3 (d) 6 (e) 0.09 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3819 - 534 + 5723 = 563*i. Sort -5, i, -33 in ascending order.\nAnswer: -33, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1458 by 4.\nAnswer: 729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 - 214. Suppose -56*x + f = -54*x. Solve 1 = 5*p + x*j - 1, 0 = -3*p + 4*j - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.35843 decades to centuries.\nAnswer: 7.035843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((40\/15)\/4)\/(4\/18). Calculate the common denominator of j\/6*148\/40 and 103\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183 times 7\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (50\/(-30))\/(2\/((12\/1)\/(-2))). Solve -3*x - 22*i = -18*i + 11, v*i = -25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 31*v**4\/24 - 125*v**3\/6 + 42*v**2. Is d(10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/40 + i**5\/60 - i**4\/8 + i**3\/6 + 62*i**2 + 2. Determine g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, 2, -4, 3 in decreasing order.\nAnswer: 3, 2, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-7) + 195\/455. Suppose 2*o - 4*o + 24 = g. What is the greatest common factor of o and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -34. Which is the nearest to 0.1? (a) z (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5.4. Let r = 1 + -0.9. Let p = 2 + -2. What is the third biggest value in q, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 263, 449, 703, 1049, 1511, 2113?\nAnswer: 2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 32, 45, 60?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1278?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 1:01 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 454635 and -0.4?\nAnswer: -181854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -8 (b) -34564\/7 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s**2 - 304*s + 609. What is x(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 - (-950)\/228?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-4)\/10)\/(3051\/(-135) - -20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:34 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -1\/2 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.944125 rounded to 1 decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 2*y + 2*y)*(-3*y + 3*y - y) + 2*y**2 - 10*y**2 - 5*y**2 to k*y + j*y**2 + t and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53087642.\nAnswer: 2, 103, 257707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*g - g + 2*g)*((-1 - 1 + 1)*(g + 1 - 1) - 2*g - 3*g + 3*g) to the form w*g + o*g**2 + h and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - 0 - (-6)\/(-2). Factor -8\/9*x + 14*x**z + 8\/9*x**2 + 0.\nAnswer: 2*x*(7*x + 2)*(9*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 406729590226 - -2.8.\nAnswer: 406729590228.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) -2\/7 (c) 1320 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 25 + 746 = 0. Let s = w - 255. Let p be (-9)\/(-6)*(-138)\/(-9). Solve s*r - 3 = a, 4*a - r = -4*r - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 5586*g**2 - 646551*g - 18519300.\nAnswer: (g - 5700)*(g + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 1975?\nAnswer: 1974.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2573, 10498, 23781, 42428, 66445, 95838, 130613?\n\"Answer: z**3 + 2673*z**2 - 101*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/24)*c**(-33))\/((c\/c**1)\/c**(-32)) assuming c is positive.\nAnswer: c**(-1537\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18714, 18719, 18708, 18675, 18614?\nAnswer: 18519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432218.2 years to millennia.\nAnswer: 432.2182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111110011101010011 (base 2) in base 10?\nAnswer: -1042259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/3)\/(0 - 1). Let h(m) = -m**2 + 17. What is the remainder when 50 is divided by h(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let n(x) be the third derivative of x**6\/720 - x**4\/8 + 3*x**2. Let r(i) be the second derivative of n(i). Calculate t(r(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -2333.\nAnswer: 6\/2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -229585428 divided by -172\nAnswer: 1334799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 1, p: 1, r: 6, s: 6}. Give prob of picking 1 g and 1 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**2)**(-6\/5)\/((o*o*o\/(o**(1\/4)*o)*o)\/(o**8*o)))**(-38) assuming o is positive.\nAnswer: o**(-2831\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -37*t - 14. Solve -35 = -t*h - 5*r, -5*h + 4*r + 3 = -2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-42) - 13712\/29526. Let m = -193282\/57 - -3391. Let w = r - m. Calculate the common denominator of -14\/5 and w.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1941 = 24*v - 13053. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j + 3, 0 = 3*v + 2*j - 412. Suppose -4*b - v = -342. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2)*(-1)\/(-1)*0. Suppose x = -4*p + 8*p - 132. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 3*i**2 - 3*i. Let h be q(2). Calculate the common denominator of ((-22)\/28*-1)\/h and 127\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 0.5, -10, 0 in ascending order.\nAnswer: -10, -0.3, 0, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3391*c**2 - c - 106*c**3 + 3391*c**2.\nAnswer: -106*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + (15486\/(-144))\/29)*6. Which is the nearest to 5\/4? (a) -2 (b) 2 (c) 0.3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:55 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 39116526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2020230300100?\nAnswer: 2020230300102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 + 2.2. Let f = 126 + -65. Let n = f - 57. What is the third biggest value in u, n, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**3 + g**2 - 7*g + 27. Let x(f) = 5*f**3 - 2*f**2 + 7*f - 25. Let l(s) = 4*p(s) + 5*x(s). Calculate l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 2*y. Let q be i(-3). Solve 3*p + 5*r = -30, -4*p - q*r + 14 = 43 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122391.\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16\/y**20)**(-7\/4) assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*l = 15, 0 = 4*r + 2*l - 83 + 13. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 14. Suppose -36 = 3*q + 3*w, -w = -4*q + 4*w - 3. What is g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1293.909 and 250.\nAnswer: 323477.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 26. Suppose -15 = -11*a + q*a. Suppose 5 = 3*k - 3*t - 1, 2*k - 4 = t. Calculate the highest common divisor of a and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/5*c + 0 - 1\/5*c**3 + 0*c**2 = 0. What is c?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 343, -1\/3, -5\/6, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136531426.\nAnswer: 2, 271, 251903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + -52. Let w = -68.3 - n. Which is the smallest value? (a) 0.54 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 at least 129\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1187 - 1155. What is the greatest common factor of 2416 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*f = -94*f + 2910 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(5\/4))\/(l\/(l*l**23\/l)))**(-3\/7) assuming l is positive.\nAnswer: l**(-291\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -66592295.02 + 16\nAnswer: -66592279.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -8, -35, -76, -131?\n\"Answer: -7*z**2 + 8*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/731 and 23\/5.\nAnswer: 3655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69376 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-21)\/(2457\/65)). Let c(o) = 8*o - 39. Give c(m).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 8. Suppose m - 2*s = 11, -2*m = s - 34 + 12. Let k = -379 + 381. Let q(x) = 11*x - m*x + k*x. Give q(d(l)).\nAnswer: -6*l + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 41 - 53*z**3 + 43)*(3*z - 3*z + z)*(0 + 1 + 2).\nAnswer: -159*z**4 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 0.816?\nAnswer: -2.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6389 + 6384. Which is the nearest to 4\/25? (a) -1\/4 (b) t (c) 1 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 3. Let z be s(4). Let h be 1 + 0 - (0 - 7). Let g(d) = d**2 - d + 1. Let a(o) = -6*o**2 + 8*o - 10. What is h*g(y) + z*a(y)?\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 32 + 5 + 10*r - 22 + 7 to x + k*r and give x.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 740 + -732. Solve 0*u = k*u - 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -21 in descending order.\nAnswer: 15, 4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*p - 34 = 0, -t + 8 + 8 = 5*p - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (18 + -43)) + -30?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j**3 + 1327529*j**2 - 6404626 wrt j.\nAnswer: 15*j**2 + 2655058*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1280, 1268, 1248, 1220?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 3\/7, -1, 3\/4, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 230931 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 - 9. Let f(h) = -2*h**2 - 4. Let r(a) = 9*f(a) - 4*p(a). Let c(w) = -w**2. Calculate c(r(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*z + 92 = 0, -11*b - 9*z + 114 + 199 = 0 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-3*(-1)\/((-22)\/385*7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 21 = -3*m, -3*v + 4 = -5. Let y = 0.8 - 4.8. What is the third biggest value in y, m, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -1\/2*v**2 - 6 - 1\/24*v**4 - v + 1\/4*v**3. Let i(m) be the first derivative of r(m). Factor i(c).\nAnswer: -(c - 2)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1023\/168 - 2\/(-7) and (-114)\/(-5928)*(-226)\/6?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.12, 28, 4, -5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 330206 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiipvppvvivvpvvv. What is prob of sequence pp?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 2, w: 4, k: 4}. What is prob of picking 1 j, 2 w, and 1 n?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 - -192. Solve -b*i + 23 = 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178.4 - -0.29.\nAnswer: -178.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2409, -4113, -5361, -6153, -6489, -6369?\nAnswer: -5793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20*-1*(-36)\/30 and -113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2378*a - 8001 - 6267 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 8*q + 9945. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45644371249177 - -4\nAnswer: -45644371249173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/870745 or 8.87?\nAnswer: -2\/870745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 - a**2 - 1 - a - 4*a**2 - 4*a. Let c be q(6). Suppose -c = -2*l + 15. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 + 10221*c + 6511149. What is v(-1345)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/5 + 275201*x**2\/5 - 1926464*x\/5 - 2201664\/5 = 0. What is x?\nAnswer: -275208, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 122*b**3 - 378*b**2 - 382*b - 128.\nAnswer: 2*(b - 64)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 7. What is the tens digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33950461 is divided by 130?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 7 - -5) + 83?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/8050 and -109\/9170.\nAnswer: 1054550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t - 1. Does 7 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)\/(d*d\/(d\/(d**(1\/37)\/d))*d)*(d**13)**(-1\/6) assuming d is positive.\nAnswer: d**(-857\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrctrera. What is prob of picking 1 e and 1 r?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3269873*s - 2009204 wrt s?\nAnswer: 3269873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-2 + -5)**2 + -3 + 2.\nAnswer: 140*sqrt(19) + 3748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4111*i - 28787. Give j(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -0.01 (c) 14 (d) 0.374 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56584, 56573, 56562, 56551, 56540?\n\"Answer: -11*y + 56595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -5, 588, -1\/10, 0.3, -0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/135 and -27\/35.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3 + (-1 - -3)). Suppose -3*l - 4 = 5, 0 = -3*h - m*l - 6. Sort -3, 1, h in decreasing order.\nAnswer: 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-808565)\/316)\/(-115).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*a**2 - 12 + 10 - 99*a + 101*a + 56*a**2 wrt a.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 7469*m - 5890*m - 2895*m - 6 to o*m + i and give o.\nAnswer: -16254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiy when three letters picked without replacement from iiyiy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-48) + (-58)\/(-8). Let o be (-2)\/m - (-288)\/861. Which is smaller: 2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -37. Calculate the remainder when 49 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045537431 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5, -4*d = -0*d + 5*u + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -261605\/13 and -20122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 - 29*g.\nAnswer: g*(g - 232)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 c when three letters picked without replacement from {c: 5, g: 5, r: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/9085 + -9079\/27255. Sort -8, 21, 5, r, 0.5 in descending order.\nAnswer: 21, 5, 0.5, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uixbuxzibibbibuzib. Give prob of sequence xzz.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78649\/6190 or -12?\nAnswer: -78649\/6190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3\/6 + 40770*j**2 - 163075*j\/2 + 122305\/3 = 0 for j.\nAnswer: 1, 48922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -35. Let w = g - 24. Suppose -5*j + w = 5*y - 83, -3*j = -12. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1794.6 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - (2 + -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 2.998151708?\nAnswer: 3.098151708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16029161 - 16029156.3195444. Let q = g + -5.04045543. Let a = q + 0.36. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*x = 5*x. Solve -7*a - 5*v = -3*a, -2*a + 4*v = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*j*k**2 + i**2*j*k + 8*i**2*k**2 - 11*i - j*k**2 with respect to j.\nAnswer: -i**2*k**2 + i**2*k - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2\/15, -6, -0.4, -8, 31 in descending order.\nAnswer: 31, 2\/15, -1\/7, -0.4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27372037*m**2 - 32848250 wrt m?\nAnswer: -54744074*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 9*g**2 - 8 + 19 to i + n*g + m*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 3*f**2 + 5*f + 3. Let z(j) = -14 - 794*j**3 - 24*j + 14*j**2 - 788*j**3 + 1592*j**3. Calculate 14*m(k) + 3*z(k).\nAnswer: 2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:10 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Let q = 13.1 - 13. Let x = 3.2 - 3. Which is the smallest value? (a) s (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111101000 (base 2) to base 15.\nAnswer: 6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 955 + -249. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 - 403 = 9*s. Let v = 110 + s. Solve 3*t = v*u + 16, 2*t + u = -15 + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21855200 divided by -874208\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9590*f**3 - f**2 + 4*f + 32. Let l(d) = 76720*d**3 + 8*d**2 - 33*d - 264. What is 33*j(b) + 4*l(b)?\nAnswer: -9590*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 5*i - 2*i + (2 + 0 - 3)*(-2*i + 2*i - 8*i))*(-i**3 + 6*i**3 + i**3) in the form c*i**3 + l + x*i**4 + s*i**2 + p*i and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10246 + 39805*j - 10246.\nAnswer: 39805*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 239.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -47*d. Let k(p) = -47*p. What is 3*k(y) - 2*o(y)?\nAnswer: -47*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/19897?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -437357 or -437354?\nAnswer: -437354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and -37\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + r - 12 = -5*m, -20 = -5*r. Solve j - 2*y + 14 = m*y, j = -3*y + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17211789 is divided by 17211782.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let p(u) = -u + 2 + 3 - u**d + u**3 + 0*u**2. Suppose 0 = -3*f + 5*f. Determine p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*c**3\/7 - 24292*c**2\/7 + 439208*c - 256036\/7.\nAnswer: 4*(c - 253)**2*(12*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 9*n - 3. Let w be b(-8). Does 14 divide (-15)\/w*-1 - -39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2*(-3)\/(-6)). Suppose -c = -13 - o. Solve 5*x = -0*x - c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -268cac?\nAnswer: -268ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*y + 41. Let x = y + 12. Let l(a) = 10*a**2 + a + 2. Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1582 - 1380. Is h less than 201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*w + 3159772 + 1381049. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39646337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(19) + 1)*4 + -2*sqrt(19) + -4 + (sqrt(684) - (sqrt(684) + -3*sqrt(684))) + 4)*-1)**2*-5.\nAnswer: -41975 - 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025909 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -29 - (-6 + (0 - 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 203*u = 205*u + 8, -4*t = -2*u + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/2 (c) -0.16 (d) 1.657\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -353.\nAnswer: 9884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13148 and 2052.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4028 (base 9) to base 13.\nAnswer: -1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**4)\/c**2*c**3*c**(-2\/9)*((c*c**2\/c*c)\/c)\/(c\/c**(-1\/5))*(c*(c**2\/c)\/c)\/(c**(-3\/4)\/c) assuming c is positive.\nAnswer: c**(239\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1153, -2320, -3483, -4642, -5797?\n\"Answer: 2*h**2 - 1173*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.359768 millilitres to litres.\nAnswer: 0.000359768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 30 + 10 = 0. Put -1\/8, -1\/3, j, -5 in decreasing order.\nAnswer: j, -1\/8, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - l + 29 = 0, w - 15 - 4 + 8 = -l - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 7. Let r be a(5). Suppose -5*z + r = -2. Suppose -z*h - 18 = -38. Solve 5*u + 4 = 2*c - 14, -h*u - 14 = -c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 48*a**2 + 2*a + 7. Is h(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggtgtww. What is prob of picking 1 w and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/12 and (-13)\/(-1846)*(-4 + -3).\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -5713 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/294 + (-185)\/(-413). Let q = -618\/295 - c. What is the closest to q in -1\/7, 1\/7, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 40. What is the remainder when 221 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - 106. Suppose 0 = -3*q + o*p + 78, -6*q + 3*q + 82 = -4*p. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20416 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 l(t) = t**3 + 6*t**2 + 6*t + 4. Let b be l(-6). Let g = b + 45. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -173*o - 1. Let k(b) = -4*b**2 + 9 + 2*b**2 - 9. What is k(j(m))?\nAnswer: -59858*m**2 - 692*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:00 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000612042 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 271001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21723, 43447, 65171, 86895, 108619, 130343?\nAnswer: 152067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 9. Let o be x(0). Let n = 17 + o. Let r(g) = -g**3 - 3*g**2 - 2*g + 3. Let k(q) = -2*q**3 - 8*q**2 - 6*q + 8. Give n*r(s) - 3*k(s).\nAnswer: -2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 505544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/8*(-5)\/10*8\/259.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -320.9486 - 0.0514. Let c = -319 - b. Let z = -1.2 + -2.8. What is the nearest to c in -2, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0682 + 0.0512. Round y to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h**2 + 13*h - 11. Let l(q) = -21*q**2 + 11*q - 9. Let g(c) = 6*l(c) - 5*n(c). Let z(w) = 6*w - 2. Determine g(u) + z(u).\nAnswer: -u**2 + 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -21*j + 16*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920714.\nAnswer: 2, 3, 320119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (2 + (-5 + 0 - -2))) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (912\/(-504))\/(-38)*24\/18\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 57. What is the third derivative of 2*t**4 - 9*t**2 - 7*t**2 - 8*t**2 - 20*t**z wrt t?\nAnswer: -432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-80) + (-46)\/230. Suppose -3*s + 3*v + 15 = 3, 2*s - 12 = -2*v. Let d be (-15)\/(-9)*4\/10. Which is the closest to d? (a) l (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 3*g**5 + 2*g**5 + (-2461842 - 1609*g**4 + 2461842)*(-2*g + 4*g - 3*g).\nAnswer: 1610*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, -4, 16 in increasing order.\nAnswer: -5, -4, -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a**2 + 2*a**3 - 4*a**3 - 125*a**2 + 67*a**2 + 110*a**2 in the form l*a**2 + k*a**3 + r + u*a and give l.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5*s - 2*f**4 + 70*f**2*s + 2*f*s - f - 181 wrt f.\nAnswer: 20*f**3*s - 24*f**2 + 140*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((163\/(-489))\/(191\/(-16))) + (-15)\/(-24)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-4*-3*(-4)\/(-144).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kriw when four letters picked without replacement from rwwwffiwkfiiw.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 4*i + 9. Let n be t(-3). Solve -n - 8 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/87, -4, 0.18, 234 in increasing order.\nAnswer: -4, 2\/87, 0.18, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45994 in 4\/5, 1\/93, 1\/2?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**2 - 20\/3*m - 17.\nAnswer: -(m + 3)*(m + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*q + 1400*q - 932*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 86*y - 1970 = 39 - 384 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 158\/10 - (-4 - (-95)\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/6 - 4\/12. Suppose 0 = -5*l + 4*r + 4, s*l + 3 = -r - 2*r. Which is greater: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28970222, -28970220, -28970218, -28970216, -28970214, -28970212?\n\"Answer: 2*o - 28970224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10389 take away 0.4?\nAnswer: -10389.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -3, -5, -9, -15, -23?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 28 - 27 = 4*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Let r be m(3). Let f be (34\/(-8) - -2)*r. Factor -2*z**4 - 2*z - 2*z**2 + 4*z**4 - f + 2*z**3 + 9.\nAnswer: 2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4*k**2)*(3*k - 2*k + 2*k - 7*k + 3*k + 3*k + (-4*k - 3*k + 6*k)*(10 - 9 + 5)) to n + h*k + o*k**2 + x*k**3 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 67. Suppose 0 = 91*l - 7693 + 2142. Let h = l + u. Calculate the highest common divisor of 120 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -872 minus -801609?\nAnswer: 800737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + c**4 + 3 + (-2*c**2 - c**2 + 2*c**2)*(-c**2 - 1 + 1) + 660*c - 20*c**4 - 660*c.\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 3*b**2\/2 - 1. Suppose 0 = 5*l - 2*l - 6. Let d(j) = 4*j**l - 2*j**2 - j**2. Determine d(i(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4940 in -0.1, 1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186291187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:08 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 5*x**7\/21 + x**3\/3 - 13*x. Find the second derivative of b(l) wrt l.\nAnswer: 200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771 a factor of 15190864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -51. Suppose f*l - 689 - 448 = 0. Suppose 671 = 6*s - l. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69889.35254 + 69890. What is k rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 373209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5198 + 5200. Solve 2*x = 7*x - 3*n - 5, -3*x - m*n + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196 or 195?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366125.\nAnswer: 5, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235.9354 centuries to decades.\nAnswer: 2359.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 29. Suppose -2*j + 5*j - 1545 = d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 14*s + 24. Let k(a) = a**2 + 14*a - 25. Let v(l) = -3*k(l) - 2*z(l). Let m be v(-16). What are the prime factors of 189 + 10\/(-25)*m?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.3 (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 147021*g - 38 - 4 + 10 + 14)*(-2*g**2 + g - g).\nAnswer: 294042*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/436960 and 29\/120164?\nAnswer: 4806560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 999\/48 - (-6)\/32?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*s - 12 - 39 + 1, t - 52*s - 524 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -0. Sort 4, h, 2 in increasing order.\nAnswer: h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0*l - 125. What is the tens digit of 20\/l*50\/(-4)*10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33254608 and 44336?\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136203 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/55 - (-15 + (-320)\/(-20)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 115452*-0.1\nAnswer: -11545.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 10 - 12*d**2 + (3*d + d - 2*d)*(5*d - 3*d - 3*d) - 36*d**2 - 19 + 19 in the form t + s*d + z*d**2 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) 2\/5 (c) -3 (d) 348\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2961 centuries to decades.\nAnswer: 2.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 495*r + 491*r + 24 = 0, -2*r = 5*q - 40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 212 (c) 0.1 (d) 7.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -103540?\nAnswer: -1\/10354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Let j(t) = t**3 - 26*t**2 + 4*t**3 + 5 + 2*t**r - t + 40. Let p(g) = g**3 - 6*g**2 + 11. Let i(c) = -2*j(c) + 9*p(c). Determine i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, s: 1, x: 3}. Give prob of picking 1 x and 2 q.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:01 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let y = -18\/35 + 232\/315. Let f = 4\/63 + y. Which is the biggest value? (a) f (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*2\/(-3))\/(16\/36). Suppose l*x - 419 = -f + 46, -4*x - 1369 = -3*f. Suppose -7*y = -1683 - f. Is y a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1635190*b + 1635190*b - 12*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**2 + 0*a**2)*(-6*a - 23*a + 62*a)*(-2*a + 2*a + a).\nAnswer: 33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 43*s**2 - 50*s + 197. Is h(31) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 - 734*u**3 + 43524*u**2 - 806760*u + 4910544 = 0. Calculate u.\nAnswer: -421, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -4, -0.1, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 5*y, -v + 0*y - 8 = -4*y. Suppose -21 - 27 = -v*a. Calculate the remainder when 21 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*n*y**3 + n*y**2 + 2*n + y**3 + 19 wrt y.\nAnswer: -183*n*y**2 + 2*n*y + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a - 27*a - 8*a + 2*a - 23*a.\nAnswer: -83*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:39 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s = -34*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 3*d - 75. Give v(0).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x - 10, 2*q = -5*x + 47. Suppose q = 3*v - 1. Find the third derivative of 0*y**v + 0*y**4 + 26*y**2 - 32*y**2 + y**5 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 52\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320*r*z**4 - 33*r*z**3 + 4*r*z + r - 25*z + 13 wrt z.\nAnswer: 3840*r*z**2 - 198*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzlzzl. Give prob of sequence lzl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1853, -4153, -6453, -8753, -11053?\n\"Answer: -2300*r + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2270526.\nAnswer: 2, 3, 29, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 0*x**3 - 7\/4*x**4 + 1\/2*x**2 + 0*x - 5. What is the second derivative of c(h) wrt h?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 + 1 - (-300 + 281 + 2 + 25).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1550053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 2. Let q be f(3). Let l = 12 + q. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672719 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*w + 1235 - 26 + 998 = -598 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t - 13*j - 643 = -74*t, 0 = -5*t - 5*j - 235 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 5 + 1\/((-4)\/12). Let u = 1 + -5. What is the tens digit of a\/14 - (-5952)\/56 - u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50151 (base 6) in base 15?\nAnswer: 1e17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -15.21, -1.6, 13 in descending order.\nAnswer: 22, 13, -1.6, -15.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -16. Suppose 0*s + 22 = 4*n + 2*s, -n - 2 = 3*s. Is b less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 14 = 3*p, 32 = -p + 57*l - 50*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -7, 3, -1\/17 in increasing order.\nAnswer: -7, -1\/5, -1\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let u(b) be the second derivative of -6*b + 0 + 0*b**2 - 1\/6*b**3. Let d(r) = 6*u(r) - v(r). Calculate d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273167114 by -5.\nAnswer: -273167114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (0 + 25) - 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Suppose 2308 = 4*j + 2192. What is the remainder when j is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2298, -4597, -6896?\nAnswer: -9195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvul when four letters picked without replacement from luveev.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z - 7. Let s(m) = -7*m - 6. Let k(x) = -3*x**2 - 29*x - 14. Let r be k(-9). What is r*p(v) - 5*s(v)?\nAnswer: 11*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 0*g - 12*g + 10*g. Let j(o) = 7*o**2 + o - 3*o + 2*o. What is j(n(m))?\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 5 (b) 1\/2 (c) -1 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**4*j - h**4 - 16*h**3 - 1383*h**2*j wrt h.\nAnswer: -360*h*j - 24*h - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 567.\nAnswer: -1\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, -2, 0 in increasing order.\nAnswer: -12, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -6*i - 52, -35*i + 40*i + 30 = -5*j for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/7 and -113\/9674?\nAnswer: 9674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 908? (a) -7 (b) -200 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 0*a + 0*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 2*z**2 + 2*z + 1. Suppose -5 = 5*r - 5*p, p + 2 = -5*r + 3*p. Let t(o) = -o**2 - o - 2. Let m be t(r). Calculate n(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 34, 35, 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - p + 5*p - 7*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 2*h + 1500 - 6*h.\nAnswer: -h + 1500","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69, 139, 209?\n\"Answer: 70*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367566?\nAnswer: 2, 3, 61261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -89, -134, -179?\n\"Answer: -45*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/12)\/((-9)\/(-12) - 0). Let w be 12*3*z\/9. Let t be (-4)\/10*(w - 2) + 2. Solve -t - 8 = 5*q - 2*d, 4*q = -4*d - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6138337*t - 4240285 wrt t.\nAnswer: 6138337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 71525.86 * -2\nAnswer: -143051.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -714115*s**2*w + 23*s*w - 609*w - 5 wrt s.\nAnswer: -1428230*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*q - 45048, -3*z - 2*z + 5*q = -45040. What are the prime factors of z?\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/66)\/(13*28\/(-7280))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, f: 1, u: 6}. What is prob of sequence uf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 2, e: 2, s: 1, q: 4}. Give prob of picking 1 q and 1 e.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 324940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {h: 1, s: 1, o: 1, a: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*i + 25. Let t be i\/12*(-3)\/(-4)*-6. Suppose t*n + 0*n = d - 249, 951 = 4*d + 3*n. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1972*d - 11352*d + 1872*d in the form r*d + c and give r.\nAnswer: -11452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 2. Let r(n) = -256*n + 1543. Let s(d) = 2*b(d) + r(d). What is the derivative of s(a) wrt a?\nAnswer: 4*a - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 9 = 0. Suppose -2*q = y*q - 8090. Factor -752*r**2 - 7130*r**4 - q*r**4 + 420*r + 2738*r**3 - 2002*r**2 - 24 + 5281*r**3.\nAnswer: -3*(4*r - 1)*(9*r - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 8955148155.\nAnswer: 8955148155.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1580114, -3160238, -4740362?\n\"Answer: -1580124*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -12*r + 2. Let i(p) = 13*p. Determine n(i(a)).\nAnswer: -156*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76876*n*u**3 - 232*n*u**2 + 5*n*u + 6 wrt u.\nAnswer: -461256*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (6 - (44 - 15)) - 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 15*i - 15*i**4 + 1 - 19*i - 13*i + 13*i**4 to t + u*i**2 + y*i**3 + q*i**4 + g*i and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 375*o + 6587. What is s(-16)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:38 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s - 1. Determine t(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 10, -79, -20 in ascending order.\nAnswer: -79, -20, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -3*l - 225 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -1579, -5471, -13155, -25921, -45059, -71859?\nAnswer: -107611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -332, -689, -1080, -1523, -2036, -2637, -3344, -4175?\n\"Answer: -3*y**3 + y**2 - 339*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -462087*o**4 - 83*o**3 - 233275*o**2 - 282*o wrt o?\nAnswer: -11090088*o - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = o - 853, -38*o + 42*o - 2*g = 3340. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 142\/34253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(6*sqrt(336) + sqrt(21)))\/(-5*((sqrt(3) - -6*sqrt(6)\/sqrt(2)) + sqrt(3))))**2.\nAnswer: 1575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 0.1 (c) 4 (d) -3 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.89 - 24. Let c = 124.09 + -125. Let r = s - c. Round r to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - f**2 + 412*f**3 - 1375*f**3 - 769*f**3.\nAnswer: -1732*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61482 - 3.\nAnswer: 61479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1248, 1232, 1218, 1206, 1196?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2585.0986 + -2585. What is q rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6898347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 12) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, 1 q, and 1 r when four letters picked without replacement from {r: 1, b: 1, q: 1, z: 1, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*m**2 + 15*m**3 + 69*m**2 + (-m - m + 4*m)*(m**2 - 4*m**2 + 5*m**2) - 2*m**3 + 0*m**3 + 0*m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 274151653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 4. Let b(u) = 3*u - 4. Let r(q) = -3*b(q) - 4*y(q). Let h be r(-6). Let t(f) = -5*f + 2*f + 2*f + 1 - h*f. Calculate t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2525107863 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*u = -16, 42*u + 18 = -t + 35*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 263*j\/2 - 1365.\nAnswer: (j - 273)*(j + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28 - 5 - 19 - (-4170 - 2). What is the greatest common divisor of u and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -16*z. Let v(b) = -3*b + 3. Let n(u) = 3*u - 2. Let h(m) = 3*n(m) + 2*v(m). Let i(j) = 33*h(j) + 6*p(j). Let s(g) = -g. What is i(s(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017909 to four decimal places.\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 823?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.073 + 1034900942522.\nAnswer: 1034900942521.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -36*k + 46. Let x be 2*(-1)\/4*-2. Calculate the remainder when 68\/x - (4 - 5) is divided by f(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -21. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bc291 + -5?\nAnswer: bc28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(26) - sqrt(260)\/(sqrt(10) + sqrt(40)))\/(sqrt(10)\/sqrt(80)).\nAnswer: -1 + 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 - -11) + 6*1. Suppose -g + 23 - x = 0. Let r = g + -11. Calculate the smallest common multiple of 10 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5112 and 59828008?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999312394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -40.8 and -25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.5, -2, 1\/4, 0.144, 1.6?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*f**2*s - 2522*b**2*s**2 - b*f**2*s - b*f*s + 9*b*s**2 - 31907*s wrt b.\nAnswer: 6*f**2*s - 5044*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.73. Let r = i + -2.13. Let x be 3\/7 + (-1)\/7. What is the nearest to 5\/4 in 1, r, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -811, -1624, -2437, -3250?\n\"Answer: -813*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60498683 is divided by 73689.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/4 - 31*a**3 + 84*a**2 + 288*a = 0. Calculate a.\nAnswer: -12, -2, 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/25)\/(-2)*(-5)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 3*q**2 - 2*q - 2. Let y be (-610)\/(-70) - 2\/(-7). Let r = y - 5. Suppose -3*u - 1 = 2*f, 2 = f + r*u - 0. Calculate a(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7098*s - 340615. Give t(48).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/298123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3297.8 + -3298. Sort t, 1, 4, 0.802 in descending order.\nAnswer: 4, 1, 0.802, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831875.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1 + 1*(sqrt(6050) + 0) + (-1*sqrt(6050) + sqrt(6050))*-3)*-5)**2)*1.\nAnswer: 2750*sqrt(2) + 151273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*o + 24, r + 4*o = 3*r - 24. Suppose -r*v = -7 - 5. What is y in v*y**2 - y - 2*y**2 - y**3 + y**3 + 2*y**3 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 29 = 21. Let a be (-4 - 48\/w)*2\/4. Suppose 1 = i - a. Solve -4*j + i*j = 2*u - 1, -2*u + 4*j - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-864)\/(-45)))\/(5\/27)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/13 - (2 + -1). Suppose 0 = -b + 16 + 6. Let t be (40\/30)\/(b\/3). What is the closest to -0.2 in 2, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h - 13. Let p(x) = -7*x - 12. Let g(n) = 6*p(n) - 5*s(n). Let a be g(-6). Let v(m) = -m + 12. Calculate v(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 2\/7 (c) 63\/2 (d) 96 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1718 divide 2061600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 3*z**2 + 2*z**2 + (-3 + 1 + 0)*(z**2 - z**2 + z**2) - z**2 - z**2 + 9*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172267 is divided by 221.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -6*o + 9*o**2 + 0*o**2 - 21*o**4 + 29*o**4 - 11*o**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*t = -7*t + 14, 3*t - 9 = 3*c. Let y(b) = -10*b**c - 2*b - 3*b + 9*b**2. Give y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from hvhpbphrbhpvpjb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 3:52 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -19208 != -19208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -698 + 7680\/11. Let l(t) be the first derivative of -2\/33*t**3 - y*t**2 + 5 + 6\/11*t. Factor l(v).\nAnswer: -2*(v - 1)*(v + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 1. Suppose 5*p - 4 + 3 = -4*x, -2*p = -5*x + 26. Suppose 0 = l - 5*r + 5 - 42, -3*l - 11*r - 71 = 0. Suppose l*j = x*j. Calculate h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i**3 - 60*i**2 + 225*i - 250. Let m(q) = -q**3. Let w(o) = -5*m(o) - n(o). Solve w(g) = 0 for g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/16*(-762)\/5334.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3043427227 rounded to 4 decimal places?\nAnswer: -4.3043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -572*c + 298*c + 482*c**2 + 274*c to a*c**2 + z + n*c and give a.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 0.317?\nAnswer: 12.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 12 = -4*g, 0 = 3*g + 2*g - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 24*b**3 + 9504*b**2 + 217728*b.\nAnswer: -2*b*(b - 84)*(b + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -0.6. Let o(j) = j**3 + 6*j**2 + 2. Let c be o(-6). Suppose -2*u + c = -6. What is the nearest to n in u, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17121 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -103 + -24 - (-2 + -36)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12)*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26813 = -434*d - 27247 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-9 + 0 + 157 + -155)) + -19\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*25*28\/700.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 3*o + 2. Let t be w(3). Suppose 4*x + t = 43. Let l = x + -5. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*n + 5 = 0, 4*a + 3*n + 8 = 1. Suppose 8 = -0*r + r - a*d, 0 = -4*r + 4*d + 24. Find the third derivative of -2*j**2 + 4*j - r*j + 2*j**6 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -598 - 610426205.89\nAnswer: -610426803.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -432*f + 2 + 332*f - 308*f as c*f + g and give c.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 204, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + (107 + -55 - (-14 - -25)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77*o**4 + 1044?\nAnswer: -308*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -500040 divided by -1?\nAnswer: 500040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4093 + 4108. Solve 6*s - 11*s = o - 17, 5*o + h = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 153 = 27. Calculate the greatest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.34523t in micrograms?\nAnswer: 85345230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -36*u**5 + 13245*u**4 + 2131191*u**3 + 176403*u**2 - 177507*u = 0.\nAnswer: -121, -1\/3, 0, 1\/4, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -0.09, -26283, -0.3, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 31 = -3*m, -9 = -5*f + 4*m. Solve 0 = 4*c - 2*z, -4*z = -f*c - 8*z + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 6 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t + 515. Let a = t + 7. Suppose -4*z = -a - 82. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 79 + 0 + (5 - (2 + 0)). Let s = r + -72. Differentiate s + 23*o - 51 + 6*o - 1 wrt o.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 71 + 157. Suppose 2*i + 2*d - 40 = 0, 2*d = 2*i - 5*i + p. Suppose 17 = 2*n - i. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -0.03. Let h = 45278\/7 + -6468. Let x = 12\/77 - 1\/77. What is the third biggest value in x, i, h, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1069\nAnswer: 3\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -35. Suppose -5*p = -3*w + 2 - 0, -u*w + 6 = -3*p. Let n be (16 + -13)*p\/20. Which is the second biggest value? (a) -0.3 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 590 and (-236*2\/(-4))\/(0 + 1).\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/3781?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 118. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3920 = -15*n. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**5 + 10*t**4 - 45*t**3 - 70*t**2 + 100*t + 120 = 0?\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/51*-23*(-792)\/(-16192)*(-8)\/(-6)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1130080?\nAnswer: 1130080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mswmswuswxwwufs. What is prob of sequence ussw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5*s**3\/3 + 5*s**2\/2 - 5*s - 8. Is o(-5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 divided by -4?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423037 is divided by 5045.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 0.09, 0.1 in increasing order.\nAnswer: -6, 0.09, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = 3*r, 5*r = 5*l - 0*l - 30. Let c be (-4)\/(r\/10 + 0). Suppose 0 = -0*z + z - c. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = 8825*g - 8859*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 - 12.7. Put -1, -2, z in ascending order.\nAnswer: z, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (27\/(-6))\/((-26)\/468)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -18*x - 2. Let m be i(-2). Let b = -23 - -6. Let q = b + m. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.02, 1\/6, -0.3, -6, 2\/5 in descending order.\nAnswer: 1.02, 2\/5, 1\/6, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*i + 1, 0*i - 2*i - 3*x - 3 = 0. List the prime factors of (-1 - i)\/((-2)\/158).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-88)*((-10879)\/46)\/(-43)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p**(1\/4))\/((p\/(p*(p*p\/(p*p*p**1))\/p*p))\/p*p*p\/(p*(p**8\/p)\/p)) assuming p is positive.\nAnswer: p**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/79 or 205.35?\nAnswer: -34\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 13 + 2. Suppose -22 = -3*r + 2*r + 4*y, 5*r - y - v = 0. What is the least common multiple of 11 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -1315 - 1700. Suppose 2153 = 13*m - j. Is m a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 2*u + 2*u)*(-184 + 481 - 227)*(0 - 2 - 5) as n*u + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15045009 and 4802?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 120. Solve q = 4*i + 1 + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(120\/(-4140)*(-6)\/4). Solve -19 + g = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3\/5 - 174*k**2\/5 + 1563*k\/5 - 1386\/5 = 0. What is k?\nAnswer: -66, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4750816?\nAnswer: 2, 7, 127, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5)**9)**(13\/2)*(b**(-2\/17)\/b**9)\/(b**(-5)\/b**3) assuming b is positive.\nAnswer: b**(9907\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*l - 35, 4*j - 22 + 17 = -3*l. Suppose 13*v - j*s = 18*v - 6165, 0 = 4*v - 2*s - 4926. What are the prime factors of v?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217645433.\nAnswer: 3, 149, 313, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w - 4, -2*z = -2*w + 2. Let f be 1 - z - (-5 - -7). What is the units digit of (f\/5)\/(1\/(-25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19471*p**4 - 1333*p**2 + 3 wrt p.\nAnswer: -467304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17040199 to the power of 1\/2, to the nearest integer?\nAnswer: 4128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(128)*3 + 1)*6 + -5*-1*-3*-2*sqrt(128))**2*-4.\nAnswer: -18576 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 + 3*k + 74. Let d(l) = 14*l. Give d(n(y)).\nAnswer: 70*y**2 + 42*y + 1036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddhdddbbx. What is prob of picking 1 x, 1 h, and 1 d?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -0.3. Let c = -2 - g. Let u = 3070\/3 - 1023. Sort c, -2, u in increasing order.\nAnswer: -2, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -436755 and -436766 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Let k = -425 - -427. Let t(o) = 47*o**2 - 20*o**k + 56*o**2. Give p(t(d)).\nAnswer: 13778*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/16 - 23\/48. Let t = 0.082 + 11.318. Let v = t - 11. What is the third smallest value in 2, l, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8403152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 4*c**2 - 8*c + 6. Suppose 3*z = 8*z - 25. Let f be s(z). Let g = f - -95. Calculate the remainder when g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m)\/((m\/m**(-16))\/m)*m**11*(m*m\/(m\/(m\/((m**21*m*m)\/m))*m)*m)\/m assuming m is positive.\nAnswer: m**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**4 + 2*a**4 - a + 14 + a**3 + a**2 + a**4 - 11 to h*a**2 + r*a**3 + v*a + o + n*a**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - -64. Let v = -182 + 208. Suppose s + v = h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -526289*c**2*f - 70073*c*f - 7*c wrt c.\nAnswer: -1052578*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 40, 235, -10, 4, 0.5 in decreasing order.\nAnswer: 235, 40, 4, 0.5, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1023.3 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -312, -311, -310, -309, -308, -307?\n\"Answer: h - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16731341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 2. Let n be x(0). Suppose -n*w - 4 = -2*r, 5*r = -7*w + 4*w + 34. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37002.616 to the nearest 100.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 119*f**2. Let p(h) = -375*h. Give n(p(t)).\nAnswer: 16734375*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81, 76, 67, 54?\n\"Answer: -2*v**2 + v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2610*c. Let b be u(1). Suppose k = -r + b, -r + 1556 = -k - 1054. Round r to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -112, 117, 438, 851?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let d(r) = 19*r**2 + 2*r + 1. Let p be d(-1). Let o = p - 19. Sort o, 1, s in descending order.\nAnswer: 1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 77 = -k. Let d = -261 - -265. Suppose 48 - d = 4*x. Calculate the greatest common divisor of x and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 24*g - 2. Let w be n(8). Let m(a) = 406*a**2 - 26*a - 46. List the prime factors of m(w).\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(0 + 3) + 3. Let k(a) = 2*a + 1 + 3*a - 5*a - 5*a. Let g(r) = -r - 1. Let m(l) = 4*g(l) - k(l). Give m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r - 3. Is a(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1 - 0)*-4. Suppose -2*w = 5*o - w - 27, r*o + 5*w = 9. What is the smallest common multiple of o and (-30)\/6*2*(-4)\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7290831 is divided by 2632?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*y + 98 = 5*v, 46 = v + y. What is the remainder when 1877 is divided by v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 597, 4, -2869 in decreasing order.\nAnswer: 597, 4, -2869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = 2. Suppose 2827*l = 2854*l - 54. Solve -u + r*u = -l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596343 to the power of 1\/2, to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/11 and -83\/102?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**8\/a)\/a)\/(a*(a*a\/a**(3\/8))\/a*a)*a**(-7\/4)*a\/(a*a**8)*a)**(-4) assuming a is positive.\nAnswer: a**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 389 and 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.035 - 57.035. Let o = -53 - i. Let l = -0.3 - -0.2. Which is the nearest to l? (a) 4\/7 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*b - 80*b = 1254. Let h = 428 - 119. Let r = b + h. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/21 + 3\/(-9) - 1. What is the units digit of (v + (0 - -9))*(-2877)\/(-63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - (-217)\/3. Suppose 269 - 161 = 9*a. Suppose -o = -h + a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e - -216?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/8)\/((-7)\/(-28)). What is the remainder when 49 is divided by (0 + -17)\/(f - 12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-69)\/21 + 2\/7. Let a = -9 + y. Let i be (-3)\/(-2)*(a - -62). What is the highest common factor of i and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*g + 15, -809*g = -813*g - 2*o + 42 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -51.87 - 162736640328\nAnswer: -162736640379.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**3 + 3*i + 1. Let l(t) = 13*t**3 + 4*t + 1. Let p(r) = -4*j(r) + 3*l(r). What is the derivative of p(q) wrt q?\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 7. Let w = z - -18.918. What is w rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 35. Let k be (3\/(-1) + d)\/2. Suppose -i = -0*i + k. Sort 1, i, 3 in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2. Let i = 2 + 3. Let b(a) = 4*a - i*a - 6*a. Calculate b(j(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5 + 18*c**4 + 13396*c**3 + 312204*c**2 - 3156050*c + 6295650 = 0. Calculate c.\nAnswer: -47, 3, 5, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 48 = -5*h. Suppose 61 = 5*l + 1. Let a = h - l. What is the lowest common multiple of a and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 30*n - 57. What is the hundreds digit of a(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o - 75*o**2 - 56*o + 31*o as l*o + t*o**2 + m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 650\/(-78)*(-12)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173508 (base 10) to base 7\nAnswer: -1321566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685349?\nAnswer: 3, 271, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 345*t + 12804. What is j(54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -268 and -3?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -6 + 0 - -6. Suppose 2*k + 18 = l*k. Calculate the remainder when (-940)\/(-18) + (-2)\/9 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -396*m + 365. Is s(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/8)\/(((-8)\/(-2))\/(-36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 333741265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260712 divided by -153.\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*c - 28948083 = -28965683 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/50*((-2)\/(-2) + -6). Suppose -1 = a - f, -a = f - 3 + 8. What is the nearest to 2\/9 in -5, 2\/3, a, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 147, -0.59, 1, 2\/5?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -811.42 - -827. Let c = 13.7 + -0.8. Let o = c - u. What is o rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -826 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2788 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 767*m**2 + 2870*m - 799. Determine i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1372\/3 - 2\/(-3). Suppose -3*s + 5*i + b = 0, -4*s = -2*s + 5*i - 347. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26982)\/(-27) - 4)*2\/((-8)\/6). Which is bigger: f or -4481\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1063.4879 rounded to zero dps?\nAnswer: -1063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-132)\/(-18) - 8) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 352\/40*15\/12. Let b(h) be the second derivative of 0 + o*h + 0*h**2 - 1\/6*h**3. Calculate b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3*(48\/90)\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-9)*1\/(-3). Suppose -2*g - 3*g + 275 = u. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*z + 18, -3*z + 16 + 6 = -5*i. Suppose -21 = c + 4*m - 5, 0 = -2*c - z*m - 12. Let t be -3*1 - 6*c\/(-8). Let h(f) = -f - 10. Give h(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2296*l - 28855 - 564 = 1025*l + 868*l for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-252)\/(-54))\/(4\/12). Sort -139, k, -5, -4.\nAnswer: -139, -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2717 and 95?\nAnswer: 13585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 - 3\/2*w**2 - 2*w - 1\/2*w**4 + 2 = 0. What is w?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 135 = 5*n. Does 27 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 -876, -1746, -2616, -3486, -4356?\n\"Answer: -870*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35116 (base 8) in base 7?\nAnswer: 61342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -50. Sort 4, -3, w in increasing order.\nAnswer: -3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 6. Let r(d) = -13 + 10*d - d - 15*d + 3*d. Suppose -39 = 44*w - 41*w. Give w*q(m) + 6*r(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/60 - 5*m**4\/8 - 23*m**3\/6 + 3*m**2 - 11*m. Let a be j(-13). Solve 5\/3*b**4 + 0*b**2 + 0*b + 0 - 2\/3*b**a = 0 for b.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(363)*1 + -5 + 2 + (-1 + sqrt(363) - sqrt(363))))**2*-5.\nAnswer: -2060 + 770*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttgtggggtgggg. What is prob of picking 4 g?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13082691.\nAnswer: 3, 227, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -90 (c) 2 (d) -1\/2 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -0 + 4, 0 = 5*q + 3*s - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.195 and -0.4?\nAnswer: -0.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 0.177, 1\/2 in ascending order.\nAnswer: -4, 0, 0.177, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/651 (b) 2\/9 (c) 1\/2 (d) -1 (e) 6.2 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlllllvvvlvt. Give prob of picking 2 v.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*a**2*s**3 + 43*a**2*s**2*w - 4*a**2*s**2 - 2*a*s**3*w + 2*a*s**3 + 3253*w wrt a?\nAnswer: 64*s**3 + 86*s**2*w - 8*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 2484. Let x = -218 + o. Suppose 7*k = 486 + x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/12 - d**3\/6 + 3*d**2\/2 - 7*d. Let i(v) = -3*v**2 - 3*v + 7. Let t(o) = -3*i(o) + 7*p(o). What is c in t(c) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:26 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 4\/19, 0.1, 1\/6 in ascending order.\nAnswer: -2, 0.1, 1\/6, 4\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/10*-6 + (-4)\/(-2). Let f(t) = -4*t**2 + 1. Let g be f(2). Let s = g + x. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 38*h**2 - 2*h. Calculate u(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9496 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 36, 4\/3, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 8, x: 3, z: 4, y: 3}. What is prob of picking 3 y?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6117\/4? (a) -3 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:30 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507 - -0.07888.\nAnswer: -506.92112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6840450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2355 = -518*v + 10595 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/12)\/(45617\/(-1479) + 31)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/3*48\/(-20). Suppose -f = i + 66. Let v be 4\/(-18) + i\/(-9). Calculate the greatest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15*-5)\/(2\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -42. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95581324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36 + -3.54. Let w = z + 3.959. Let v = -0.351 - w. What is v rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4 + 3 - f**2 + 0*f**2 + 3*f - 17*f. Suppose 82*t + 792 + 356 = 0. Determine k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4523 is divided by 141.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-16)\/(-18) - 4\/6. Let m be (4\/(-14)*d)\/((-5)\/35). Let i(j) = j**3 - 3*j**2 - 2*j - 6. Let o be i(m). Solve r + 1 = -o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 39*u + 2 = 0. Suppose z - 2*p = p + 7, -p = u. Which is smaller: 0.4 or z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46425719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-190)\/15)\/19*(-3)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8028 - 8028. Is 1.608 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 183654.9?\nAnswer: -73461.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045 is divided by 519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 7*z - 143 + 125 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2903911650 and 1.\nAnswer: -2903911649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -11 (c) -0.7 (d) -0.17 (e) -253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose z = h - 5*h + 16. Suppose -j + 5*q + 2 + 5 = 0, 5 = 4*j + 3*q. What is the remainder when h is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Let f(k) = 3*k. Let r be f(1). Suppose z = -a - r*y + 8, -2*y + 2 = 4*a - 5*a. Solve -3*c = -a*j + 7*j + 10, 5*j - 20 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0 - 1\/80*n**5 - 1\/16*n**4 - 7*n + 3\/8*n**3 + 1\/2*n**2. Let w(m) be the first derivative of v(m). Find k such that w(k) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13\/11 + (-28)\/154)*114. Suppose -16 = 4*b, 2*b - h + 12 = -2*u. Calculate the greatest common factor of 44 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 45*r + 100 = 0. Let d(i) = -i**3 + 6*i**2 - 6*i + 4. Give d(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -11*l - 27. Suppose 15*b - 65 = 20*b. What are the prime factors of g(b)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 + (-41 - (102 + -79))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14418, 14780, 15142, 15504?\n\"Answer: 362*d + 14056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j**3 - 4*j**3 + 15*j**3 + 18 - 8*j**3 + 0 in the form s*j + q*j**2 + b + d*j**3 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 + -390. Let h(g) be the third derivative of 0*g**4 - 4\/3*g**u + 3*g**2 + 0 - 1\/12*g**5 + 0*g. Differentiate h(n) wrt n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 38. Let c be h(8). Let g = c - 54. Solve g = -2*m - 2*b - 2, 4*m - 2*m - 12 = 5*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 6:11 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7 + 3 - 8*v - 13 - 10 in the form y + t*v and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 5) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0 - 3*i**2 + 0*i**3 - 1\/600*i**6 + 0*i**4 + 0*i + 0*i**5. Factor a(x).\nAnswer: -x**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 309459 and 207843?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520831235?\nAnswer: 5, 104166247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 - 168. Let t = -697\/940 - 2\/235. Which is the closest to -1? (a) 2\/3 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -18. Let x = 29.04 + -29. Let d = x - -0.26. What is the closest to 1\/3 in g, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*w**4 - 4*w + 2*w - 102*w**3 + 104*w**3 + 2*w**2 - 3*w**2 + 4*w**2 to n*w**3 + h*w + o*w**4 + b + v*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/11, 3\/5, -170, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -7*q**6\/120 + q**5\/30 - q**3\/6 + q**2. Let h(v) = -7*v**3 + v**2. Let x be h(-1). Let o = x + -7. Calculate a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-261)\/45 + 4*(-1)\/(-5). Let r(o) = 46*o**2 - 20*o + 5. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -665 + 669. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*u + 73708 - 71945 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 919078949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-133)\/(-42) - (1 + (-15)\/18). Factor -14*n - 3*n**2 + 3*n**p + 26*n - 12*n.\nAnswer: 3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17664, -17676, -17690, -17706, -17724, -17744?\nAnswer: -17766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by -3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13105665919 and -0.1392.\nAnswer: -13105665919.1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52243775?\nAnswer: 5, 2089751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-72)*(774\/1720)\/((-1)\/(-5))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1.842.\nAnswer: -0.3684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4652973*b**2 + 5837547*b.\nAnswer: -9305946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4))**(-12\/7)*(d*d*d\/(d\/d**(-1\/3)))**(-3\/25) assuming d is positive.\nAnswer: d**(-82\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 5}. Give prob of picking 4 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4782940 and -4?\nAnswer: -19131760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 4*d - 5. Determine u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 - 3*u - 585.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -131. Let j(l) be the first derivative of -40\/33*l**3 + 8\/11*l**2 - 14\/55*l**5 + d*l + 1\/33*l**6 + 9\/11*l**4 - 7. Factor j(f).\nAnswer: 2*f*(f - 2)**3*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1042 + -778. Does 67 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 49.878. Let t = m + -0.12263. What is t rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2724 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2*10\/(-100))\/((-32)\/(-80)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let u be ((-30)\/4)\/3*v. Let w(r) be the first derivative of -r**2\/2 + 3*r - 42. Give w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/18 and 71\/138.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 6312*o - 306109. Give w(-49).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 171985953?\nAnswer: -171985952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*j**2*n**2 - 2*j**2 + 327732*j*n - 49103*n**2 wrt n?\nAnswer: -66*j**2 - 98206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18412646 and 4396.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 4*n**4 - n**4 + (n + 0*n - 2*n)*(0*n**3 - n**3 + 2*n**3) + (-68*n - 775 + 775)*(1644 - 1644 - 160*n**3).\nAnswer: 10881*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.8199+-2397514661\nAnswer: -2397514659.1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 2. Let s(x) = -x**2 + 5*x + 2. Let q be s(4). Let v(z) = 3*z**3 + 7. Let j(n) = q*v(n) - 21*b(n). Factor j(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-17)*w*w**(-36)*w assuming w is positive.\nAnswer: w**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -318*z**2 + z**3 - 319*z**2 + 642*z**2. Give f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l**4 - 555*l**3 + 6460*l**2 + 74580*l - 19040 = 0 for l.\nAnswer: -34, -8, 1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -443 and -202057\/457 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o - 1. Let r be g(-1). Let k = -39 - -44. Let m = r - k. Let n(j) = j. Let h(b) = -3*b - 3. What is m*n(t) - h(t)?\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137491135.\nAnswer: 5, 27498227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 58 = -5*f + 3*p, -5*p = -20. Suppose 21 = -f*s + 971. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 10:41 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0163? (a) 790 (b) 1\/3 (c) -2\/23 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 12) in base 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 1\/9, -0.08, 0.8, 21?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2802667.78 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9644 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 33*s - 625. Let u be f(19). Suppose -5 = -p - 2. Let d = -3 + p. Solve d = -4*x - x + 2*h - u, 2*x + h = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 126352?\nAnswer: 2147984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10526, -21062, -31598, -42134?\n\"Answer: -10536*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27185 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(4\/20) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.01 (b) -1\/5 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 271951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v**4 + 283*v**3 - 283*v**3 + 3*v wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/5 - 102480888*z - 4375971835528560 = 0.\nAnswer: -85400740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.211 - 0.26. Let v = 0.22 - 0.211. Let y = o - v. Round y to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-48)\/(-30))\/(2\/(-10)). Let d = -5 - h. Suppose -2*q - 3 = d, 240 = m - 3*q. Calculate the greatest common divisor of m and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c. Let u(s) be the first derivative of -s**3\/6 + 3*s - 3. Let g(o) be the first derivative of u(o). Calculate g(n(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5))**17\/(o*(o\/o**0)\/o)**(-28))\/((o**(-1)\/o**(5\/2))\/((o**(-3\/7)*o)\/o*o*o*o\/o**(2\/3))) assuming o is positive.\nAnswer: o**(8443\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5480.8, -0.1, -11.\nAnswer: -5480.8, -11, -4, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*v = -93*v - 820. Let m = v + -138. Suppose 0 = 6*o - o - 1040. Calculate the greatest common factor of o and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.97 - 1.97. Let d be (1\/(-43))\/((-8)\/48). Let t = d + -67\/172. What is the smallest value in q, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i**3 - 9*i**2 + 9*i + 9. Suppose -4284*r = -4270*r - 56. Let s(g) = 3*g**3 - 2*g**2 + 2*g + 2. Calculate r*y(m) - 18*s(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 50*c**2 + 47*c - 87. Give d(-49).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 13*x + 54 + 13 = 0, 4 = -i - x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*l - 12319 = -2569 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/20 and -59\/123785.\nAnswer: 495140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 8*l**2 + 5*l + 2. Let m be t(-3). Suppose -m*d + 212 = -48. Calculate the remainder when d is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h + 13. Let v(q) = 7*q + 25. Calculate 10*b(r) - 6*v(r).\nAnswer: -2*r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003639622 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 22*a**2 - a - 17. Let j(w) = 2*w**3 + 45*w**2 - 2*w - 35. Let p(i) = -6*j(i) + 13*v(i). Let q be p(-16). Suppose g - q = -3. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 132.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 2. Let j(d) = 3*d - 35. Let b be -3 - 7 - -5 - -2. Let v(y) = b*r(y) - j(y). Is 35 a factor of v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2514920, 2514705, 2514490, 2514275, 2514060?\n\"Answer: -215*c + 2515135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w + 2. Let y be p(0). Let t be (1 + y)\/((-15)\/(-20)). Find the third derivative of -13*d**2 - 9*d**4 - 7*d**t + 5*d**4 wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24004 + -11862. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -189. Calculate the remainder when l is divided by (-162)\/(-4)*(-6)\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 18 = -5*x, j + 2*x = -0*j - 6. Solve 0 = -j*u - u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*h + 10*h. Solve -x - 2 = -2*g, -g + x + h*x = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**33))\/h)\/(h*h**(12\/11)) assuming h is positive.\nAnswer: h**(329\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.1 (b) 77 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:04 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-9 - (-4)\/(-2)) - -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 + -116. Let a = j - 14. Solve -a*i - 5 = -17*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 minus 76?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/7 + 56380*s\/7 - 56382\/7 = 0.\nAnswer: -28191, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - r + 19, 0 = -108*x + 105*x - 38*r - 50 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0198790379 to six dps.\nAnswer: -0.019879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.9 + 10.1. Round q to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1190.3 - -1190.3. Which is the nearest to n? (a) 0.08 (b) -17 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(3000)*1)\/((sqrt(100)*-1)\/sqrt(10)))**2 + -4.\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 298.2383 to the nearest integer.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 2\/15, 11 in increasing order.\nAnswer: -4, -3, 2\/15, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - o - 21 + 3*o)*(-5*o + 0*o + 3*o) in the form h + x*o**2 + s*o and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 577 - -127. Let h = a + -669. Solve 8*p - h = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2333275 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3\/720*-4)\/((-5)\/20)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l - 8*l + 60 + 17 - 12*l. Let g(q) = -3*q + 19. Let r(a) = 26*g(a) - 6*n(a). List the prime factors of r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 6*u - 12)*(-4*u**2 + 6*u**2 - u**2) + u + 208 - 7*u**3 - u**2 - 208 in the form t*u**2 + z + i*u + x*u**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*(j*j**(-6))\/j*j**(1\/7)*j*j\/j**(-4\/3))**(-23) assuming j is positive.\nAnswer: j**(2668\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/4 - 25*l**3\/2 - 163*l**2\/4 + 53*l = 0. What is l?\nAnswer: -4, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14719220 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, p: 3}. What is prob of picking 3 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/54)\/(23\/((-345)\/10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 2175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1381, 5497, 12357, 21961, 34309, 49401, 67237?\n\"Answer: 1372*q**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a. Let f = a + 4. Sort 2, -3, f in descending order.\nAnswer: f, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**2*o - 537*h**2 + 6303*o wrt h?\nAnswer: 12*h*o - 1074*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3 + v**3 - 6*v**2 + 0*v**2 + v**2. Let b be m(5). Suppose b*j - 48 = 114. Calculate the greatest common factor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a + 1. Let x be c(2). Suppose 5*z - 5 = 5*n, -n = 5*z - 0*n - x. Suppose 3*d = 4*u - 21, 5*d = d - 12. Solve -z*p + 0 = u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**15\/g**(2\/49) assuming g is positive.\nAnswer: g**(733\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241329 and 197451?\nAnswer: 2171961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2771134, -5542256, -8313370, -11084476, -13855574?\n\"Answer: 4*b**2 - 2771134*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, -8*x + 4*j + 24 = -4*x. Let f(q) = -2*q**2 - 55*q - 75. Let u be f(-25). Calculate the greatest common factor of x and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78351, 150170, 221989?\nAnswer: 293808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34584 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2))\/(i*i*i\/((i**5\/i)\/i)*i)*i**(-4)*i**2 assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/13470 and 41\/211?\nAnswer: 2842170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 3*y - 546 = -22*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38560 and 3046240?\nAnswer: 3046240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -200, -632, -1434, -2720, -4604?\n\"Answer: -19*q**3 - 14*q**2 - q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 889*c + 393*c**3 + 381*c**3 - 776*c**3 + 108*c - 4*c**2 + 5*c**2 in the form t*c + y + v*c**3 + g*c**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3412 = 4*w, -w + 14*b + 843 = 11*b. Calculate the remainder when w is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 16 - (-2 + -4 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 613 or 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 + 360\/54)*870 is divided by 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i**(-3)*i))*i)\/i)\/(i*(i\/(i**0\/i))\/i)*(i\/(i*i*i**(-3\/7))*i)\/(i*(i\/(i*(i*i*i**(-2))\/i*i)*i)\/i))**(1\/8))**(-3\/19) assuming i is positive.\nAnswer: i**(12\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 + -0.27. Let c be 99\/(-6)*2\/(-12). Is c != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 443 and 128727.\nAnswer: 57026061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/87376 and -37\/36192?\nAnswer: 197644512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**4 + 34263*u**3 - 107144586*u**2 + 101968009920*u - 304940653344 = 0.\nAnswer: 3, 2196, 7026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.5, -3, -2, -1, 2, -2\/50219?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 506555705 to the power of 1\/3, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528637*b**3 - 782*b + 773*b + 528639*b**3.\nAnswer: 2*b**3 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 89 - 12*y + 57*y + 47 + 47. What is the hundreds digit of x(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 76*j**2 + 4*j + 1. Let p be l(-1). Suppose 6*x - p = 59. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 2*q**6 - 92*q**5\/5 + 160*q**4\/3 - 400*q**3\/9 + 793. Determine u, given that v(u) = 0.\nAnswer: 0, 1, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -71?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:10 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2613072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 g when three letters picked without replacement from iqiyyymqyymgymyyg.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4001*r**2 + 45*r + 43. Give n(-1).\nAnswer: 3999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79004*y**5 + 58598*y wrt y?\nAnswer: -1580080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49092549*v**5 + 278*v**2 - 23*v - 182?\nAnswer: 2945552940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6 - 4) + (-15 - (3 + -17)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g\/(g\/(g**23*g))))*g**(1\/2)\/g assuming g is positive.\nAnswer: g**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-13 + 8)) + -5 - 10 - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37759963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*a + 5*g, -6*g - 16 = a - g. Suppose 16*d = a*d + 406. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3434669087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 1 - 39 = 3*k, 3*v = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*o - 101*o**2 - 2 - o + 40*o in the form h*o + z + b*o**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 19*z. Suppose -s = -2*g - z*s - 10, -5*s + 10 = 0. Which is smaller: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Let g(m) = -11*m + 7. Let j(h) = -6*h + 4. Let a(u) = u**3 + 7*u**2 - 8*u + 7. Let p be a(-8). Let o(d) = p*j(d) - 4*g(d). Give t(o(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 172, 274, 376, 478?\n\"Answer: 102*o + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10293 = 4*a + 5*u, -10*a + 2577 = -9*a + 5*u. Calculate the remainder when a is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*28094.\nAnswer: 84282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1410 + -1405. Solve 15 = -4*l - b, -4*l - 16 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*l**3 - 6 + 6.\nAnswer: -189*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3\/13 + 14290*c**2\/13 - 128488*c\/13 + 285440\/13 = 0.\nAnswer: 4, 5, 7136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11967641 and -2.\nAnswer: -0.23935282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(4\/(-16))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 23*b - 1904 = -199*b - 7066 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 95. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -440252\/461 + 955. Sort 0.5, s, 4.\nAnswer: s, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 6*w + 2. Suppose 1 + 27 = 2*a. Suppose 5*c - p = -5*p - 22, -c - a = -4*p. Let q be g(c). Solve -4 = -2*r + q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*c**3*x**2 + 661*c**3*x + 4*c**3 + c**2*x**2 - 2*c**2*x - 6*c**2 - 60*c*x**2 - 4*x**2 wrt c?\nAnswer: -516*x**2 + 3966*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/50*(-22)\/1*(-10)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/336 and 81\/26264.\nAnswer: 157584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - -3 - 12) + 2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/7 + 538*r**4\/7 - 10880*r**3\/7 + 2744*r**2 + 32064*r + 276480\/7 = 0.\nAnswer: -288, -2, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, d: 1, x: 2, h: 1, s: 1}. What is prob of sequence sxhd?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*5 + 2\/(-1). Let i(j) = j**3 + 6*j**2 - 11*j - 24. Let s be i(-7). Solve -s*k + z*k = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3, 0 = -4*m - 4*j - 0*j - 52. Let v be 4\/m - (-7)\/39. Which is the second biggest value? (a) -5 (b) 2\/17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*y + 8 = 0. Let g be (200\/y)\/(5\/1000). Let u be 3\/((-36)\/g)*570. What is u rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9249 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + sqrt(171)*1)*-4)\/(-1*(sqrt(9) - (sqrt(18)\/(sqrt(2)*-4) - sqrt(9)))) + 5.\nAnswer: -64*sqrt(19)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 4. Let d(q) = -q. Let m(h) = -5*h + 3. Let o(p) = -6*d(p) + m(p). Calculate 4*o(r) + 3*s(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3514)\/(-26) - 52\/338 is divided by 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z + 8. Solve -6 = l - z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 804 + -271. Suppose 3*r - 709 - i = 0. What is the greatest common divisor of r and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9009 - 8845 + 17854 + 13*l**2 - 3*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzzvzzzzz. Give prob of picking 2 z and 1 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180583951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 8*v - 35. Calculate the remainder when s(-10) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - q + 5*q + 4 = 0, 0 = -u + 2*q + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2743871 is divided by 922?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -3*b**8\/28 - 5*b**4\/12 + 8*b. What is the third derivative of a(x) wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25296 or -5?\nAnswer: -25296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834 divided by -109?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. Let o = -6 + x. Suppose o*y + 12 = 2*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12*-2)\/((-15)\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 4*g**2 + 6*g - 3. Let j be p(5). Let f = 0.9 + -0.5. Let w = -0.3 + f. Put j, -2, w in ascending order.\nAnswer: -2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.7503035 rounded to one decimal place?\nAnswer: 131.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*d - 88*d - 229*d to the form i*d + q and give i.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -202498, -404998, -607498, -809998, -1012498?\n\"Answer: -202500*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001100010110100101 (base 2) in base 10?\nAnswer: -2409893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 37. Suppose -44 = 7*c - 11*c. What is the remainder when o is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*u + 669*u - 2*u**3 + 461*u + 672*u - 2477*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12. Solve 0 = r*w, w = 4*f - 0*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 2*l - 2*l - 9. Let b(x) = -2*x + 3 + 2 + 0*x - 10 + 3. What is -26*b(h) + 6*t(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -4\/7 (c) -1.62 (d) -0.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12323 - 3\nAnswer: -12326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 9*a - 33 + 12*a + 0*a**2 + 2 - 13. What is s(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (-8 - -33) + 28 - 23.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -152. Which is the nearest to 1? (a) -3\/2 (b) -1\/5 (c) w (d) -8.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -57961 and -57961 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 65 = -4*w, 3*w + 2*w = -2*s + 7 + 62 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from {f: 2, b: 7, g: 7}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -y + 32, 3*n = 5*y + 17 + 7. Solve n*u = 11*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Suppose 334 = -4*l - 626. Let h(i) = 180*i. Let v(q) be the first derivative of -q**2\/2 + 3. Let b(s) = l*v(s) - h(s). Determine u(b(r)).\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 14*s**2 + 42*s + 220. What is r(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114313.\nAnswer: 79, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 586540 = -4*n. Let r be n\/(-26) + (-12)\/(-78). Let k = -99303\/22 + r. Find the common denominator of 117\/14 and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(2) + sqrt(35))\/sqrt(7))**2 + sqrt(605) + -3.\nAnswer: 17 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -1\/24*n**4 - 1\/20*n**6 + 11\/80*n**5 + 16 - 1\/2*n**3 + n + n**2 + 1\/168*n**7. Factor k(d).\nAnswer: (d - 2)**3*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4201998778 - -0.4202. What is d rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -47*n + 2. Suppose 3*c = -2*c - 10. Let u be a(c). Suppose -3*s = b - 3*b + 15, 0 = -b + 3*s + 3. Calculate the greatest common divisor of u and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 18*p**3 - 8*p**2 + 22*p - 8. What is the remainder when s(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013145255 rounded to 5 dps?\nAnswer: -0.01315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319552 is divided by 3631?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 1 (c) -482.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -427922, -855855, -1283788, -1711721, -2139654, -2567587?\n\"Answer: -427933*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 0*k**2 + 1\/3*k**6 + k**4 + 94 + 0*k + 0*k**5 + 215\/3*k**3. Find the third derivative of z(c) wrt c.\nAnswer: 120*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -320*p**7\/21 - 3583*p**3\/2 + 13*p**2 - 539*p. Find the first derivative of r(m) wrt m.\nAnswer: -12800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0632? (a) 12\/91 (b) -4\/3 (c) -5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*g - 19 - 1, 5*g = 3*v - 25. Solve v*w + 2*w + z = 1, -2*w + 3*z + 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j + 2880 = 3440 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4539*d**3 + 22915*d**3 + 16765*d**3.\nAnswer: 35141*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 i when four letters picked without replacement from pqqqpqiipppiipqqp?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p**2. Let i(k) = -6*k + 6*k + 2*k**2 + 2*k**2. Determine i(c(r)).\nAnswer: 576*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-17 - -16) - -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 33*q - 48. Let z(u) = -5*u**2 + 32*u - 47. Let a(g) = 2*y(g) - 3*z(g). Suppose a(d) = 0. Calculate d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -63*p + 2. Let x be g(-4). Suppose -x = -j - j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 7*l**2 + 7 + 5.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17690111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(264)\/((-2*sqrt(110))\/sqrt(10)))\/(sqrt(84)\/(-1*sqrt(112))).\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -3. Suppose 11*l = m*l + 88. What is the units digit of l + -20 - (-1 - 59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 657340 (b) -5 (c) 1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iieacinni. What is prob of sequence ina?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12\/5, 0, -0.4, -49\/5, -36?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1566420 (base 7) to base 3.\nAnswer: -102002112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2. Let d(k) = -599*k**2 + 10798*k - 5. What is d(c(v))?\nAnswer: -5391*v**4 + 32394*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 4 - 9 + 15 + x**2. Determine q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*j + 70 - 38 - 31)*(-4*j**2 + 2*j**2 - j**2)*((4 - 3 - 2)*(0 + 0 - 2) + 9 + 9 + 8).\nAnswer: 6384*j**3 - 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*l - h**2 + 2*h*l**2 - 45*h*l + 12489*l**2 wrt h.\nAnswer: 4*h*l - 2*h + 2*l**2 - 45*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-38)\/(-40))\/(492\/3690)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/18)\/((-1)\/8). Let n = 5 - h. Suppose -w + n = -2. Solve 2*r = 5*k - 17, -5*r - 5 = -k + w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (474\/(-12) - 3)*640\/(-25).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 + 9) - -2 - 10 - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25\/36 in 0.5, -3, 1\/7, 1\/9, 1, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2568\/183 + -31 + 17. Sort m, 5, -3\/7, 0.1 in increasing order.\nAnswer: -3\/7, m, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p**(-1\/10))**(-28\/5) assuming p is positive.\nAnswer: p**(-1246\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -17. Suppose 1 = -n, 2*l - 1 = 5*n - i*n. Suppose -a = -y + 2, l*a - 4*y = -0*a - 14. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 11*b + 11. Let a(j) = j**2 + 11*j - 10. Let o(n) = -3*a(n) - 2*y(n). Let d be o(13). Let g = -24 + d. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 3, -23.\nAnswer: -23, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -401, -3, -622 in increasing order.\nAnswer: -622, -401, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*o**3 + 150*o + 54469 wrt o.\nAnswer: 225*o**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o. Let k(f) = 88 + 59 + 2*f - 174. Give k(r(x)).\nAnswer: 6*x - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -120+867.3769\nAnswer: 747.3769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 106950*s**2 - 2. Let m(w) = -w**2. What is f(m(d))?\nAnswer: 106950*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y**2 - 478*y + 1794. Calculate o(4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -3\/28 (c) 191 (d) -4 (e) 323\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8736 divided by -2184.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 97*c**2 - 1984*c - 4. What is j(-64)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16851 - -16879. What is the remainder when 1164 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*g - 8 - 3*g + 3*g as d + l*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 41*s - 9 = -38*s, -6 = -3*s. Calculate the remainder when 286 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2\/2 - 25*t\/2 - 10 = 0 for t.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.312 - -1.2272.\nAnswer: 0.9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c - 1. Let l be x(4). Let b be -2 + (l - -3) + 6. Calculate the remainder when 8 is divided by (1\/(2\/b))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -791.025 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24606, 49219, 73832?\nAnswer: 98445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -388 - -397. Suppose -h*c + 817 = 277. Solve -5*k = -c + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 6*p**2 - 8*p - 5. Suppose 4*u + 2*h = 6, 3*u - h = -1 - 7. Let z(f) = f**2 + f + 1. Let s = -9 - -3. Calculate s*z(t) + u*m(t).\nAnswer: -t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**2 + 4*a - 2*a + 3*a + 9 - 5. Let f(v) = 5*v**2 - 4 - 2*v**2 + 4*v**2 - 6*v. Let z(g) = -5*f(g) - 6*i(g). Differentiate z(w) wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 51 = -20*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -885447 divided by -2659?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13116, -26421, -39726, -53031, -66336?\nAnswer: -79641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - q + 9, 5372*v + 17 = 5377*v - 3*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p = -26*p + 4*p + 120 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = 7*o - 288. Let v(z) = 3*z + 30. Determine v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.14 - -0.14. Let q = -35 - -54. Let w = 18.7 - q. Sort w, -4, d in increasing order.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d + 22830 = 0. Round d to the nearest 100.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(96)\/sqrt(2)*4)**2*-4.\nAnswer: -110592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3498 and 5406.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/60*(-12)\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.4, -17, 2, 1, 80 in decreasing order.\nAnswer: 80, 9, 2, 1, -0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1\/2, -12\/5, 62, 0.15, 0 in ascending order.\nAnswer: -10, -12\/5, -1\/2, 0, 0.15, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 0*y + 0*y)*(-1 - 3 + 2)*(-24657 - 11183 + 6562 - 5151).\nAnswer: -68858*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0799996 - -0.08. What is x rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -508c (base 14) to base 4\nAnswer: -3120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 4. Let a be (-8)\/(-18)*b\/5. Suppose 3*o - 3*f - 9 = 0, o + 6 = -2*o - 2*f. Which is bigger: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134485 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 6*k + 228. Let h(y) = -k*y**2 + 155*y**2 - 81*y**2. Let c(z) = -17*z**2 + 1. Calculate c(h(r)).\nAnswer: -68*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 294*v**2 + 4*v - 417 with respect to v.\nAnswer: 588*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*f - 16 = 0, -3*y = 7*f - 6*f. Let t(a) = a**2. Give t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 51*x = 50*x + 25, -2*n + 5*x - 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*y + 23 = -227*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 + 443 = s - 4*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w - 21. Let v be n(-2). Let p = -143.55 - -140. Let z = p + -0.45. Which is the third biggest value? (a) -1\/4 (b) -0.2 (c) v (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-450)\/(-520)) - (-4)\/6.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c25 (base 13) to base 3.\nAnswer: -122220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k - 3. Let d(y) = -6*y + 2. Let r be (147\/84)\/(-1 + 3\/4). What is r*d(h) - 4*s(h)?\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-42)*6*(-4)\/(-18). Let l = -25 + 30. Let z = -4 + 3. What is the smallest value in t, l, 0.1, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157699 is divided by 9192?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 4*l**2 - 50*l - 624. Calculate j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 2*a)*(-2*a + 2 - 2 + (3 + 2 + 1)*(-a - a + 6*a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 13)*((-780)\/(-10640) - (-6)\/57).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -2, 14, 48, 106?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/((l**(2\/15)*l*l)\/l)))\/l**(-4\/7)*(l*(l\/((l*l**(-1\/2))\/l*l))\/l)**(-1\/68)*(l*l**(-4)*l*(l**(-4)*l)\/l)\/(l**0)**14 assuming l is positive.\nAnswer: l**(-47161\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1852 + -0.1852. Let b = 4\/3 - 7\/5. Let j = 1\/3 - b. What is the smallest value in -2\/9, z, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.74 * -364.25.\nAnswer: 5369.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28686 - 28687 + 62*a**2 + 27*a**2)*(-5 + 6 + 1)*(-a + 0*a + 0*a) to the form i*a + y*a**3 + g + v*a**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 3*i, 0 = -2*i + o + 1 + 3. Suppose 0 = i*v - 9*v + 305. Suppose -41 - v = -3*g. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from {c: 7, r: 1, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16035433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 7*b**2 - 4*b - 1. Suppose -3*w = 12, 3*n - 4*w + 2 = 6*n. Is i(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**3 + 85 - 85)*(-9*g - 8 + 8) + (-1 + 3 - 3)*(3*g**4 + 0*g**4 - 4*g**4).\nAnswer: -62*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/2, -13, 4 in decreasing order.\nAnswer: 4, 0, -3\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 10 = 0. Suppose 3*t = -k*v + 57, 4*t - 2*t + 32 = v. Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3896901, -3896900, -3896899?\nAnswer: -3896898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + 1.2. Let k = -4 + h. What is the closest to 1\/2 in -5, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -5\/6*u**3 + 74*u - u**2 + 0. Let z(g) = g + 1. Let m(r) = 14*r - 2. Let b(j) = m(j) + 12*z(j). Determine 16*a(l) + 3*b(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 1, j: 7, m: 3, s: 5}. Give prob of picking 2 s, 1 f, and 1 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1194*w + 1170*w + 576. Calculate the highest common factor of 1092 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13289*i**3*r - 8*i**2*r + i*r - 2*i - 62*r wrt i?\nAnswer: -79734*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 20*d**3 - 3*d**3 - 3*d**2.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 o when four letters picked without replacement from ololllll?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 2, e: 1, m: 5, g: 2, d: 6}. Give prob of picking 1 d, 1 m, and 1 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 346. Let w(c) = 3*c + 336. Give -6*w(k) + 5*y(k).\nAnswer: 2*k - 286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 28*t. Let y(l) = -39*l**2 + 26*l - 52. Let b(a) = -4*a**2 + 3*a - 6. Let j(m) = 26*b(m) - 3*y(m). Calculate p(j(h)).\nAnswer: 364*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 greater than -564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 + 6*r. Suppose 5*c - 24 = c. What is the lowest common multiple of q(-7) and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -32*l + 364. Let j be (306\/510)\/((-4)\/(-80)). Give d(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121736?\nAnswer: 2, 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426040 and 2020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -308*n + 2 + 41*n - 2 - 35*n. Let q(w) = -7*w. Calculate c(q(r)).\nAnswer: 2114*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1400608388*f**2 - 37*f - 4909407 wrt f?\nAnswer: 2801216776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(-1 - 2). Let k = 2 - w. Suppose -3*l = -k*l + 30. What is the smallest common multiple of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o**3 - 3 + 0*o + 1\/5*o**2 - 1\/10*o**4. Determine k, given that d(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -578*w**4\/9 + 22304*w**3\/3 - 38672*w**2\/3 - 30080*w\/9 - 608\/3 = 0.\nAnswer: -2\/17, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/6*15\/(-5). Suppose 0 = 2*c + 4*n - i, 20 = 5*n - 0*n. Let s(o) = -c*o + 16*o + 0*o. Let l(v) = v. What is l(s(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 2, 657 in descending order.\nAnswer: 657, 6, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20347 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.085 - -2.915. Let s = 35 + -37. Which is the third smallest value? (a) 0.6 (b) x (c) s (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -345*f + 6*f**2 + f**4 - 4*f**2 + 449*f - 2*f**4 as g*f**2 + w*f + y + z*f**4 + i*f**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.422 + 0.042. Let i = b + 4.183. What is i rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-1.85397.\nAnswer: -42.64131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(8)\/sqrt(4))**2*5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 1:28 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/j**(-5\/14)*j)*j*j)\/(j**(-1\/39)\/j))**(-24))**(-8\/7))**(6\/13) assuming j is positive.\nAnswer: j**(279744\/8281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -705 + 8?\nAnswer: -6ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5661887, -5661897, -5661913, -5661935?\n\"Answer: -3*a**2 - a - 5661883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*s**3 + 2)*(10 - 10 + 38*s).\nAnswer: 152*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.38039 >= -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + 2*j. Let o(k) = 4*k**2. Give o(r(d)).\nAnswer: 100*d**4 - 80*d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-203398)\/16 - 6\/(-16)*1. What is the units digit of (1 - -2)\/(6 + v\/2120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1970, -3886, -5750, -7562, -9322, -11030?\n\"Answer: 26*d**2 - 1994*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-12))\/(662\/(-1324)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7806 divided by -2\nAnswer: -3903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 7}. Give prob of picking 1 e and 3 t.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-16)*f**18 assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -128975975, -257951948, -386927921, -515903894, -644879867?\n\"Answer: -128975973*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -3, 0 in descending order.\nAnswer: 140, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 254\/(-12)*-1 - 20\/10 and -121\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 20 = m, s + 4 = -7*m + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 78 = 5*c - 23*m, -4*m - 106 = -5*c. What is the greatest common divisor of 117 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58114191 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 37) + 45 + -27.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10558 divided by -1?\nAnswer: -10558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 10) to base 2.\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3436*g - 234 = 3427*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*t - 22 = 70*t. Let a(b) = -b**3 - 2*b**2 - 8*b - 6. What is the remainder when a(-5) is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*c + 25*c + 27. Let l(i) = i**3 + 10*i**2 + 9*i - 11. Give l(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4683*h**2 - 4592*h**2 - 4624*h**2 + 13874*h**2.\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115717345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4004377.\nAnswer: 13, 89, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aefpw. What is prob of sequence fw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**2 - 3*b + 14. Let q be j(-6). Suppose 7*s + 1332 = -q. Calculate the remainder when s*((-5)\/6 + 2\/6) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y. Let d(t) = 6*t**2 - 6*t. Let w(z) = 4*b(z) + d(z). Factor w(h).\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.313 times 5?\nAnswer: 256.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18247 = -92*t - 179*t - 6594. Solve -t*k + 3 = -83 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from drfdrnnfbddgdddndr.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = x + 17, 44*x - 3*h - 15 = 43*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -3\/30439075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-24))\/((-10)\/(-4)). Let s be 2\/(-5)*(16 + -15). Is j greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*w + 6, 3*m - 26 = -2*w - 5. What is the highest common divisor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3707 is divided by 161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-27) + 11\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595771151?\nAnswer: 37, 397, 40559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0)*183\/(-732)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 72, -739.\nAnswer: -739, -3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-5)\/(-10)). Let u be (-168 - (l - 3))\/(-2). Suppose 0 = -5*m - 8 + u. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/3))**(-20)\/((x*x*x**(-6))\/(x**3*x)) assuming x is positive.\nAnswer: x**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2030*c. Let a(x) = 2035*x**2. Give a(f(z)).\nAnswer: 8386031500*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2313100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011100001001000100 (base 2) in base 4?\nAnswer: -13130021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.68 and 274.3.\nAnswer: 3203.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 47. Let q be y(12). Suppose 12*f - q = 47. Solve 3*s = -f*s + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08700746 rounded to three dps?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/581 and 95\/1344?\nAnswer: 111552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 6 + 5)*(-2 + 2 - n - 2*n + n + 0*n + (-2*n - 3 + 3)*(-1 + 1 + 1)).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v = -17*v - 73*v + 911 + 2302 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577138 is divided by 134.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408*f + 360*f + 170*f - 210*f)*(-1 + 1 + 3*f**2).\nAnswer: 2184*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 896113182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.90976 years to decades.\nAnswer: 4.390976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 + m - 3. Let z(v) = v**3 - v**2 - v + 4. Let w = -6 + 8. Suppose 3 = w*o - o. Let a be (1 - 7)*(-4)\/6. What is a*q(y) + o*z(y)?\nAnswer: -y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -172 - -157?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.4, -1\/6, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d - 76. Give f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 + -1.52. Let b = a + 3. Let j = b + -0.38. What is the smallest value in -2\/9, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38208*d + 38220*d = -156 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -450, -470, -504, -552?\n\"Answer: -7*x**2 + x - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 + 4961. 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 the hundred thousands digit of 1885343?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -732.1 in 0, -13, 0.2, 5, -3\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/7)\/(-2*21\/196). Let g = 0.05 - 4.05. Put g, t, -2 in decreasing order.\nAnswer: t, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q + 35402 = 34541 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 27 = -2*a. Suppose -12*v + 266 - 50 = 0. What is the greatest common factor of v and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 420 = 8*d. Let n = d + 167. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 + 18*r**2 - 65*r - 72. Is 16 a factor of u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 85. Let o(u) = 6*u - 119. Calculate d(o(c)).\nAnswer: 12*c - 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:50 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 5 - 7*w**2 + w**3 - 4*w + 3. Let r be n(8). Let j be r\/(-24) + (-17599998)\/8. Round j to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 394.8 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -227080000 to the nearest 100000.\nAnswer: -227100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 68 = -3*n, -2*n - 3 = -5. Let t be (-10)\/4*12\/(-15). Factor 9*l**t - r*l**2 + 0 + 16.\nAnswer: -4*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 299380.4 hours?\nAnswer: 1077769440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -22) + -5 - 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1984*n - 144*n - 634*n.\nAnswer: 1206*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 2. Calculate l(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31303 is divided by 14800.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -407 + 392 + (-27 - 0) + 3.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*v - 8, -m + v - 5 = -v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 103\/2?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(100) - sqrt(100)*-2) + sqrt(60)\/sqrt(108) + sqrt(5) + -1.\nAnswer: -1 + 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacccaararacaaacaac. What is prob of picking 2 a?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/7 of a week?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*p + 7293 - 4353 = 0 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13387, -0.5, -7\/8, 0.1?\nAnswer: 13387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -7. Let v = -33.25 + 33.75. Which is the nearest to -1? (a) -0.3 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252310 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/41693904 and 97\/626976.\nAnswer: 83387808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-35773)\/(-249))\/(5\/60). Calculate the highest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n + 1. Let k(m) = 8*m**2. Let d(x) = 168*x**2. Let g(f) = 3*d(f) - 64*k(f). Give l(g(h)).\nAnswer: -96*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -499, -1031, -1613, -2251, -2951, -3719, -4561?\n\"Answer: -v**3 - 19*v**2 - 468*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 26 - 38 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 374*g**2*x**3 - 64*g**2 - 485*x**3 with respect to g.\nAnswer: 748*g*x**3 - 128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20559 - 20547. Solve -299*l = -303*l - x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j + 16. Let l(t) be the first derivative of 3*t**2 - 4*t + 1\/3*t**3 - 2. Give l(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - -3. Which is the smallest value? (a) k (b) 2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.7 - 23.7. Which is smaller: x or 66?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10892, -10820, -10740, -10646, -10532, -10392, -10220?\n\"Answer: q**3 - 2*q**2 + 71*q - 10962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 240, 1122, 2592, 4650?\n\"Answer: 294*x**2 - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 + 5*c + 6. Let m be n(-4). Is m bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 3*y**2 - 4*y**2 - 34*y**3.\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*n + 3*f, -27 = 5*n - 5*f - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*n**5 + (257*n**3 + 165*n**2 - 165*n**2)*(-2*n**2 + 3*n**2 - 4*n**2)*(3 + 2 - 6 + 0 + 1 + 0 + (-4 + 2 + 1)*(-2 - 1 + 5)).\nAnswer: 1540*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 (base 12) in base 11?\nAnswer: -801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2719, -24, 4, 0, 32, -3 in descending order.\nAnswer: 32, 4, 0, -1, -3, -24, -2719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.8 - 27.04. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 18*v + 18*v.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -11*q**5\/10 + q**4\/6 + 3*q**2\/2 - q - 51. Find the third derivative of g(a) wrt a.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -12) + -12 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a - 20 = 84*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 4*o + 1. Let i(f) = f**2 + 2*f. Let z(g) = -2*h(g) + 5*i(g). Let m(t) = 3*t**2 - 7*t + 7. Let a = -2 + -2. What is a*m(v) - 14*z(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(102)\/sqrt(6))**2 + 4 + sqrt(17) + (sqrt(2057)*3 + -2)**2.\nAnswer: -131*sqrt(17) + 18537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + 4*w + 0*w**2 + 4*w**2 - 51 - 16 to x*w**2 + g*w + y and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 7*g**2 + g - 6. Let j be u(7). Let z = -7 - -7.2. Let l = z - -0.2. Which is the closest to j? (a) l (b) -0.3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d + -6?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6383*s - 23. What are the prime factors of t(2)?\nAnswer: 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/30 + l**2. Let m be (-3)\/(-2)*44\/6. Let a(i) = 3*i - 22*i + m*i. Calculate k(a(v)).\nAnswer: 128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 55856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-1160)\/612) + (-4)\/(-18). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*n**2 - 456479*a*n + 14*a + 11*n**2 + 4*n + 10597 wrt a?\nAnswer: 4*n**2 - 456479*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 4*z - 3. Let m be f(-2). Suppose 5 + 7 = -o - 4*u, -4*o = 4*u + 12. Solve t = -m - o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22620, -22618, -22616, -22614, -22612?\n\"Answer: 2*n - 22622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2242, 4487, 6732?\n\"Answer: 2245*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 112*r + 2 + 1168*r - 52*r.\nAnswer: 1004*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -88. Suppose -u = -3*i + 6. Suppose -i = t - 31. Solve 3*b + 2 + 2 = -2*p, -4*p + 3*b = t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h**3 + 2*h**2 - 2*h. Calculate the least common multiple of z(1) and 1308.\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9341 + 0.4341. Which is the closest to 2\/5? (a) g (b) 0 (c) 11 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:36 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 4*g - 7. Let p = 7 + -11. Let u be d(p). Let z(t) = t**3 + 16*t**2 + 3*t - 7. Is z(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140898977 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 3*i**2 + 5*i. Is 5 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcppppqpcphcpqqqqc. Give prob of picking 1 p and 2 c.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8167647 to the power of 1\/2, to the nearest integer?\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from zzzqzzqq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in -1\/7, 0, 91, 4, 0.3, 319?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/34875084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10011000110?\nAnswer: -10011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 923299643 to the power of 1\/2, to the nearest integer?\nAnswer: 30386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212 + 262. Let c be (34\/(-68))\/((-1)\/d). Calculate the greatest common factor of c and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let q(o) = b*o + o + 4*o - 6*o. What is the smallest common multiple of 2 and q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/13)*(((b**(-31)\/b)\/b)\/b)\/b*b*(b**(-11\/7)\/b)\/b**1 assuming b is positive.\nAnswer: b**(-3440\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2\/25)*b**(2\/11)\/b*(b*b*b**(-8))\/(b\/(b\/(b**(-2\/19)*b*b*b))) assuming b is positive.\nAnswer: b**(-45943\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16067, -32531, -48993, -65453?\nAnswer: -81911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1, 2\/57, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (((sqrt(108) + 1 + sqrt(108))**2 - sqrt(108)) + -1))*-2 - (sqrt(108)*-2 + 4 + (-1*sqrt(108)*-1)**2)) + 4.\nAnswer: 36*sqrt(3) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2413 + 2418. Which is the second smallest value? (a) 1\/6 (b) -46 (c) 2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/(-7))\/((-875)\/(-175)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {u: 2, r: 2, d: 7, p: 3, l: 1, g: 3}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1142500 and 3276.\nAnswer: 935707500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/9 - 14*h**2\/3 - 30*h - 550\/9 = 0?\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1059032)\/26356 + (-84)\/22?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21 + -23 - (9\/2 + 1) - -3. Let z = -1 + 2. Let p = 3 + z. Which is the closest to 1? (a) p (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 + 550. Suppose -5*n - c + 1196 = 0. Which is bigger: n or -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times -2533508\nAnswer: -9120628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from {w: 2, p: 8, x: 3, b: 3}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193638260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 6*o - 0. Calculate the remainder when ((-16962)\/(-5))\/11 + 4\/o is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*v**2 - 14*v**2 - 2 - 24*v**2 - 13*v + (-v + 2*v - 3*v)*(-80 + 4*v + 80).\nAnswer: -13*v**2 - 13*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7131 + -3994. Let b = s + -558. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7748841?\nAnswer: 3, 2582947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3\/7 (c) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.8+0.395\nAnswer: 1.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -28 - (-33 - -24) - -10) + 1 + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/49 (b) 2\/5 (c) -16 (d) 5 (e) -0.4 (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/30*3*144\/(-30). Solve 5*x - 3*a + 13 = -5*a, -3*a - v = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 159 + 286. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*t - 3 + 1 + 14*t - 9*t + 5*t + 10*t + (-2 + 5 - 2)*(-2*t + 2 - 2) - 2*t + 2 - 2.\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12959434, -12959436, -12959438, -12959440, -12959442?\nAnswer: -12959444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -45 + 50. Put -4, w, -5, 3 in decreasing order.\nAnswer: 3, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 19 = 4*b + 22. Solve -5*u + 6 = -b*o - 3*u, -5*o = 4*u + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 6*i**2 - 24*i - 45. What is the remainder when 203 is divided by n(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 6:00 PM?\nAnswer: 187","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:50 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p**2 + 99*p - 7. Let q(l) = 4*l**2 - 50*l + 3. Give -3*m(b) - 7*q(b).\nAnswer: -b**2 + 53*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*n**2)*(-29 - 143 - 149) + 2*n**2 + 0*n + 0*n.\nAnswer: 644*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:10 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c\/c**(-1)*c)**(-2\/11)*(c**(-3)\/c*c*c)\/c*c**2*c*(c**(1\/4)*c*c**(4\/3))\/(c**(1\/2)\/c*c**(-1)) assuming c is positive.\nAnswer: c**(395\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**(1\/6)*s*(s\/(s**(-7\/3)\/s))\/s assuming s is positive.\nAnswer: s**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u - 11 - 6 + 17 to m*u + r and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888759807 to the power of 1\/3, to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 20*g**2 - 2*g - 35. Let x be a(-20). Suppose -x*u - 27 = f + 4, 2*u + 18 = f. Let s(i) = -i + 10. Calculate s(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -152, -265, -404, -569?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 2*r + 0*r - 41 - 5*r - 42 + 81 + (0 - 4 + 2)*(-2 + 2 - 5*r) as s + p*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.89818 nanograms to micrograms.\nAnswer: 0.07489818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/(2\/(-4)). Suppose -5*z = 8 - g, 5*t + 3*z = 47. Let u(i) = -i**3 + 10*i**2 - 10*i + 10. Let h be u(9). Solve -3*y - t = -h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 8. Let c be t(-6). Suppose 5*j + 4*a - 36 = 0, 2*j - 7 = a + c. Suppose 0 = 33*f - 42*f + 9. What is the highest common factor of j and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4 and -61\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2450\/(-10750))\/(-49)*15.\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1012 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 4:15 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -6*w + 10*w. Suppose -71*i = -w*i. Suppose i = 5*r - 75 - 555. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796458596?\nAnswer: 2, 37, 5381477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 10*w**2 + 4*w - 1. Calculate z(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 274937383765 + 0)*5\/(-40100). Let z = o - -34281470. Let q = 1\/401 - z. Calculate the common denominator of q and -117\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663 - 5 - (-44)\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 4*a + 5. Let i(z) = -8*z + 8*z**2 + 1 - 41*z**2 + 7*z. Let h be i(1). Let k be 143\/h + 2\/(-3). What is n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, n: 3}. What is prob of sequence nng?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 13262.\nAnswer: 225\/13262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1161 - -4692.\nAnswer: 5853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 79 = -64*w - 50*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1. Let u(x) = x**3 + 5*x**2 + 4*x + 4. Let z(m) = -2*p(m) + u(m). Determine z(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -126, -211, -318, -453, -622, -831, -1086?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppwp when four letters picked without replacement from wwwwwwwwwwwwwwwwpwww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/2 + 1383*x**2\/2 + 24165*x\/2 + 107649\/2.\nAnswer: 3*(x + 9)**2*(x + 443)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/36*-6*(-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -5*m - 8*m. Let l be 1 + (-6 - (7 + m)). Solve 2*y + l*w = -14, -2*w + 15 = -3*y - 5*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*x - 14*x - 210. Suppose x = 13*b - 6*b. Solve 2*n = n - b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*b + 3566 + 3987 = -5117 - 4550 for b.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/4)\/(h\/(h**(2\/23)*h)) assuming h is positive.\nAnswer: h**(-15\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11685\/(-266))\/(-41)*(-14)\/(-20)*3?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*n + 3 - 3*n.\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 30*x + 9. Let o be l(2). Suppose 6*k = o + 51. Suppose 6*m - k = 46. Solve 4*t = 2*y - 5 - m, 4*t = 3*y - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -2\/85, 1, 1.1528, -1?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31680)\/6552 - 16\/52)*7\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 8. Suppose p*l + 1 = 36. What is the second derivative of -i - i + i**2 + l*i - 3*i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 71*q**5\/60 + 11*q**4\/24 - 2*q**3\/3 - 63*q**2. Let t be z(-2). Calculate the greatest common factor of 43 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flfg when four letters picked without replacement from {f: 2, l: 2, g: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o - 36. Let w(b) = -8*b**2 + 191 - 186 - 5*b**3 + 10*b + 0*b**2 + 4*b**3. Let z be w(-9). Let y be u(z). Solve y = -3*l - 3 + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*o - 51 = 0, 2*q - 79 = -3*q + o. Suppose -4*k - 79*z = -76*z, -5*z = 3*k + 11. Solve q = u + 4*t, 2*u + k - 5 = -2*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4179 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3434037568 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -110, 1, -2\/3619, 0.02, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 16?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -6, -0.74, -2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pooo when four letters picked without replacement from {o: 6, p: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 466*d + 6400 - 15720 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 + 19.38. Let v = 8 - w. Let t = v + 11. Which is the smallest value? (a) -0.5 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 46*z - 34. Let y be w(-24). Let x be (-16)\/(-56) - (-24)\/y. Suppose -m - 277 = -5*o + x*o, 0 = 4*o + m - 360. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93934.11 milliseconds to seconds.\nAnswer: 93.93411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + 3*h - 5. Let l be y(-2). Suppose 0 = -l*f + 6413 + 1813. List the prime factors of f.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 8) + (35\/175)\/((-3)\/(-74))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.048 in -5, -10, -1\/11, 52\/11, -1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - (-520)\/24)\/((-4)\/(-78)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46)\/(-10) + (-22)\/(-55). Let o = 4 + c. Suppose -2*g = -10, 2*g - o = -x + 4. Solve j - 7 = y - 3*j, x*y - 3*j - 6 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2 + 80*y - 2. Let m(j) = -12*j**2 + 80*j - 3. Give -2*m(u) + 3*x(u).\nAnswer: -3*u**2 + 80*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 870\/6)\/(2 + -1). Let h = -148 + d. Suppose 0*r + r + 3 = 0, 3*l = h*r + 888. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.989*-173\nAnswer: -344.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*-3*sqrt(252)*1*6 - -4*(1*(-1 + sqrt(252)) - (sqrt(252) - (sqrt(252)*1 + -1 + sqrt(252) - sqrt(252))))))**2.\nAnswer: -9024*sqrt(7) + 2226736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -22*t - 114. Give g(8).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 3. Let t be d(2). Let m(s) = s**2. Let f be m(t). Suppose 2*i + 3*i = f, -2*i = h - 15. Calculate the highest common factor of 80 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000779095 rounded to 7 dps?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 631\/(-4 + (-4 - -7)). Let v = 886 + a. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.3 less than or equal to -83\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*c - 2181*c - 71520 = 1844*c - 1099*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 4*((6*sqrt(637)*-2 - sqrt(637)) + -2*sqrt(637) + 1) + 1)*1 + 3)**2.\nAnswer: -71400*sqrt(13) + 57330289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, -5, -109, -4, 3 in ascending order.\nAnswer: -109, -5, -4, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -286971 and -0.6.\nAnswer: -286971.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 5 - 2*f + 4)*(1 + 2 - 1) + (-1 + 0 + 0)*(-2*f + 3*f + 0*f).\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1564 = -u, 3*u = 5*q - 86 + 4790. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*b + 121 - 1270 - 262 = 0 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*(4230\/126 + -25).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -156365 (base 8) to base 3\nAnswer: -2212121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t = 3*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1056335 to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from {b: 2, e: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.24 + 4.52. Let d = 6.72 - 7. Let y = d + m. Put y, 2\/69, -2\/3 in ascending order.\nAnswer: -2\/3, 2\/69, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2. Let j(b) = -2*b - 129. Give j(v(g)).\nAnswer: -10*g**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5561, -8091, -10615, -13133, -15645?\nAnswer: -18151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohouuooouuoouo. What is prob of sequence hh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, o: 9}. Give prob of picking 2 e.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/3)\/((-184)\/146754168) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33123400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -5*s - 6*p, 10251*s + 4*p + 47 = 10246*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**7\/105 - h**6\/60 - 19*h**5\/6 + 25*h**4\/12 - 3*h**3\/2 + 2*h**2 + 109*h. What is the second derivative of y(o) wrt o?\nAnswer: 24*o**2 - 12*o - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n*u**2*x + 3*n - 6*u**4 + 2*u**2*x - u**2 - 3*u + 151*x wrt u?\nAnswer: -10*n*x - 72*u**2 + 4*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 35355*y**2\/8.\nAnswer: -y**2*(2*y - 35355)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4 + 0 + 7). What is the tens digit of -1 + -4 - h - -83?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 656*d**2 - 218*d**2 + 3.\nAnswer: -874*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 52, 187, 448, 877, 1516, 2407?\nAnswer: 3592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6*20\/(-18))\/(775\/2325)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*s = -1, -2*b = 13*s - 12*s - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u**(-2\/11))\/(u*u**(-1\/6)*u*u*(u**(-6\/7)*u*u)\/u))**(-1\/5) assuming u is positive.\nAnswer: u**(1921\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -20*d + 25*d - w, 4 = -4*w. Let l(i) = -i**3 + 3*i**2 + 7*i - 9. Determine l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a5 + 45?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31212101 + 122?\nAnswer: -31211313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 6:24 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 - 19*f**3 + 0*f**3 + 23*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -32. Calculate the greatest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.2, 10, 42, 0.17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + a0?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16817 - 4784. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*f - 247 = -176*f + 50. Let w be ((-10)\/(-4))\/(1\/2). Suppose 2*g = w*g - 63. Calculate the remainder when g is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 1234*p + 5 + 5 - 3742*p in the form m + o*p and give o.\nAnswer: -2508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + m = 22, -h - 6*m - 4 = -8*m. Which is the nearest to 3? (a) h (b) 3 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 8*d**2 - 5*d - 52. Let b(h) = -20*h + 4. Let p(f) = 2*b(f) + 3*w(f). Let n(x) = 8*x - 6. Give 7*n(t) - 6*p(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-124)\/(-4)*1)\/(-1). Let a = g + 43. Calculate the greatest common factor of a and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 12:20 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12705 - -13385. Calculate the remainder when j is divided by 178.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnnnwwwwnwwnnnnwww. Give prob of picking 1 w and 1 n.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03666 - -0.13666. Which is the fourth biggest value? (a) -248 (b) 4 (c) 0.2 (d) n (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158237 + -158207. Factor c*k + 0 + 3\/2*k**3 + 27\/2*k**2.\nAnswer: 3*k*(k + 4)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25709 greater than -25707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -6\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -82. What is the units digit of 6\/s + (-82)\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(48)\/sqrt(4))\/(2*sqrt(6)*-2).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -72?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 12*m - 32.\nAnswer: 2*(m - 8)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f - 7. Suppose -g + 5*z + 11 = 0, g + 2*z - 4 = -0*z. Is v(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69592543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9602018 and -14051?\nAnswer: 9587967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthxmmxxvtmxxxxxxhx. What is prob of sequence xx?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.6 + -47. Let t(j) = 2*j**2 + 10*j + 17. Let a be t(-3). What is the closest to h in 1\/2, 2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008552 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 7:27 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -105620.26 rounded to the nearest 10?\nAnswer: -105620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 19\/132*z**4 - 16*z**2 + 14\/11*z**3 - 1\/15*z**5 - 9*z + 0 + 1\/660*z**6. Let h(i) = 0. What is i?\nAnswer: -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/162 and 763\/(-133)*366\/162 - -13.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581856 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-1*sqrt(864))*-1.\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Suppose 2*z + 372 = r*q, 380 = -4*q + 8*q + 2*z. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8283.571 + 0.11.\nAnswer: 8283.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2) + 1 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 6. Is 6 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 6*s**2 - 5*s + 16. Determine k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 48 = -2*v, -4*v - 87 = -0*v - 5*b. Is -24 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 + 212. What is the closest to z in 3\/8, -4, -0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 307, 295, 275, 247, 211?\n\"Answer: -4*h**2 + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i + 20*i + 31*i)*(i**2 - 3*i**2 + i**2) + i**3 + i**3 - i**3 + (0*i + i + i)*(2 - 2*i**2 - 2) + 2*i**3 - 1 + 1 - 2*i + 2*i + 2*i**3.\nAnswer: -73*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -1. Let x = j + -7. Suppose x*d - 3 = 45. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -3*f**4\/4 + 2*f**3 + 8*f. Find the second derivative of y(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/p*p**0)\/((p*p*p**(-2\/5)*p)\/p**4) assuming p is positive.\nAnswer: p**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*o - 2)*(-o - 2*o + 4*o) - 98*o**2 - 164*o**2 + 91*o**2 + (1 - 4 + 7)*(4*o + 1 - 1)*(-2*o + o - o).\nAnswer: -205*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 g when three letters picked without replacement from kgmkjkuuguh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -dd7f?\nAnswer: -dd76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1069*q**2 + 7. Let t(d) = -3201*d**2 + 20. Determine 17*f(c) - 6*t(c).\nAnswer: 1033*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 4\/11, -2\/27, -28?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptpt when four letters picked without replacement from {p: 7, q: 1, g: 1, t: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246632 and 31877186.\nAnswer: 127508744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-25) + (-11)\/5. Let k be (-20)\/30*9\/s. Factor -8\/5*t**k + 12\/5*t**2 - 8\/5*t + 2\/5*t**4 + 2\/5.\nAnswer: 2*(t - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5473, 5444, 5415?\n\"Answer: -29*j + 5502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 24. Suppose 0 = -3*d + r + 5. Suppose d*f = -0*f. Sort f, 0.07, 0.4 in descending order.\nAnswer: 0.4, 0.07, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 89*p**4\/24 + 55*p**3\/6 + 24*p**2. Find the first derivative of m(v) wrt v.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*x + 190 - 466 = 514*x + 2010 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 + -38985\/202. Let f = s + 397\/1414. Which is greater: f or -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 41. Is 2 + -4 - j - -63 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2448153647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((7 - (7 - 51)) + (-6 - (-2 + -2))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*g**5 + g**4 - 16*g**3 + 197844*g**2 wrt g?\nAnswer: 13200*g**2 + 24*g - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + m + 4. Suppose 191*s = -40 + 326 + 287. Let v(u) = -u**2 + 3. Give s*v(y) - 2*t(y).\nAnswer: -2*y**3 - 3*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 3, -13, -0.3, -4, 14.\nAnswer: -13, -4, -0.3, 3, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrfffrcrr?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 0.07, -0.2, -5 in ascending order.\nAnswer: -5, -0.2, 0, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17747 or 195218\/11?\nAnswer: 195218\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7237, 28930, 65083, 115696, 180769, 260302?\nAnswer: 354295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3700*m - 18506. Give c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 605\/66)*(-6)\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvewbiaaiaibeaaaaai. What is prob of picking 1 e, 1 v, and 2 b?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19049 + 19047. Let v = 1.2 + -0.7. What is the nearest to q in -3\/4, v, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-18))\/(2\/(-3)). Let b = -8 + 10. Suppose 0 = -b*y + 29 + 11. Solve -i*a + y = 2*t, -a - 3*t = -5*t + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 373*c**2 - 75*c + 192. List the prime factors of o(11).\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*q**3 - 727257*q**2 + 362390699*q?\nAnswer: -348*q - 1454514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Suppose -v*k - 3 - 3 = 0. Let l be (-6)\/(-9)*3 + k. Which is the closest to l? (a) 5 (b) -0.3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, 29, 101, 193, 311, 461, 649, 881?\n\"Answer: b**3 + b**2 + 48*b - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 6*z + 0*z + 4*z + 0*z - 5*z + 5*z - 7*z + 5*z + (-2 + 2 + 2)*(-4*z + 6*z + 0*z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9\/((-72)\/(-224)) + -4 + 0 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((sqrt(88) + -1*sqrt(88)*-1 + sqrt(88) + sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88))*-6)\/(sqrt(800) - -1*sqrt(800)*2))**2.\nAnswer: 12*sqrt(11)\/5 + 199\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 119*h**2*i*o**3 - 2129*h**2*o - h*o**3 + i*o**3 + 45953*i*o - 3*i - 10*o wrt h?\nAnswer: 238*h*i*o**3 - 4258*h*o - o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 53, 36, 1, -58, -147, -272, -439?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182.4 + -5136.\nAnswer: -4953.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - j - 4. Let l(y) = 933*y**2 - 3*y + 1446. Let k(i) = l(i) - 5*t(i). What is the second derivative of k(v) wrt v?\nAnswer: 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15846684 divided by -3961671?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 4, n: 4, v: 1, e: 1, x: 8, g: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*m = -4, 2*v + 2*m + 2 + 2 = 0. Let d = -7914\/11 + 720. Which is the biggest value? (a) v (b) d (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166833\/14 - -11936. Let z = -2614596 - -292837487\/112. Let k = z - p. Find the common denominator of 19\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90545.21 millilitres to litres.\nAnswer: 90.54521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*-5*(0 + sqrt(500))*-3*4.\nAnswer: -3600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500, 1028, 2558, 4090, 5624?\nAnswer: 7160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 37914 + 203594 = -1501*d for d.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1246)\/(-890))\/((-21)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 - 0.07. Let i = -3 + 4. Let s = 0 + i. Put s, -0.1, u in ascending order.\nAnswer: -0.1, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106157 - 16157. What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:10 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**7\/21 - 107*k**5\/20 + 43*k**4\/6 - k**2 - 324*k. Find the third derivative of h(q) wrt q.\nAnswer: -120*q**2 - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3 - 119168*q**2 - 595815*q = 0.\nAnswer: -119163, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-49)\/14 + 1\/2. Let x be -5*(-1)\/h*9. Let p be x\/(-10)*(-1)\/3. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72041 by 4.\nAnswer: 72041\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/42)\/((-6)\/(-84))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -5*x. Let c be (2 - -1) + (-27)\/x. Let l = -8 - c. Calculate the highest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53741.\nAnswer: 61, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6)*-3)\/(2\/(-10)). Let d(s) = s**3 - 6*s**2 + 6*s - 1. Let h be d(r). Solve -4*t - 5*a - 45 = 0, 4*t = h*a + a + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(833) + (2*sqrt(833) - sqrt(833))*2)**2 - sqrt(833)).\nAnswer: -7*sqrt(17) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 61. Find the second derivative of -9*b**3 - 13*b**3 - 2*b**d - 7*b + b**3 wrt b.\nAnswer: -138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.324 and 0.1.\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfz when three letters picked without replacement from {f: 10, z: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1518365383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - z + 3*z)*(0 - 2*z**2 + 0) + (-4*z**2 + 3*z**2 - z**2)*(-2*z + 3*z + z) in the form u + q*z**2 + c*z + r*z**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 196873 = 196871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-3) - 5)\/((-1)\/15). Solve 0 = -2*w + 3*t - t + 14, p = -t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 87169?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 24b?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 7828304229.\nAnswer: 7828304231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) - (-27)\/12. Suppose 2 = w, -3*z - 2*w = q*w - 23. Let n(y) = -y**2 + 2*y - 2. Let m(i) = -3*i**2 + 5*i - 5. Give z*n(x) - 2*m(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 19*w + 4. Let y(q) = 5*q**2 - 39*q + 6. Let t(m) = -7*l(m) + 3*y(m). What is t(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2448)*2 - sqrt(2448)) + 5 + (-2 + sqrt(2448) + sqrt(2448))*-3 + 1 + 5)*1)**2.\nAnswer: -4488*sqrt(17) + 296497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84 or -85?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6741.58092 to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-704)\/9)\/16 + 0 + 4.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 711*q - 714*q + 18, -5*h - 3*q = -26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 111 = r, 162*u = 2*r + 165*u - 231. Solve 14*w = -5*w + r for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2634 + 2517.9. Let n = -110 - z. What is n rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 - 444*x**2 - 448*x + 69. What is s(112)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-3))\/4 - 70\/15. Let u = 3 + 0. Suppose -5*o = 2 + u. Sort -3, l, o in descending order.\nAnswer: o, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(7) + 2 - sqrt(14)\/(sqrt(2) + sqrt(242) + sqrt(2)).\nAnswer: 2 + 38*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/7)\/((-13)\/91) - -1. Suppose 5*w + m*w - 8 = 0. Which is greater: -15\/38 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220532 divided by -25.\nAnswer: 220532\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9. Suppose d + 50 = 3*u - 3*d, b = -5*u - 4*d + 30. Solve 0 = -4*z + 2*i + 1 - 5, 5*i - u = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 54162.\nAnswer: 216648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 13. Suppose 0 = 3*o + 4*t, o = w*o - 3*t. Does 13 divide 37 + (o - -4)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + 2*l + 2*l + l + 2*l - l + (-2*l + 0*l + 4*l)*(-2 + 4 - 1) - 3*l + 6*l - 5*l - 6 - 7*l + 5 + 3*l.\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -8355667100 to the nearest one million.\nAnswer: -8356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 148 + 203 = 0. Calculate the lowest common multiple of 126 and w.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-366 - -455) + (20 - 250)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.8 - -88. Which is the third smallest value? (a) -3 (b) v (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*x + 0 = -31, 9 = -3*x. Suppose i - 4 = 13. Let h be (-16)\/4 + 5 + 1. Solve h*v - 31 = t*q, -4*v = -q - 0*q - i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-12)\/(-2) - 6\/(-2). Let b(c) = t*c - 2*c - 13*c. Let l(f) = -f**2. Calculate l(b(w)).\nAnswer: -225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27662, -27662, -27660, -27656, -27650, -27642?\n\"Answer: f**2 - 3*f - 27660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 178047 = 421953. Let u be (z\/(-2))\/(7\/287). Round u to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + w + 1. Let f be h(1). Suppose -6*u + 63 = -63. Let r = -27 + u. Sort f, r, -1 in decreasing order.\nAnswer: -1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 44494758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.432268 months in decades?\nAnswer: 0.1952689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r + 35. Give m(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*z - z - z**3 + z**3 + 5*z**3 as h*z**2 + j*z**3 + m*z + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (5 + -1 - 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 11 + -81 + 83 - (2 - 11)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1402505\nAnswer: -4\/1402505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 409619380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 196920\/108*12\/5. Suppose 19*t = -424 + p. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 35 = -c - 6 - 100, 66 = -c - a for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 9 = -3*w, -66 = 2*o + 561*w - 651*w for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 4)*(-197 + 197 + t) to the form c + h*t and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 31*x**2 + x + x - 33*x**2 - 2*x. Let u(d) = 126*d**2. Give h(u(o)).\nAnswer: -31752*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 10 - 1 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 - f + 2. Let y be l(0). Suppose -5*q = 0, y*o = 3*o + 4*q. Let p(b) = b - 12. Let s be p(16). Solve o = -s*z + z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.26 - -0.26. Let p = 22.34 + i. Let a = p - 0.24. What is the nearest to 1 in -0.5, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.22 (b) -3 (c) -4 (d) -3\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-5)\/30). Suppose -f*u + 11 = 5*h, 0 = -3*u + 4*u + 3. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 12, -7, -26, -45?\n\"Answer: -19*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 96 = -2*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c**2 + 3. Let f(v) = -1104*v**2 + 208. Determine 6*f(t) - 416*g(t).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 2:32 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574 is divided by 130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*w - 19, -l - 2 = -w + 1. Suppose g - w = -0*g, -4*b = g - 1197. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92200 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2. Let l(n) be the first derivative of 419*n**3 + 773. What is l(j(m))?\nAnswer: 1257*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*j - 1104 = 0. Let f = j + 5519\/20. Let p = 495 + -3983\/8. Calculate the common denominator of p and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6017372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 89 = g + 47, -84 = -2*n - g. Let h = n - 46. Put 0.5, -0.4, h in decreasing order.\nAnswer: 0.5, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**8\/336 + o**5\/60 + o**2\/2 - 3*o. Let q(k) be the first derivative of z(k). Find the third derivative of q(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**2 + 76*h + 20. Let c be n(-15). Solve c*d = 4*y + 7, -7*y + 2*d - 1 = -6*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.17, 2, 1, -3, -14.93?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*p - 8360 = 12*p. Put -2\/5, -2, p in decreasing order.\nAnswer: -2\/5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53060968 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 3*g + 27, 3*v + g - 37 = 3*g for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s + 6. Let c(q) = q**3 - 54*q**2 + 290*q - 10. Let p be c(6). What is y(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 + 76 + 85 + 13162*d.\nAnswer: 13162*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -870.1 + 870.09999917. Round a to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 294*f + 5703. What is u(21)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/17, 8, -0.06, 28, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 2\/3*p**3 - 3*p - 2 + p**2. Let z(x) = -3*x - 2. What is 2*l(i) + 3*z(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218609799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 2548?\nAnswer: 68796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let y(t) = t - 8335199. What is y(x(n))?\nAnswer: n - 8335199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(-2))*1. Let y be ((-2)\/(-3))\/(5 - (-52)\/12). Which is greater: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -256 + -3?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, 3, 1\/6 in ascending order.\nAnswer: -21, 1\/6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9007897 is divided by 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/5 + 11058*u**2\/5 + 6627*u - 44196\/5.\nAnswer: 3*(u - 1)*(u + 4)*(u + 3683)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-11))**37)**(-31))**(-1\/3) assuming l is positive.\nAnswer: l**(-11470\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 + 12*m + 4*m**2 - 5*m**3 - 12*m = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/6*(23\/4 - 5). Suppose 0 = 2*b - 28 + j. Let m = b - -28. Solve 12 = 4*v, 0 = 5*g - 3*v + m - 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557193.\nAnswer: 3, 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.16 + -24.1. Let y = -0.06 + x. Let l = -0.08 + -2.92. What is the nearest to y in l, 1\/4, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 46 (c) -7 (d) 0 (e) -3 (f) -8 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2, 1\/25131307 in descending order.\nAnswer: 1\/25131307, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 + 8*p)*(-428 - 18*p + 867 - 437 + 6*p**2) + 2*p**3 - p**3 - 2*p**3.\nAnswer: 47*p**3 - 144*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 5*i - 4. Give q(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -30 + 44. Solve -4*m + x*m - 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 + -20.86. Let w = -22 - y. Which is the second biggest value? (a) 0 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p - 128*p = 108. Suppose 0 = -5*k - 93 - 67. Let t be -10*p\/k - -4. Which is the nearest to 2\/7? (a) t (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cylfleyq. Give prob of picking 1 y and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**8\/1344 + b**7\/420 + b**6\/120 - b**5\/120 - b**4\/32 + 24*b**2. Suppose z(j) = 0. Calculate j.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 258*p**2*q + 14*p*q**2 + 15211*q**2 with respect to p.\nAnswer: 516*p*q + 14*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**6*x*x**(-12)*(x**(3\/4)*x*x)**(1\/3) assuming x is positive.\nAnswer: x**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*q**2 + 988759*g - 5497620*q**2 + 29 with respect to q.\nAnswer: -4*g*q - 10995240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 206?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-2 + 0 - -3). Let k be 0*3*u\/6. Suppose r - 4*d - 6 = 3*r, 4*r - 5*d - 1 = k. Which is the third smallest value? (a) r (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 80*f**2 + 310*f + 826. What is q(-36)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-18)*(102\/(-374))\/((-7)\/11).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -14. Suppose 2*a - 24 = -2*a. Calculate the remainder when g is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278429 and 28?\nAnswer: 7796012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 4*b**2 - 8881 + 4*b**2 - 3*b**2 + 5*b**2 - b.\nAnswer: b**2 - b - 8881","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38543 - 2?\nAnswer: -38545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 199*a - 72*a - 37*a - a + 3*a - 3*a + (-3 - 2*a + 3)*(2 - 2 + 2) - 2 + 2 + 2*a - 3*a + 4*a + 4*a + (2 + 3 - 7)*(a - 2*a + 3*a).\nAnswer: 88*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 67, -2, 2 in decreasing order.\nAnswer: 67, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h*h**(1\/22)*h))\/(h**(-4\/3)*h)*h**(4\/7)\/h**(-1\/6))**(5\/7) assuming h is positive.\nAnswer: h**(780\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*((-486)\/(-45))\/18?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 19. Find the second derivative of 0*m**4 + 4*m**4 - 4*m**4 + s*m**5 - 22*m wrt m.\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*f + 126*f = 3. Let v(g) = -2*g - 4. What is v(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 + -3?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - 16.5. Let t = x + 12. Let m = -18.07 - -18. What is the biggest value in t, m, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*d + 43 = 0, 0 = -4*a + 2*a + 5*d + 21. What is the remainder when 115 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w)**(-8\/7) assuming w is positive.\nAnswer: w**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -777395, -1554797, -2332211, -3109643, -3887099?\nAnswer: -4664585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 - (-26)\/(-10). Let g be -3 + (l - -6) + 3. Let 190 + 20*p**3 - 190 + g*p**5 - 16*p**4 - 8*p**2 = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*d + 3*d**2 - 25*d - 2*d**2 to g*d**2 + a*d + h and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let h(i) = i - 2 + c - 2. Let s be h(4). Solve s = 4*m + 4, -3*m = 4*u - 1 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 13. Suppose 4 + u = -4*l. Which is greater: -3\/4 or l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 3913*o**3 + 3915*o**2 + 3913*o - 3914.\nAnswer: -(o - 1)**2*(o + 1)*(o + 3914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 4*c - 4. Let a(q) be the first derivative of -q**3 - 7*q**2\/2 - 8*q - 2. Let f(b) = -4*a(b) + 7*o(b). Differentiate f(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 92.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/2 (b) -0.3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 25. Let b be p(-4). Is -30 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.2. Let g = -83.8 + -34.7. Let k = g - -118. What is the closest to a in k, 1\/2, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 382207 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8605, -8155, -7705, -7255, -6805, -6355?\nAnswer: -5905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - l = 2*l - 117, -3*l - 87 = -3*a. Let o = a - 22. Solve 0 = 4*x - x - o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-227 + 227 - 10*k)*(-1329*k**3 - 1461*k**3 + 3463*k**3) in the form q*k**4 + y*k + g*k**2 + d*k**3 + o and give q.\nAnswer: -6730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnkkkwkkw. What is prob of picking 2 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 8*h**2 - 7*h + 5. Suppose -16 = 2*m - 5*g, 20 = -g + 6*g. Suppose 5*l = m*l + 15. Calculate the remainder when v(l) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18)*p**8*p*p**(-17\/2)*p**(2\/31)\/p)**(2\/13) assuming p is positive.\nAnswer: p**(-1143\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76)*2 + 3 - sqrt(76) - sqrt(76)))) + 5 + -1 + sqrt(76) - (3 + (sqrt(76) + (-1 + sqrt(76))*5)*3))**2.\nAnswer: -884*sqrt(19) + 22133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6262, -25060, -56368, -100174, -156466, -225232, -306460, -400138?\nAnswer: -506254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 756, 762, 768, 774, 780?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4952625, 9905313, 14858067, 19810887?\nAnswer: 24763773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 150780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 756*q**4*w**2 - 4076*q**2*w**3 + w**3 + 4*w - 118993 with respect to q.\nAnswer: 3024*q**3*w**2 - 8152*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - (3 - (4 + 3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/14)\/(2\/7). Let a be (-130)\/39*(1 - (-5)\/h). Let y be 1 - 3 - ((1 - -4) + a). What is y rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/49 (b) 0.3 (c) 8\/467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - 11. Let p = f + 26. Suppose 5*i = -p*y + 38, 7*y = 2*y + i + 95. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704165 and 25165.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 20*q = -15652. What are the prime factors of q?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(3 + sqrt(275)*3 + 3 + sqrt(275) + sqrt(275) + sqrt(275)*-2))**2 + -3.\nAnswer: 8640*sqrt(11) + 120525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3849790 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -6*b - 135. What is the highest common divisor of 108 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-15))\/((-3)\/16*(-26)\/(-117))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212100002 - 201?\nAnswer: -212100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y**2 + 55*y - 7. What is m(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4 - 4*n**4 + 50*n**3 - 20 - 68 + 11*n**4 - 50*n + 368 - 285*n**2 = 0?\nAnswer: -14, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - o**3 + o**3 - o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/24 - 1089\/(-12). Suppose 8*r = f - 10. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102870.4 rounded to the nearest one hundred?\nAnswer: 102900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4607?\nAnswer: 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-2555)\/(-5) - 2. Calculate the greatest common factor of a and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 + -406. Suppose -5*j + j = 3*y + 8659, 8652 = -4*j + 4*y. Let k be (j\/p - 4) + (-1)\/(-6). Is k at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.085892692 to 3 decimal places.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 284894 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -337+145271504.6\nAnswer: 145271167.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 1221*n**4\/4 + 1084*n**2 - 277*n. What is the derivative of s(c) wrt c?\nAnswer: 7326*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 3*d**2 - 1. Let x be r(3). Let u = x - -15. Let v = 19 - u. Which is the closest to 0.1? (a) 0.3 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6659 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1733451*q - 5703783 wrt q.\nAnswer: -1733451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3373*u**2. Let b(v) = -4*v. What is b(i(j))?\nAnswer: 13492*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**19)**(-2\/37)*h**(-12\/11)\/h**6)**(-10\/9) assuming h is positive.\nAnswer: h**(33040\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 105801362, 211602725, 317404090, 423205457?\n\"Answer: m**2 + 105801360*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f + 31*f + 14*s - 70 = 0, -2*f - s + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c**3 - 2. Let t(f) = 36*f**3 + 6*f**2 + 5*f - 5. Determine -2*m(i) + t(i).\nAnswer: 4*i**3 + 6*i**2 + 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.5 (c) -12 (d) 22748 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -365095255 to the nearest 10000.\nAnswer: -365100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00214742 to five dps.\nAnswer: 0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.4 - -31. Let i = 886.98 + -902. Let d = i + v. What is d rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58288)\/53592 + 84\/77)\/((-5)\/(-35)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxtx when four letters picked without replacement from {x: 5, e: 3, l: 2, p: 6, s: 1, t: 2}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56, 172, 480, 1076, 2056, 3516?\n\"Answer: 16*r**3 + 4*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.2764560957.\nAnswer: -3.2764560957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20041683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -1\/9 (c) 3 (d) 0.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -161, -366, -653?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 27*v + 84. Let k be i(-3). Solve -5*u + 5*x = -3*u - 21, -4*x - 3 = k*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + sqrt(833) - sqrt(17)) + 1)**2.\nAnswer: 12*sqrt(17) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*x = 37, -g + 0*g - 4*x + 17 = 0. Let -g*b**2 + 5*b**3 + 1\/2*b**5 - 5\/2*b**4 - 1\/2 + 5\/2*b = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -129 and 24567.6.\nAnswer: 24438.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*w**2 + 182*w**2 - 92*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 0. Let u be p\/(-8) - 2 - 2. Let i(b) be the second derivative of b**4\/3 - b**3\/2 - b**2\/2 - b. Let f(z) = -z**2 + z. What is u*i(d) - 5*f(d)?\nAnswer: d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 73*a**3 + 4*a**2 + 6*a - 8. Suppose 22*h - 3 = 21*h. Is o(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, u: 13}. What is prob of picking 3 j?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-374)*10\/45*42\/8.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1 (c) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 - 123. Let t(v) = -v - 1. Let q(u) = 28*u - 26. Let y(n) = k*t(n) - q(n). What is the derivative of y(r) wrt r?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.822 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let d = -224 - -380.4. Let w = -156 + d. Which is the third smallest value? (a) -5 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*a**2*t**2 + 2*a**2 - 2*a*t - 5*a + 20*t**2 + 3*t wrt t?\nAnswer: 380*a**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, -5, 9, 29, 55, 87?\n\"Answer: 3*o**2 - o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + 28. Let w = z - 90. Factor 5*j**w + 0*j**2 - 15*j**2 + 81 - 61.\nAnswer: 5*(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85920?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 2*j + 1. Let h(t) = -t**2 + 2*t. Let u(l) = -h(l) + p(l). Suppose -3*r - 7 = 5*z, 4*z + 11 = -3*r + 3. What is u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -14, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165640 and 198768.\nAnswer: 993840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1460, -2, 2\/7, 0, -1\/4 in descending order.\nAnswer: 2\/7, 0, -1\/4, -2, -1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = 3*k + 2*k - a, 0 = -5*a. Let d = 70 + k. Let f be 2 + ((-276)\/33)\/d. Sort -3\/7, -2\/11, f in decreasing order.\nAnswer: f, -2\/11, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*v + 73*v = 18. Let w(n) = -n**2 - 6*n + 26. Let f be w(v). Suppose 7*t = 4*t. Put f, 5, t, 2 in descending order.\nAnswer: 5, 2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 431*10\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 263*u - 1397. Determine m(-126).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 752 + -748. Solve 0 = x + z*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27761\/8 + 3459. Calculate the common denominator of f and 19\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2\/7 (c) -7.2 (d) 11 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39741 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m - 45*m + 19*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -437*n**3 + 3429*n - 3429*n + 3481*n**2 wrt n.\nAnswer: -2622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113005 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/60)\/(((-3)\/(-135))\/1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/80 + n**4\/48 + 3*n. Find d, given that l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i. Let g(c) = 55*c**3 - c - 1. Let h(t) = -2*b(t) + g(t). Is h(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119188.\nAnswer: 2, 83, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/120 - (-435)\/1044.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.92. Let i = -0.08 + m. What is the closest to i in -5, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1082 + -1031. Sort n, -5, 4 in increasing order.\nAnswer: -5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -8. Let z = 7 + 8. Let h = l - z. Which is the nearest to 1\/2? (a) -3 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1210) - (sqrt(1210)*-1 - sqrt(1210)))\/(sqrt(2)*-2*-3) + ((-2*sqrt(200) - sqrt(200))\/sqrt(8))\/(sqrt(30)\/sqrt(150)) + 1)**2.\nAnswer: -19*sqrt(5) + 1809\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724, 1447, 2172, 2899, 3628?\nAnswer: 4359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - y**2 - 22*y**2)*(-200*y - 6050 + 3028 + 3023).\nAnswer: 3800*y**3 - 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 - (4 + -1))*15*3 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*j, j + 7 = 5*b - 13. Calculate the greatest common divisor of 45 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/683 - -1345\/4781. Which is the closest to 0.1? (a) l (b) -13\/4 (c) -0.4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-45)\/(-18))\/(3\/6). Solve -39 + 14 = -w*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, -13814, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 21*t = 3084. Suppose 2*b + 309 = 2*n + b, -5*n + 4*b = -t. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 3. Let y be r(0). Suppose 0 = -0*c + 2*c + 10. Sort 1, y, c in increasing order.\nAnswer: c, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 2*m. Let v(q) = -q - 399 + 398 + q**2 + 2*q. Let a(h) = 4*h**2 - 3*h - 6. Let d(s) = m*v(s) - a(s). Give d(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 - -38. Let b = c - -137. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 9. Solve -4*q = -0*t - 5*t + j, 5*t - 10 = -5*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-400)*4*-6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/910*(-7)\/(-89622). Let k = a + -2663729\/4032990. What is the common denominator of -139\/6 and k?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 5*i**2 - 10*i + 13. Let h be n(4). Let b = -129 + h. Differentiate -162*k**4 - b + 159*k**4 + 15 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*b - 88*b - 13*b + 23*b + 2 + 1644*b**4 wrt b?\nAnswer: 19728*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42154572139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. What is the third derivative of -4*m**2 + 18*m**6 - 15*m**6 + r*m**2 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -617 and 5.\nAnswer: -3085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*v**3 + 2*i**2*v + 7*i**2 - 2972*i*v + 654028*v**3 wrt v?\nAnswer: -12*i**2*v + 3924168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-4)\/8). Let b(u) = -u - u - 9*u + f - u**2 - 3*u. Let k be b(-11). Is k at most as big as 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/((-11)\/8778). Let q be g\/(-126) + 4\/(-18). Suppose -5*m + 2 = -q*m. Which is the third biggest value? (a) 8 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + -2.92. Suppose 0*j - 4*p = -3*j + 1, -7 = 3*j + 4*p. Let m be 1 + (-10)\/(-6)*j. Which is the second smallest value? (a) 0.2 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 18*v**2 + 18*v - 47. Let s be p(-19). Let h(g) = -45*g - 356. Is 8 a factor of h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 7) to base 3\nAnswer: -221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 24d?\nAnswer: 24e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4014*a**2 - 4*a + 20. Let f(c) = -c**3 - 8*c**2 - 16*c - 18. Let i be f(-6). Let g be y(i). Round g to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4546986?\nAnswer: 2, 3, 631, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:08 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*x + 1. Let f(y) = 67*y + 108*y + 35*y - x. Is f(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28022024 to the nearest integer?\nAnswer: 5294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, y: 5, w: 4, k: 4}. Give prob of picking 2 w, 1 k, and 1 y.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*a + 37*a - 111*a + 35*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**4 + 410*v**3 + 9885*v**2 + 60680*v + 109520 = 0?\nAnswer: -37, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 5*q + 189. Solve o - 10 + 2 = v, -q = 4*v - 3*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t + 3688 = 4392 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8580703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/9 and 57\/214.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*n + 4, 2*j + 8 = -2*n - 8. Let d be n + (319 - -5)\/3. Suppose 2*u + d = 354. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v - 15*v - 3. Solve 3*y - 2*y = -2*x - v, -2*x + 14 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271480383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 673856a + -22?\nAnswer: 6738548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 - 176415*m - 2823920 = 0.\nAnswer: -16, 35299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28308 by -28.\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5467*b - 4508*b + b**2 - 24140*b.\nAnswer: b**2 - 34115*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(3\/16))**(-1\/54) assuming m is positive.\nAnswer: m**(-1\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1358 (base 16) to base 15.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 61, -4 in decreasing order.\nAnswer: 61, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 8 = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-24 + 16 - (-26 + 3) - 34).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/493 - -995\/4437. Let i be (-4)\/16 + (-5)\/(-4) + 18. Let t be (-1 + 20\/i)*1\/(-1). Which is the third biggest value? (a) t (b) 0 (c) 4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2881 - -1478. Let v = d + 2035. What are the prime factors of v?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*u - 8. Let s = u - 26. Calculate the smallest common multiple of s*(-2)\/12*-18 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40054081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000243 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1664 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 15 = 0. Let b(t) = -7*t - 15*t + 3 - y*t. What is the units digit of b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 14. Give y(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 3*q**2 - 1. Let j be v(4). Solve 7*x = 2*x - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 - 3*v - 5. Let b(u) = -6*u + 2 + 5*u**2 + 10*u + 3*u + 4 - 3*u. Calculate 5*b(z) + 6*x(z).\nAnswer: -5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:28 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/117 - 356\/(-801))*-10 + -1.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5 - 114928*u**4 + 1264616*u**3 - 2184432*u**2 + 1034748*u = 0. Calculate u.\nAnswer: -28743, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**4\/8 + z**3\/4 - z\/4 - 20. Find x such that o(x) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.2697631 - 36.269763. Let g = 0.05 + -4.05. Let w = g + z. What is w rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 5*n**8\/56 + 2*n**4\/3 + 22*n. Find the third derivative of a(i) wrt i.\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 3*w**2 + 878*w - 50. Calculate the lowest common multiple of p(31) and 520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 5*f)*(-69*f**2 - 103*f + 103*f) + (2*f**3 + f - f)*(-5 + 3 - 3) as s*f**2 + a*f + r + m*f**3 and give m.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16790 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (180 + 18*v - 180)*(5 + 1 - 4)*(3 - 6 + 1)*(-2 - 9*v - 2*v - 6*v) to p + c*v**2 + j*v and give c.\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3290 by 658.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j - 4*o - 4 = 0, 0 = j + 4*o + 4. Suppose j = 4*c + c - 35. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196956*w**3 - 5*w + 5*w - 196952*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = -s + 1, j + 1 = -s. Suppose 12 = l + 2. Let f be (-6)\/15 + 124\/l. Solve -v = j*v + f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15470*z**3 + 125*z**2 + 25*z. Let q(j) = -1289*j**3 - 10*j**2 - 2*j. Give -2*a(r) - 25*q(r).\nAnswer: 1285*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 5. Let d be p(5). Suppose -n + 3*g + 15 = n, n + g - d = 0. Suppose -o - 3*u - u = -6, -o - u + n = 0. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10163 + 10218. Calculate the remainder when 263 is divided by i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 82023276.\nAnswer: -410116380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -68\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5257228 is divided by 4189?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 741155.9 millimeters?\nAnswer: 741.1559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142017 - 0.3.\nAnswer: 142016.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11 - 214*b + 24 - 10)*(-5 + 1 + 1)*(-5*b + 10*b + 12*b).\nAnswer: 10914*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -2 + (1 - 2) + -1. Suppose n*g - 5*g = -g. Suppose -4*w + x + 7 = 6*x, g = -2*w + 3*x + 31. Calculate the smallest common multiple of 74 and w.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 135\/(-108)*((-176)\/20 + 8). Let p + 1\/2*k - 1\/2*k**2 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -42*d**2 - 28*d. Let w(l) = -l**2 - l. Give -j(f) + 28*w(f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 238*d + 70 = -236*d, 14*u + 4*d = 196 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 101033*d**3 + 8 + 101032*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 87 = -5*y, -3*y - 1669*j + 55 = -1671*j for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1557 divided by -3488.\nAnswer: 1557\/3488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 22*b + 3. Let q be k(11). Is 5 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 998676?\nAnswer: 998676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 2\/13 (c) -2 (d) -0.9 (e) 3 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 11*c - 23. Let l be a(-13). Suppose -i = l + 7. Let t = 32 + i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 2. Let r = 9 + -6. What is the third derivative of 0*b**r - 2*b**3 + 0*b**3 - 2*b**z wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h - 7*h + 231. Solve h = -4*i - d, -3*i + d - 2 - 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -547170.2 to the nearest one hundred.\nAnswer: -547200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*c = -166*c - 2. Suppose -c*v + v = -3*o + 6181, 4 = -v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 4*t - 5*o - 132 = 24, 56 = t + 3*o. Calculate the highest common factor of q and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19.4, 642, 0.2?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 9. Sort 3, l, -9 in decreasing order.\nAnswer: 3, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27216194201 - -0.7869.\nAnswer: -27216194200.2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**3\/t)\/t)))\/(t*t*t**3))**13 assuming t is positive.\nAnswer: t**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1512 or 1513?\nAnswer: 1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -12*k + 94. Let g be (8\/(-2) + -2)\/(-7). Which is the closest to -0.1? (a) 3 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 1577 (c) -3\/8 (d) -0.5 (e) -0.02 (f) 120\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -1 - (-781 + 922 + -1 + -19).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 60. Let q(t) = -12*t**2 + 63*t + 21. Let g(d) = d**2 - 6*d - 2. Let f(v) = 63*g(v) + 6*q(v). Give n(f(x)).\nAnswer: -18*x**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 148 and -9.422.\nAnswer: 138.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 135*x**3 - 435*x**2 + 65*x - 2. What is p(3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 1\/9, 2, 0.07, 1\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/(-45))\/11*(-428)\/214?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 11 = 17. Suppose i*b = 4*b + 406. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 - 6. Let t = -0.8 - -0.3. Let u = 0.3 + t. Which is the smallest value? (a) u (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0, -11, -3, -395 in descending order.\nAnswer: 2, 1, 0, -3, -11, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k**2 - 1. Let s be c(1). Let r be 8\/s + 90921\/5. Suppose 5*f = 7185 - r. What is f rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*w - 2*w. Suppose 14 = n - 3. Calculate the remainder when ((-2)\/(-4))\/(w\/260) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3412 = -4*j, -5*k - 5*j = -2*j - 3391. Suppose -5*h = 3*p - 0*h - k, -4*h = -p + 238. Is p a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.9 + -7.1. Let i = -27 - n. Let k = i - 0. Sort -1\/3, k, -2.\nAnswer: -2, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325949442.\nAnswer: 2, 17, 53, 735821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -424018 (base 9) in base 13?\nAnswer: -8aa7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -607934429030938.9999844 - -607934330752024. Let m = f - -98278846. Let p = m + 69. Round p to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75.3473 * -0.06.\nAnswer: -4.520838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 10 = 2*o, 3*n + 6 + 0 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:49 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5382 + -5368. Solve 9*t - 7*t + v = -4*a, -5 = t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c = -159*c + 48*c - 4294 + 16 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2755 and 12035?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 6:10 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*d - 12 + 11, -4*d + 7 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83.4 - 82.4. Let m = -1.03 + 1. Let j = -1 + 6. What is the biggest value in j, m, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1243 - -1747. Suppose v = 13*v - h. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 25*a - 12. Let x(z) = 6*z**2 - 51*z + 27. Give 9*c(j) + 4*x(j).\nAnswer: -3*j**2 + 21*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241269\/8 or 30158?\nAnswer: 30158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/(-28) + 1*(-58)\/(-8). Suppose -8 = -2*r - 5*h, -4*h - d = -5*r - 21. What is the smallest value in r, -4\/3, -2\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - f + 1. Let y(w) = 14*w**2 + 313*w + 4802. Let v(i) = -3*r(i) - y(i). Factor v(z).\nAnswer: -5*(z + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 21 - 39 = 0. Let f = 294 - q. Suppose f = 8*w - 5*w. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6599 is divided by 664.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218*0.4.\nAnswer: -87.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:23 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851 - -1.1?\nAnswer: 1852.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4445, 4411, 4377?\nAnswer: 4343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/18*75 - (-2)\/(-12). Suppose 2*o - 20 = -4*f, 5 = -f + 3*o - u. What is the remainder when 0 + 1 - (-10)\/1 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 303*a**2 - 3860*a - 60928\/3.\nAnswer: -(a - 896)*(a - 17)*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-2 + t + 2 + (-2 + 3*t + 2)*(-2 - 1 - 45)).\nAnswer: 143*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -24804 (c) -4 (d) -3 (e) -0.2 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244060948 to the nearest integer?\nAnswer: 15622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3 - 15 = 0. What is the nearest to f in 1, 1\/5, 2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4973670.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317152201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 0.3, 0.6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 763 and 1078.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 - (0 + 22 + -44)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m + 22. Calculate s(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, q: 7}. What is prob of sequence uquu?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8799.98 milliseconds?\nAnswer: 8.79998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.213919*-7.\nAnswer: -1.497433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231 - 233 + g**2 + 459 to d*g**2 + t + j*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 1, w: 5, v: 1, f: 3}. What is prob of picking 1 w and 1 f?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -77 and 14.508.\nAnswer: -62.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32568 is divided by 10838?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21012450 + -3?\nAnswer: -21012453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:42 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3\/5 + 1924*g**2\/5 + 218598*g\/5 + 168696 = 0.\nAnswer: -99, -4, 1065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29997, -119891, -269603, -479043, -748121, -1076747, -1464831?\nAnswer: -1912283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + sqrt(891).\nAnswer: -9 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58, -120, -186, -256, -330, -408, -490?\n\"Answer: -2*b**2 - 56*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 89*q**2. Let p(z) = 4*z**2. What is g(p(u))?\nAnswer: 1424*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*q - 4*q. Suppose -2*v = -5*w + 267, 5*v = 3*w - q + 2. What is the greatest common factor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1344*c - 6767. Calculate l(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/93*7)\/(12\/(-144)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/14*503\/(-131). Let v = -3\/131 + s. Let o(b) = -14*b + 279. Let y be o(20). Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 116.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.18, -2\/155, 13, -0.5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 + 2)*-1)\/7. Let o = -0.4 + -5.6. Let a = o - -6.3. What is the second smallest value in a, -2\/13, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -2 + 162\/6. Suppose w - p = -2*w. Suppose w*n = 12*n - 16. Calculate the smallest common multiple of n and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6. Suppose 4*t - 20 = -g*c, -6*t + c = -t - 18. Let r = t - -1. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 81744.\nAnswer: 5722.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 382 - 722. Let g = k + 339.9998088. What is g rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*a - 123. Let o = 21 + a. What are the prime factors of 290\/35 + o\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u**3 - 18615*u**2 - 8137*u + 4652. Give y(-1163).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/4680 and -97\/234?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(11) + 1)*1)**2 + ((0 + sqrt(1584))*4)**2.\nAnswer: 2*sqrt(11) + 25352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69881 = -255*k + 69859. Calculate the remainder when 573 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/(-39)*(-6)\/(-4). Let x be 1*(m + 0 - -2). Solve x = -0*d - d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose j = 0, -5*j - 10 = -5*m - s*j. Let l be 1\/(1*(-1 - -2)). Solve 0 = -p + m*p + l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3144716 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 15662117.\nAnswer: -7831058.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63263*z = 63259*z - 20*j, -4*j = z - 5 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 25. Suppose 10 = z*d + 5. Is 14 a factor of (-5)\/((-20)\/372) - d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n - 745182 - 9*n + 745181 as u*n + i and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65083, 65023, 64903, 64717, 64459, 64123, 63703?\nAnswer: 63193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1411*w + 47 - 95 + 48 to the form n + z*w and give z.\nAnswer: 1411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3211 and 34151.\nAnswer: 8435297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -14566*s**2 + 44. Let k(u) = 2913*u**2 - 8. Calculate -33*k(b) - 6*x(b).\nAnswer: -8733*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87593d (base 14) in base 13?\nAnswer: c47b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (123*10\/(-270))\/(7\/(-3)) and 61\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254451 (base 13) to base 14\nAnswer: -1941cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 4*h + 227235 = 37*z, -5*h - 25 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 - 17*l**2 - 13*l + 31. Determine u(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264 - -265. What is the nearest to -5\/3 in n, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380353 is divided by 6331?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/4 + 1123*n**3\/4 + 13908*n**2 + 168112*n + 599552 = 0.\nAnswer: -32, -8, 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -85, -162, -259, -382?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 less than -7544\/361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-15))\/(3\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 377 + -370. Solve -k*u = 5*u - 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-19 - -12 - -32) + -9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*h + 2416 = 7419, 5*h = -5*j + 4995. Let w = -530 + j. Find the common denominator of (-12)\/72 - w\/24 and -32\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 303 - 299. Let s(k) be the second derivative of 0*k**3 + 1\/12*k**x + 0*k**2 + 2*k + 0. Factor s(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 + 1)*(a - a + 2*a) + 8*a + 9*a + 9*a)*(-2*a**2 + 3*a**2 - 2*a**2) as g + y*a + p*a**2 + f*a**3 and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -1*((-1104)\/(-144))\/((-8)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -19991*n + 119968. Determine l(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 18. Let s be (-9)\/(-5) - 10\/(-50). Suppose b + 11 = s. Is r(b) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1860419 to the nearest ten thousand.\nAnswer: -1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -1 + 70 + -67 + 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i\/(i\/(i**1*i)))*i*i*i**(-2\/11)*(i*i**1)\/(i**(-6)\/i) assuming i is positive.\nAnswer: i**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 7*o + 2. Let s be b(6). Let d be 33231\/99 + 2\/(-2 - -8). Suppose 0 = 821*h - 828*h + d. What is the highest common factor of s and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrrrddrrrrr. Give prob of picking 4 r.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 1586498034.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((224\/(-16))\/(-28)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*63\/(15\/(-5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813305199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 11) to base 13\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v - 16. Suppose 2*b + 29 - 4 = 5*c, 2*c - 10 = 2*b. Determine s(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 119138 - 16*b - 119138. Let n(w) = 2*w**2 + 3. What is n(t(i))?\nAnswer: 512*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 0.37. Let v = -35\/2 + 17. Let g = -19 - -22. Which is the closest to v? (a) 0 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from ggzkgppgg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14913 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**10*m**29)**(-3))**19 assuming m is positive.\nAnswer: m**(-2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3873679638 to the nearest integer?\nAnswer: 62239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -4, -2 in descending order.\nAnswer: 64, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-41)\/12 + 5 + -1. Let k(y) be the second derivative of 0 + h*y**4 + 0*y**3 - 3*y**2 - 5*y. Differentiate k(p) with respect to p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-37)*y)\/(y\/(y*y\/y**(-3\/7)))*((y**(-9)\/y)\/y)**(-1))**(2\/27) assuming y is positive.\nAnswer: y**(-316\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.6, -157, -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1137, -1104, -1045, -954, -825?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**4\/22 - 14*j**3\/11 - j**2\/11 + 42*j\/11 - 1302. Factor c(u).\nAnswer: 2*(u - 21)*(u - 1)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 311306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2. Let l = -685.229 - -682.3. Let r = -0.929 - l. Which is the second smallest value? (a) 5 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3903*f**4 - 594*f**3 - 11872256*f**2 wrt f.\nAnswer: 93672*f - 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367 - -428. Calculate the remainder when a is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/12, -903, -0.5 in descending order.\nAnswer: 7\/12, -0.5, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-12)\/3384*-4?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -15 in descending order.\nAnswer: -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 + 0*q**2 - 1\/6*q**3 - 2*q. Let o(p) be the first derivative of -p**2\/2 - 1. What is m(o(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 4*f + 4, -48*l + 45*l - 100*f - 100 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brrb when four letters picked without replacement from {r: 17, b: 3}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - a + 180, -3*w - 26 = -2*a + 154. Let c = 116 + w. Calculate the least common multiple of c and 4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/39 and 71\/306.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.138 take away 24.73544?\nAnswer: -16.59744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-204)*(-1)\/(-3)*4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10972204?\nAnswer: 2, 587, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 14. What is the third derivative of -i**4 + i**4 + i**c + 2*i**4 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 429828 = 4*m + 2199414, 1769587 = 5*p - 3*m. Let q = p - 11918. Round q to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*(-21)\/616*-6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35631?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 17. Suppose -i = -4*m + 40, m + 3*m = -3*i + 40. Let v = m - p. Put v, -4, -2 in increasing order.\nAnswer: v, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i + 642. Suppose -2*l = d + 24, -d - 16 = -2*l - 0. List the prime factors of i\/(-8) + (-5)\/d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*m**4 - 20508*m**3 + 45711*m**2 - 7527*m - 654 = 0. Calculate m.\nAnswer: -109, -1\/16, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46325 (base 9) to base 16.\nAnswer: -78a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4835882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1108 + 1075.5. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 1384*v**3 - 158688*v**2 - 5920640*v + 12487168.\nAnswer: -4*(v - 2)*(v + 116)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -7 - 1)\/2. Suppose 526*w - 585*w = -2596. Calculate the smallest common multiple of (-2)\/u + 26\/3 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129971902 - -9330.24.\nAnswer: -129962571.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576668 is divided by 328?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 47.\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 80?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -40\/207?\nAnswer: -40\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33950*m**2*p*x**3 - 113*m**2 + 20*m*p**2*x - 2*m*p*x**2 - m*p*x + 10*p**2*x**3 - 3*p*x - 2*p wrt x?\nAnswer: -203700*m**2*p + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100000110 (base 2) to base 11\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 45*a - 42*a**3 - 17*a**3.\nAnswer: -51*a**3 - 45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 2*u + 2*u)*(4*u - 2*u - 4*u) + (-5 + 4 - 1)*(1 - 1 - 3*u**2) + 3*u + 2*u**2 - 3*u.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 55*b**4\/24 + 80*b**3\/9 - 5*b**2\/3 - 5*b - 10. Factor f(w).\nAnswer: 5*(w + 2)*(33*w - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4*i**2 + 9*i - 11. Calculate t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 1, -3\/55, 2\/63, -2\/5?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 183, 196, 199, 186, 151, 88?\n\"Answer: -q**3 + q**2 + 17*q + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -16. Let g = h + 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35600225 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6373056 and 1\/1593264?\nAnswer: 6373056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849, -1304, -1759, -2214, -2669, -3124?\nAnswer: -3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384646096 to the power of 1\/2, to the nearest integer?\nAnswer: 37211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 437 * 0.1.\nAnswer: 43.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94170 - -155599. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(684) + 0 - (sqrt(684) + -2 + -2))*-2)**2*-6.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h + 0*h - 256 = -15*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*6*4\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:49 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -517 - -482. Is (-5)\/(-35) + (1 - 122845\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321521459 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -863463 + 386831673\/448. Let i = -881 + 56383\/64. Let n = i - m. What is the closest to -0.1 in -0.5, -2\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 96. What is the units digit of (0 - (r + -3))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 2*n**2 + 12*n - 3. Let w be g(-4). Suppose w*z - 51*z + 1236 = 0. List the prime factors of z.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 18*i - 43*i - 11*i**2 + 3 + 3 - i**3 + 16*i. What is h(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10786425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -167894a (base 12) to base 9\nAnswer: -8650834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.1. Suppose -11*l - 866 = -921. What is the nearest to g in 0.3, l, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 1424 - 249*k**3 - 1424.\nAnswer: -249*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36048*i - 1 - 36046*i + 1.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0*j**2 + 0 + 1\/6*j**3 - 11*j. Let z(y) = 20*y. Let i(p) = -119*p. Let b(s) = 6*i(s) + 35*z(s). Calculate b(k(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 2. Suppose 0 = 4*o + 8, -o = h - 4 + 2. Suppose -5*d + h*w + 120 = 0, 4*d - w - 53 - 32 = 0. Let u be 0*(6 + -1)\/d. Give z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -4.01. Let q = h + -3.9. Which is the nearest to q? (a) -2\/3 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11398225 divided by -115\nAnswer: -99115","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*k + 1514 = -46*w, 5*w + 63*k + 149 = 67*k for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 3:22 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 35 - (-2 + 1). Suppose 232 = -3*l + 241. Let q be 16\/l + 6 + 152\/(-24). What is the highest common divisor of q and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52172 + -52118. Suppose -55 = -7*v + 2*v. Calculate the remainder when h is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/((-34)\/3264*-32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 21039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 8925858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1588*u = 1596*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*m - 64 + 14. What is the second smallest value in m, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*g - j + 94, 52 = 2*g - 4*j. Let m(o) = 17*o - 5. Calculate the remainder when m(4) is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(((-1)\/4)\/((-3)\/12)). Let b be (-4)\/u + 26\/10 + 40. Let p = 106 + b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1033 and 1505649403?\nAnswer: 1505649402.8967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*a - 40, -5*a + 22 = -3. Suppose d - 3 + 0 = -2*u, -3*u = -m*d + 12. Solve u = g - 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - r = 3, 5*u + 88*r - 91*r - 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 12*f + 5. Let w be 69\/(-115) + 27\/(-5). Let o be h(w). Suppose 2*s + 140 = 2*t + 6*s, 3*s + 376 = o*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.6. Let k = 3.3 - 1.3. What is the smallest value in 5, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -6. Let k = j - -12. Solve 2*u - k = v - 4, -4*v = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 6*n + 3*n - 2*n - n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-66))\/((-63)\/(-54))*-7. Which is the nearest to -15? (a) 4 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*o**5 - 184344*o**4 - 29096*o**3 + 6720*o**2 = 0.\nAnswer: -280, -2\/7, 0, 6\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 8*s - 2. Let v(t) = -t. Give l(a) - 4*v(a).\nAnswer: -a**2 - 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232342 divided by 2.\nAnswer: 116171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**5\/25 - 3*t**4\/20 - t**3\/15 + 3*t**2\/10 + 2*t\/5 + 12. Suppose z(g) = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p**4 + 0*p + 11\/30*p**5 - 55*p**2 + 0 + 0*p**3. Let u(x) = -9*x. What is g(u(y))?\nAnswer: 1782*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 1. Suppose -p - 242 = -12*p. Let t = -19 + p. Give q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 10*j**2 + 10*j + 11. Let o = -30 + 21. What is the units digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 6*o**2 - o + 5. Let r be c(5). Let w = r - -40. What is the remainder when 266\/6 + (-1)\/3 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/5, -18\/913, -3, 6?\nAnswer: -18\/913","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:30 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57108 + 41687?\nAnswer: 108806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 3. Let g(r) = r + 2. Determine -2*g(a) + l(a).\nAnswer: -a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 910459 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6 - (1 - -2)) + 13 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 263016314 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1895 - 3615. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 2*q**4 + 2*q**3 + (2*q**3 - 5*q**3 + 4*q**3)*(-3 + 5*q + 3) - 111*q**4 + 97*q**4 + 50*q**4 as v*q + m*q**3 + y*q**4 + n + z*q**2 and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s. Let o(y) be the third derivative of -17*y**4\/12 + 156*y**2. Give r(o(z)).\nAnswer: -136*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 295, 357, 475, 667, 951, 1345, 1867?\nAnswer: 2535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/9 - 38*n**3\/9 + 154*n**2\/9 - 202*n\/9 + 28\/3 = 0. What is n?\nAnswer: 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j - 3. Let n = 10 + -8. Let z(t) = 2*t + n + 0 + 0 - 3. Let y(a) = -a**2 - 6*a + 2. Let s be y(-6). Determine s*q(w) - 5*z(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10)**(1\/49) assuming x is positive.\nAnswer: x**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1995 - -0.1195. Suppose z + 11 = -4*g + 3, -5*g - 10 = -3*z. Put g, -2\/15, p in descending order.\nAnswer: p, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8250 is divided by 214.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -3.97.\nAnswer: -1.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -20*i**3 + 2*i**2 - 1. Suppose -3*r = -2*r + 1. Does 21 divide l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 6. Suppose q = -0*q + 4. Suppose -q - 1 = -v. Calculate the remainder when i(7) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 4564 + 3388 = 0 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 37, 4\/3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2528 + 2537. Solve 2*x - c*l = -7*l, -4*x = 4*l + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-1)\/(16\/(-604)). Let y = -31 - -65. Let h = x - y. Which is the closest to -0.4? (a) h (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14207 and -14226 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2 + 137*y + 282. Determine t(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197455205 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 153933 times -2600\nAnswer: -400225800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-9))\/((-2)\/(-6)). Let j(q) = q**3 + 4*q**2 - q + 4. What is the units digit of j(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 64.41845ms?\nAnswer: 0.06441845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 43 = -344. Suppose 268 = -4*q + 2*q. Let s = m - q. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 0.035, 1\/2, -14, -4, 1 in descending order.\nAnswer: 1, 1\/2, 0.035, -4, -14, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2423003 (base 6) to base 11.\nAnswer: -87a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 0*u**2 - 3*u**2 + 0*u**2 + 3. Let p(m) be the third derivative of m**5\/60 - m**3\/6 + 11*m**2. Give 4*p(t) + 2*v(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6608040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1971*y + 8. Let d = 50 + -51. Is j(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 21 + 1283*f**2 + 29.\nAnswer: 1283*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -j + 4*v - 2, 0 = 5*j + v + 222. Which is the biggest value? (a) 3 (b) -2\/21 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) -1 (c) -1\/2019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/98 and -73\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l**3 + 42*l**2 + 35*l - 18. Let o(f) = 3*f**3 - 8*f**2 - 7*f + 4. Let s(r) = -2*m(r) - 11*o(r). Calculate s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -531*c - 534. What is r(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2664178 and 1089?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -13*l**5\/60 + 59*l**2. Let d(k) = 0*k**2 + 2*k**2 + 0*k**2. Determine r(d(v)).\nAnswer: -52*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.4, 3\/8, -10 in increasing order.\nAnswer: -10, -1\/8, 3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 14*m**3 - 2*m**2 - 6*m - 23. Let s(a) = -40*a**3 + 7*a**2 + 15*a + 61. What is 8*d(f) + 3*s(f)?\nAnswer: -8*f**3 + 5*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1225)\/3)\/(-5)*((-42)\/(-49))\/((-360)\/(-252))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31997, -40, 13, -3 in descending order.\nAnswer: 31997, 13, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15084 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlm when three letters picked without replacement from {q: 1, l: 1, m: 2, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387 and 783.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9550 = y, -21*c + 26*c + 47850 = 5*y. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5192 - 17*i**3 - 11*i**3 - 35*i - 5157. Let s(t) = -t**3 - t + 1. Give -j(m) + 35*s(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 146, 529, 912, 1295, 1678, 2061?\n\"Answer: 383*b - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s + 31 = -3*h + 32*s, -4*h - 5*s - 33 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -882 by 22833.\nAnswer: -98\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.7 (b) 5 (c) -2 (d) 30\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 91686737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/20120 and 4\/145.\nAnswer: 583480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 47*g + 56. Let h(l) = -20*l - 29. Let t(q) = -11*h(q) - 6*s(q). Let k = -26 + 18. Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 51.3 (b) 0.26 (c) -2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzptyytky. What is prob of sequence ytp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -437 + 267. Let k = -152 - s. Solve -2 = -4*g + k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqzsgqsq. Give prob of sequence qqsz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13915 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23362336.2 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7*(-18)\/63.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 2, o: 4, c: 3}. Give prob of picking 1 c and 2 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*((i*i\/(i**(3\/4)\/i)*i)\/i)\/i*i*i\/(i**(9\/2)\/i))\/(i\/(i\/(i\/((i**(7\/5)*i)\/i)))*i**(-2\/23)))**(-29))**38 assuming i is positive.\nAnswer: i**(-313519\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.5 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/99 and -17\/90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 69*f + 65. Determine s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.496 + 0.0748783?\nAnswer: 21.5708783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2 - w. Suppose 4*m + 2*y + 8 + 0 = 0, 0 = 4*m - 4*y - 4. Let q be l(m). Solve 2*o - q - 9 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*n**2 - 33*n**2 - 31*n**2 - 33*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55155, -109310, -163465, -217620, -271775, -325930?\nAnswer: -380085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -88005 and -0.5.\nAnswer: 44002.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2116046, 2116058, 2116084, 2116130, 2116202, 2116306?\n\"Answer: d**3 + d**2 + 2*d + 2116042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9617*w = o + 9616*w + 6, 4*o = -3*w + 53 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7.3. Let l = -168 - -174.7. Let t = -7 + l. Sort t, u, 2\/3 in descending order.\nAnswer: 2\/3, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 458273\/2402240 - 48\/7507. Let r = z + 1\/64. Factor -1\/5*c**3 + r*c**5 + 0 + 0*c + 1\/5*c**4 - 1\/5*c**2.\nAnswer: c**2*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -242.77 - -224.9. Let p = 18.7 + b. Let t = p - 0.45. Round t to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**8)\/(s\/s**(-26)))\/(s*s**1)**15)**39 assuming s is positive.\nAnswer: s**(-1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -278*r**2 + 20*r - 7. Let w(s) = 139*s**2 - 9*s + 4. Let v(y) = -3*a(y) - 5*w(y). Find the second derivative of v(x) wrt x.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890838 to the power of 1\/2, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/6)\/5)\/(6*(-125)\/(-180))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrx when four letters picked without replacement from mxmmwwrxxmxwmxxxxx?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:09 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -39. Which is the closest to 0? (a) -6\/7 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 396*f + 1880.\nAnswer: 4*(f + 5)*(f + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-35)*4\/((-4)\/7). Suppose -v + 4069 = -4*x, 3*v = -y*v + 3*x + 20277. Suppose -16*i + v - 533 = 0. Is i a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4 = 5*v, -5*b + 2*v + 5 = -0*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2384)\/(-5364) - (-4)\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 3. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130075240*h**3*p**3 - h**3*p**2 - 234*h**3*p - 3*h**2*p**2 + h*p**2 - 13830*h*p wrt p.\nAnswer: -780451440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141643050.\nAnswer: 2, 3, 5, 79, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 18\/(-27) + 1\/(-3). Suppose 0 = -4*k - l*k + 60. Let f(o) = 9 + 2*o + k - 22. What is f(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11d (base 15) in base 7?\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 382, 1814, 4264, 7732, 12218, 17722?\n\"Answer: 509*j**2 - 95*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4, -3 in ascending order.\nAnswer: -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -40, -108, -234, -436?\n\"Answer: -3*a**3 - 2*a**2 - a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.35 + -0.25. Let f be 5\/(-10)*(-156)\/18. Which is the second smallest value? (a) f (b) v (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {j: 1, t: 3, q: 2, g: 1, v: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 - 52 = -4*t, 6*w - 54 = 0. What is the fourth smallest value in 2\/35, 0, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, r: 1, w: 4}. Give prob of picking 1 w, 1 r, and 2 l.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 65013271 + -4.1278\nAnswer: 65013266.8722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {f: 11, z: 3, g: 2, c: 1, d: 1}.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w*w*w**(-2\/37)*w)))*w**(-18)*w*w)\/(w**(-21)\/(w\/(w**(-2\/7)*w))) assuming w is positive.\nAnswer: w**(865\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8003 and 206417.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 9720*m + 41115843.\nAnswer: -3*(m - 5661)*(m + 2421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - m + 2. Let f(z) = z**2 - 1. Give 4*f(n) + v(n).\nAnswer: 8*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 217. Let u = 114 - b. Calculate the greatest common divisor of u and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 29 - 38 - 22 + 9*b. Is 35 a factor of w(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-581)\/(-198) + 0 + (-11808)\/(-106272))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553869, -554019, -554169, -554319, -554469?\nAnswer: -554619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51348523?\nAnswer: 41, 1252403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 250*a + 2416. Determine j(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*y**3 + 2*y**2 - 69*y - 5 wrt y?\nAnswer: 240*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 21*n - 11. Let m = -18 + 38. Let j be t(m). What is the highest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k**2 + 0*k + 1 + 3\/8*k**3 + 3\/32*k**4. Find n such that j(n) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-56))\/((-52)\/(-8372))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.217*-0.5\nAnswer: 0.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 3*s - 1. Let u be f(-4). Suppose -61 = -d + u*v, 5*d + 2*v - 24 - 281 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = -0*z + 80 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*z + a, 5*z - 2*a = -3 + 19. Let n(r) be the first derivative of r**3\/3 - r**2\/2 - 3*r - 1. What is the units digit of n(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-5) + 2)\/(11\/55). Let p be (h\/5)\/(14\/980). Suppose 32*n = p*n + 4. What is the third smallest value in 0, n, 1\/11, -4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -84*u**2. Let q(j) be the first derivative of -j**3\/3 - 186. Calculate q(z(f)).\nAnswer: -7056*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -106, -170, -248, -346, -470?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4754750508 take away -0.4?\nAnswer: -4754750507.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + -1 + -10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3750074649?\nAnswer: 3, 727, 573143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 28 = -16*n + 6. Factor 2\/3*h - 1\/3*h**n - 1\/3*h**2 + 0.\nAnswer: -h*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from giiggg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (28\/84)\/((-2)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500294 bigger than 2500295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3051491 and 6.\nAnswer: 18308946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -193*p**3 - p**2 - 4*p - 3. What is the units digit of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3808 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2861*d - 60220. What is o(-21)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2414821 to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - j**4 + 6*j**4 + (-4 + 4 - 8*j)*(-11 + 15*j**3 + 11).\nAnswer: -117*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093563 is divided by 139569.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*p**4 - 2735*p**4 - 5 + p**2 + 7 - 374*p - 753*p wrt p?\nAnswer: -63240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4568018486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 - (4 - 20 - -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8524 - -35a?\nAnswer: -8175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-20))\/((-1)\/4). Let v = -2 + 2.15. Let g = v - 0.25. Which is the closest to g? (a) q (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-2 + 16\/7). Let r = 9 + -3. Let h(n) = -r*n + 4*n + 0 + l. What is h(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.41 + -1.75. Let d = 3.314 + 0.346. Let f = k - d. What is the third smallest value in f, -3\/7, -0.5, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/12 - g**2\/2 + 96*g + 5. Let x(o) = 2*o**3 - 2. Give 2*l(w) - x(w).\nAnswer: -2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 57*c + 0*c - 35*c)*(2 - 3 - 1).\nAnswer: 6*c**2 - 44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:58 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*j + 207, -5*j - 13 + 3 = 0. What is the remainder when p is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19557 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17610 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*f**3*p**3*s**2 - 343*f**3*p*s**2 + 3*f**2*p**3 + 3*f**2*p*s**2 - 382*f*p**3*s**2 - 2*f*p**3 wrt f?\nAnswer: 174*p**3*s**2 - 2058*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19679376, -39358750, -59038124, -78717498, -98396872?\nAnswer: -118076246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 11. Let h(z) = z - 1. Let t(o) = 10*h(o) - 2*r(o). Let g be t(-2). What is the tens digit of 8\/g - 928\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -10*k - 2*k. Solve k = 3*u - 2 + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + 0 + -2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w. Suppose 1120 = 15*k + 25*k. Let r = k - w. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5239da - -c5?\nAnswer: 523a9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**4 + 3*r**3 - r**2. Let o(t) = -5313*t**4 - 3*t**3 + 2*t**2 + 8696. Let x(b) = i(b) + o(b). What is the derivative of x(s) wrt s?\nAnswer: -21260*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 6 = -468. Calculate the highest common divisor of 154 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62500 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 152\/763?\nAnswer: 152\/763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 6 + 42. Let b = 16 - l. What is the units digit of (3 - (5 + -3))*b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10d929 + -c6?\nAnswer: -10da11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/4 - 2*z**3\/3 + 112*z**2. Let p(b) = -2*b**2. What is p(a(o))?\nAnswer: -72*o**2 + 96*o - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18620 by -5.\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*b = -296*b + 900780. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 200, 3, 1, -3, 9 in decreasing order.\nAnswer: 200, 9, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 723 (base 11) to base 16\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35317 and -0.2.\nAnswer: 35316.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*u + 5 + (21*u + 22*u - 21*u)*(2 - 1 - 2))*(11*u - 24*u - 10*u) + (u + 2*u - 2*u)*(4*u - u - u).\nAnswer: 462*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.9 and 57038?\nAnswer: 57039.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 1:06 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gycygggyiggg. What is prob of picking 1 y and 1 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = 0. Suppose j = z + 2*o - 351, 2*z + 4*o + 1073 = 5*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r**2 + 2*r)*(4*r**2 - 4*r**2 + 13*r**2) + 13*r**4 - 89*r**3 - 2*r**4 - 9*r**4.\nAnswer: -11*r**4 - 89*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10a7 + -1?\nAnswer: 10a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1670, -3, 1\/5, -2450, -5 in decreasing order.\nAnswer: 1670, 1\/5, -3, -5, -2450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - 455*h**2 + 8564*h + 35. Determine u(41).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -29.5, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(88) - (-1*sqrt(88) - sqrt(88))) - sqrt(88))\/sqrt(8))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3)*(-15)\/(-10). Suppose -d*b = b - 105. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/84 and -35\/4824?\nAnswer: 33768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 38*j + 224. Let o be w(34). Solve 0 = 20*n + 2*n - o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7613.2 + 1630.4. Let n = 5106 + a. Let b = 959 + n. What is b rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.38 + 154.62. Let z = 161.92 - d. What is the closest to z in -1\/5, 4\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 6*v + 7. Let a be r(7). Suppose 18 = 3*f - 2*k, a = -5*f + k + 3*k + 30. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76)*1 - sqrt(76)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4da (base 14) to base 2.\nAnswer: 1111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - -2 - (664 - 591).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let n(k) = -10*k. Let l(w) = 7*c(w) + 2*n(w). Suppose g + 2 - 5 = 0. Let p be l(g). Solve p*z + 4 = -2*u, -z = u - 3*u + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1261328 and 89.\nAnswer: 112258192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-4 + sqrt(396) + sqrt(396)*-2)*-4)**2 - ((sqrt(11) + 1 + sqrt(1584) + sqrt(11) + (sqrt(99) - (0 + sqrt(99))) + sqrt(99))*-2)**2).\nAnswer: -6129 + 632*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3, -2*k = -3*c + 5*c - 110. Let u = k + -57. Let f(l) = 125*l**2 - l - 7. Is f(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + -0.35. Let y = 280 - 2516\/9. Let q = -88 + 89. Which is the biggest value? (a) y (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.025075.\nAnswer: 0.125375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 2 + 216 = -74. Solve 18 = -b*h - 78 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = k + 18, -4*k - 2*o = -o + 72. Let i be k\/(-6) - 0\/(-2). Factor u**i + 1 + 0*u**3 - 7*u + 6*u - u**2.\nAnswer: (u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five eighths of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14128285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -2*r. Suppose 3*w + 2*d - 3 = -4, 0 = -2*w - 3*d - 9. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 24 = 6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/4, -157\/2 in descending order.\nAnswer: -3\/4, -3, -157\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/53)*d*d*d**(-14))\/(d**18\/(d*d*d**(-20\/9))) assuming d is positive.\nAnswer: d**(-14434\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1950 and 12069330.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 118\/5 - 48\/(-120). What is the greatest common factor of z and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**2 - 11*x - 13. Let j(t) = -4*t**2 - 6*t - 7. Let p = 16 + 6. Suppose -3*q + 5*k + p = -q, -q + 4*k = -14. Give q*y(b) - 11*j(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 2*y**2 - y + 2. Let r(g) = g**3 + 2*g**2 - g + 3. Suppose -2*t = -4*t. Suppose t*d + 3*d = -18. Let v = d + 8. Calculate v*r(k) - 3*j(k).\nAnswer: -k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = -22*y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71.8 - -71.8. Let i = 82\/7 + -307\/28. What is the closest to i in -1\/2, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24462 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 - 14*a**2 - 90*a + 90*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7183 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13910778 divided by -3654\nAnswer: -3807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r, -r + 40 = 3*u - 0*u. Solve 3*h = 6, h - u = 3*w - h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u**2 - 4*u + 2. Let c be x(1). Let z be ((-6)\/(-3))\/(2 - 1). Suppose -z*o = -4*o + 56. What is the greatest common factor of o and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6 - (-2)\/6. Let u be (5\/v)\/(3\/6). Suppose 3*n + 2*l = 25492, 34020 = u*n - n - 5*l. Round n to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194202 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 38, 58, 76, 92, 106, 118?\n\"Answer: -c**2 + 25*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**2 + 23*m - 89. What is the remainder when o(3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -80, -211, -394, -629, -916, -1255?\nAnswer: -1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16773 (base 8) to base 5\nAnswer: 221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v + 14. Let u(x) = -25*x + 18. Let q(g) = -7*g + 5. Let z(y) = -7*q(y) + 2*u(y). Calculate p(f) - 12*z(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40747 greater than 40840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 - 3812*p**3 - 913884*p**2 - 2692300*p + 3610000 = 0.\nAnswer: -475, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiittnmtminata. What is prob of sequence mn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.172.\nAnswer: 0.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1418342, -1418352, -1418380, -1418432, -1418514, -1418632?\n\"Answer: -s**3 - 3*s**2 + 6*s - 1418344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4928310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = j - 208, -3*u - u + 160 = 4*j. Let k = u - 39. Let w(x) = -1 - 16*x**3 + x + 6*x**3 - 3*x**2 + 11*x**3 + 0*x. Determine w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198960460, 3, -1.\nAnswer: -198960460, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 704 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28460816.\nAnswer: 2, 1778801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27535 - 82607\/3. Let f = -90 + 259\/3. Let p = f - -4. Which is the nearest to p? (a) -0.5 (b) h (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1424?\nAnswer: -1\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 32*z - 26. Let s be (-6)\/(-9) + (-16)\/(-3). Let j(l) = -11*l + 9. Let x(i) = s*h(i) + 17*j(i). What are the prime factors of x(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 3. Let i(v) = 2*v + 2. Let h(s) = -3*i(s) - 2*z(s). Let k be h(-1). Which is the third smallest value? (a) 2\/5 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.01 - -86.01. Let r = -88384.52864 - -88300.52864079. Let f = i + r. Round f to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6694 < -6693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1564 = 11*x - 266. Let c = x + 117. Let a(g) = 0 - 2 + 1 - 14*g**3. Determine a(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -43, -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**3 - 6*l**2 + 5*l - 1. Suppose 4*h - 159 = 3*n, -3*h - 2*h - 4*n + 222 = 0. Let o = h - 38. Is m(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -422*v + 421*v + 3*z - 1, -5*v = -4*z - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) - ((sqrt(396) - (sqrt(396)*-2 - sqrt(396))) + 5) - (-1 + sqrt(396) + 1 + sqrt(396) + sqrt(396)) - 4*(sqrt(396)*-2*2 + sqrt(396))**2.\nAnswer: -14261 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 7*u + 144. Let h be 11\/((-1)\/u*3). Suppose 0 = 4*x + 4*q - h, -3*q + q - 56 = -3*x. Solve 0 = 3*a + a - x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867906?\nAnswer: 2, 933953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let w(s) = 80*s - 1. Let f(t) = -3*d(t) - w(t). Let o be f(-3). Suppose 0*a = v - 3*a - 94, -a = 3*v - o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2037053427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 3 + 3 + r**2. Let j(o) = -o**2 + 4*o. Let l = 16 - 11. Determine l*j(z) + 4*a(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5648.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 170783.\nAnswer: -4\/170783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 19*b**3 + 3*b - b + 15*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*x - 16*x + 3*x - 792 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l + 3*l - l + 3*l. Let r(o) = -27*o. What is b(r(h))?\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63612)\/26505)\/(1\/(20\/(-2))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fioviijafava. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let d = 4 - f. What is the derivative of -5*b**4 + 6 + b**4 - d*b**4 + 0 wrt b?\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.06, -2, -1\/4, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233325 (base 7) in base 3?\nAnswer: 2010122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -156226675?\nAnswer: 156226673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - -5 - 6)*(-2)\/25. Which is the nearest to h? (a) 0 (b) -19 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*u**3 - 160*u**2 - 95*u + 100.\nAnswer: 5*(u - 5)*(u + 1)*(7*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284*d**3 - 2516*d**3 - 3900*d**3 + 1612*d**3.\nAnswer: -6088*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297135824 is divided by 859.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95357 + 95274 = 4*c + 3*q, -q - 25 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17))**(-4\/3) assuming w is positive.\nAnswer: w**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6488 + 6496. Solve 0 = 24*b - n*b - 64 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -399 - -415.9. Let n = 16.71 - r. Suppose 0 = -0*h + h. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 19*j = -9. Let l be ((-12)\/10)\/(2\/(-5)). Suppose 21 = 3*m - 0*x + j*x, 25 = l*m + 4*x. Put 4, 0, m in increasing order.\nAnswer: 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 4138056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztttztttz. What is prob of sequence zttt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1266 and 59.646.\nAnswer: 59.7726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h. Let o(m) = 12 + 28 - 40 - 11*m**2. Give k(o(z)).\nAnswer: 154*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/100 + m**4 + 39*m**3\/10 + 2*m**2 - 2. Factor s(v).\nAnswer: 3*(v + 1)*(v + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {s: 5, m: 10, n: 4}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4945488873.\nAnswer: 3, 13, 269, 471403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56639 + 14859*o - 56639 + 5242*o)*(7 - 4 + 1).\nAnswer: 80404*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 17*c - 17*c + 5*c**2 - 2*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -16*v**2. Let d(u) = 8*u**2. Give 13*d(c) + 6*f(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 18 = -o, p + 2 = -o - 0*p. Suppose 2*w = 3*r - 5, 4*r - 2*w - o*w - 2 = 0. Suppose -16 = -r*v + 20. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 277.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hplplhhpyywyphlwwp. What is prob of sequence lyyl?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.575 + -0.575. Which is the nearest to 2? (a) u (b) -2 (c) 2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -14. Solve 2*u**2 + u**2 - 94 + 78 - 4*u**2 - w*u = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 3009 + 27048 + 11746 + 4*v.\nAnswer: 2*v + 41803","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g + 31 - 65 - 301 = 0. Let y = -72 + 108. Solve -y = -g*j - 41 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7657985\/6 equal to 1276331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 19*z**5\/12 + 32*z**2 - 2*z. Let d(k) = -4*k. What is h(d(m))?\nAnswer: 1520*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -12?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1086860, 1086857, 1086854, 1086851, 1086848?\n\"Answer: -3*x + 1086863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 13*u**2 + 11*u**2 - 4*u + 3*u + (19*u - 9*u**2 - 19*u)*(-2 + 3 + 0).\nAnswer: -11*u**2 - u + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2615\/1336 + 28\/167. What is the common denominator of 151\/36 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7385204579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2471*c - 21. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1269 (b) -8\/7 (c) -7414\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 2331\nAnswer: 8\/2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/((-4560)\/(-3990))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/105)\/(((-4)\/4)\/9)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -25. Let g(n) = -n**3 + 7*n**2 + 17*n + 4. Let t = -11 - -6. Let i(q) = 4*q**2 + 8*q + 2. Let x(f) = r*g(f) + t*i(f). Let x(m) = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 1705 = 71. Calculate the lowest common multiple of t and 296.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14020 = -40*q + 35*q. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 1\/4*x**4 + 0 + 3\/2*x**3 - 3\/2*x**2 - 9\/20*x**5 - 6*x. Determine g so that p(g) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -19*f - 60. Factor 11*u + 294*u**f + 295*u**2 - 590*u**2.\nAnswer: -u*(u - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19\/57)\/(1\/12). Suppose -12 + 0 = i*j. Let d(f) = -f**2 - f + 4. Let z be d(j). Sort 2, -3\/7, z in increasing order.\nAnswer: z, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -27. What is the nearest to 0.1 in o, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 95024, 190697, 286368, 382037, 477704?\n\"Answer: -g**2 + 95676*g - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:34 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**2 + 12*u + 55. Let h be 8 - (-6)\/(36\/(-66)). What is the tens digit of n(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34089 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23 and 0.02.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14022 (base 7) to base 10.\nAnswer: -3789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -20 - 4. Let q be (8\/14)\/((-2)\/(-7))*(-21)\/(-14). Suppose -5*s + 2*u = -9665, -q*u - 1916 = -s - h*u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/1536570 and 163\/9834048.\nAnswer: 49170240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1647*l**6 + 4*l**4 - 3*l**3 - 97*l**2 + 11*l - 5?\nAnswer: -197640*l**3 + 96*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/42 in 43, 11, 167?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 58578*p - 58575*p = -10, 24*d + 508 = -5*p for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -301*w + 291*w. Let z(q) = 3*q**2 + 25*q + 71. List the prime factors of z(w).\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + -993d?\nAnswer: -98dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 - 34*k**3 + 254*k**2 + 706*k - 924 = 0.\nAnswer: -22, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0, -40, 19, 3 in descending order.\nAnswer: 19, 4, 3, 0, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14677839 rounded to three dps?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5929 and 135044.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*z - 7335*c**3 + 1257*c**2*z wrt z.\nAnswer: -c**3 + 1257*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*x - 3662143601 + 12027461060 = -5667764541. Round x to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -30951478364829?\nAnswer: -30951478364829.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 321961c - -1?\nAnswer: 321961d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 0*c**2 - 2*c**2)*(-36*c**2 + 49137 - 98268 + 49138).\nAnswer: 36*c**4 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + o)*(-2*o - 2*o + 3*o)*(-8 + 1 + 1) + o**2 + 2*o**2 - 2*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (7 - 820\/50)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209990*k - 209990*k - 69*k**2 + 10*k**2.\nAnswer: -59*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**3\/3 - 18*h**2 + 34*h + 431. Find o, given that r(o) = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {p: 1, c: 8, b: 5, a: 1, d: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 2\/7 (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:02 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.9 (b) 0 (c) 0.1 (d) 1\/2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrb when three letters picked without replacement from {r: 2, t: 3, l: 2, k: 8, b: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 25. Let m(y) = -y + 1. Let r(f) = -4*m(f) + n(f). Suppose 16 = 4*d - 0*d. Calculate the remainder when r(12) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 1\/7*b**7 + 4\/3*b**3 + 0*b**4 + 0*b**2 + 20 - 1\/5*b**5 + 0*b**6 + 5*b. Find the third derivative of l(x) wrt x.\nAnswer: 120*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 7}. What is prob of sequence kx?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 411000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let x(l) = 3*l**2 - 2*l - 2. Let o(q) = -q**2 + q + 1. Let g(w) = w**2 - 8*w - 5. Let b be g(9). Let a(d) = b*o(d) + 2*x(d). Determine a(h(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2895, 5788, 8681, 11574?\nAnswer: 14467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 1, 37 in decreasing order.\nAnswer: 37, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 421?\nAnswer: -420.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-507)\/182*7\/2. Which is smaller: -11 or o?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 9*y = 10. Let n(j) be the first derivative of 0*j**y - 1 - 1\/3*j**3 + 3*j. What is the derivative of n(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-4)*1\/(-32). Let h = q - -13\/96. Suppose 41*g = -22*g - 30*g - 372. Which is the third biggest value? (a) -3 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.8 - 20. What is the third biggest value in 2, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -5947.\nAnswer: -29735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 7*p**2 + 6*p + 12. Give v(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749987 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659354.\nAnswer: 2, 329677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17*(1 + 4\/(-2)). Let t = -8 - j. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 88*k + 46*k - 215*k + 51*k.\nAnswer: -30*k - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055956 to six decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1972128 by -3.\nAnswer: 657376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5*-1*(sqrt(1377) - ((sqrt(1377) - (4 + sqrt(1377))) + 2)) + 1)**2 + -5)*-3.\nAnswer: 12150*sqrt(17) + 517515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -86. Let k = t - -23. Suppose -6 = c - 4*f, -3*f + k = 4*c - 36. Solve 0*o - 4*o = m - 21, -o + c = 5*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*u**3 - 1 + 268*u**3 + 339*u**3 + (4 + 0 - 2)*(2*u**3 - 3*u**3 + 2*u**3) to c*u**2 + r*u + b*u**3 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 5\/2, -0.04, 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (50\/110)\/(400\/480)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = 4*y, 1 - 4 = -y - 3*s. Calculate the common denominator of (-798)\/(-315) + (-1)\/(1\/y) and -17\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*(h**(4\/7)*h)\/h)*h*h**(-5)*h*(h*h*h**(-27)*h)**(-1\/3) assuming h is positive.\nAnswer: h**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, f: 1, n: 1, j: 1, x: 2}. What is prob of sequence fj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6082.99994614 - -6083. What is n rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paap when four letters picked without replacement from pvppppappasv?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p + 28 - 28 + 23*p to g*p + q and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57874 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167925845*d**3*g - 2*d**2*g + 8263*d**2 - 20*d*g - d - g wrt d?\nAnswer: 1007555070*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2860 and 45760?\nAnswer: 45760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*v = 5*v + 20, -75 = 3*j - 2*v. What is the units digit of 0 + (0 + j)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 72*y = 1120 + 626. Solve 13*v = 19*v - y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from gggzzgzggg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 2. Let o = -14 - -20. Let q(i) = -o*i + 0*i + 5*i. Let u(g) = g**3 - 3*g**2 - 3*g - 3. Let v be u(4). Determine v*n(x) + 2*q(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 0, a - 1 = 2*g - 2 + 18. Calculate the remainder when 695 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18216 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*-3*(-2*2*sqrt(180) - sqrt(180)) - (1*sqrt(180) + 0 + 3 + sqrt(180) + 0)**2).\nAnswer: -2187 + 594*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/24 - 214*f**2. Determine z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, p: 2, s: 10}. Give prob of picking 1 p and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2002606 + -1?\nAnswer: -2002610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-21)*308*(-19)\/114. Suppose -3*q = -6*q + 2*d + 204, -5*q - 3*d + 321 = 0. What is the highest common factor of q and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 4*v**4 + 5*v**4 + (-2 + 2 - 2)*(-110*v**2 + 110*v**2 - 13*v**4) in the form d*v**3 + k*v**4 + y + a*v**2 + t*v and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1876554 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -491 and 2.\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.092? (a) 2\/1689 (b) 7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 2337403028*g + 2337403028*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.310183nm in kilometers?\nAnswer: 0.000000000000310183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(2*w**2 + 4*w**2 - 4*w**2) - 2*w + 2*w + 4*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 968 and 2049256.\nAnswer: 2049256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1870 - 4450. Let l = 839 - p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/17 or 0?\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*a + 36*a - 702*a to d*a + h and give d.\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, f: 1, n: 6, h: 9}. Give prob of picking 1 n, 1 u, and 1 h.\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/6 and 89\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*j**3 + 1 - 2 + 2*j - 290*j**3 - j + 2*j**2 - 150*j**3 in the form w*j**3 + k*j + p + h*j**2 and give w.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(18\/5)\/i)\/i*i**(-15))\/(i**(3\/11)\/i)**31 assuming i is positive.\nAnswer: i**(503\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - u + 0)*(-250 + 256 - 609) - 2 - u + 2 + (5*u - 3*u - u)*(2 - 2 + 3) - u + u + u - 3*u + 3*u + u to k*u + d and give k.\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:58 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*d - 0*d - 62 - 65, -4*d = -5*l - 81 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.3 and 0.02?\nAnswer: 9.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k - 26*k + 18*k)*(-3 + 5 + 0) + k - 2 + 2 + (2 - 2 + k)*(-1 - 2 + 1) to a + u*k and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18406940 by 337.\nAnswer: 54620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 92 in 2\/9, -2\/9, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11395 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 23*j**2 + 61*j - 50. Calculate a(20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 4*x - 5. Let i = 10 + -7. Suppose -v + 5*v - w = -16, 0 = i*v - 2*w + 12. Give y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (-2 + 7) - ((6 - 1) + 52)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5 + 21*z + 8*z**2 - 21*z**2 - 4 + 0. Let x(b) = -3*b**2 + 5*b. Let i(p) = -4*l(p) + 18*x(p). Solve i(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4293 + -36112?\nAnswer: -3a3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2202.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13468956 divided by 3\nAnswer: 4489652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/170*1921\/(-1130)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316132 divided by 2.\nAnswer: 158066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**7\/7 - 19*k**3\/6 - k. Find the second derivative of y(m) wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -122 + (-2)\/(18\/(-27)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8011 + -6565. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566169.1 hours to seconds.\nAnswer: 2038208760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:40 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Suppose -4*v = -l + v - 1, 2*v + 6 = a*l. List the prime factors of 1\/(l*1\/120).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5 - v**2 + 3*v**2 - v**2 - 7*v - 4*v. Is z(12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3436*f + 136. Let c be y(-6). Let m = -4391 + c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - sqrt(165)*3 - sqrt(165))\/sqrt(11) + 1*sqrt(135) + sqrt(135))\/(sqrt(3)*2*1 + -1*sqrt(432)).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 543?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -77. List the prime factors of d + 0 + (-10)\/(10\/(-573)).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730392294*h + 730392294*h - 51*h**2.\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 5*m + 5. Let y(f) = -f + 1. Let s(k) = 2*h(k) - 10*y(k). Let b(n) = 10*n**2. Give b(s(d)).\nAnswer: 40*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50*17\/68*(-64)\/80?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2, -6*c + 3*c + p - 17 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3332 and 131024236?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3472*z + 1. Let x(l) = -5*l - 1. Determine s(t) + x(t).\nAnswer: 3467*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22122*n + 5*n**2 + 22122*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15780*c**3 + 15957*c**3 - 31735*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 168102 divided by 18?\nAnswer: 9339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 + 10. Let g be t(0). Let q(v) = -v**3 + 10*v**2. Let j be q(g). Solve 3*s = -4*z, -z - 2*s = -j*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 801 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 13) to base 11.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 15*z - 3*z**3 - 8*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4.98917*51\nAnswer: -254.44767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1960 = 427*a - 13062 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + -1 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114999190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/9 (c) -0.039 (d) -2\/7 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 13*r + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-3)\/42)\/((-2)\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -5*s, 5*n - 14 = -4*s. Let o = 27 + -24.4. Let l = o - 3. Which is the closest to -2? (a) l (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 12*n - 7. Let k be 14\/4 + -2 + 6\/4. Suppose 2*q = 4*f - 6, -8*q - 3*f = -k*q + 54. Calculate i(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7137 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 342 * 4.02\nAnswer: 1374.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(1300) + 0 - (sqrt(1300) + 5 + (sqrt(1300) - (0 + sqrt(1300)))**2 - ((2 + sqrt(1300))*4)**2).\nAnswer: 640*sqrt(13) + 20855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1029 and -13\/73325?\nAnswer: 10778775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*4\/(-2). Calculate the common denominator of w + 132\/9 + -1 and -3 + 0 + (-10)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x - 11*x**2 + 12*x**2 + 26*x - 7*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 59*f + 80. What is q(-19)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide ((-432)\/(-14))\/(526\/616735)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(-2)\/20*2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 11*w + 338 - 338 + 9*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -19\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by (9 + (-28)\/3)*-153?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s, 11 = -5*a + 3*s - 10. Let b = -5 + 0. Let p = 520 - 520. Sort a, b, p in ascending order.\nAnswer: b, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + 3*x + 15 = 0, -4*k = 4*x + 20. Let q be 2\/(-7) - (-13)\/(1820\/96). Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 10509*n + 10506*n - 26 = 0, 122 = 31*q + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46813160 divided by -2340658.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -25639760?\nAnswer: -1\/5127952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 5\/2 (c) 26.726\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 2*w. Let j(z) = z. Let g be (4\/(-5))\/(12\/(-30)). Suppose -i + g = i. Let d(a) = i*m(a) + 2*j(a). Let c(h) = -11*h**2. Determine d(c(r)).\nAnswer: -121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -674219.1875 to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125995, -252907, -379821, -506737, -633655, -760575?\nAnswer: -887497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -742 + 5?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 + 12 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/20150 and -129\/350.\nAnswer: 141050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -28 + (25 - 32).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 10:59 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114886377.\nAnswer: 3, 47, 90533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27560)\/1248 + (-1)\/(-12) - -10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-4 + -4 - -4) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 3*r - 2. Let l be x(-4). Suppose -4*t - 32 = l*a, -4*a = t - 1 + 30. Is (-64)\/a - (-3)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqgrrgrqqqlq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**4 + 8*r**3 - 19*r**2 - 122*r + 240 = 0.\nAnswer: -8, -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6665\/4 + 1666. Is q bigger than -478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 3039 = -4*o - 2986, y + 8*o - 37 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -372\/7. Let n = 5400.5 - 5401. Let d be (-1)\/3 + 8\/42. Sort f, n, d.\nAnswer: n, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121020012210110 + 202?\nAnswer: -121020012202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17014 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*b**2 + 21740 - 10872 - 10869.\nAnswer: -296*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/5 + 71*b**4 - 2792*b**3\/5 + 5552*b**2\/5.\nAnswer: -b**2*(b - 347)*(b - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -24234*x + 209. Let w(t) = 16156*t - 140. Let n(m) = 5*v(m) + 7*w(m). Is n(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from ghhhhhghhhgghghh?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u + 3. Let y be c(-1). Let n be (-4 + y - -12)*(22 + 1). Let j = 371 + -187. Calculate the highest common factor of j and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -33. Suppose -5*d - x = 3*y + 10, 5*y = 3*d + 5. Let n = y + 0. Put n, 5, -1 in descending order.\nAnswer: 5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (874\/(-57) - -15 - (-4)\/3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5333207039 - -313\nAnswer: -5333206726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 1. Suppose -3*z = -4*c, 2*c - 2*z + 3*z + 10 = 0. Let l(a) be the first derivative of a + 16. Give c*l(k) - 3*d(k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s**2 + 2*s + 1. Let v be 4*((-1)\/(-2) + 0). What is the units digit of j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-nine halves of a millimeter?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12869173 is divided by 60.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2585850 divided by 6\nAnswer: 430975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-24)*(-3)\/(-7). Which is smaller: -8 or x?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-12)*(56 + -58) - 12\/(-9). Put 0, -4, n, 206 in descending order.\nAnswer: 206, n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2 + 12) + (-834)\/(-60). Differentiate -10*a + 52 + 9*a + 13*a**2 - p*a**2 with respect to a.\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -30. Suppose -2*k + 5*k = 60. Suppose -k = -r - 0. Calculate the remainder when r is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81207 and 316596?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from nxxnxxnx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.48 (b) -2\/5 (c) 3 (d) -4.112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 4. Let c be s(-3). Let z be ((-3)\/(-2) - 10\/(-20)) + -4. What is the second smallest value in -5, c, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 6*u**4 + 113*u**3 - 5 - u**4 - 10*u - 103*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -2130.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -55828?\nAnswer: 1\/13957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 23*k**2 + 13*k + 30*k**2 - 52*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1560 divided by -10\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 10. Let p be (5 + -4)*2 + 2. Let l be v(p). Solve 8 = -0*h - l*h - 2*q, 4*h = 5*q + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvqltplqqqpv. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 132 (b) 1\/4 (c) 0 (d) 1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 27. Let c be i(-9). Calculate the greatest common factor of 315 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-one fifths of a centimeter?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/2 - 5*p**3 - 6*p**2 + 5*p + 11\/2 = 0?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let w = 52 + -55. Let i = 4 + w. Let f(d) = 6*d - 4. Determine i*f(z) - 4*u(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -3, 27, -0.5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/3 - 699*u**4\/2 + 33772*u**3\/3 - 133741*u**2\/2 - 296480*u\/3 - 20350 = 0 for u.\nAnswer: -555, -1, -1\/4, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9137 + 219149\/24. What is the common denominator of 1 + 363\/(-24) - -3 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/10 + 3\/(-5). Suppose -4*k + 4*t + 20 = 0, 0*t + t = i*k - 17. What is the third derivative of 18*a**3 + 13*a**3 + 21*a**3 - 11*a**k - 48*a**2 wrt a?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 31 = -3*g, -5*g + 20 = 2*t - 0. Let l = -39.99 - -39.99. What is the smallest value in -366, g, l?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3056828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/245 + -3859\/980. Find the common denominator of 3 + -7 - 155\/(-18) and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76601010?\nAnswer: 2, 3, 5, 181, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -41017*x**2 + 17. Let a(j) = 4*j. Give s(a(q)).\nAnswer: -656272*q**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18619 - 18614. What is the nearest to -1\/4 in f, 2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/4*9\/81*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 0.4192.\nAnswer: -4.5808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10402483*d**3 - 4486106.\nAnswer: 31207449*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -337*v**2 - 61*v - 2. Let r(l) = 168*l**2 + 36*l + 1. Give 3*k(b) + 5*r(b).\nAnswer: -171*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/72390 and -103\/20?\nAnswer: 144780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 2*q + 1. Let w(i) = -5480*i**2 - 5413*i + 4. Let m(u) = -6*o(u) + w(u). Find the second derivative of m(v) wrt v.\nAnswer: -11020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 5*q - 1 - 8. Let k be d(-9). What is the remainder when 10 is divided by ((-8)\/12)\/(4\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o - 4*o - 2 - 3*o - 4. Let u be j(-6). Suppose 0 = -u*f + 34 + 68. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 3*a**5\/20 - a**4\/6 - a**3\/6 - 5*a. Give b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from jjedddcucjf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7 - -24a2?\nAnswer: 23da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46271 and 207.0781949.\nAnswer: -46063.9218051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -50, 1, 0.4, -3 in ascending order.\nAnswer: -50, -3, -0.5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02409 and -199.7.\nAnswer: -199.67591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 749296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -37 - 69 - (-19 + -2).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1*-4*sqrt(171))\/(sqrt(99)\/(sqrt(33)\/sqrt(3))) + 4*(-6*sqrt(1216)*-2 - sqrt(1216)*-1*1)**2.\nAnswer: -3*sqrt(19) + 822016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3 + 1426*w**2 + 484785*w - 17006112 = 0?\nAnswer: -729, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g - 14*g - 46 - 89. Let x = -4.5 - 1.5. Let w = 5 + x. Which is the biggest value? (a) -0.4 (b) w (c) -9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1814 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011397306 to the power of 1\/2, to the nearest integer?\nAnswer: 31802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3\/157, -4 in decreasing order.\nAnswer: -3\/157, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216)*-5 + sqrt(1216) + (2 + sqrt(1216) - sqrt(1216))*4)**2 + 4 + (sqrt(1216) - (-3 + sqrt(1216)*2)) + -2.\nAnswer: -1160*sqrt(19) + 98565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*-4 - sqrt(84))\/(sqrt(84)\/sqrt(252)) + 1.\nAnswer: -54*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n + 4, 2*j = -2*n + 20. Let y be (-5 + j)*1\/3. Suppose 2\/3*s**2 - y*s + 2\/3 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 7*g**3\/3 - g**2 + 3*g - 17. Let v be d(5). Calculate the highest common divisor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -30. What is the remainder when 103 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -60?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30308.7 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -397903643265917 - 4?\nAnswer: -397903643265921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.01 (b) -3 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(7\/(-459)*3). Suppose 2*x - 88 = -0*x. Let f = x - n. Which is the third biggest value? (a) -0.3 (b) f (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 14*w - 24. Let h be a(-12). Suppose 0 = -h*j - 2*j + 24. Factor -6*l**3 - 6*l**4 - 4*l + l**3 - j*l**2 - l**5 - 8*l**3.\nAnswer: -l*(l + 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/80*2\/3 + 37\/(-20).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3133*f. Let z(j) = -19714*j + 9863*j + 9853*j. Calculate s(z(o)).\nAnswer: -6266*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 10. Let c be v(-13). Sort 2\/15, -3\/4, c in decreasing order.\nAnswer: c, 2\/15, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1215412662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 3627*m + 333. Give u(0).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n + 6. Let i be w(-4). Factor -7*p**3 - 6*p**3 - i*p**3 - 3*p**5 - 3*p**2 - 6*p**2 - 2*p - 11*p**4.\nAnswer: -p*(p + 1)**3*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129\/18 - 8 - ((-295)\/210)\/1. Which is the closest to 1? (a) 0.5 (b) v (c) -0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:02 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + 21743.\nAnswer: 21743.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8242 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, -5, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in 5, -2, 14, -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 8*l + 46*l + 80 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -242 + 241.9999693. Round o to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32601523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnmm when four letters picked without replacement from {m: 4, n: 2, s: 2, k: 5}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3*v + v - 3*v) + 20*v - 46*v - 31*v - 4 + 2*v + 4.\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + 3 + -14 - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 10)*(2 + 2 - 2)*(-b + 2*b + 2*b).\nAnswer: 72*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 14. Let o = 6 - n. Let g be 8\/(-2)*(-4)\/o. Solve 0 = -t - t + g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6304 + 6304 + 126*w + (-3 - 3 + 0)*(w + 4 - 4) to the form g*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 14\/3. Suppose -1\/3*p**2 + 0 - g*p = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39241764.\nAnswer: 2, 3, 19, 103, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x\/(x**(-2\/27)*x))\/(x\/((x**(-1\/5)\/x*x)\/x)*x**(-6)) assuming x is positive.\nAnswer: x**(1333\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 2)*(-4)\/6. Suppose -3*x - 2*h = -545, s*h + 35 - 409 = -2*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1522823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-4 - 8\/(-4)). Suppose 40 = q*z + 4*a, 0 = a + 2 - 7. Let o(w) = -z*w - 13 + 13. Let d(c) = -c. Determine o(d(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 - (-2 + 2 + 1). Let p(s) be the third derivative of s**4\/12 - 5*s**3\/3 + 5*s**2. What are the prime factors of p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*i**3*y - g*i**2 - 11*g*y + i**3 - i*y**2 - 17*i wrt y.\nAnswer: g*i**3 - 11*g - 2*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 4*sqrt(5)*3) + sqrt(5))**2 + sqrt(80) + -2*sqrt(80) + sqrt(80).\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(240)*4)\/(3*sqrt(135)\/sqrt(3)).\nAnswer: 64*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 1046248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11 - 11)\/11)\/(9 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 248630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {o: 1, l: 1, e: 6, v: 3, s: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/20)\/((-5348)\/(-3820))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-6)\/(-4))*(-35 + 37). Suppose -2929 = -h*m + 2*w + 401, 0 = 2*m + 4*w - 1690. Suppose -4*i - i = -m. What are the prime factors of i?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279.13852 rounded to one dp?\nAnswer: 1279.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 8 + -8 + 0 + -15 + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 15*h + 7. Let r be b(-15). Differentiate r*v - 2*v - 14 - 12*v**4 - 5*v with respect to v.\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (sqrt(99)\/sqrt(81) - sqrt(11)) + ((sqrt(99) - (2*sqrt(99) - sqrt(99)))*-5 + sqrt(99))\/(-2*sqrt(36)).\nAnswer: -11*sqrt(11)\/12 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. Let i(n) = 9*n**2 + n. Let t be i(-1). Suppose 2*m + t - 52 = b. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*q + 313267 - 2978*q - 313267 - 67*q.\nAnswer: -2807*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) 0 (b) 0.005 (c) -3\/8 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-3)*(-119310)\/(-164). Calculate the highest common divisor of y and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2619 and 1.53611.\nAnswer: -2617.46389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 566206*a - 2264816.\nAnswer: -(a - 1132408)*(a - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1040*s**2 - 94. Let v(t) = t**2. Calculate l(v(x)).\nAnswer: 1040*x**4 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49733655?\nAnswer: 3, 5, 3315577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -420 + 1018. Suppose -2*k = -4*m - 72, 2*k - 107 = -21*m + 18*m. Calculate the highest common divisor of t and k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*a - 149*a - 42840 = -179*a for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 5*a**2 - 5*a + 3. Let f = -11 + 15. Let z be l(f). Let g be (-105)\/(-10) + z\/2. Solve 0 = 5*r - g + 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 23*u**3 + 4*u**2 - u - 22. Let a be w(6). What is the greatest common factor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**2 - 2*q + 2*q**2 + 0*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.568 times -60.13?\nAnswer: 1777.92384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15989622.\nAnswer: 2, 3, 11, 17, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 588367842 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 113331224 (base 5) in base 16?\nAnswer: 80ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19 and -222589.19.\nAnswer: -222608.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.78 (c) -10 (d) 27 (e) 3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x + 278 = -186*v + 184*v, 0 = -3*v + 2*x + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859 = -46*l - 18*l + 485 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-20))\/(2\/(-7096)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -41 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55584 is divided by 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(252) + -4 + (sqrt(252) - (2 + sqrt(252)*-2)) - ((2 + sqrt(252))*-2 + sqrt(252) + -6*(-1 + sqrt(252) + sqrt(252) - sqrt(252)))) + 0)**2.\nAnswer: -1188*sqrt(7) + 30573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -15, -20, -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.9724 rounded to two dps?\nAnswer: -19.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 50. Factor -f*k**2 - 66 - 114 - 45*k - 15*k.\nAnswer: -5*(k + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, k: 3}. Give prob of sequence ek.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1224*i**2 - 4*i**3 + 0*i**3 - 1154955*i + 1061319*i.\nAnswer: -4*i*(i + 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196.89 + 206.1. Let j = g + 502.79. Let y = j - 521.86. What is y rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -17. Let h = 5.9 - 0.9. Which is the nearest to 1? (a) h (b) n (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/(1462\/102 - 15). Which is the second biggest value? (a) o (b) -2\/39 (c) 0.4 (d) -0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 12*f - 7 + 20. Solve 2*q - u - 18 = 5*q, -2*q = -3*u + f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 42. Let x = 56 - d. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 10*y. Let t be b(-5). Suppose 3*g - 224 = o, -4*g = -t*g + 3*o - 316. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 take away 655783?\nAnswer: -654782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 5. Let z be g(4). Let c = z + 18. Calculate the lowest common multiple of 6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, l: 2, q: 2, e: 1, o: 1, v: 1}. What is prob of sequence ovw?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -718.5 + 82.5. Let c = -639.69 - i. Let b = c + -0.31. What is the smallest value in -5, b, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/168*63\/99\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.26*-0.1.\nAnswer: 1.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49695114 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-12))\/5 + ((-11685)\/(-36))\/19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*((-10788)\/(-319) - 38)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*p + 15 = 0, -3*p + 9 = 4*v + 2*p. Find the third derivative of -2*f**v + 1380*f**2 - 694*f**2 - 745*f**2 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9448.9 less than 1701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21623.34 + 21623. What is the second smallest value in s, -2, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -931 * 15\nAnswer: -13965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 10*k - 12. Determine i(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffttffftftf. What is prob of sequence ffff?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00526 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.4 from -340440.\nAnswer: -340463.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 28760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 11.76\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 53*z + 428. What is a(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 308*7\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q - 118 + 124 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40645773881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 15. Let l be j(38). Suppose 0 = -2*n + y + 25166, 16 = 49*y - l*y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 42*v + 2 - 1 + 0. Is s(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 1:56 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*d - 6. Let y be -6 - d\/((-3)\/3). Let m(v) = 2*v**2 + 5*v - 3. Let p = 9 + -10. Let f(s) = -s. Determine p*m(g) + y*f(g).\nAnswer: -2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -299*u - 595*u - 124266 for u.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 869 and 5995.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12*v**3 - 3*v**2 - v + 3. Calculate u(-2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 8. Suppose 5*c = 2*f - f + 1, 2*f = -3*c - 15. What is the remainder when 5 is divided by u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-81)\/(-12) - (-177)\/204.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 less than or equal to 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/60 + 7*d**4\/24 + d**3\/6 - 2*d**2. Is b(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/10)\/(((j*j*(((j*j\/j**(-5\/6))\/j*j)\/j)\/j*j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 4)*(-2)\/(-45). What is the second biggest value in -0.5, d, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5679990.\nAnswer: 2, 3, 5, 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/35? (a) -0.5 (b) 12 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2430)\/(-9)*(-8)\/(-20). What is the greatest common divisor of p and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 873 or -9\/5?\nAnswer: 873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8988*-8.8\nAnswer: -79094.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 30) + 0 + -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6562260 (base 9) to base 10\nAnswer: -3524931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3658 - 3663. Sort 1, 0, f, 5 in increasing order.\nAnswer: f, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31623*d**2 - 5*d - 569555 wrt d.\nAnswer: -63246*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 208326024 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20700624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.53513 days to milliseconds.\nAnswer: 5143835232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 6.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:39 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 11 = -n - 4, 0 = 2*y + 4*n + 18. Let u be -27 + (-4 - -4)\/y. Is 4\/(-18) - 897\/u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 2026986514.509.\nAnswer: 2026986515.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1403 less than -0.35?\nAnswer: -0.2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + -7 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/1541, -5, 13\/6, -0.3, 67?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 23*v + 132. Give n(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(3)*-2*-4 + -5*((sqrt(300) - sqrt(300)*-1) + sqrt(300) - sqrt(300))**2.\nAnswer: -6000 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -689*p + 46310. What are the prime factors of g(0)?\nAnswer: 2, 5, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158272 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-202 - 46*i + 202)*(-2*i - i**3 - 6*i**2 + 2*i**2 + 2*i**3).\nAnswer: -46*i**4 + 184*i**3 + 92*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*-292.\nAnswer: -671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35592, 70416, 105240?\n\"Answer: 34824*d + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -1 (b) -4\/7 (c) -2 (d) 85\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 23. Let j = 16 + z. Let v(l) = 2 - 7*l + 5 - 12 + 8. Let y(r) = 6*r - 2. What is j*y(d) + 3*v(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 205391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + 3 - (51 + -72 + -1 + 4)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 33 + 32 - 22 + 2*h - 28.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + i - 15, 2*i + 66 = 3*g. Suppose -3*k = -k + g. Let j = -6 - k. Solve -2*u = h, -h - j = 2*u - 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t - 104*t = -414869 - 682127. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 7. Let a(s) = -264*s - 198. Let z(w) = 27*w + 21. Let d(o) = -7*a(o) - 66*z(o). Give q(d(i)).\nAnswer: 264*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121 + -6 + -52 + (1 - 21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5518*k - 3561*k - 10372*k as w + r*k and give r.\nAnswer: -19451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10872, 45800, 104016, 185526, 290336?\nAnswer: 418452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94505 (base 12) to base 5.\nAnswer: -22204021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-14)*j**9)\/(j\/j**(-4))**(1\/4) assuming j is positive.\nAnswer: j**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) 679 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3 - 3*a. Let g(u) be the second derivative of 2\/3*u**3 - 75*u + 0*u**2 + 0. Give g(r(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 122. Let t = 20.3 + c. What is the biggest value in 0.7, t, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 3*p**3 - 7*p**3)*(15 + 76*p - 33 + 19).\nAnswer: -76*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -678.458 - 0.542. Let w = h - -183. Is w less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228614 and 1509698?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 e when three letters picked without replacement from uuddudedd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210112100221 (base 3) in base 15?\nAnswer: -13d08d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106293 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56558?\nAnswer: 2, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4612.9 + -4826. Let t = -192 - b. What is t rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 11*c**2 + 12*c - 9. Let x be a(9). Let s be 158\/18 + (-14)\/x. Let b = s - 1. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/13 - 1086*g**3\/13 - 135230*g**2\/13 - 462450*g - 6305000 = 0. Calculate g.\nAnswer: -388, -65, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 467556 and 124832.\nAnswer: 310457184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdblr. Give prob of picking 1 r, 2 w, and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2 - 4*h - 6. Let l(q) = 5*q**2 - 3*q - 6. Let b(r) = 5*l(r) - 4*v(r). Factor b(k).\nAnswer: (k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*f + 3444, -4*u + 4*f + 6890 = -f. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*y - 16 = 0, 18426*u = 18423*u + 3*y + 24 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m + 72*m - 20 = 0. Put m, -1\/3, -3.1 in descending order.\nAnswer: -1\/3, -3.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = 8*s + 6*s - 60 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -q - 4*q - 5*o, -2*q + o = -4. Suppose 0*z + 4 = -q*z. What is the third biggest value in 0.2, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from wkkkkwjkwkjkkwwwww?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8930*i + 24. Let w(z) = -36621927*z - 98428. Calculate 24607*f(t) + 6*w(t).\nAnswer: 8948*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:07 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*16\/(-64).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -119 + 54 + 48 + 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 18 = 0, 0 = -3*i + 3*k + 1550859 + 4747902. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 5, w: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 + (0 - 1) - -18 and (-1 - 18\/(-15)) + (-1450)\/(-250)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmmm when four letters picked without replacement from mpmmppptppmpmpptppm?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m**(-2\/45)\/m))\/m*m\/m**(2\/13)*m\/(m*m*m**(-2\/65)*m)*m*m**(-12)*m*m assuming m is positive.\nAnswer: m**(-4726\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5292 and 5292.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/513 and 149\/1017900?\nAnswer: 19340100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**5\/20 - 5*l**4\/12 - 13*l**3\/6 - 10*l. Let z(b) = 2*b**3 - 12*b**2 - 32*b. Calculate 12*j(y) - 5*z(y).\nAnswer: 2*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*f**3*h**2 + 6*f**3 - 1066*f**2*h + f*h + 659*f - 94*h**2 - 2*h wrt f?\nAnswer: 798*f*h**2 + 36*f - 2132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -15 - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*n + 10*n - 20 = 0, 2*j = -4*n + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1*354\/(-19411))\/((-6)\/(-14))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 27504.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/j**(-2\/31))\/((j**(-10)\/j)\/(j*j**(-3\/7))) assuming j is positive.\nAnswer: j**(4044\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 + 493 = -26*w + 5*t - 412, 28 = -w - 2*t for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*f**4 - 15*f**2 + 2*f.\nAnswer: -3240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 + -2 - -2) - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-1)\/k)\/k*k)**(-5))**30 assuming k is positive.\nAnswer: k**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (23\/((-1380)\/(-36)))\/((-57)\/(-10))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 21 (b) 0.09 (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = -4*l. Let b = -9 + 5. Let y be 1\/b + (-9)\/(-4). Solve 0 = -c + 3*f - 20, y*c = -2*c - 3*f - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 - 229. Which is the biggest value? (a) u (b) 8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 160455 + 54755 - 46930. Is 40 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2 - 11*g - 6. Suppose 5*m - 4*m - 12 = 0. Let i be 3\/(9\/m) + -2. Let n(q) = -2*q + 0*q**i - 1 + 3*q**2 - q**2. Calculate 6*c(d) - 34*n(d).\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xele when four letters picked without replacement from {l: 4, x: 1, e: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6*o**9)\/((o\/((o*o\/(o**(-9)*o))\/o*o))\/o**(1\/3)))**(-6\/17) assuming o is positive.\nAnswer: o**(-146\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 483 and 2.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 52.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207472879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-37.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11442 is divided by 2859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/6760 + -35913\/3380. Calculate the common denominator of (-387)\/60 + (2 - -2) and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33510, -67001, -100482, -133947, -167390, -200805, -234186?\n\"Answer: q**3 - q**2 - 33495*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 48 - 89 + t + 35.\nAnswer: t + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -421, -551, -681?\n\"Answer: -130*h - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.323s in nanoseconds?\nAnswer: 802323000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*v = 26, -4*v = -81*w + 84*w - 4. Solve 4 = -u + c, -7*c + 20 = -5*u - w*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -553802 - 106282.6. Let t = -660113.69877 - k. Let b = t + 29.1. What is b rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 16*f = -4113. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f**3 - 5*f**2 + 40*f - 33. Let x be b(5). Does x = 1541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56288 - -83242. What are the prime factors of n?\nAnswer: 2, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2773973\/728 - -26678\/7. What is the common denominator of q and (-4)\/10 - 14\/16?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5952)\/(-248)*(3\/(-8))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 2801047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/5, -150, 12, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43\/6 - 7. Let g(j) = -j - 11. Suppose -39*y = -35*y + 84. Let v be g(y). Put -0.4, v, r in ascending order.\nAnswer: -0.4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 - 1370 - 2*i**3 + 1373 + 19*i + 7*i. Calculate r(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -14.33\nAnswer: -214.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 444*x + 443.\nAnswer: (x + 1)*(x + 443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.5211.\nAnswer: 0.26055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00455009818 rounded to five decimal places?\nAnswer: -0.00455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93, 289, 485, 681, 877?\n\"Answer: 196*k - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 - 2. Let s = -60 - -142. Suppose s = -4*l - v. Round l to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54415 or -54432?\nAnswer: -54432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v**3 - 8*v**2 + 6*v + 2. Let b be c(5). Let k(i) = -1027*i. Let q be k(-1). Let s = q - b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 10. Let m be g(-8). Let s be m - -3 - 2 - -12. Suppose 4*x - s = 25. Solve -3*k + 3*u - 4*u = 15, 3*k + x = u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4577, -2, 74 in decreasing order.\nAnswer: 74, -2, -4577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098763.\nAnswer: 311, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5838808 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -442 take away -460166.2?\nAnswer: 459724.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 81.6 * -7\nAnswer: -571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1006 or -1008?\nAnswer: -1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5810, 15, 81, -2 in ascending order.\nAnswer: -2, 15, 81, 5810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83299382 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492072 by -82012.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 3) to base 14\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520416 and 13536?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59141556, 118283148, 177424742, 236566338, 295707936, 354849536?\n\"Answer: a**2 + 59141589*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3315216 to the nearest one thousand.\nAnswer: -3315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 1. What is the tens digit of s(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4516, -13, -12\/7, -5, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 1174184?\nAnswer: 8219288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 57.94, 0.4, 19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 2\/21, 0.5, -4, -2\/105?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2264207 is divided by 2264104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**9\/756 - k**5\/24 + k**3\/3 - 3*k. Let v(j) be the second derivative of o(j). What is the second derivative of v(f) wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6868?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 9*k**2 + 8*k + 4. Let u be f(8). Suppose -5*c + 0*b - b + 96 = 0, -36 = -c + u*b. Solve 4*o + c = -0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16870 - 10073. Suppose 16*v - 17*v = -k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 1716, 3832, 6788, 10584, 15220, 20696?\nAnswer: 27012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*k - 28, -q - 4*k + 4 = -4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 5, y: 2}. What is prob of picking 2 y and 2 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1072, 1127, 1180, 1231, 1280?\n\"Answer: -y**2 + 58*y + 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -4.\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4739851?\nAnswer: 257, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 10*c - 76. Suppose 16*j - c*j = -13*j. Let r be 110\/130 - (-2)\/13. Sort r, 9, j, 5 in ascending order.\nAnswer: j, r, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1847736.5 to the nearest 1000.\nAnswer: -1848000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-3)*1)\/(357\/255*-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1850?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154163451 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m - 5. Let c be p(-5). Let v = 63 + -39. Suppose 2*t - v = -2*t. Solve 2 = 3*x - 2*i, -1 = 3*x - c*i - t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*q - 34. Let g = 23 + q. What is the highest common divisor of g and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 less than 150.11?\nAnswer: 149.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:28 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 257339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, 50, 256, 546, 920, 1378?\nAnswer: 1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 + 415. Find the first derivative of -u + 1412*d**2 - 2913*d**2 + 1368*d**2 wrt d.\nAnswer: -266*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:43 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -3 + -4 + 1 + -2 + 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (365*v - 365*v - 57*v**3 + (3 - 3 - 1)*(v - v + 2*v**3))*(-v + 0*v + 3*v).\nAnswer: -118*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let z be 1 + (i - 0) - -7. Suppose 0 = 2*y + 8, -24 = 4*f - z*f - 2*y. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + u - u)*(-2 + 5 - 2)*(1 + 0 - 4)*(0*u - u - u) as q + f*u**2 + o*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*j - 5 + 25, 0 = -2*f - j + 15. Solve 4*n + 5 = 5*h, n + f*h - 7 = 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 5941.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + l = 12, -9 + 17 - 16 = -2*t + 2*l for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040149 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -188, 3\/4, 1, 0, 2\/5 in ascending order.\nAnswer: -188, 0, 2\/5, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:22 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**2 + 284*m - 170. Let o be n(-29). Put -8, o, 11 in ascending order.\nAnswer: -8, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 8*r**2 + 7*r + 4. Let y = -18 + 11. Let m be s(y). What is the closest to 0.1 in m, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2784*v + 818558. Calculate d(294).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 2*y + 7*y - 9*y + 50*y**2.\nAnswer: 50*y**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u**3 + u**2)*(3 + 2*u - 3)*(-6 + 8 + 8)*(0 + 5 - 1)*(1 - 1 - 1).\nAnswer: -80*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 22217\/4 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/5307, -4, 19?\nAnswer: -14\/5307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6419631 is divided by 11423?\nAnswer: 11328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35264, -70527, -105790, -141053, -176316?\n\"Answer: -35263*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 937 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6797.037 millilitres to litres.\nAnswer: 6.797037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1125 divided by 20570\nAnswer: 225\/4114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12. What is the derivative of 7*c**2 + 2 - c**2 + f*c**2 wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzf. What is prob of sequence fff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0662*-20151\nAnswer: -1333.9962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 - 34*y - 17. Let u be i(-5). Solve u*w = -3*n + 9, 4*w - 19 = -3*n - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.005 and 0.56?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*u - u + 123, -5*o - 675 = 5*u. Let k = 66 - 122. Let w = k - o. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31302 + (-2)\/((-5)\/(-5)). Round q to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from egoexxxeyeyxeex?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 1 + 0*u - 2*u**2 + 0 - 2*u - 2*u**3. Determine k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from sbssbbbbbbb.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 8738680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - 809?\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Let i = -24.4 - -24.94. Let r = -4.46 - i. Which is the closest to -0.1? (a) -2 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 459*b**2 + 32 + 11 - 461*b**2.\nAnswer: -2*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/19)\/j)**49 assuming j is positive.\nAnswer: j**(98\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15*c + 10. Calculate d(-27).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 11) in base 9?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 + (5 - 4) + -1. Let n be (-45)\/(-6) + 0 - 6\/s. Let c be (-2)\/n + 12\/48. Let k(g) = g**3 - g**2 + g - 1. Give k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809195 is divided by 16858.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + i)*(1 - 2*i - 1) + 10*i - 290 + 4*i**2 + 290.\nAnswer: 6*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 1662529*n - 1662527*n = -48, 0 = -4*i + n + 24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5781 and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 27 + -74 + 48\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:56 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168*u**4 - 90*u**4 - 633*u**4 + 2*u**4 + 2*u**4 - 2*u**4 + (-2 + 7 + 0)*(-2*u**4 + 0*u**3 + 0*u**3).\nAnswer: -563*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 17 = -17 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 57*z**2 - 9*z + 2. Let i(y) = 59*y**2 - 10*y + 3. Let f(j) = 4*h(j) - 3*i(j). Suppose -3*t + 8 = -l - 0*l, l + 4 = t. Does 13 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4215985535 - -285\nAnswer: -4215985250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - (0 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 1471, -4, 3, 2 in descending order.\nAnswer: 1471, 15, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262083*m**3 + 953*m**2 + 1076816251?\nAnswer: 786249*m**2 + 1906*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 1620*y + 38312. Let i be j(-24). Let w = 0 - 0. Solve w = -z + i - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (553*y - 3046 + 3046)*(5*y - 2*y - 2*y) in the form m*y**2 + t*y + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000011101010110 (base 2) in base 11?\nAnswer: 170400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138166.\nAnswer: 2, 7, 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/18*2)\/(((-1323)\/27)\/1323)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + d + (-4 + 2 + 5)*(d + 0*d + 2*d) + 1 - 1 + 2*d + 3 - 3 - 3*d in the form q*d + c and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-4)\/((-16)\/(-12)). Does 23 divide ((-18)\/15)\/h*-185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017766 rounded to six dps?\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4099 - -4099. Solve x = -5*s - 42 + 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1010 divide 22521487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7258909 (base 10) in base 5?\nAnswer: 3324241114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462*h + 1458*h = 4*f, 0 = -3*h + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/72, -5, -0.3 in increasing order.\nAnswer: -5, -0.3, -1\/72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 11. Let o = 13 - 21. Let w be n(o). Suppose -8 - 22 = -w*u. Sort -1, 5, u in decreasing order.\nAnswer: u, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1241 and 287036.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1051.27 + -0.484583.\nAnswer: 1050.785417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237.5032 millennia to centuries.\nAnswer: 2375.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + w + 24 = 16*j, 29 = -5*j + 4*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {v: 2, r: 1, j: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (13 - 24) + 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53178*a**2 + 106210*a**2 - 53110*a**2.\nAnswer: -78*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 5\/23 (b) -2 (c) -0.2 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1045, -4188, -9427, -16762, -26193, -37720?\n\"Answer: -1048*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84515 from 4395.9.\nAnswer: 88910.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a - 135. Calculate the least common multiple of 2 and i(44).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 3926796?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 10. Let g be r(-7). Let z = 46 - 17. What is the remainder when z is divided by -20*(-2)\/(1 + g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*u = 222*u + 2*k - 4, 2 = -2*k. Solve -u*c - 2*r - 5 = -3, 14 = -4*c + r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 63. What is the second biggest value in v, -0.03, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844422 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: Is -13362745 less than -13362690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 145, 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(176)\/sqrt(4))\/sqrt(4) + -4.\nAnswer: -4 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7609, 15218, 22825, 30430, 38033?\n\"Answer: -r**2 + 7612*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -197.5?\nAnswer: 197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 40. Is y >= 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -4. Let t(y) = -y**3 - 9*y**2 - 8*y + 5. Let o be t(x). Suppose -o*b + 6 = -99. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014615104 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65143064 a multiple of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -1\/2*b**5 + b - 1\/2*b**3 + 3\/2*b**4 + 0 - 3\/2*b**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0 + 1\/4*m**5 + 3\/4*m**4 + 1\/30*m**6 + m**2 + 11*m + 7\/6*m**3. Factor x(a).\nAnswer: (a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -35*p - 93. Calculate the remainder when h(-21) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132340 - 0.0190337\nAnswer: 132339.9809663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -708 - -1040. Calculate the remainder when f is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*y = 167*y - 3910. Let j = -21 + 38. Calculate the greatest common divisor of j and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + k = -20, -h - 4 = -5*k - 0. Let q be (-155)\/(-15) - -5 - (-8)\/12. Let o be h\/q - 183\/(-156). Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -33 + 13. Let b(p) = -p + 12. Let z be b(j). Suppose 6*u = -11 + 29. What is the highest common divisor of z and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 100596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9554 - 9182. Calculate the remainder when w is divided by 132.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from nddmsdusnnunmsumnm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11136 and 2656197?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001236645 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 10, 18, 24, 28, 30, 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/49*7)\/(10\/105)*12\/14\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.414603 times 0.6?\nAnswer: -0.2487618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 1. Let g = -5 + 5.3. Let n = -18677\/14 + 1334. Which is the second smallest value? (a) m (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 8390*k - 1 + 2*k**2 - 3*k**3 + 16376*k - 8867*k as v*k + a*k**3 + x*k**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (496\/(-21948))\/((-14)\/21)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.014 and 2199858.\nAnswer: 30798.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-18 - -6) + 1950 - 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 18*m**2 - 192*m - 512.\nAnswer: -(m + 4)*(m + 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 2. Let k(l) = l**2 + 12*l + 40. Let w be k(-6). Give v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 = 43*g + 46 - 247 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*w**4 - 2)*(3 - 5 - 4) in the form u*w**3 + y + z*w + f*w**4 + l*w**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -17765?\nAnswer: -17765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*s**4 - 95*s**3 - 10*s**2 + 125*s**5 - 75*s**4 - 170*s**4.\nAnswer: 5*s**2*(s - 2)*(5*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 398 = -88*w - 26 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7300 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 102?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5224395 to the power of 1\/2, to the nearest integer?\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -11b6?\nAnswer: -11a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 42. Let p = j + 24. Solve 21 = 5*s + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-113 + 118 + -13 + (1 - -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.685 - 13.75. Put c, 1, 2 in increasing order.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*r**3 + 15*r**2 + 4*r*s - 8672*s wrt r.\nAnswer: 15*r**2 + 30*r + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12127176*w**3 - w**2 - 196593*w - 24 wrt w?\nAnswer: 72763056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.76837 hours in seconds?\nAnswer: 89166.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:19 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 6. Let k be p(-6). Let j = 8 - k. Let f(d) = 3*d**2 - 2*d. Let s(a) = 2*a**2 - 2*a + 1. Let w(x) = -3*f(x) + 4*s(x). Calculate w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/120 - f**4\/24 - 7*f**2 + 4. What is a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1040 - -577. Let n = 414 + t. Is n at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 2, q: 4}. What is prob of sequence qghq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/(-126)*9\/(-12)*-39\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/460 and -49\/153939.\nAnswer: 3078780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282662571?\nAnswer: 3, 23, 389, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -78. Suppose 100 = 8*p + g*p. Which is bigger: 7 or p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 - 2 = 0. Suppose -f*v + 30 = -2*v. What is the remainder when 29 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95862 is divided by 15233?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnaarnlaakl. Give prob of picking 1 r and 1 a.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.108 from 1.51.\nAnswer: 1.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + -1 + 0 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-39)\/27918*-554. Let x = 8479 - 4383645\/517. Let h = x + m. Put 4, h, -7, 0.1 in increasing order.\nAnswer: -7, 0.1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1248 and 1\/195882?\nAnswer: 40743456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.6 + 6.6. Let g be ((-9)\/81)\/((-4)\/8). Which is the second smallest value? (a) -5 (b) g (c) r (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-5*sqrt(136)*1*3)\/((sqrt(72) + (sqrt(72)*-2*1 - sqrt(72) - sqrt(72) - sqrt(72)) + sqrt(72))\/(sqrt(36)*-3)))**2.\nAnswer: 550800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*-2*-4 + sqrt(896) - -4*2*sqrt(896))\/(-2*(sqrt(28) + sqrt(112)*4)\/sqrt(4)))**2.\nAnswer: 9248\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 5.05. Let o(z) = 3*z**2 - z - 1. Let w be (-5)\/(-25) + 6\/(-5). Let q be o(w). Which is the third biggest value? (a) t (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 7*x**2 + 69*x - 18. What are the prime factors of f(12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 5*q - 5. Let m(s) = -s**3 + 2*s**2 + 4*s + 4. Let u(j) = -32*j - 36. Let p be u(-1). Calculate p*l(v) - 5*m(v).\nAnswer: 5*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4361 - -39287\/9. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-nine halves of a century?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 25. Let j be (-54)\/(-15)*(-50)\/g. Let o be (2 + 1)*1\/1. Solve o*c + 0*c + j = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 5*k - 4, 20*k - 43 = -7*c + 2*c + 18*k for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -341 + 311.96. Let c = y + 29. What is the fourth smallest value in c, 4, -4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6090*p - 85387. Give q(-14).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 16*t - 12 = 0. Let n be (-467)\/((-3 + 2)\/3). Let s be 1\/(t\/n) + 31\/124. What is s rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/9 - 7)\/(-3 + 328\/108).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -997.723 + 997. Let w = -1.723 - q. Which is the smallest value? (a) 6 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(4 + 27\/(-6)). Let n = u - -2. Suppose 15 = -6*y + 3*y, -n*j + 5 = y. Solve -3*i - 1 = -3*t + 2, 5*i + j = t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 948246 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e6b + 1?\nAnswer: -e6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 times 13?\nAnswer: -4914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 28. Is -3 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3\/2) + -15. Let j(n) = 667*n**2 - 9*n - 3. Let u(i) = -500*i**2 + 10*i. Let w(o) = -3*j(o) - 4*u(o). Determine w(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 + 6*o**2 + o + 1. Let x(y) = -5*y**3 + 6*y**2 + 2*y. Let v(l) = -4*r(l) + 3*x(l). Let u be v(6). Let q(z) = z**2 - u - 5*z + 8. Give q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 249*k**2 - 7*k + 3. Let q(w) = 125*w**2 - 4*w + 2. Let c(s) = 4*a(s) - 7*q(s). Let t(m) = 2*m. Determine c(t(u)).\nAnswer: 484*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxhgxsgquux. Give prob of sequence uh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*u - 459 = 69 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:21 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -4691?\nAnswer: -4669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 645 - 323. Calculate the least common multiple of 10 and z.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y - 694. What is o(-49)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.58494kg in micrograms?\nAnswer: 55584940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 + 2747?\nAnswer: 27a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 15. Let q be (-2)\/(1 + (-50)\/54). Let y = q - -15. Let r be u(y). Solve 0*s - 12 = -r*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-4))\/o**(-7\/3))\/(o**6*(o\/(o*o**(-24\/7)\/o)*o)\/o) assuming o is positive.\nAnswer: o**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 7*p**2 - 6*p - 1. Let l(h) = -h**3 + 10*h**2 + 9*h + 2. Give 5*l(x) + 7*v(x).\nAnswer: 2*x**3 + x**2 + 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdvvvdvvvddkdvvkddk. Give prob of picking 1 k and 2 d.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert d792a (base 14) to base 6.\nAnswer: 15053202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 447886140 divided by 195\nAnswer: 2296852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -7 (b) 0.3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - (1 - -2) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (2 + (-35)\/(-1)*-643) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 31 + 265 = 0. Let x = -28 - y. Suppose -10*t = -x*t - 118. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 9062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 26 = -4*o, 5*v - 35 = 18*o - 22*o. Let q = -34 - -37.2. Let t = 3 - q. Which is the closest to t? (a) 5\/4 (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6832, -11831, -16828, -21823, -26816, -31807?\nAnswer: -36796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140.25 + 140. Let j = 14.85 + d. Round j to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((65\/(-39))\/((-35)\/21))\/(903\/(-42))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**2 - 10*d + 1. Let x be s(-3). Let b(z) = -116*z + 24. Let w be b(x). Differentiate -w*g - 11*g**3 + 604*g + 16 with respect to g.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 25*a - 704. Determine b(19).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 12. Let x be w(-10). Let p be 3 - (x\/2)\/(-4). Let b(i) = 0*i + p*i - 5*i - 5*i. Let l(a) = -a**2. What is l(b(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 4. Let w be i(0). Let d be 11\/w + (-2)\/(-8). Suppose 0*c - 2*x - 12 = -d*c, c = 4*x - 6. Solve -5*z + 2*y - 29 = 0, c - 18 = 2*z - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {z: 4, k: 5, l: 2, y: 1, f: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 + 222*j - 387. Give f(36).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/121 + (-257257)\/6419413\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 11 + 10*k in the form d*k + a and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 16379.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y**2 + 4*y + 20. Let i be v(6). Let u = -55 - i. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7) + (-2 - 0 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*w + 0 = -4, 4*a - w = 16. Suppose -a*q - 2*u - 32 = -q, 0 = 3*q - 4*u + 44. Find the common denominator of 25\/6 and ((-2)\/(-9))\/(q\/267).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*x - 5. Let l be 6\/x + (-567)\/(-45). Let a be (0\/(-2))\/(-153 - -152). Solve -m - 2 = a, 0 = -4*r + 2*r + 4*m + l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 19 + (1 - 3 - 4)*(-1 + 1 + 1))*(-2 + 2 - 5*k**4).\nAnswer: 85*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - i**2 + i**2 + 3*i**2 - 2*i**2 + (-i + 0*i - 3*i)*(-i + 0*i + 3*i) + 2*i**2 + 6*i**2 - 5*i**2 to r*i + t + n*i**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, u: 3}. Give prob of sequence fff.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/7 (b) 0.1 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 456 + 1141. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18360 and 33804432.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nddhnnnnnnddn. What is prob of sequence nnh?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + 105. Calculate the remainder when y is divided by ((-8)\/16)\/(0 + (-1)\/54).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6386835 divided by 6386835.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1848 and 103\/756.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -14, -22.27, -9\/2 in increasing order.\nAnswer: -43, -22.27, -14, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:16 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from lllolllllllol?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - 10 - 13*t - 9*t**2 - t**2 + 4*t**2. Suppose 3*u + c + 12 + 10 = 0, -5*u - 42 = -c. Does 30 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378618 (base 9) in base 5?\nAnswer: 24320114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*l**2 + 131043 - 627*l.\nAnswer: 3*(l - 418)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(3\/2))\/(m**17\/m*m) assuming m is positive.\nAnswer: m**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 11. Let y be i(9). Suppose -4 = 5*j - 3*r - 2, -y*j - 16 = -5*r. Suppose 4*v - 5*v = j. Which is the biggest value? (a) 3\/4 (b) 1\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 35554353*o**2 - 35554355*o**2 - o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 4683187.\nAnswer: 78\/4683187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 13*y**2 - y - 9. Let h be o(-13). Suppose -h*p = -2*p. What is the third derivative of -8*c**2 - 2*c**3 + p*c**3 + 8*c**3 + 0*c**3 wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15630 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 610\/(-50) + 2\/10. Let l be 1\/(-3) - 1252\/c. Suppose 4*y - 32 - l = 0. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**5 - 401*j**4 - 12*j**3 + 3*j**2 + 371*j + 29 wrt j?\nAnswer: 60*j**3 - 4812*j**2 - 72*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -1)*(-4)\/(-6). Let z be (-31)\/(12\/4 - 4). Let h = z + -30. Solve h = -v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 31996\/(-836) - ((-18)\/(-153) + (-404)\/(-34)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1. Let g be (o\/(-5))\/((-1)\/2). Let n = 415.7 + -416. Put 0.06, g, n in descending order.\nAnswer: 0.06, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b*b**(-1))**(-8\/11) assuming b is positive.\nAnswer: b**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (43\/((-11180)\/3705))\/(2\/((-40)\/25))\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = 3*u. Calculate the least common multiple of (u\/6)\/((-12)\/360) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*h + 5*j, h + 3*j = -2*j - 17. Let t(y) be the first derivative of -h + y - 3\/2*y**2. Differentiate t(c) with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 9 - -1) + -1 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/200 + (-40)\/(-32) - 74\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 16*s**2 + 14*s - 24. Let l be (-193)\/(-13) + -3 + 6\/39. Is p(l) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b + 7 = 2*w, 5*w - 4*b = 34. What is the remainder when (-2)\/(-8) + (-163)\/(-4) is divided by (21\/w)\/((-2)\/(-12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -52 + (-21 - (4 - 9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 4 - 4. Suppose m*u - 3*u = -852. List the prime factors of u.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 34, 7\/4, 1\/3, 29972?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1388295, 5553212, 12494751, 22212918, 34707719, 49979160, 68027247, 88851986?\n\"Answer: j**3 + 1388305*j**2 - 5*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 5. Let y(a) = 5*a + 1. What is s(y(j))?\nAnswer: 5*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 2*r**2 - r. Let g be i(5). Let n be (8\/g)\/((-22)\/55). Sort -0.3, 0, n in decreasing order.\nAnswer: 0, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/12*-3 - (0 - 3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 6. Let r be q(-5). Let d = r + 12. Let m = 0.3859 - 0.0859. Put d, m, 4 in increasing order.\nAnswer: m, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -0.5 (c) -0.166 (d) 3 (e) 1\/5 (f) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1005457*b**2*k - b**2 + 706*b - 366 wrt k?\nAnswer: -1005457*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14738 = 517*h + 807*h - 44842 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258739 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 18250063 to the nearest ten thousand.\nAnswer: 18250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 165 - 61 = 0. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 36 = -5*h, -2*h + 49 = 4*l - 15. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 - -231. Let z = 256 + p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 1. Let z(t) = -t**2 - 3*t - 3. Let b be z(-2). Let y be b - -2 - (5 - 3). Let o be 1 + -4 - (y + -7). Let a(j) = j. Give o*a(d) - q(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36976\/7 + -5299. Is -17 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405) + -2 + sqrt(405) + -1 + (sqrt(2205) + -1*sqrt(2205) - (sqrt(1620) + -4)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 18, 34, 54, 78?\n\"Answer: 2*k**2 + 6*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/2 - 2175*r**2 + 26019*r\/2 - 19494.\nAnswer: 3*(r - 1444)*(r - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 319, 152, 93, 4, 5 in descending order.\nAnswer: 319, 152, 93, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*4\/(-128)*-8. Let b = -122 - -200. Suppose -v*y + b = -y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420644 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.173 + -0.037. Let k = 105.49 - 106. Let v = t - k. Round v to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.8 + -48. Let i = r - 1.8. Let p = 0 + -1. Sort i, 0.2, p in decreasing order.\nAnswer: i, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75223607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -3)\/(8 - (-420)\/(-54)). Is z bigger than -87\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/3 - 13*h**2\/2 - 8*h - 183. Calculate v(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*f**3 + 39 - 39 + (-2*f**2 + 0 + 0)*(-4*f + 2*f + 3*f)*(5 - 3 + 9).\nAnswer: -70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6240 + -65?\nAnswer: -6315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9891.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*i - 4*f**2 + 10*f*i + 442498*f - 19553*i - 2089 wrt f?\nAnswer: 4*f*i - 8*f + 10*i + 442498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 - 13*l**3\/6 - 3*l**2 - 2*l. Calculate the remainder when b(-5) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 32547?\nAnswer: -32551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 24335136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/9*2)\/(451\/8118)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35987*-4567.\nAnswer: 164352629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.04 + -1. Let h = a + 0.04. Let b = 17.41 - 17.11. What is the smallest value in 2\/7, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/12)\/1*78. What is the units digit of 3 + -1 - (w + -5) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11254845, 11254847, 11254849, 11254851?\nAnswer: 11254853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {v: 7, l: 1, t: 5, o: 5}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4 + (2 + 4 - 4)*(1 + 2 - 2) - 1 - 2 + 2 + 0 + 1 + 0)*(w + 5*w - 3*w) + (-3*w + w + 0*w)*(5 - 3 + 0).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/68284 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/(-3) + (-394 - -302).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*a + 78840 = 0, 6*d + 46941 = -a + 141556. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11662 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -26. What is the remainder when 38 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 6. Let f be (-1200)\/3 - ((-10 - -1) + 12). Let g = f - -407. Put g, 3\/2, -1, a in descending order.\nAnswer: g, 3\/2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.083? (a) -0.3 (b) -1\/2 (c) -10 (d) 3\/7 (e) -16 (f) 3.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10679*z**3 - 8*z**2 - 10*z - 46. Let q be y(-4). Round q to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37\/3, 0, 0.8, 31\/3, -0.2 in decreasing order.\nAnswer: 37\/3, 31\/3, 0.8, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*k - 2*g, 0 = 4*k + k - 5*g + 50. Let h be 1*k\/4*-2. Let m be 28*(4 - 22\/8). What is the greatest common divisor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 4, v: 6}. Give prob of sequence rv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -3283?\nAnswer: -3296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -164304 divided by 4564\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6323720 is divided by 4925.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.9997295 + -10. What is m rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2836 - 5?\nAnswer: 2831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**5 + 3*h**3 - 77*h**2 + 1 wrt h.\nAnswer: 420*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 17*v - 3. What is the remainder when 37 is divided by z(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -970, -897, -824?\n\"Answer: 73*b - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:55 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + -1 + sqrt(1216) + 4 - (sqrt(1216) + 3*(sqrt(1216) - (sqrt(1216) + 0 + sqrt(1216)))) - 6*(2*sqrt(1216) + 5)**2.\nAnswer: -29331 - 928*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 25*j**5 + 10935*j**4 + 1563620*j**3 + 92621200*j**2 + 1983324000*j + 778610000 = 0?\nAnswer: -227, -70, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 707168198 + -707168191.19999903. Let c = 6.8 - n. What is c rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - sqrt(1728)*-4)\/(sqrt(864)*-1 - sqrt(6))*-3)**2.\nAnswer: 64800\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - o - 17806 = -17788, -5*p = 5*o - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 825 = 6*f + 5*t, 2*t - 668 = -4*f. Suppose 3*g - 4*c = -176, -5*c = -2*g + 61 - f. Let i = g - -104. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)\/l)\/l**(3\/5))\/(l**(-9)*l**(1\/4)\/l) assuming l is positive.\nAnswer: l**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/5 - (-2132)\/1435. Let s(a) = -a**3 + 4*a**2 + a - 1. Let k be s(4). Suppose -k*y = -2*y. What is the nearest to y in -5\/2, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 3\/118, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 301, 586, 851, 1084, 1273?\n\"Answer: -2*s**3 + 2*s**2 + 293*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m**3 + 3*m**2 + 39*m - 1. Let i(r) = -7*r**3 - 2*r**2 - 19*r. Let o(y) = 13*i(y) + 6*j(y). Solve o(x) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14 + 0*n - 4*n - n - 9*n - 5. Let w = -1 + -2. Is 23 a factor of z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:59 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*(sqrt(187) - 1*sqrt(187)) + sqrt(187))\/sqrt(11) - ((6*(sqrt(187)*1 + sqrt(187)))\/sqrt(11))**2) + 1.\nAnswer: -2442 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*z - 16 = -64, -30 = -3*p - 3*z. What is the smallest common multiple of p and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6. Suppose z - 5 = -5*n + 2*z, n - z - 1 = q. Which is the nearest to n? (a) 0.5 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 179 + 2\/5*(-30)\/3. What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.363386 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 12 = 4*b, 2*b - 4*r = 4*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40.29325t?\nAnswer: 40293.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973*g - 458*g + 1282 = -730*g - 26108 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30268 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -6*sqrt(363)*-1 + (sqrt(363)*-2 + -2)**2)*6.\nAnswer: 990*sqrt(3) + 8736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a kilogram in grams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 7*a**2 + 10*a - 5. Let o be d(8). Let h = o - 8. Suppose -s - 126 = -h*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/76 and 179\/1465128.\nAnswer: 1465128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15679526*-4.\nAnswer: 62718104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*i + 20 = -2*z, 5*i - 10 = 0. Find the third derivative of 11*m**2 - 3*m**6 - 4*m**z - 10*m**2 + 4*m**6 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1796.3 and -3195086519.\nAnswer: -3195088315.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + sqrt(35)\/sqrt(5)))**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1330 - -1396. Solve k*c = 53*c + 39 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2939 - -4268. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10*s - 35. Let r(i) = -i**2 - 8*i - 7. Let d be r(-6). Put 4, s, d in descending order.\nAnswer: d, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 5*v - 62 - 33, 4*f - 100 = 7*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/24 - (-17)\/6. What is the second derivative of -38*p + 6*p**5 - 5*p**5 + 2*p**5 + 8*p**g wrt p?\nAnswer: 60*p**3 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.5, 19141, 4\/5, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253335720 and 6200.\nAnswer: 1266678600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/8)\/9*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 5. Let k be t(-5). Suppose k = m - 8 - 6. Calculate the greatest common divisor of m and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 + j. Let k = -2 + 3. Suppose 5*q - 4 = k. Suppose -b + q = -0. What is c(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 3. Let d be j(8). Suppose -v - 4 = v, -d*m - v = -48. Find the second derivative of -16*z + 37*z + m*z**2 - 10*z wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 25*y - 21*y - 20, -25 = -5*y - 3*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3033114 (base 5) to base 15.\nAnswer: e874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 1177*l - 2365. Determine z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4 + 8*o**2 + o**3 + 3 - 2 + 0*o**2 + 6*o. Let z be b(-7). Factor -z*t - 3*t + 4*t - 12*t**2 - 5*t + 4*t**4.\nAnswer: 4*t*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5506 - 5503. Put 2, k, 954 in increasing order.\nAnswer: 2, k, 954","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.707 + 0.593. Let y = 37.8 - g. What is the nearest to -2\/7 in y, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 186\/7?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(56\/34)*(-90)\/6*54\/135.\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -550, -838, -1142, -1468, -1822?\nAnswer: -2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 + 7*d - 2. Let r be y(7). Let p be ((-5)\/30)\/(r\/(-6)). What is the nearest to 0 in 1\/5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + l + 4. Let n(r) = 10*r**2 - 3*r - 13. What is 7*f(p) + 2*n(p)?\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83582325439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as -2500290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -568 - -567.6. Let z be (64 - 4) + 1 + -1. Let a = 45 - z. What is the nearest to a in y, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2354*u - 5*y + 40 = -2358*u, 9*u + 17 = 5*y - 20 - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -14*s - 2. Let n(i) = -6*i. Let k(o) = 5*o. Let z(d) = 5*k(d) + 4*n(d). Let c(j) = v(j) + 12*z(j). Let g be c(-1). Solve g = 2*l - 11 + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2438b - -25?\nAnswer: -24366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 100 + 1314*y**3 - 1354*y**3 + 48.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(-9*(-4)\/60)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (281 - (25 - -51)) + -105?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 930, 1104, 1306, 1548, 1842, 2200?\nAnswer: 2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 11. Let n = -5 + m. Suppose 3*w = -n*u - 9, 2*w = 4*w + 4*u + 6. Let h(r) = -r - 3. Give h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/30 - 6*l**2 - 4. Let a(k) = -47*k**2. Determine a(x(z)).\nAnswer: -188*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29061\/1418 + -4\/709. Let m = -20 - a. Is m smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/27 and 53\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 110.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23\/7 of a week?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 9 = 2*a + k, k = -3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 34 - 49 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or 27?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -18, 58, 166, 306, 478, 682?\n\"Answer: 16*k**2 - 4*k - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 3 (c) -0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1701, 1735, 1797, 1893, 2029, 2211, 2445?\n\"Answer: h**3 + 8*h**2 + 3*h + 1689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 7:18 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8 - 5)\/((-27)\/(-122913))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 7, q: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10)*194 + 4. Let p = w + -98. Suppose 2*t + 3*j - 653 = 0, -6*t + p*t + 5*j = -932. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) 0 (c) 0.2 (d) 0.8 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 5*g - 4. Let y(w) be the third derivative of -w**5\/20 - 11*w**4\/24 + 3*w**3\/2 + 60*w**2. Give -9*k(r) - 4*y(r).\nAnswer: -6*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiiwwwwiwiwww. What is prob of sequence wiiw?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {m: 8, f: 7, h: 4, z: 1}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -530 (b) -4 (c) 0 (d) 5 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 134 - 26*g**3 + g - 132 to l*g**3 + h*g**2 + w*g + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(57\/(-6) - 1). Which is the closest to 0.2? (a) -3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-5)\/(10\/(-4)). Let l = 0 - g. Calculate the remainder when (-15)\/(-10) + 86\/4 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*r - 2*r. Suppose 0 = -4*z + 2*z + 40. Calculate the remainder when z is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from {w: 1, i: 1, g: 3, d: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/4 + (-2 + -2)\/(-4). Suppose -3*y = -y - 148. What is the remainder when y is divided by (-198)\/a - (4 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.8 + 11.784. Let u = -0.016 - s. Which is the biggest value? (a) u (b) 8 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.3 + 0.3. Let p = o + 16. What is the closest to p in -0.2, 0.03, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from {v: 2, x: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1182756 and -19\/1092.\nAnswer: 107630796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.981 + 0.019. Let h be (4\/(-72))\/(0 + 1\/(-8)). What is the second biggest value in h, -5\/2, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*0\/(-5)*(-9)\/18. Suppose 0*h - 4*h + 64 = u. Which is greater: h or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -22. Let x = f + -6. Is x at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 4*g**2 + 1. Let m = 3193 + -3195. Give f(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**3 - 14808 - 2565 + 1913.\nAnswer: -21*l**3 - 15460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3303 + -3302.945. Sort 1\/5, 3\/4, k in decreasing order.\nAnswer: 3\/4, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4224.6 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 29*r - 167. Let a be o(6). Is 117904\/a - (-201)\/(-469) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127.077 - 127. Let g = -24.923 - y. Let f = g - -24. Sort f, 0.3, 0.7 in ascending order.\nAnswer: f, 0.3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (2 - 5\/4). Which is the second biggest value? (a) -4 (b) -11 (c) s (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 11*h**2 + 13*h - 7. Let t be n(9). Let i = t + 76. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/3 - 5*r**3\/6 - 5*r**2\/2 + 2*r. Let x(f) = 4*f**2 + 6*f + 6. Let s = 63 - 58. Let l(w) = s*x(w) + 6*j(w). Factor l(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 1, -5, 1\/5 in increasing order.\nAnswer: -5, -0.16, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 867\/26026?\nAnswer: 867\/26026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 2*u - 3. What is the lowest common multiple of 4 and m(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/236 and 49\/10.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-30))\/((-1519)\/126 - -12)*5. Solve 2*l = -10*l - v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 38*x**3 - 7*x. Let p(y) = 36*y**3 - 8*y. Calculate -6*p(d) + 5*r(d).\nAnswer: -26*d**3 + 13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555820994 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 22 = -4. Let g = 22 - n. Factor -32*f**2 + 16 + 13*f**g - 48*f + 13*f**4 - 19*f**4 + 12*f**3.\nAnswer: (f - 2)*(f + 2)**2*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1889822 is divided by 377964.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 + -590. Suppose 20192 = t*d + 9*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0.1, -1, -12.\nAnswer: -12, -1, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 10*h + h)*(83 + 132 + 35 - 69).\nAnswer: -1086*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(2*g + 6*g + 2*g)*(-2 + 5 - 1).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1*4\/18)\/(18\/(-54))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1175.9 - 1176. What is the nearest to w in -64, -2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = 3*p - 2*h, h = 2*p - 0*h + 279. Let l = 339 + p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - ((2 + -14 - -11) + 0 + 5 + 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0776019229 + 0.22.\nAnswer: 0.1423980771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/303, -52, 0.12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + -21 + 11 + -3 - 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6 + 8 + 3 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284282 is divided by 1134?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24020654 or 24020652?\nAnswer: 24020652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akeevaeegegevla. Give prob of sequence aeg.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**2*u - 15114797*s**2 - 586*s*u + 2*s - 40756*u wrt s?\nAnswer: 18*u - 30229594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e8621 - -2?\nAnswer: 2e8623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-2)\/((sqrt(36)*1)\/sqrt(12)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k + 4. Let v be q(0). Suppose v*s + r - 10 = 6, 0 = -5*s - 5*r + 35. Suppose 0 = -s*t + 8*t - 610. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/(-18)*186747\/55?\nAnswer: 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 222*m + 12 = 0, -29*m + 24 = 2*r - 6*r - 33*m for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*p = -4215 + 7511 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 60, 0 in increasing order.\nAnswer: -6, 0, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.011 + 4.081. Sort h, -0.1, 162.\nAnswer: -0.1, h, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14395, 14396, 14397, 14398?\n\"Answer: r + 14394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33887, -67615, -101159, -134501, -167623, -200507, -233135?\n\"Answer: 3*x**3 + 74*x**2 - 33971*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5497 in -2\/5, 1\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28164333 + 6?\nAnswer: 5.71835667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 + -190 - (16 - 107)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/662 and 63\/16?\nAnswer: 5296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3429*v + 1515*v + 52*v.\nAnswer: 4996*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -214906, -214907, -214908, -214909, -214910, -214911?\n\"Answer: -o - 214905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62189 + -41964. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - 248 + 120 - f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*z - 53*z + 270 - 57*z.\nAnswer: 4*z + 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1658151 and 63?\nAnswer: 11607057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnzmm. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12212 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3076276 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 48, 77, 128, 207?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 125*h**3 + 129*h**3 + 8)*(-h + 3*h + h).\nAnswer: 762*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 2, v: 2, d: 10, o: 5}. What is prob of picking 2 b and 1 d?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(11\/(-66))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(60)\/sqrt(6)) - sqrt(352)\/sqrt(8))**2 + 3*(-1*sqrt(1584) + 2)**2.\nAnswer: -144*sqrt(11) + 4775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220112200 + 22110?\nAnswer: -1220020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14774, -29549, -44324, -59099, -73874, -88649?\n\"Answer: -14775*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*d - 2*o - o + 3*o + 4 + 6, 3*o = 179*d - 358 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 204 = -1630. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-30))\/(2\/(-15)). Suppose -3*p + 4*h = -13, 209*h - 2 = 211*h. Solve 3*t = i*t + p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9094738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.27 - -46.27. Which is the nearest to 87? (a) 2\/3 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 22.61256?\nAnswer: 22.61256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3371984 by 391.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2979 - 105*p**2 + 15*p**2 + 3139 - 5926 + 3*p**3 - 102*p - 3*p**2.\nAnswer: 3*(p - 32)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 0.17314 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56787884.\nAnswer: 2, 19, 349, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, -0.4, -11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, r: 6, c: 7}. What is prob of picking 1 w and 3 r?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23. Solve 3*y = -z - 9, j = 2*y - z - 2*z + 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/d*d**(-8\/7)\/d*d)**(-43))**(-3) assuming d is positive.\nAnswer: d**(2580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3045118 is divided by 735.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -4373?\nAnswer: -4373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/(-7) + (-24 - -31)*-1. Which is the closest to r? (a) -5 (b) 3\/2 (c) 0.06 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9657 = -143*j + 134*j. Let k = j + -5363\/5. Factor -k + 4\/5*r - 2\/5*r**2.\nAnswer: -2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 + 21)*2\/(-30). What is the fourth smallest value in t, -1, -0.1, -23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 5. Suppose 3*a = 0, 8 = -2*i - 0*a - 2*a. Let k be o(i). Solve u = -5*g + 3, -2*g + g - k = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*v - 1 + 15 = 0, -3*z + 4*v + 3 = 0. Solve 0 = -2*k - z*f - 20, -6*k + 4*f = -4*k - 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*r - 3 - 0, 0 = -2*t + 4*r + 22. Let z = t + -3. Factor -b**4 + 2*b**3 - 2*b + 1 - b**3 + b**3 + 0*b**z.\nAnswer: -(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 19*a**2 + 18*a - 4. Give l(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2394 + 4325. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -3\/5*y**5 - 2*y - 4 + 0*y**2 + 0*y**4 + 0*y**3. Differentiate q(a) wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**3 + 2580*o**2 + 23*o - 11863. Determine w(516).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302764199 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 6*y**2 - 9*y + 2. Let l(w) = -w**2 - 8*w + 2. Let h be l(-9). Let n be s(h). Is -3 - n*27\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430586, -861097, -1291490, -1721771, -2151946?\nAnswer: -2582021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*o - 1297*o - 2*o**3 - 20*o**2.\nAnswer: -2*o**3 - 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175134 and 85042?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 254*r**2 - 1008*r - 2928. Give s(-123).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 + 8*s + 21. What are the prime factors of r(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/12 + (-3 - 1). Let b = 0.02 + 0.06. What is the smallest value in r, -0.4, b, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-2 + 72)\/5. Let a = f + 20. Suppose -a*k = -577 - 88. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-96)\/(-10) - 2\/(-5). Suppose o*i = 5*i + 10. Is (2\/4)\/(i\/268) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24468375 and 528425?\nAnswer: 562772625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 3, k: 1, b: 1}. Give prob of picking 1 b, 1 t, and 1 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/37637 and -119\/258640.\nAnswer: 159580880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*k = 184*k - 3*j + 39, 0 = 8*k + 2*j + 42 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let p(h) = 3*h**2 - 87*h + 3 - h**2 + 83*h. Let y be p(l). Let t(o) = -o**3 + 3*o**2 - 1. Give t(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 16*n - 21. Let u be f(-15). Let o be ((-21)\/u)\/((-1)\/(-603)). Let v = o + -2070. Calculate the common denominator of -73\/14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4352)\/(-10455) + (-188)\/40*2 + 9?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 6*y**2 + 7*y + 4. Suppose 3*s - 21 = 5*d, 4*s - 3*d - 31 + 3 = 0. Let a be w(s). Let v(i) = 4*i - 5. Determine v(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16481 divided by -3166?\nAnswer: -16481\/3166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1210011 (base 3) to base 15\nAnswer: -5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36 and 6826.6.\nAnswer: 6862.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ittttittttiitt.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - -129. Suppose -4 = -4*y + 4*s, -y = 2*s + 2*s + 4. Suppose -5 = -5*q - y*q. Which is the nearest to -2? (a) q (b) j (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22885848, -22885854, -22885862, -22885872, -22885884, -22885898?\nAnswer: -22885914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than 0.022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.40247 days to milliseconds.\nAnswer: 4873173408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196.4336*-18.6.\nAnswer: -3653.66496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.2 - 43. Let s = m - 16.2. Let t = -51 - -48. Which is bigger: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26280 and 49896?\nAnswer: 18212040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 y when four letters picked without replacement from bbbybbbbbbbybbyybb.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) + -1 + sqrt(2) - sqrt(2)) + (sqrt(128) + 3*sqrt(128) + sqrt(128))**2 + 3.\nAnswer: sqrt(2) + 3206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8328 and 89\/48.\nAnswer: 16656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (3 + (9 - -4))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 10:53 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 141647, 140476, 138525, 135794, 132283, 127992?\n\"Answer: -390*c**2 - c + 142038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543668042?\nAnswer: 2, 1973, 137777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 5184*h - 1679616.\nAnswer: -4*(h + 648)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/5, 10235, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/6*0\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2507 - -2507 - (-33 + 0 - (-13 - -6 - -6))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k + 1. Let u(g) = -13*g**2 - 6. Let y(s) = -27*s**2 - s - 12. Let j(x) = -13*u(x) + 6*y(x). What is j(v) - 6*w(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18.50147 decades?\nAnswer: 2220.1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538 - 1055 + 6*k + 528.\nAnswer: 6*k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**19*h**0 assuming h is positive.\nAnswer: h**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -77, -63, -31, 25, 111, 233?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4362562.02 and 0.0641.\nAnswer: 4362562.0841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 2*p**2 + 5*p - 148. Let z be m(0). What are the prime factors of z\/(((-7)\/28)\/1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*w - 4 = 0, -w = 4*l + 50 - 34 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 3 + 0)*(2 + 2 - 3 + 2*s) in the form l + i*s and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**4 + 0*j**3 - 35\/2*j**2 + 4*j - 23 - 17\/20*j**5. Let f(u) be the first derivative of q(u). Differentiate f(y) wrt y.\nAnswer: -51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912305590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2795*x - 507520 = -8895*x - 2220*x for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7, -1, 4714?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 5*n**2 + 2*n - 4. Let x be j(-4). Solve -x*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -205276292.\nAnswer: 20527629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010001 - 1?\nAnswer: 1110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8322054273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltbljbl. Give prob of picking 3 l and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14*2*15\/12. What are the prime factors of 15\/(-2)*84\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0 + -1 + 1. Suppose -5*z + 22 = 3*w, -5*w - g*z - z + 28 = 0. Suppose 3*a + 5*c = 58, w*a + 3*c + 0*c - 59 = 0. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10509*j**3 - 3*j**2 - j + 1. Let i(w) = -w**2. Let f(q) = 2*i(q) - r(q). Let k be f(-2). Let l = 49071 + k. Round l to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 130*z**3 + 157*z**2 wrt z.\nAnswer: 60*z**2 - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 26\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -24*i + 195. Is (-28)\/(-182) + 376071\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 14) to base 6.\nAnswer: -1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(539) + (sqrt(539) + 3 - sqrt(539))**2 - ((sqrt(891) + 3*sqrt(891))**2 + sqrt(11)).\nAnswer: -14247 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17*-14\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -37 + 13. Suppose -5*t + 11 = 4*m + 4, -2*m + 5 = t. Calculate the remainder when w is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 201798 + 3*n**4 - 201798 - 187*n**3 + 10*n**3.\nAnswer: 3*n**3*(n - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*d**4 + 1\/2*d**3 + 0*d + 0 - d**2.\nAnswer: d**2*(d - 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(2\/(-11) + 258512\/66). Round f to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/559? (a) -189 (b) 1.5 (c) -0.3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55329217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 5*d + 13. Let h be y(6). Suppose 7*r - 14 = h. Let u = -5 - 1. What is the nearest to u in -3, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 5:30 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 479570760 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15530.9493 + -15531. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -979, -2224, -3987, -6280, -9115, -12504, -16459?\nAnswer: -20992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*j - 36, -5*j + 7*g = 3*g - 20. Let h(i) = -i + 9. Let z be h(j). Which is the closest to z? (a) -1 (b) -2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 + 1068 = 14*f. What is the tens digit of (-2 - f\/(-3))*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 - 28*h + 5. Give x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1168 * 0.2\nAnswer: 233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392009465 to the nearest integer?\nAnswer: 19799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 6, -4*u = -4*m + 4. Differentiate -c**4 - c**4 + 5 + 5*c**4 - 2*c**m wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/8 in 79, -104, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131312 - 100?\nAnswer: 1131212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/54*(-12)\/8)\/(316\/(1778448\/603))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1773 = c + 8*c. Let a = c + 243. What is the remainder when a is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -w + 3*h, -1 - 23 = -2*w + 5*h. Let b be -2*(-2)\/4 + w. Solve -5*p = -n - 14, -n + 0*p - b*p = -10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 323139 and 15?\nAnswer: 1615695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19047)\/(-54420))\/(((-2)\/(-12))\/(4\/(-6))).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 - 31 - 38 = 3*a - 2*s, -16 = 4*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/(sqrt(24)\/sqrt(2)))\/(sqrt(48) - sqrt(432)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-11 - -16) + 5 + -34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.1. Let w = -0.08 - 0.14. Let m = w + -1.78. Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwcw when four letters picked without replacement from {w: 17, c: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4726.047 kilometers in nanometers?\nAnswer: 4726047000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1298)\/708*(1392\/(-231) + 6)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 18*t**2 + 3*t - 5. Suppose 28*l - 1 = 27*l. Calculate the remainder when 202 is divided by a(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971343 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 eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*o + 2*o + 9*o**4 - 1314 + 1253 + 2*o - 3*o**4 wrt o?\nAnswer: 24*o**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40989 divided by -209.\nAnswer: 40989\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4679157479.\nAnswer: 1061, 4410139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 452222*y.\nAnswer: 2*y*(y + 226111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61478719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2*w**3 - 13*q**2*w - 255*q**2 - 6123*w**3 wrt q?\nAnswer: -2*q*w**3 - 26*q*w - 510*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pevpvuq. What is prob of sequence qu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -15)*(-3)\/(-9). Let b(h) = -h - 1 + 3*h + 0. Let z(m) be the second derivative of -m**3\/6 + m**2\/2 + m. Give u*z(w) + 4*b(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**3 + 4*g**2 - g - 6. Let a be k(2). Find the common denominator of 41\/20 and 31\/(-7) - 42\/a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 - 4*v**4 - 2*v**4 + (v**2 - 3*v**4 - v**2)*(-1 - 3 + 3).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 12*j + 15. Let l be b(-13). Solve 3*q + 4*x + 1 = -5, -q - 4*x = l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 24 = -3*l. Let u = -25 + l. Solve 0 = u*m + 5*f + 18, 5*m + 5*f + 3 + 17 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 3, 49 in descending order.\nAnswer: 49, 3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*w - 31, 0 = 4*i + w - 15 - 14. Suppose -16 = -2*n + i. Suppose -59 - 13 = -4*x. What is the highest common divisor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, 3, -2\/7, 9, -4, 0.14, 44?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 + 0 - (3 - 21\/(-6))).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 24 = -f. Does 9 divide (16\/f)\/((-2)\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 2. Let g(j) = j + 37. Let m(f) = -g(f) - 3*k(f). Let t be m(-14). Solve -t = 4*r - 5*a, a = 2*r - 3*r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5919, -4082, -2245?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -2747*z**6\/120 + 7145*z**4\/24 + 2918*z**2 - 2*z. What is the second derivative of t(w) wrt w?\nAnswer: -16482*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -538.999888 + 539. Round d to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or -242803?\nAnswer: -242803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6581680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 0 (b) 4 (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3 = 3*a, 19 = -8*g + 13*g - 3*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11394.41646 to zero dps.\nAnswer: -11394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1630.1809 to the nearest 10.\nAnswer: -1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946 + 11*o**3 + 16*o**3 - 26*o**3 - 946.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-42)\/(-2))\/(-3 + 8))\/(21\/(-14)). Which is the closest to 1? (a) y (b) 0 (c) -3\/4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 12:24 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -45161 (base 7) to base 3\nAnswer: -120122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 + m. Let u(l) = -l**3 + 5*l**2 + 12*l + 15. Let v be u(7). Let c be f(v). Let w be (-12)\/(-8) + (-21)\/c. Do w and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000225940028 rounded to six decimal places?\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4121 - 1.0139. Let p = -0.074 + b. Let c = p - -8.24. Is -0.2 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77, 162, 249, 338, 429?\n\"Answer: x**2 + 82*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 - 4*g + 3. Let n be o(4). Let k(i) = 3*i**2 - 3*i + 3. Let z be k(3). Is ((-49)\/z)\/((-1)\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 4. Let f be (-15)\/20*40\/v. Put f, -0.3, -4 in decreasing order.\nAnswer: f, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 1\/3, 5, 1\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/17, 1, -7011, -2, -1\/4, -5 in descending order.\nAnswer: 1, -3\/17, -1\/4, -2, -5, -7011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-286))\/((-20335)\/637 - -32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5 - 3 + 2*a + 0. What is the remainder when 32 is divided by r(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i + 12*i + (4 - 5 + 2)*(2 - 2 + 2*i) + 5*i - i - 2*i)*(5*i**2 - 7*i**2 + 6*i**2)*(5*i**2 + 3*i**2 - 6*i**2).\nAnswer: 128*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53989 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0 + 26*f + 2*f**2 + 6 - 1. Let c be u(-13). What is the third derivative of 7*n**2 + 6*n**c + 16*n**6 - 9*n**5 + 3*n**5 wrt n?\nAnswer: 1920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 - j**3\/6 + 2*j**2 + j. Let c(x) = -2*x**2 + 4*x**2 - 14 - 132*x + 105*x. Let u be c(14). Determine f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 divided by 659?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280212.\nAnswer: 2, 3, 19, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.443 - -4292\nAnswer: 4292.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*n = 48, 2*k + 0*n = -n + 36. Let s be 8\/k + (-196)\/(-10). Calculate the greatest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from {h: 3, m: 1, k: 3, s: 1, t: 2, f: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -80*s + 2. Let u(w) = -400*w + 20. Calculate 16*a(p) - 3*u(p).\nAnswer: -80*p - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 72. Suppose -4*i = -i - c. Suppose i*h - 10*h = 20. What is the highest common factor of h and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -49, 4, -25, -2 in descending order.\nAnswer: 4, -1, -2, -16, -25, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -419 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3)\/(-2 - -4 - 1). Which is the nearest to -2\/3? (a) 1 (b) q (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0 + 1\/20*a**5 - 2*a**2 + 0*a + 0*a**3 + 0*a**4 + 0*a**6 + 1\/70*a**7. Find the third derivative of i(w) wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 6*n - 10*n + 9672834*n**3.\nAnswer: 9672834*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8048058 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33211578.8 rounded to the nearest one thousand?\nAnswer: -33212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**5 + 2*o**3 - 2*o**3 + (3*o + 3*o - 4*o)*(-2*o**4 + 2*o**4 - 2*o**4) + 24*o**5 + 14*o**5 - 16*o**5.\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 4:05 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l - 2*l + 5*l)*(87 - 159 + 103).\nAnswer: 465*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 3*u**2\/2 - 5*u - 193. Calculate t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-26414.1398.\nAnswer: 79242.4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5535 divided by -135?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 553 = -4*g, 532 = t + 2*g - 5*g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose 2*z - 4*d - 30 = -0*z, 5*d = -q*z - 5. What is the third derivative of -23*l - 3*l**2 + 23*l + l**z wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 230055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157.8 + -156. What is the fourth biggest value in 3, z, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-12) + (-197)\/(-4). Let p = q + -26. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 15212 = -m. Let g = m + -212869\/14. Let y = g + -17\/42. Calculate the common denominator of y and -103\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1186 and 8.\nAnswer: 4744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -1\/10, 8, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - ((-1 - -2) + 0)) + (-213 - 227) + 445.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0*q**2 + 0*q**5 + 1\/3*q**4 + 0*q**7 + 0*q**6 + 8*q + 0 + 0*q**3 - 1\/56*q**8. Find the third derivative of k(d) wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-11\/2)*((h\/(h*h**1))\/h)\/(h**0\/h*h))**(-5\/14) assuming h is positive.\nAnswer: h**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - a + a)*(-4*a**2 + 3*a**2 + 3*a**2) + (1 - 1 + a)*(-3*a + a**2 + 3*a) to the form z*a**3 + o*a + m + t*a**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x - 112 = -224*x - 802. Let r(l) = 4*l**3 + 7*l**2 - 8*l - 6. Let c(u) = 7*u**3 + 13*u**2 - 15*u - 12. Let j(n) = -3*c(n) + 5*r(n). Give j(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13388394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {i: 2, c: 1, g: 2, u: 1, w: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5088946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3721 or -3719?\nAnswer: -3721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + 3c6?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100878 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-3) + (-4)\/6. Let y(n) = n**2 - 6*n - 3. Let w be y(p). Calculate the greatest common divisor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43896 and 630757.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2537654cm in meters?\nAnswer: 0.002537654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - x**2 - 28*x**4 - 20 - 13 + 2*x**3 - 2*x to the form l + h*x**2 + f*x + j*x**4 + q*x**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1877, -7516, -16915, -30074, -46993, -67672, -92111?\n\"Answer: -1880*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225649131?\nAnswer: 3, 75216377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13356 and 1325212?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1298, -7766, -18546, -33638, -53042, -76758?\nAnswer: -104786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -81*h + 1535. Let y be d(19). Let s = 0.37 + -0.07. Sort s, 11, y, 3 in ascending order.\nAnswer: y, s, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -55. Let h = 52 + u. Is (9748\/(-12))\/(h\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10986*z**2 - 13*z + 55992 wrt z?\nAnswer: -21972*z - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20686703 is divided by 6895565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let y(f) be the first derivative of 2*f**2 + 18. Determine y(v(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 298. Let t = o - -97.5. Which is the third smallest value? (a) 4\/7 (b) 12 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Suppose m - 2 = n. Suppose 11 = -n*t + 33. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1132, -3147, -5932, -9019, -11940, -14227, -15412?\n\"Answer: 78*u**3 - 853*u**2 - 2*u - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4 + d**3*z + 354293*d**2 + 2406721*d*z - z wrt d.\nAnswer: -24*d**2 + 6*d*z + 708586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*x + 68 = -0*q, -5*x = 3*q - 56. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 78 = -4*d, j + 5*d - d - 9 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 114 = -30*p - 9*p. Solve 0 = p*o + 4*s - 15, 3*o - s - 12 = 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -z + 5, -4*z + 0*z = k - 13. Suppose 0 = d - 2*p - 36, -d - z*p = p - 30. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24332149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {q: 1, f: 1, t: 1, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/4*(672\/2844)\/14.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2883*p*r + 9576*p wrt r.\nAnswer: 2883*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/29540 - -1036249\/23129820. Calculate the common denominator of l and 53\/54.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052599 times -0.08?\nAnswer: -0.00420792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -21*i + 28*i. Let w = -7 - -1. Let p = w + 10. Solve 0 = -p*v + 3*v - i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. What is the second derivative of 4*k - 4*k**5 - 3*k + k**5 + r*k**5 wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37790384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 4*o**2 - 2*o. Let y be r(2). Let b = -1 + y. Suppose b*p = p. Is p > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*-1*(-96)\/336. What is the smallest common multiple of 33 and m\/(-12) + (-9503)\/(-102)?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n**2 - 160*n + 160*n + n**2 - 4*n**2 + 2*n**2 + (-n**2 - 1 + 1)*(-1 + 2 + 0))*(-1 + n**2 + 1) + 4*n - 4*n - n**4.\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26.9345 and -0.5?\nAnswer: 26.4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-8))\/5 - 938\/536)*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 29*c - 2646 = 0. Let q be (0 - -4 - c\/(-21))*-6. Solve -3*o - q + 19 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + sqrt(245)*2 + -3 + 5 - (sqrt(245) + sqrt(245) + 0 + sqrt(245) + 1 - (0 + 1 + sqrt(245))).\nAnswer: 2 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -4, -773, -3, 0.1 in descending order.\nAnswer: 0.1, -1, -3, -4, -5, -773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 5 + 3*b - b + 6. Let v(p) = 2*p**2 + 2*p - 6. Let k be (-6)\/(-12) + 18\/(-4). Calculate k*q(s) - v(s).\nAnswer: -2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.173 - 3.827. Let k = 1916.8 + -1917. Which is the nearest to k? (a) s (b) 0.2 (c) 0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -447 - -435. Are 8 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 7. Suppose -4*n = i - 2 - 10, 0 = f*i. Suppose 27 = n*a - 18. Solve g = -4*g + a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*3\/18 + 31\/(1178\/(-665)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1513 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:07 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 1, k: 2, n: 2, v: 1}. Give prob of sequence mknm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2503010 * -0.47.\nAnswer: 1176414.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 - -0.29. What is the nearest to 1 in 9, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -3*n, -6 = -n - 2*t - 15. Let j be (n\/(-3))\/(2 - 1). Let u = 6.09 + -3.09. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*l**4 + 198*l**3 - l**2 + l - 334713 with respect to l.\nAnswer: 140*l**3 + 594*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and -6\/85536917.\nAnswer: 513221502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -509 - -510. Is 21\/34 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -43 + 17 - -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from {e: 4, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63500873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-3))\/((-1270)\/(-3810))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3097952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, 146, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let w(x) = -28 + 28 - 24*x**2. Calculate d(w(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t + 3*t - 2*t to the form f + w*t and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2073883, 2074009, 2074211, 2074483, 2074819?\n\"Answer: -m**3 + 44*m**2 + m + 2073839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 2\/53, 4.74, 29\/4?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.9 (b) 1 (c) 0.0544 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 10*w**2 - 7*w - 13. Let t be f(9). Suppose t*c - 1406 = i + 2*i, 2*i = -2*c + 556. What is c rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 411, 556, 719, 900?\n\"Answer: 9*t**2 + 118*t + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 3*d + 17 - 61 = 0. Let a = -7 - -11. Suppose a*y + 1 = 17. Solve -y*t = -3*n + 6 - d, 0 = 5*t + 2*n + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 42. Suppose -y = -5*y - l + f, 3*y - 6 = -5*l. Suppose -y = -0*o - o + 3*k, 3*o - 49 = -5*k. What is the remainder when 23 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 141, 423, 873, 1497, 2301, 3291, 4473, 5853?\n\"Answer: q**3 + 78*q**2 + 41*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29001238.\nAnswer: 2, 7, 139, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.49 times 4\nAnswer: -13.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796567 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: Let h(z) = z**3 - 163*z**2 + 651*z - 2469. What is h(159)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 393\/5. Suppose -9*d - 8 - 1 = 0. Which is the third biggest value? (a) r (b) d (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2661457?\nAnswer: 2661457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*q + 5, -8*q - 2*k = -3*q + 33. Sort -1, -16, q.\nAnswer: -16, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69520 divided by -11\nAnswer: -6320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0 - 6. Suppose -b - 1 = 3. Let g = b - -7. Solve 7 = a + g*a + 3*s, a - 13 = -x*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b - 1. Let h(c) = -c**2 - c - 7. Let y(l) = -h(l) - 2*v(l). Let d be (1 - 0)\/(4\/28). Is y(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 157*k - 103*k + 65 - 173. Let c(x) be the first derivative of 80*x + 5\/3*x**3 - 26 - 20*x**k. Factor c(w).\nAnswer: 5*(w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 26*q**2 + 201*q - 333. Let i be l(32). Which is the nearest to -7? (a) i (b) 2\/5 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/164 and 3082\/(-9324) + 23\/(-138)*16\/(-6)?\nAnswer: 42476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13a45 (base 11) to base 13\nAnswer: 9093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -73. Let a = c - -17. Solve 3*n + 1 = a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278334864 divided by 93\nAnswer: -2992848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlw when three letters picked without replacement from lwzzwawkwsllw?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25789?\nAnswer: 17, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(270\/36))\/((-2)\/(-9)). Let q(x) be the first derivative of 0*x + 0*x**2 - 10\/3*x**m + 1\/2*x**4 - 7. What is the third derivative of q(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48746361.57 rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 46 = -53 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/4*12\/39. Let w = -1133.24 - -1132.94. Sort 1, g, w in increasing order.\nAnswer: g, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4037*k**2 + 613 + 3573*k**2 - 113 - 2*k wrt k.\nAnswer: -928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 6*v**4\/19 + 26*v**3\/19 - 56*v**2\/19 + 24*v\/19 = 0.\nAnswer: -6, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19773855 by -8.\nAnswer: -19773855\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2 - 13*g**2 + 21*g - 7*g - 7*g**2 wrt g?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 6 = 26*h. Suppose h*g - c - 4907 = -0*c, -4*g = 5*c - 9849. Suppose g + 3829 = 5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b58 (base 14) to base 16.\nAnswer: -8ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, -2, -6026 in increasing order.\nAnswer: -6026, -2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20380 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -229*f**7\/14 + f**6\/30 - f**4\/12 - f**2\/2 + 1252*f. Find the third derivative of s(l) wrt l.\nAnswer: -41220*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/27 + 118*w**3\/27 - 40*w**2\/3 - 208*w + 1. Factor z(m).\nAnswer: 4*(m - 1)*(m + 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 382 + 1242. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/5)*y)**(1\/33)\/(y*y**(-22)*y**(7\/6)) assuming y is positive.\nAnswer: y**(6563\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -230, -229, -228, -227, -226?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j - 37*j + 121*j - 296. Put 0, 8, -5, j in descending order.\nAnswer: 8, j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3 - a**2 - a**3 + a**3 - 2*a**2 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s - 77. Let o be r(5). Suppose -1423 = -3*f + o*d + 770, -729 = -f - d. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*u - 4*u - 14, 0 = -2*l - 5*u - 31. Let s = 0 - l. Suppose 3*i = s + 21. Solve -4 = -4*g + 4*h, -5*g - h = -15 - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 1 - 33 - 8*c**2 to the form f + u*c + o*c**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16144, -18176, -20208, -22240, -24272?\nAnswer: -26304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 4*i**2 + 4*i + 3. Let q be s(3). Which is greater: -6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + -11?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v - 28. Let j be h(-5). Is j less than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 268, 403, 538, 673, 808?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:55 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 15*c - 23. Let p be l(16). Let u = -4 - p. Suppose 0 = 5*h - 5, -2*h - 25 = -5*m + u*h. Sort -3, m, -5, 0 in increasing order.\nAnswer: -5, -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8*-6*-2. Let j be (1*2)\/(1 + s). Let o(h) be the third derivative of h**6\/15 + h**5\/30 + h**4\/24 - h**2 - 41*h. What is o(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqrrmq. What is prob of picking 2 q and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, -0.2, 0.1, 3\/7 in increasing order.\nAnswer: -0.22, -0.2, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5655196*j + 620 = 5655176*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040459583 rounded to seven decimal places?\nAnswer: 0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 161 = -5*s, 23 = s - 3*k + 2. Differentiate -145 - 144 - s*g + 99 + 47*g - 3*g**2 with respect to g.\nAnswer: -6*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - r + 1. Suppose d - 12 = -3*d. Suppose -3*a - 5*j = -37, d*a - 4*j - j - 77 = 0. Calculate the remainder when o(-4) is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -532, 8289, -3 in increasing order.\nAnswer: -532, -3, 8289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/90, -2, 2\/9, 2 in decreasing order.\nAnswer: 2, 2\/9, 1\/90, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -38?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 3\/182 (b) 3 (c) 5 (d) -0.5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 16*b**3 + 13*b**4 + 18*b**4 - 12*b**2 + 8*b**4 - 2*b**5 - 27*b**4 = 0. Calculate b.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19, 0.5, 4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2 + 6382*i + 44695. Determine w(-7).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 943 + -1726. What is the common denominator of (-4 + 242\/60)\/(129\/p) and -5\/14?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288067081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/75296 and -67\/182448.\nAnswer: 4743648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Let h be (-8)\/(-4) - 2\/d. Suppose -4*t = -5*p + 4*p - 2, -3*p = -h*t + 6. Are 2\/5 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 1 = 19. Suppose -6 = -2*m, 0*i + 4*m = 4*i. What is the second derivative of 2*c**i + c**u - c**2 + 0*c**2 - 2*c wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51207476 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 7*u - 6. Let d = -8 - -10. Suppose -2*s - d*s = 0. Suppose 5*c + 5*p + 50 = s, -4*c - p - 25 = -0*c. Determine y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x**(1\/7)*x)\/x*x)\/x*x\/x**(1\/15)*(x**(-2))**(-2\/69))**34 assuming x is positive.\nAnswer: x**(85782\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/(-12))\/((-8)\/12). Suppose -5*c = -3*u + 143 + 117, -o*c + 300 = 4*u. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 2*g + 9, 12 = 3*g - 4*l. Suppose -23*h + 42*h - 26*h = g. Solve 3*t - 15 = -3*i, i + i - 4 = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.27 + 0.26. What is the nearest to -1 in k, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 51 - 8*g**3 + 97.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308*120\/(-880)*(-8)\/(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001110100 (base 2) in base 16?\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*f + 3 + 397 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11611780 to the power of 1\/2, to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**4\/2 - 8286*u. Let d(y) = 1865*y - 2. Give j(d(v)).\nAnswer: -20869350*v**2 + 44760*v - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*o - 56 = o, -84 = -3*m + 3*o. Suppose 19*z + 9*z = 6384. Calculate the least common multiple of m and z.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c - 82110 = -111*c. List the prime factors of c.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4527989 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -1\/5 (c) -6 (d) 125\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 3. Let h(k) = -37*k**2 + k + 110. Calculate -h(s) - 6*l(s).\nAnswer: 7*s**2 - s - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15311.6957 rounded to zero decimal places?\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 = -190. Let z = m + -31. Solve 0 = z*d - d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -476 - -476. Suppose g = 10*z + 137 - 87. Let p(h) = 5*h - 3. Let k(m) = m - 1. Let n(i) = -4*k(i) + p(i). What is n(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 294 = 72. Suppose -4*a - 100 = -4*t, 0 = -4*a + a - 23 + 5. Calculate the remainder when n is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*q = 2*q - 20, 20 = 5*q. Solve -x - 2 = -v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3114\/(-315) + 10)\/(2\/(-1)*1).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -7)*12\/(-14). Let k be -3*(0 + o\/9). Find the third derivative of -m**2 + 0*m**3 + k*m**3 - 3*m**3 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*d + 4*d**2 - 3*d**2 - 2*d**2 + 2*d**2 - 45*d.\nAnswer: d**2 - 168*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6478954.\nAnswer: 2, 479, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*g**5 + 10*g**4 - 27*g**3 - 48*g**2 - 52*g wrt g?\nAnswer: -3660*g**2 + 240*g - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 (base 11) in base 12?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 105*l**2 - 106*l**2 - 3508 + 3507. Let h(t) = 2*t**2 - 4*t. Determine -h(z) - q(z).\nAnswer: -z**2 + 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11)*(g\/(g**(-6)\/g))\/g)\/(g**(-1)*g)**(-2\/97))\/((g*g\/(g*g*g**(-1)))**(-2\/155))**(-1\/4) assuming g is positive.\nAnswer: g**(24479\/3410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.1586, -2497, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 34043?\nAnswer: -34033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 11*h**2 - h + 4. Let t be u(-11). Let f = -58 - -59. Let s be 25 - -1 - (f + 0). What is the greatest common factor of t and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*((-5)\/(-3) - 3). Let x be r\/10*5\/4. Let s = 0.06 - 0.46. What is the third biggest value in s, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 21739473712390?\nAnswer: -21739473712398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 768, 759, 746, 729, 708, 683?\n\"Answer: -2*v**2 - 3*v + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 22. Let i(r) = r + 22. Let d be i(p). Let b(x) = 5*x + 9. Let a(q) = -2*q - 4. Let z(w) = 7*a(w) + 3*b(w). Give z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 6*n**2 + 4*n. Determine s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 1 - 114770*l**3 + 11 - 36.\nAnswer: -114770*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Suppose r = -w - w - 5*l - 5, -3*l = 15. Suppose 0 = 9*n + 2*n - 22. Calculate the least common multiple of n and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225379\/48 + 4695. What is the common denominator of v and 71\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 195113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/38578198 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*j + 2666346 = 192*j - 263*j. Is -7386 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -44. What is the tens digit of 2\/4 + k\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-21) + 46\/14. Let y(q) = 2*q**3 - 4*q**2 + 3*q. Let x be y(b). Suppose 5 = -5*t, -2*j + t + x = -0*t. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.1 rounded to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 94*v**2 + 6*v + 11. Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -337 - -342. Solve 3*l - 9 = 0, -b*l + 8 = -c - l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -12\/25 (c) -1569 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40753428*r**3 + 25028968*r**2?\nAnswer: 244520568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(24) - (sqrt(24) + sqrt(1536) + 5*sqrt(1536) + sqrt(24))))*-3)\/(sqrt(96)\/sqrt(128) - sqrt(96)\/(sqrt(8)*-2)) + -3.\nAnswer: -200*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 15*s + 18 = 2*n, 0 = 5*s - 4*n - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/2)\/((-336)\/36).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c3080 (base 13) to base 11.\nAnswer: 452540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10 and -95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1\/3, -1.31, -4 in ascending order.\nAnswer: -4, -1.31, 1\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 3762?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13183529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -4 + (-66 - -33) - (3 + -31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335564*l**2 + 116652*l**2 + 865235*l**2.\nAnswer: 2317451*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 295, 261, 229, 199, 171, 145?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, h: 1, b: 1, y: 10}. Give prob of picking 1 y and 1 b.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -15587*y**4\/4 - 46759*y**3\/4 + 140289*y**2\/4 - 77953*y\/4 + 5\/2 = 0.\nAnswer: -5, 2\/15587, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1153, -85, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*b = 660, 5*m = -4*b + 2331 + 1005. Calculate the least common multiple of 1512 and m.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 310.438 + 33.382. Let t = d - 340. What is t rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 6) to base 4.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 16.9. Let r = g - -21. Let j = -49 - -341\/7. What is the closest to j in 0, r, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*h - 717 - 14 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 0 - 3)*(3 + s - 3) + 89 + 13*s - 89)*(2 + 7 + 6) as v*s + w and give v.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422\/184 - ((-1)\/(-8) + 816\/384).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x + 46. Let p(b) = -b - 9. Let q(r) = -c(r) - 6*p(r). What is q(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 8*j**2 + 8*j. Let d be n(-6). Let f = d - 13. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**2. Let b(i) be the third derivative of 0 + 1\/24*i**4 + 0*i**3 - 17*i**2 + 0*i. Give w(b(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 47\/141 + -14*(-670)\/12. Suppose l = -2*i + w, -4*i = -7*i - 2*l + 1174. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 40 = -0. Let h = 9257\/4 - 2335. Is h greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 + 3 = n, -4*n - 4*j = 0. What is the lowest common multiple of n and (3*-1)\/(-10 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**2 - 268 + 268 - 2*w**2 - 4*w + 2*w**3.\nAnswer: 2*w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0149 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*c**4 - 14*c**3 + 16182*c wrt c.\nAnswer: 3552*c**2 - 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 - g**3 + 4\/3*g**4 - 8*g + 1\/20*g**5 + 5*g**2. What is the hundreds digit of z(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*u - 2*u + 393, -2*u = -2*a - 204. What are the prime factors of u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o - 3*m + 246 = 88*o, 2*m = -5*o + 404. Solve 0 = -o*x + 76*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856338 is divided by 158?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times -12032\nAnswer: 16844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 4. Let b(h) = 2*h - 5. What is -2*b(m) - 3*o(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + -6. Let m = v + 31. Let f = m - 8. Which is the third smallest value? (a) 1 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1780547, -1780576, -1780605, -1780634, -1780663, -1780692?\nAnswer: -1780721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 58. What is the common denominator of 1 + 4 - (-212)\/w and 47\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 divided by 7201?\nAnswer: 1133\/7201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/(445\/(-31150))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2539749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1798318, 7193230, 16184744, 28772860?\nAnswer: 44957578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*m - 16 = 0, 2*c + 6*m + 16 = 3*m. Let f = -8 - c. Solve 3*g + 0*a + 4*a - 14 = f, 3*g = a + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 take away 22.6?\nAnswer: -23.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = -u, -3*u + 5*p - 17 = -24. Suppose -3*i - f = -6*f - 32, 12 = -i - u*f. Let a = -0.4 + 0.3. What is the closest to a in -2, i, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27732.086 - 1.8\nAnswer: 27730.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 102 = -g. Suppose -u = u - g. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 2*l**2 + l + 1. Let i be a(2). Suppose h + 3*y = y + 8, -3*h + 18 = i*y. Calculate the remainder when 11 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-238)\/1309 - 3698\/(-11) and 8?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11101110110101001000?\nAnswer: 11101110110101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*r + 20 = 0, -15 = 4*n - 6*r + 9*r. Solve 0 = 3*w + 2*z - 6 - n, 2*z = 4*w + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2\/2 + 376854*h + 23669822886 = 0.\nAnswer: -125618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (29 - (-2 - -10)) + -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 455456 (base 7) in base 4?\nAnswer: 103310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + -10 - (-63*36\/162 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - 4*m - 5. What is f(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - 0) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 156\/52 - (1 + -15). Suppose f*s - 3369 = 1034. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -7*i**5\/20 - 4*i**2 + 3*i. Let o(l) = -8*l**3 - 9. Let q(w) = -4*c(w) + 3*o(w). What is the derivative of q(h) wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -3. Let z be c - -1 - (-2 + -4). Suppose 0 = -3*n - 7*m + 2*m + 49, 0 = -z*n + 5*m + 15. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789 = 219*t + 65*t - 21*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Let m be ((-1)\/5)\/((-12)\/(-24)). Which is the third smallest value? (a) p (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146811770 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358294304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1801419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350565223.\nAnswer: 350565223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 777, 776, 773, 768, 761?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53027.\nAnswer: 13, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-7))\/((-4)\/(-56)). Solve 3*g - t = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 34900347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 4. Let w be a(0). Let h(x) = -x**3 + 4*x**2 + 3. What is the remainder when (-20)\/44*-11 + 5 is divided by h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 962 and 6.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-8)*((-160)\/(-48))\/(-5). Which is the second smallest value? (a) 120\/17 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*-1)\/sqrt(9) + -3*-2*sqrt(48) + 3)**2.\nAnswer: 192*sqrt(3) + 3081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/1 + (-190)\/40\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 - -282. Calculate the highest common divisor of a and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 8. Suppose -14*l + 49 = 77. Let u be h\/(l\/5 - (-14)\/10). Solve 0 = -0*t + u*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 3*j**2 - 2*j**2 + j**2 + 4*j**2. Let d(f) = -f**2 + 6*f - 6. Let n(g) = -g**2 + 5*g - 5. Let q(b) = -5*d(b) + 6*n(b). Determine q(a(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*v - 22*v - 1810. Suppose -427 = -3*i + v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160655015 + 6?\nAnswer: 160655024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 + 287*m + 119 + 120 - 363 as f + k*m and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-54) - (-2)\/(-9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-1 - (-2429 + 5)\/(-6)). What is the greatest common divisor of 927 and l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -50*o**2. Let u(v) = 49*v**2 + 42*v - 210. Let c(p) = p**2 + p - 5. Let z(q) = -42*c(q) + u(q). Determine z(b(i)).\nAnswer: 17500*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 69. Suppose 72 = z*a - 312. Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190 + -186. Let r = -2 - -1.99. Let d = r + 0.31. Which is the smallest value? (a) d (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 5:35 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a hour in seconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/31 - -283\/217. Suppose 26*q + 6 = 28*q. Solve r*w**q - 12\/7*w**2 - 2\/7 - 2\/7*w**4 + 8\/7*w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.023 and 6.2876.\nAnswer: 0.1446148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 59, 90, 121?\n\"Answer: 31*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*c = 8, 5*t - 5*c - 6 = 4. Solve -16*z + 6*z - 10 = t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) - (-45)\/35. Let g be 0 - 1\/(b\/(-6)). Suppose 2*m = -u - u + g, 0 = -5*m - 2*u + 15. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 3, d: 10}. Give prob of sequence eb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.5, -4\/3, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -39483782\nAnswer: -473805384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*y + 19*y + 34*y + 29*y as a*y + b and give a.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 64252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -39, -51, -69?\n\"Answer: -3*b**2 + 3*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 36*r - 140 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -4.2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and -8634.3.\nAnswer: -8634.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 8*r + 2. Let k be x(8). Suppose 390 = k*c - 4*l, 0*c + 4*c = -l + 762. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**3*c**(2\/5)\/c*c)\/(c**(-2)\/(c\/(c*c\/(c\/((c*c**3)\/c))*c))) assuming c is positive.\nAnswer: c**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j - 2. Let k(q) = 4*q + 1. Suppose 4*c + 2*o + 31 = 7, -c - 2*o - 9 = 0. Let r(g) = c*n(g) - 6*k(g). Let b = -2619 + 2614. What is r(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 21*u + 107. Let t be o(14). Solve 0 = -t*v + 27*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57476 is divided by 338?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-70)*-10*3*11\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39222402 to the power of 1\/2, to the nearest integer?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2374*b - 2367*b + 45*b**2 - 2372*b + 7113*b.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -782 + 1204. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5577952 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12977828, -12977829, -12977830, -12977831, -12977832?\n\"Answer: -x - 12977827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 10383*b**2\/2 + 2016160*b - 4011558.\nAnswer: (b - 9979)*(b - 402)*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/72*12\/52?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 35*t + 5. Let v(f) = 6*f**2 - 53*f + 8. Determine -7*h(d) + 5*v(d).\nAnswer: 2*d**2 - 20*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-23) + 2 - ((-8379)\/(-342) - 25)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142260 divided by -7113.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4405, -5939, -10111, -18241, -31649, -51655, -79579, -116741?\nAnswer: -164461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w*w**(-3)\/w)\/(w\/w**31)*(w\/((w*w**5)\/w)*w)**4 assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/5 + 6*j**2\/5 + 9*j\/5 - 2. Factor x(u).\nAnswer: 3*(u + 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 15*l**2 - 1131*l - 690. What is u(76)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 288738 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383418020?\nAnswer: 2, 5, 1249, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 != -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*u + 37*n**2 + 9*n*u**2 - 471*n*u - 50318*u**2 + 126 wrt n?\nAnswer: 2*n*u + 74*n + 9*u**2 - 471*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (8 + -2) - (2 - (-3 - -5))) + 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 134?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/4, 57, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 85\/7. Suppose -2*d = -4*u, 2*u + 0*d = -d + 8. What is the nearest to -2 in -3, u, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-7 - -5)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - ((-12)\/3 + 8). Let l be (-2 + 3)\/(w\/(-2)). Put -5, l, 3 in descending order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1615170, 1615154, 1615120, 1615062, 1614974, 1614850?\n\"Answer: -k**3 - 3*k**2 + 1615174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(2)*-5)\/(1*sqrt(10)*-2))**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-3 - ((-2937913)\/22 + (-4)\/(-8))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -380, -445, -512, -581, -652, -725, -800?\n\"Answer: -p**2 - 62*p - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6*y**3 - 16*i**4*y**3 + 2*i**2*y**3 - 5*i*y**3 + i*y**2 wrt i?\nAnswer: 120*i**3*y**3 - 384*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-45))\/((-1)\/(-12)))\/((-5914)\/38441)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1466022 divided by 163\nAnswer: -8994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 6143 + 6143. Let d(r) = 4*r - 3. Let s(v) be the second derivative of -3*v**3\/2 + 7*v**2\/2 - v. Let k(q) = -7*d(q) - 3*s(q). Give k(y(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t**2. Let n(k) = -34*k. Give n(u(g)).\nAnswer: -510*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 204*s + 5 - 30 + 195*s. Is z(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44157575, 44157572, 44157569, 44157566?\n\"Answer: -3*a + 44157578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 101 + 107. Solve -g*p + p + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuksshhkkkskuc. Give prob of sequence cskh.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(21)\/sqrt(3)*-6 + sqrt(847)*-2 + -1.\nAnswer: -28*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -222?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 432*m*q**3*y + 136*m - q**3*y - 3*q**3 - 2*q wrt y.\nAnswer: 432*m*q**3 - q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 + 4*n - 4*n + 2*n - 186 as u*n + j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 + -0.01. What is the third biggest value in -7, p, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444854 is divided by 17109?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (3 - 5) + 11005. Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 3*z + 2*z)*(-2*z - 2 + 2) + 28 - 28 + 8*z**2 in the form c + a*z**2 + p*z and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -15568?\nAnswer: 435904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - p = x + 8, 4 = -2*x - 5*p. Let n be 1 + (-2 - x) - -4. Let v = -3554 - -3556. Sort v, 1, n.\nAnswer: 1, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 7 + 37. Suppose -r - 2*s = d, 3*s + 22 = 2*r - s. Suppose v + r*v = 20. Solve v*q - 18 = g, -q - 6 = 4*g - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640763 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 276 + 276 = 0. Sort -878, 5, r in descending order.\nAnswer: 5, r, -878","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -16. Solve -2*t + o*t = -4*z + 8, z - 5*t = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87676 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 4. Let u(q) = q**2 - 2*q + 1. Let t(v) = -4*v**2 + 7*v - 3. Let d(o) = 2*t(o) + 7*u(o). Give 4*d(a) - k(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 - x. Let p = 2 - -2. Let m be ((-4)\/(-8)*0)\/p. Calculate c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.057 + 51. Let b = x - -0.121. Is b <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {s: 5, k: 4, v: 3, a: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12909089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.48*0.6.\nAnswer: -1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -2*m + 0 - 1\/6*m**3 + 13\/2*m**2. What is the units digit of k(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 11. Let x = 2 - 0. Let f(d) = 2*d**3 - d**3 - 3*d + d**x + d. Determine f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -379767.\nAnswer: -4\/379767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4686391053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1407091 decades in millennia?\nAnswer: 0.001407091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3262 in -12, 3\/4, -2\/9, 0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + 8, p = -4*h + 164. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -7. Let o = -234 + 232. Put -0.3, o, b, 3 in ascending order.\nAnswer: b, o, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.064 - 65.936. Let h = -66.3 - x. Which is the closest to -2\/25? (a) -4 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713124 and 89652.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, 3, 2.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - 11 - (-3 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v**2 - 1. Let o(r) = 2*r**3 + 78*r**2 - 3*r - 2. Calculate -2*c(i) + o(i).\nAnswer: 4*i**3 + 76*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 701 = 661. Solve 6*c + a*c = 64 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 4. Let r be f(-4). Suppose 17*v = 15*v + 4711886. Suppose r = b + v + 1944057. What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/(((m*m**(-35))\/m)\/m))\/m*m)\/(((m*m**35\/m)\/m)\/m*m*m) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/10 + 49*v**4\/10 + 22*v**3\/5 - 98*v**2\/5 - 96*v\/5 = 0. Calculate v.\nAnswer: -48, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 15947166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809460.\nAnswer: 2, 5, 140473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g - 1. Let r = 1 - -9. Let s be 10\/(-3)*15\/r. Let a(i) = 4*i - 1. Give s*a(d) + 3*j(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3) + -5 + sqrt(147) + -3 + sqrt(147))**2.\nAnswer: -120*sqrt(3) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9367 to 1 dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/60 + 11*u**5\/180 - u**4\/18 - 13*u**3\/2 + 34*u**2. Let l(x) be the first derivative of g(x). Let l(o) = 0. Calculate o.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76870633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/5 - 2\/(-5). Suppose 0 = -4*k - q + u*q + 274, 3*k - 195 = -3*q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 9*h + 23. Let c(d) = 6*d**2 + 9*d + 23. Let k(p) = -4*c(p) + 5*g(p). What is k(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f**2 - 5 + 3*f + 13*f**2 + 4 - 3 + 25. Let u be p(-3). Solve -5*j + u*j = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*g + 2*g - 39, 4*d + 88 = -4*g. Let p = d + 58. Let h = 28 + p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/3 + 46*c**2\/3 - 26*c - 42 = 0. What is c?\nAnswer: -1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4. Let c(z) = z. Calculate 2*c(t) + w(t).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43021 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 877, 2110, 3841, 6070?\nAnswer: 8797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 - f**3 - f**3 + (f - 3*f + f)*(4*f**2 + 6*f**2 - 3*f**2) + 0*f**3 + 0*f**3 - f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6487*d - 51173. Calculate y(8).\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (-18 + 22 - -33).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -28\/2839?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -15. Suppose -20 = -4*l - 4*z, p*z - 1 = 2. Solve -3*n + 3*s - 10 = 2*s, -2*s - l = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-12) + (-10)\/(-3). Let c be (-26035)\/(-6) + (-1)\/r. Let o = 4343 - c. What is the common denominator of o and 127\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -227\/4 + 56. What is the nearest to 2\/7 in -2, -1\/51, v?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 4*k + 4 = -4*p, 0 = 2*p + 5*k + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/4 + 1963*c**2\/4 + 312577*c\/4 - 314539\/4 = 0?\nAnswer: -149, 1, 2111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 336807907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 78 = 66. Suppose -5*n + 10 = -15. Suppose -n*r + a = -r. Solve 3*b + r*t - 3 = -12, 3*b = -t - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Let k(x) = x - 6 + h - 5 + x**2 - 4*x. Determine k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y. Suppose -h - 20 = -5*h. Suppose 0 = 4*g + 8 - 28, -h*g = 4*t - 33. Solve y = l - t + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855090.\nAnswer: 2, 3, 5, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*f = 21*f + 1494 - 1543 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 0. Let p = 0.39 + s. Let x = p + -0.3. Which is the closest to x? (a) 1\/3 (b) -2\/5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50140, 50134, 50124, 50110, 50092, 50070, 50044?\n\"Answer: -2*k**2 + 50142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10241?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w = -854 - 24738. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6887 and 9409?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 19*h**2 + h - 2. Let l be m(-5). Suppose 5*u = y + 6, -6*u + 0*y + 2*y + 4 = 0. Suppose 3*g = -u*t + 136, -5*t + g + l = 94. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/(-84))\/(7\/(42\/46)*-5).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1959320597 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzkjq. What is prob of sequence zj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - -69. What is the second derivative of -o*n + 106*n - n**5 + 0*n**5 wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102 - 89) + 0 + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u - 14. Let d be y(8). Let n = d - 83\/2. Factor 1\/2*o**5 - 1\/2*o**3 + 0 + 0*o + n*o**2 - 1\/2*o**4.\nAnswer: o**2*(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42+4.8\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.041 - 5.041. Let x = -6 - r. Let h be 1*5*12\/20. Which is the third smallest value? (a) x (b) h (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 - x - 50. Determine n(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:09 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4952449 and -1.076.\nAnswer: -4952450.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**5\/60 - h**4\/6 - h**3\/2 - 20*h**2 - 29. Let g(q) be the second derivative of j(q). Give g(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 61. Let s be (-10)\/4*16\/f. What is the nearest to -0.2 in 2, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(104)*3*-4)\/sqrt(2) + 2.\nAnswer: -24*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 2*s - 2*s)*(-2 + 13*s**2 + 2) + (2*s + 2 - 2)*(0*s - 2*s**2 + 0*s) as k + d*s + l*s**2 + z*s**3 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/74763 and -83\/473499.\nAnswer: 1420497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*d - 10. Let v be ((-56)\/(-7))\/(0 - d). Suppose 0 = -4*i + 4*h - 12, 16 = -v*i + 3*h + 2*h. Which is the biggest value? (a) i (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 7 - (-5)\/(-5). Solve -2*d + 5 = -5*a + m*d, 5*a - 3*d + 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 17358*c - 104256.\nAnswer: 3*(c - 5792)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*2 + -5*sqrt(76)*-6)\/(-1*sqrt(40)\/sqrt(10) - -3*-3*sqrt(4)).\nAnswer: -13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:40 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1277, 2783, 4549, 6599, 8957, 11647?\nAnswer: 14693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = 2*o. Let p(s) = -1 + 0 - 2*s + o - 3. What is the units digit of p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*m - 24 = -6*c, 4*m = -3*c + 17. Let x be (-280)\/696 + c\/(-3). Let n be 6 + (-5)\/(-1)*(5 + -6). Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -1, 2\/17, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 81, 124, 167?\n\"Answer: 43*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33099570 divided by -9.\nAnswer: 3677730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)*g**(-9)\/g)\/(g\/(g**(-2)\/g))**(1\/9) assuming g is positive.\nAnswer: g**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2476 + -0.4786. Round f to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by ((-39344)\/108)\/(-4) + (-2)\/27.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5174, -15521, -32766, -56909, -87950, -125889?\nAnswer: -170726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13*k - 3. Let v(h) = 13*h + 2. Calculate -4*t(m) - 3*v(m).\nAnswer: 13*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -364 + 420. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 209*u + 9198. Determine s(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**29)**(-4\/5))**(-1\/4))**(-1\/6) assuming b is positive.\nAnswer: b**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*s + 3852, s = 3*o - 8*o + 6386. What are the prime factors of o?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from bedcesks?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from qwuuf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*y + 59*y - 260*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6777009 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -9*j - 30. Solve -3*u - 2*i + 8 = 0, -u + j*i - 5 = 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1 - -3)*-4. Suppose -10 = 8*x - 9*x. Suppose 3*c + x*r + 12 = 7*r, 5*c + 14 = r. Put k, c, -6 in descending order.\nAnswer: k, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -2.35 (c) -0.4 (d) 2\/11 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 338707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 239\/(-132) - ((-2385)\/1404 - 8\/156)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 28 = 48. Suppose 2*j = h*j + z - 8, 5*z + 4 = j. Solve 3*f + j*i + 9 = -i, 2*f + 4*i + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2227812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.87 - 2.13. Put -1, b, -3, -2 in descending order.\nAnswer: -1, -2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*l - 0. Let d be (-2 - l)*(-25)\/(-10). Let p(v) = -v**2 + 6*v + 5. What is p(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5\/2 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.1, 3\/7, -1\/3, -2.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(2\/(348*1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - (-21)\/66.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063634 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 + 3*q + 0*q**3 - 2*q**3 - q + 3*q**3 - 2*q**2. Let d be z(2). Factor 7*s - d*s + 4*s - 2*s**2 - 4.\nAnswer: -2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 55\/2 of a millimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26892\/52 + (-10)\/65. Suppose v = 4*a + 29. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160.8 - 161.8. Let r = -17 - -19.7. Let m = 0.3 + r. What is the closest to c in m, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002\/15 - 24\/30?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1595 and 448340?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120430 + -4321?\nAnswer: 111104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -38, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.891625 - 181\nAnswer: -180.108375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - -90. Suppose -q + 3*v + 8 = 0, t = 5*q - 5*v - 15 - 5. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83974893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -19*p**3\/3 - 2*p. What are the prime factors of h(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l + 1. Suppose -2*b - b - 4*w = -24, 3*b - 3*w = 3. Suppose 3*r - r = b. Is 14 a factor of f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a + 18*a + 207 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 6, v: 7}. Give prob of picking 2 h.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0141 and -0.039.\nAnswer: 0.0005499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -26, -39?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - -1626)\/1 + -10 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**2 - 37*u**2 - 3 + 25*u**2 + 28*u**2 + 3.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 102123?\nAnswer: 102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6142 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321 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: Solve -v + 4 = p, -v + 4*p = 22 - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3521.226\nAnswer: -1760.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 7*z**2 - 7*z - 4. Is b(8) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.5 - 6.13. Let l = x + 0.03. Let t = -3\/20 - -2\/5. Which is the nearest to t? (a) 1 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 3:56 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/6439 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 88*x - 367. Let k be t(8). Is 336 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.947793.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06595 and -0.231154764.\nAnswer: -0.165204764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251161.\nAnswer: 19, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/120*27)\/(9\/70*(-10)\/24)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b - 26 + 26 + 21*b + b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139386 - 42019. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 503 and -33.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(-11)\/66.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3845, 1, 5, -2 in decreasing order.\nAnswer: 10, 5, 1, -2, -3845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101.1 - -101.3. What is the fourth smallest value in 1, -0.1, -3, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/7 (c) 3\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from bbbss.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17089 - 0.1\nAnswer: 17088.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 + t + 6. Let q be m(0). Let f be (14\/(-6))\/((-6)\/18). Solve -4*a - 7 = 2*c + f, -3*a = q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let h be y(1). Suppose -s + h = -2. Let z be (-2 - -1)*s - -5. Solve -z*r + 3*c = -12, 5*r - 4*c = -3*c + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/7 + -166)*(-20)\/(2 - -38)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2818*b**2 - 4638*b + 4638*b + 2)*(-6*b**2 + 23*b - 23*b) to the form j*b**4 + r*b**2 + c*b + t*b**3 + v and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*w - 92*w - 256*w - 3 + 224*w.\nAnswer: -195*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -y - 70, -5*g + 4*y - 66 = 62. Let n be (6\/18)\/((-2)\/g). Which is the nearest to 1? (a) n (b) -2\/3 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**4 - 2*a**3 + 2*a**2 - a. Let k(m) = -5*m**4 - 3*m**3 + 3*m**2. Let d(z) = -2*k(z) + 3*n(z). Find the second derivative of d(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.1 (c) -153 (d) 9\/4 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/7 - 63472*l**2\/7 + 253846*l\/7 + 317320\/7 = 0. Calculate l.\nAnswer: -1, 5, 31732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394733?\nAnswer: 3, 19, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10533006 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 - 99*p - 30. What is s(21)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116401246 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/42 and ((-170)\/3332)\/(12\/(-203))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 51 = 162. Suppose 2*j - f = -d, 43 = -0*j + j - 2*d. Calculate the remainder when j is divided by (-1)\/2*0 + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 88773*g**2 + 35*g + 25. Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 4. Calculate a(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 28*y**2 - 7*y - 6. Let s be g(-4). Suppose 5*d + 2*h = s, d + 2*h - h = 91. What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.78 + 0.71. Let k = -1.514 - x. Round k to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.99973 + 12. What is x rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*t + 2*t - 180, -287 = -5*m + 4*t. Suppose -2*b + 7*b - 330 = 0. Suppose 2*l - b = -4*l. Calculate the highest common divisor of m and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6202038747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5856, -21563, -47124, -82539, -127808?\n\"Answer: -4927*w**2 - 926*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-121)*-11)\/(-2*6\/(-312))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 33*f**2 - 32*f**2 - 2*f - 1 to i*f**2 + h + c*f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 5709*s**4 - 2775267*s**3 - 56271147*s**2 - 228996114*s - 255018528 = 0 for s.\nAnswer: -941, -16, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/4)\/1*-3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ed5 + -5?\nAnswer: 1ed0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/270 and 71\/20088.\nAnswer: 100440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/1*10\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 51*r - 108*r + 54*r = -34, 0 = -4*g - 5*r - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8971\/910 - 22\/91. Find the common denominator of -81\/14 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463 - -122. Let k = -340.99999674 - t. What is k rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3016, 22857, 76730, 181657, 354660?\nAnswer: 612761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/6 - h**3\/2 - h**2 - 20*h. Let t be g(-2). Let n(x) = -22*x - 3. What are the prime factors of n(t)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*s - 4*v, s - 3*v = -13 + 12. Put -1, 271, s in ascending order.\nAnswer: s, -1, 271","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*r + 8, -2*r = 5*x - 3*r - 7. Let n(p) = 5*p + 4. List the prime factors of n(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/65 and -28\/25?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9875.057 years in decades?\nAnswer: 987.5057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a + 5*w + 80 = 0, a = 4*w - 21. What is the units digit of (-10 - -12)\/((-2)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -3, 3, -54 in ascending order.\nAnswer: -54, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1881351 and 56\/11?\nAnswer: 20694861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 293035*k**2 + 1701*k - 49.\nAnswer: 586070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -455, -1023, -1819, -2843?\nAnswer: -4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - -102. Let m = b + -88. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*a = -402*a - 39400 + 7430 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -82*w**2 - 65*w + 58. Is h(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -45. Calculate the greatest common factor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3666 times 7688\nAnswer: 28184208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-14) - (-8)\/28. Suppose 9 = 2*y - q, 16 = n + 3*y. Suppose 4*p + 15 = d, 4*p + d = 5*d. Which is the closest to n? (a) p (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-8)\/(-48)*27\/12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.681 - -2.281. What is the biggest value in -4, 0.2, -0.8, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/19352560 and -81\/28.\nAnswer: 135467920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**3 - 140*x**2 - 1015*x - 880 = 0?\nAnswer: -16, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -122, -123, -124, -125, -126, -127?\n\"Answer: -q - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -784854, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 8, 40, -8, 0.5, -10\/17 in ascending order.\nAnswer: -8, -10\/17, 0.5, 8, 9, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 450 + 1283. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 6*d + 104. Suppose 5*v - 2*w = d, 0*v - 5*w + 16 = v. Suppose h = -2*u + 3*u + 1, 0 = -2*h + v. Solve z + 12 = -u*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*c**4 - 4)*(-4*c - 2*c + c) + 0*c**5 - c**5 + 3*c**5 - c**3 - 2*c**5 + c**3 + c**5 - 4*c**5 + c**5.\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1128 - -1?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001394 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19734 and 17749974?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43071901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u - 13*u**2 + 9*u. Let d(g) be the third derivative of 3*g + 0*g**3 + 1\/24*g**4 + 0 - 11*g**2. Calculate r(d(c)).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25610343*w**4 + 19581977*w**2 wrt w?\nAnswer: -614648232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 39*k**2 + 42*k.\nAnswer: -3*k*(k - 14)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 150, 142, 132, 120, 106, 90?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s - 69*s - 5*q - 3 = 0, -5*q + 2 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (64 + -39 + -34)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -422222.101 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 39992958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287 and 19104073?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from kkkxukuaknuxnutnuxk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11 + 5 - 4 - 3*o - 3*o**2 + 2*o**2. Let f be v(0). What is the second derivative of f*t**5 - 114*t**3 + 8*t + 114*t**3 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -1599?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h - 21. Give m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 1. Let o(p) = 2*p**2 + 6*p - 1. Let d(t) = -3*c(t) + o(t). Let r be d(6). Solve 5*y + r = -5*i - 3, 4*i - 3*y = 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*o - 60*o + 16*o**2)*(-41*o**2 - 109*o + 109*o).\nAnswer: -656*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 65?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -25?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 + 2*x. Let a(d) = -28*d**2 + 7*d. Let p(n) = 2*a(n) - 7*v(n). Let m(t) = -5*t**2. Determine m(p(r)).\nAnswer: -245*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 8) + -9 + 17 + (38 - 16).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 135687 divided by 6\nAnswer: 45229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = -a. Suppose 0 = o + a*y - 18, 5*o + 0*o + 3*y = 62. What is the remainder when 29 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(o*o**(-1\/4))\/o*o*o*o)\/o)\/o)**33*(o*o*o*o**(-2\/9))\/o**(-8))**(8\/11) assuming o is positive.\nAnswer: o**(4934\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 727787 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 3 (c) 2\/9 (d) -1\/7 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.02 (c) -1 (d) -3 (e) 140 (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 + -125. Let c = a + 37. Let y = 16 + 24. Calculate the greatest common factor of c and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11930, -2, 2, 25, 3, -5.\nAnswer: -11930, -5, -4, -2, 2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*a + 140*a - 833*a + 121*a + 144*a + 150*a.\nAnswer: -122*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75123 and 25704.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(84) + sqrt(84) + (sqrt(84) - sqrt(84)*1)) - (sqrt(84) + sqrt(84)*2 - sqrt(84))*5)\/(sqrt(972)*1*5))**2.\nAnswer: 3388\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.1005 + 3.106247. Round a to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206224 (base 7) to base 14\nAnswer: -d084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -249, -404, -555?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -10. Let p be -4 + ((-155)\/(-35) - 0). Let u = -1 - -1. Which is the third biggest value? (a) u (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1994619\/2*12\/18. Suppose s + 4*r - 144004 = 0, 0 = 4*s + 3*r + 88870 - n. What is s rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = -4*r, -16*r + 21*r = -4*y + 101. Calculate the lowest common multiple of y and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 326\/1710 + 2\/(-9). Let p = -219858 + 4177304\/19. What is the nearest to -1 in 2, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2958, -2959, -2960, -2961?\nAnswer: -2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -1*(7 + -3). Let v(q) = q**2 - q. Let h(k) = -k**3 + 9*k**2 - 5*k + 6. Let b(i) = -h(i) + 3*v(i). Calculate b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223301.\nAnswer: 13, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (11 - (15 + -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44383707 divided by 547947?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Let y = -42 - -58. Let q(g) = -13*g**2 + y*g**2 - 3 + 3. Determine q(d(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.268 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-15))\/(4\/30). Let t(f) = 3*f**2 + 2*f - 21. Does 37 divide t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22972996 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1638677, 3277307, 4915937, 6554567, 8193197?\nAnswer: 9831827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1616)\/13736)\/(32\/(-51))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 + 331*m + 4359. What is the remainder when j(-13) is divided by 175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306440983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*n - 144 + 277 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*v + 4*v - 2, 5*v - 15 = 0. Let r be (-168)\/(-70) + (-24)\/60. Solve -6 = -b*k - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose -x = -q - 3, 2*x - p*q = 3*x - 3. Suppose -x*n + 27 = -21. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n**2 + 0)*(3*n**3 - 30*n + 30*n).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4361925823 to the power of 1\/2, to the nearest integer?\nAnswer: 66045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12a9b - 5?\nAnswer: 12a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 times 896?\nAnswer: 150528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac3165 (base 14) in base 12?\nAnswer: -1b60145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 j when four letters picked without replacement from fjffffff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -43*j + 2. Let d(t) = 2*t**2 - 258931*t. What is s(d(z))?\nAnswer: -86*z**2 + 11134033*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/6*18\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -304*g**3 + 5*g**2 - 15*g - 17. Give n(-1).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -36*t - 934. Give u(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:00 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1303*h - 3*h**3 - 1303*h.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-14\/3))**(5\/17))**(13\/5) assuming h is positive.\nAnswer: h**(-182\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 + 1.702102436.\nAnswer: -73.297897564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0.06 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*(-3)\/2. Let p = 20573.7 - 20574. What is the fourth smallest value in z, -1, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, 129, 381, 739, 1203?\n\"Answer: 53*j**2 - 13*j - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1417 + 1318. Let o be 15\/6 - (-3)\/6. Find the common denominator of -214*o\/h*(-6)\/(-8) and 63\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/24 + 6*j**2. Let y(b) = 4*b. Determine z(y(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1392.7ml?\nAnswer: 1.3927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507697.\nAnswer: 1507697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1156635237 rounded to 6 decimal places?\nAnswer: -0.115664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 - 22*d - 12. Give i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-7 + 125\/20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a. Let k(b) = 221*b**2. What is y(k(i))?\nAnswer: 884*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 133. Is 28 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18467 - 7038. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 445*c**2 - 264*c + 9. Let g(k) = -111*k**2 + 66*k - 2. Let w(z) = 9*g(z) + 2*s(z). Find the second derivative of w(b) wrt b.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8637094 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0*n - 2*n + 3*n + (1 + 2 - 5)*(-4*n + 2*n + 4*n).\nAnswer: -3*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -9141a?\nAnswer: 91419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 + 11685060*d - 140220432 = 0 for d.\nAnswer: 12, 5842518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Sort y, 2\/3, 5 in ascending order.\nAnswer: 2\/3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 + 43976002.51\nAnswer: 43976097.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 1. Let h = 28 + -19. Suppose 58*m + 1788 = -91*m. Let o = m + h. Give t(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -3870.\nAnswer: 7\/645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -60*g + 2. Let y = -15976 - -16001. Calculate the remainder when k(-2) is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 1, 68, 0.1, -12.\nAnswer: -12, -3, 0.1, 0.4, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:38 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 74*u - 35*u - 57*u + 15. Let w(c) = -c + 1. What is q(z) - 15*w(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3009 and -0.1.\nAnswer: 3008.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13966\/(-5))\/(76\/(-190))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 w be (336 - 336)*(-1)\/(-3). Factor -7\/3*i**4 + 23\/3*i**3 - 2*i**2 + 0*i + w.\nAnswer: -i**2*(i - 3)*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1584480 divided by 19806\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 6*d - 9. Let p be w(-7). Let u(b) = -3*b**2 - 4*b + 2 - 5 + 1. What is u(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2848 + -2884. Which is the nearest to x? (a) -3 (b) 0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 18b?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13212, -13195, -13182, -13179, -13192, -13227, -13290, -13387?\nAnswer: -13524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3 + 3)*(-3 + 3 - 2*l**2)*(-12 - 11 + 1).\nAnswer: -132*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/2 + (-241408)\/13120.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3077 divided by -3?\nAnswer: 3077\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/283 - 313\/8490. Let o = 17\/90 - v. Let i = o - 28\/45. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:57 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/7*w**2 + 3\/7*w**5 + 0 + 9\/7*w**3 - 9\/7*w**4 + 0*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 65.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*(0 + 0))\/(-2). Suppose -16*b + 13*b + 21 = q. Let v(x) = -x + 9. Let u be v(4). Solve -d - b = 2*a, d + 4*d = u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6386)\/9579)\/(((-2)\/3)\/((-14)\/1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -377?\nAnswer: -33\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*i = -37 - 2, -5*j = -2*i - 65 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 386778*l + 58720944.\nAnswer: 3*(l - 128774)*(l - 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 15) to base 5.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - k - 7 = 0, d = -d - 2*k + 2. Suppose -d*x + 3*g - 4*g + 11 = 0, -x = -2*g - 3. Is 17\/4 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1326 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/117, 1, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 7)*(-1 + 11 + 5)*(-5518*x + 2844*x + 3072*x) to u*x + y and give u.\nAnswer: 5970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1808 and 1351664?\nAnswer: 152738032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 22. Let b = n + 4. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = 3. Suppose -5*d + 2*d = -4*w - 32, 0 = h*d + 5*w + 13. Solve -4*s = -5*k - 37, 4 = 2*k - d*k - 2*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*b**3*u*y - 2*b**3*y + 50*b**2*u*y + 46*b*u - 7*b*y - 41*u*y wrt b.\nAnswer: 504*b*u*y - 12*b*y + 100*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.001, -0.1, 2, -15, 1\/53 in descending order.\nAnswer: 2, 1\/53, 0.001, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14748649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 - 0.15. Let p = -6 - -6.3. Let a = p - 0.3. Sort l, -0.5, a.\nAnswer: -0.5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 2. Let b be n(-4). Let f = -29 + b. Suppose -4*r = 0, 4*h - h + 24 = r. Do f and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 91*y - 114. Give u(-20).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 10 = -7*c + 25, -4*c + 3*h - 39 = -93 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2500)\/12)\/((-2)\/36)*(-53)\/(-106)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197635683077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 144081 = 5*u, -34*u + 31*u = 5*f - 86452. List the prime factors of u.\nAnswer: 7, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10331203 (base 4) to base 6.\nAnswer: -234031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 214\/4 - 11\/(-22). Let v = r + -26. Calculate the lowest common multiple of v and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95147981 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:09 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 12. Let j = -3.2 - -3. Let l = 0.161575 - -0.338425. What is the second biggest value in t, j, 1\/22, l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 526, 1027, 1516, 1987, 2434, 2851?\n\"Answer: -r**3 + 508*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9626 (base 10) to base 3\nAnswer: -111012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p - 23 - 25 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35846*p + 35845*p - 50*p**2 + 35846*p - 107543*p.\nAnswer: -50*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -45. Suppose 5*t = -w + 2*t + u, 0 = -3*w - 2*t + 18. Solve 2*l = 2*i - 14, 4*l - 2*l = -3*i - w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeiveieeeiegeieveg. Give prob of picking 2 v and 2 e.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**2 + 5*d + 6. Let y(k) = -4*k**2 - 2*k - 3. What is 2*t(z) + 5*y(z)?\nAnswer: -2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -16\/5, 9, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/30 - 36*a**2. Let h(p) = 7*p**2. Calculate n(h(b)).\nAnswer: 98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -125403.1 rounded to the nearest 100?\nAnswer: -125400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 692\/865*(-9170)\/(-4). What is the highest common factor of 1048 and l?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011100011111110010110 - 0?\nAnswer: -10011011100011111110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*a - 20, 0 = 2*u + 5*a + 3 + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 607.02092 + -607. Round w to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300) - sqrt(300)) + 0 + 1 - (sqrt(768) + (sqrt(768) - (-4 + sqrt(768) + sqrt(768)*2 - sqrt(768))) + -4 + sqrt(768) + -1))**2.\nAnswer: -184*sqrt(3) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 160*o**4 - 111*o**4 - 88*o**4 - 58 wrt o?\nAnswer: -156*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i*j*x**2 - 56*i*j*x - i*x**3 - i*x**2 + 2*j*x**5 + 162*j*x**4 + 4*j wrt x?\nAnswer: -6*i + 120*j*x**2 + 3888*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2825\/4 + 4237\/6. Which is the second biggest value? (a) -1 (b) -1\/119 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2*i - i)*(-1 + 12 - 3)*(0*i**2 + 3*i**2 - 5*i**2) - 14 - 6*i**3 + 14 as s*i**3 + o + v*i**2 + w*i and give s.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.24 - -0.14. Suppose 3*o - 12 = 3. Suppose -z - 4*z - d = 4, o*d + 20 = 5*z. What is the second smallest value in z, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) -1\/11 (c) -0.4 (d) 109 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 0.1, -0.3, 561, 45 in decreasing order.\nAnswer: 561, 45, 0.1, 0, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19369 is divided by 298?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-2))\/((-2)\/8). Let g = 4 + -13. Let q be (11 - 1) + (g - -9). Calculate the highest common divisor of q and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 423*h**3 - 3*h**2 + h. Suppose -l + 12 = 10. Let b be o(l). Let u = b - 2164. What is u rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(204)*-1)\/sqrt(12) - -5*2*sqrt(17)*-4.\nAnswer: -43*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(153) - sqrt(153)) - sqrt(153)*1*-2)\/(2*sqrt(1089) + (sqrt(72)\/sqrt(2) + sqrt(36))\/sqrt(4)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3411*z - 1688*z + 627177 for z.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*24\/1. Suppose -2*j = 2*m - 5*m - 3292, a = 3*m. Suppose -3*k - 92 = -j. What is k rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.98330702 to 3 dps.\nAnswer: 27.983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 4. Let r = -231 - -222. Let g = -7 + 1. Let c = r - g. Let f(h) = h**2 + 3. What is c*q(y) + 4*f(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r**(2\/7)\/r*r*r)\/r)*r*r\/(r*r*r**(-39)*r*r)*(r**(-2\/9))**(-3\/7) assuming r is positive.\nAnswer: r**(794\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o**2\/o)\/o*o)\/o)\/o)\/(o**(-4\/11)*o))\/((o*o**(1\/31))\/o**(-1\/27)))**(-18) assuming o is positive.\nAnswer: o**(49822\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, -2166, -7165, -16854, -32793?\nAnswer: -56542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 10. Let d = z - 3. Suppose -18 = -d*i + 22. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 13*q**2 - q. Let l(u) = u**2 - 7*u - 7. Let h be l(8). Is i(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 69*z**2 + 69*z**2 + 6*z**3 in the form q*z + a*z**2 + w + y*z**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37027 is divided by 1058?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315449 is divided by 38400.\nAnswer: 8249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243371986*t + 384867969 wrt t.\nAnswer: 243371986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfu when three letters picked without replacement from ffbfbub.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/171, -1\/5, 1\/7, 2, -42?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10928449 times 3.4\nAnswer: -37156726.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 924 and 10342101.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257*w - 100*w - 13 - 155*w + w**3 - 8*w**2 to h*w**2 + v + d*w + r*w**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**13\/c**24*(c**(4\/13))**(-1\/56) assuming c is positive.\nAnswer: c**(-2003\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56853784, 113707581, 170561378, 227415175, 284268972, 341122769?\n\"Answer: 56853797*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = 2*s - 3, 0 = -s - l + 5. Suppose -2*j + 2*t = -6, 0 = -3*j - 0*t - 2*t + 29. Let g be 1392\/168 - 2\/j. Solve g - 24 = s*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -39185 - 19306. What is a rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 3164*f**3 - 43516*f**2 + 2484*f + 484848 = 0.\nAnswer: -3, 4, 13, 777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d + 7*d = -310. Sort d, -42, 0, 2 in descending order.\nAnswer: 2, 0, d, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(5\/8)*(x*(x\/(x*(x**(-1)\/x)\/x))\/x)**(-2) assuming x is positive.\nAnswer: x**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = 160. Suppose -s*c = -32*c + 5. Let b be 2\/8 - (325\/20)\/c. Let n(p) = p - 2. What is n(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*b - 163 - 85, -30 = 5*r. Calculate the remainder when 961 is divided by b.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Suppose 2*h + 3*h = 20. Let q(l) = -4*l + o*l - h*l. Let d(j) = 2*j**2. What is q(d(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*d + 68*d = -261343. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 0, -2\/53, 2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001100010 + 11001010101010?\nAnswer: 100001100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -16*y + 84. Let b(f) = -f**3 - 8*f**2 - 2*f - 5. Let q be 12\/30 - (-42)\/(-5). What is the remainder when b(q) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 1)*(-35)\/(-14). Let j be p\/5 - (-14 + 4). Solve -o = 13 - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghkgghvvgvv. What is prob of picking 2 v and 1 g?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7134)\/21 - 4\/14. Let k = 357 + n. Solve k*r = 16*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 395, 416, 457, 524, 623, 760, 941?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3970695 and -73\/9000242.\nAnswer: 135003630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 13*c**3\/3 - 107*c**2 + 866*c - 9119. What is the derivative of f(s) wrt s?\nAnswer: 26*s - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**5\/2 - 8945*u**4\/2 - 1574169*u**3\/2 + 8708387301*u**2\/2 - 14505884568*u + 4351524768 = 0.\nAnswer: -1896, 1\/3, 3, 807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18967960 and 940560?\nAnswer: 113807760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547 is divided by 1442.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110245912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.73 + 35.73. Let x be (-2)\/4*(-4)\/(-9). Is z greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -5501, -18616, -44171, -86312, -149185, -236936, -353711?\nAnswer: -503656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.18, -0.2, 11, -615\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 206*g**2 - 5*g + 2. Let p be m(-6). Suppose 179*i = 165*i + p. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*q*v**2*w**2 - q*v*w**2 - 29*q*v*w + v**2*w - 416*w**2 + 1137 wrt w.\nAnswer: -134*q*v**2 - 2*q*v - 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 900216 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d - 25. Let o be g(4). Let m(f) = 3*f - 14. Let l be m(o). Let v(k) = k**2 + 6*k + 4. Give v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0)\/(-1 + 2). Suppose w = -d - 0 + 5. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*k + 441 = 4296 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065634557.\nAnswer: 3, 13, 43, 635441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -75955, -3, 0 in ascending order.\nAnswer: -75955, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657671960.\nAnswer: 2, 5, 11, 1494709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4 + 4314*f**3 + 4527*f**2 - 302790*f + 863400 = 0. What is f?\nAnswer: -10, 4, 5, 1439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k - 2. Let g = 78 + -74. Let h be z(g). Solve -n - c = 0, -h - 9 = -2*n - 5*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -7*z**4\/4 - 7*z**3\/3 + 9*z**2\/2 + 6*z - 155. Let c(f) = -20*f**3 - 20*f**2 + 26*f + 17. What is 6*c(j) - 17*o(j)?\nAnswer: -j**3 - j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from jiddddddddjdddbddjb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-6) + 99598\/228. Suppose -y = -b + 133. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 14, 0.4, 0.08, -23 in decreasing order.\nAnswer: 14, 0.4, 0.08, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3709 - -4732. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = v. Suppose -3*u - 5*k = -14, 8*k - 6*k - 2 = 0. Suppose -c + 3*j - 72 = -v*c, u*c + 3*j = 186. 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 20318*p**2 - 173456*p?\nAnswer: 40636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2))**(-1\/4)\/(c*c**6*c*c**7\/c*c) assuming c is positive.\nAnswer: c**(-121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.957 + 0.757. What is the closest to 8\/13 in u, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 - -1 - 4 - (-65 - -63))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 216841160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - 75. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068235 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 3 - 4*q - 5*q + 3 + 8*q + 2*q**3 - 3*q**2 - q**4 to the form y*q**4 + z*q**3 + g + v*q + o*q**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:40 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 - 19648*o**2 = 0. What is o?\nAnswer: -4912, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -439 + 435. What is the nearest to 7 in -2\/7, 12\/11, z?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/42 + (-2 - 18\/42). Let l(j) be the third derivative of -j**6\/120 - j**5\/20 - j**4\/6 + j**3\/6 + 29*j**2. Calculate l(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4878.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*3\/(-6) - (-2)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.11, -2, -0.4, -65730, -5\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 440.4 + -440. Which is the nearest to 37? (a) 7 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4022985, -1, -2 in increasing order.\nAnswer: -2, -1, 4022985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o + 224. Let z(b) = 56*b + 673. Let k(x) = -17*u(x) + 6*z(x). List the prime factors of k(35).\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372254774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.400000497 - 40.4. What is a rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - 8. Suppose -x = -6*x - n*x. Suppose 49*i - 45*i - 3716 = x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let l(k) = -k. Let m(g) = 4*g**2 - 8*g. Let q = -6 - -7. Let x(n) = q*m(n) - 8*l(n). Calculate i(x(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/9 and 14\/21 + 172\/(-42).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 346 - 343. Solve f - 5*r = 234 - 231, -3*f = -d*r - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10021020022 (base 3) to base 8\nAnswer: 175502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.626 - 0.024. Let f = -2.1 - a. Round f to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 21, 5, 1, -239 in ascending order.\nAnswer: -239, -1, 1, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1455*b**2\/2 - 45*b - 7. Let k be w(19). Round k to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.67 * 4\nAnswer: 18.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2689697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-513)\/(-399)*(-12)\/(-54).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1553512384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 4*s**2 + 78 + 93*s**3 - 37 + 43*s**3.\nAnswer: 136*s**3 + 4*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3647866 and 76162?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -196\/11 (c) 4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 28*k + 100 + k**4 - 20*k**3 - 198 + 22*k to the form z*k + m*k**3 + q*k**2 + v*k**4 + w and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 x when three letters picked without replacement from {l: 7, x: 1, z: 3, h: 1, c: 1, o: 4}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**3 - 21*j**2\/2 - j. Let f be (72\/4 - -4)*3\/6. What is the tens digit of s(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z - 13. Let p be t(5). Solve -b + 15 = -p*q + 3*q, 2*q - 5*b + 21 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59 - -548?\nAnswer: 5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u - 53. Let s be (-980)\/126 + (-4)\/18. Let m be i(s). What is the derivative of -589 + 6*d**3 - 2*d**m + 585 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 30 (c) 149827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 + 1 = 0. Let g(t) = -14 + s + 3*t**2 - 8*t - 2*t**2 - 2*t**2. Let f be g(-6). Sort -4, f, -2 in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 25*p**2 + 25*p + 17. Calculate j(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**7\/(q**4)**48 assuming q is positive.\nAnswer: q**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + -4.04. Let b = 83.011 + -0.011. Let g = 88 - b. What is the nearest to -0.02 in g, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*((-80)\/(-96)*-123 + 2*-1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 1.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*z - 7*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -3*n**6\/160 - 7*n**5\/80 + 17*n**4\/96 - n**3\/8 + 13*n**2. Let v(b) = 0. Calculate b.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 124*o**2 - 155*o - 830. Calculate n(-123).\nAnswer: 3106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 652.1319 weeks?\nAnswer: 394409373120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*u**3 - 109*j**2 - j*u**3 + 99*u**3 wrt j.\nAnswer: 2*j*u**3 - 218*j - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1320 = 2*z, -2*m + 4*z + 600 = -296. List the prime factors of m.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 4*o + 13*o - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 66330.9 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*o - 88*o + 102 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus -0.0446?\nAnswer: -0.7554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 379*t**3 + 8*t + 8*t**2 - 380*t**3 + 4*t + 19. Let f be d(9). Suppose -m = 3*i + i - f, -2*i = -4. Calculate the remainder when 73 is divided by m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106731 and 47436?\nAnswer: 426924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p - 180 = 0. Suppose -11*q + 9*q = h - 34, -4 = 4*q. Calculate the highest common factor of h and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 p when three letters picked without replacement from uszgp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 271 - 2 = 24*s + 165 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/10 + (-6)\/(-10). Suppose h = 4*x - 16 + 60. Let c(s) = -19*s + 14. Is c(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 11 + 9 + 5)*(2 + 1 - 2)*(-5*z + 6*z + 4*z).\nAnswer: -45*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.54 + -0.6. What is the biggest value in -0.4, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - 1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**5 + 160*w**4 - 550*w**3 - 340*w**2 + 1635*w + 1260 = 0. Calculate w.\nAnswer: -1, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554754 is divided by 304.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25372308 to the nearest integer?\nAnswer: 5037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-2*(sqrt(440) + sqrt(440)*-1))\/sqrt(11))\/(6*sqrt(128)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 - 2.78. Let u = t + 1. Let m = -0.4 + 0.5. Which is the biggest value? (a) u (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135227658?\nAnswer: 2, 3, 22537943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 167 = -2*t, 0 = 2*t - 4*t + 2*b + 182. Let v = -37 + 38. List the prime factors of v - t\/(-6)*3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 4659 - 17718. Suppose x - 247 = 7*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417539947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/((-5162)\/5164 - -1). Suppose 0 = 8*h - c - 1269. Suppose 3*i - i = h. What is the highest common factor of 40 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29917, 49218, 68519, 87820, 107121, 126422?\n\"Answer: 19301*w + 10616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311301031 - 11?\nAnswer: 1311301020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7411, 14820, 22229, 29638?\n\"Answer: 7409*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 129. Solve -3*c - i*w = -18 + 3, 4*c + 5 = w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 18*u - 1244. Give f(73).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w - 11. Let a be q(5). Suppose -3*s + a = -11. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18616311 a multiple of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*f - 3083136 = -60*f - 3083856 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 68?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f + 14. Let v(c) = -c - 1. Let j(z) = n(z) + 6*v(z). Let l(h) = h**3 + 5*h**2 - 8*h - 4. Let g be l(-6). Is 12 a factor of j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-28 - 27) + 14?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Suppose -45 = 34*b - 37*b. Suppose 15*g - 10*g = -b. Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*q - 16, -2*q - 18*z + 24 = -14*z. Which is the nearest to 2? (a) q (b) -2\/9 (c) -1 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)**(-25))**(8\/3) assuming d is positive.\nAnswer: d**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1598, 3165, 4718, 6251, 7758, 9233?\nAnswer: 10670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-2))\/5 + (-332)\/44\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 3*h + h)*(-h - 2*h - 2*h) - 2*h + 15*h**2 - 23*h**2 + 14*h**2 to the form k*h + y + i*h**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3371.\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54871, 219455, 493759, 877783?\nAnswer: 1371527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 15 = -p. Let t be (3\/(-3))\/((-1)\/p). Suppose 55 = 212604*n - 212615*n. Put t, n, 1 in decreasing order.\nAnswer: t, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (561\/(-10659))\/(-1*1\/133).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -8*v + 32. Suppose v*g = 16*g + 24. Let l(x) = x**3 - 6*x**2 - x - 1. Determine l(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005829981 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-five eighths of a microgram?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2. Let v be 1*(2\/1 - 2). Let x(w) = -4*w + w + v*w + 2*w. Determine x(g(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-270)*4*(-80)\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*y = -25, -2*r - 118*y = -114*y - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -513, -798, -1101?\nAnswer: -1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26677140 divided by -570.\nAnswer: 46802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990679599?\nAnswer: 3, 7, 13, 57601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*h - 455, -12*u + 17*u - 590 = -2*h. Calculate the greatest common divisor of 48 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 10*g + 13. Let m be f(-9). Let a be 3\/(-1 - 2) + m. Solve 0*o - a*o + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15382.58l?\nAnswer: 15382580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 4. Calculate a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v - 6632*v**2 - 3939*v**2 + 65*v - 32*v.\nAnswer: -10571*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**3 + 5*f**2\/2 - 564*f + 2. Let h(x) = -2*x. Let n(g) = -g + 1. Let l(u) = -5*h(u) + 4*n(u). What is 3*l(j) - 2*t(j)?\nAnswer: 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 1. Suppose -6*v = -4*v + 3*f - 9, 2*v - 2*f + 6 = 0. Let r be y(v). Which is the smallest value? (a) 0.2 (b) r (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52951143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -n + 279 - 301, 5*m = -n - 12 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minus -1175.2?\nAnswer: 1201.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -37*p**4\/3 - 37*p**3 - 132*p. Find the second derivative of z(b) wrt b.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = d, -d = 4*d - 5. Let h be (-4)\/(-3)*3\/y. Factor 2\/3*t + 2\/3*t**h - 4\/3.\nAnswer: 2*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/12 + 3*r**2\/2 - 8*r. What is j(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3978, 1\/17.\nAnswer: 1\/17, 1, 3978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43677)\/(-3165))\/((-6)\/(-20))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1380.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/5 + (-22)\/(-55). Let m(s) = -s**3 + 8*s**2 - 8*s + 9. Let c be m(j). Find y such that 5*y**c - 2*y**2 + 0 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f. Suppose -2*j - 5*q + 18 = f, 3 = -5*q + 13. What is the second derivative of -2*r + 3*r**4 - 2*r**4 + 4*r**j wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673 + 640 - 7*l**2 + 9*l - 1313.\nAnswer: -7*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2047336.164 from 4.\nAnswer: -2047332.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 9.47. Let b = -1213951.4 - -1213950.8700029. Let s = w + b. What is s rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s + 1. Suppose 4*t - t = y + 2, 4*y + 2*t - 34 = 0. Suppose -c + 2*j + y = 0, -4*c + 16 - 6 = -2*j. What is r(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 58. Let z = -30 - v. Which is the second smallest value? (a) 0.8 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uppkdppppkuuukukpp. Give prob of sequence up.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/(-192))\/(2\/(-4))*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:59 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -151, -294, -431, -562, -687, -806, -919?\n\"Answer: 3*b**2 - 152*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09369145 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 1, w: 1, o: 7, n: 2, t: 1}. Give prob of sequence th.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4 + f + f**2 + 3 + 2. Let j(p) = -p**3 - 5*p**2 - 17*p - 19. Let a(h) = j(h) + 3*x(h). Is a(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/4 of a day in minutes?\nAnswer: 35640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14304310 (base 5) to base 7\nAnswer: 1165003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {p: 3, i: 2, s: 3, v: 1, g: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 1, m: 3, z: 4}. Give prob of picking 1 z and 1 m.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.4 - -35. Let q = -6 + m. Let n be 50\/45 + (-2)\/2. Which is the third biggest value? (a) q (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 27, 80, 153, 246?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + 0.16. Let i = -0.1999 + l. What is i rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:25 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/2 - 4*b**3 + 11*b**2 - 12*b + 358. Let z(y) = 0. What is y?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -2*2*sqrt(684))\/(sqrt(12) + (-1*sqrt(144))\/sqrt(12) + sqrt(12)))\/(sqrt(192)\/sqrt(4) - sqrt(15)\/(sqrt(5)*-1)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -404887?\nAnswer: -50\/404887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(14))\/sqrt(7) + sqrt(32) + 2 - 5*(sqrt(128) + 0)) + -3)**2.\nAnswer: 76*sqrt(2) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 4*u + 0*u + 134163 - 134233. Let t(g) = g**2 - 1. Let k(f) = 2 - 2 - 1. Let b(d) = -k(d) + t(d). Calculate b(q(s)).\nAnswer: s**2 + 140*s + 4900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 25 = -z, 4*a + 3*z - 45 = -2*z. Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219808 + -341801463\/1555. Calculate the common denominator of -29\/7 and h.\nAnswer: 10885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s + 7. Let w be h(6). Suppose 3*a + w = -53. Does 26 divide a\/(-18)*4*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 522, 1764, 4190, 8196, 14178, 22532?\nAnswer: 33654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2. Let n(h) = -17*h + 15. Let t(b) = 198 - 182*b + 47*b - 172*b + 87*b. Let c(x) = 66*n(x) - 5*t(x). Calculate c(z(l)).\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(363) - sqrt(363))**2 + -2)*-6 + (sqrt(363) + (sqrt(363) + 1)**2 + -3 - (6*(sqrt(363) + 1) - sqrt(363))))*-6.\nAnswer: -8808 + 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a + 1. Let f be l(-1). Let n = f + -5. Suppose 40*u - 42*u = 8. Is n less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-4)\/7 - (-135)\/21. Let j(p) = p**2 - 9*p + 6. What is j(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31278 to 3 dps.\nAnswer: -0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -0.02, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1) + 5 + 1. Let z = -275\/14 - -2997\/154. Which is the smallest value? (a) h (b) -1\/7 (c) z (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233 + -219. Which is smaller: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 356 + -369 + -1 + 30 - -9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhf when three letters picked without replacement from {k: 7, n: 1, f: 8, h: 4}?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 557, 1123, 1671, 2195, 2689, 3147?\n\"Answer: -p**3 - 3*p**2 + 582*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.8 + 12.11. Let f = -31.31 + x. Let a = f - -31.9984. What is a rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1594*q + 9*q**2 + 10*q**2 - 37 + 1592*q - 17*q**2 - 10*q**4 in the form d*q**2 + u*q + k*q**4 + r*q**3 + w and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 1, u: 11, n: 4}. What is prob of sequence uuua?\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose 4*k = 5*m - 66, 0 = z*k - 4 - 0. Solve l = 6*l + 15, r - m = 5*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 346a96 (base 11) to base 5\nAnswer: 120113033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42332 and 28044.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695738 is divided by 58662?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -29282*y**3 - 76*y. Let r(d) = -9759*d**3 - 27*d. What is -5*j(w) + 14*r(w)?\nAnswer: 9784*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 14*j + 7. Let o(m) = 6*m**2 + 16*m + 6. Let c(z) = -3*f(z) + 2*o(z). Let a be c(-1). What is the closest to 5 in a, 0, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-288)\/(-5) + (132\/30 - 4). Calculate the greatest common factor of r and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050 = -8316564*x + 8316589*x for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*a + 14*a**2 + 15*a**5 + 20*a**2 - 34*a**2 wrt a.\nAnswer: 300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962592277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 4*f - 2561 = 6*y, 5*y + 4*f = 12741. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - q + 24260 = 0, -41*l + 4*q = -40*l - 6065. What are the prime factors of l?\nAnswer: 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 13. What is the tens digit of (j + -1)*550\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*t + t + 5*d, 4*t = -4*d + 20. What is the remainder when 17 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 409167 + 0?\nAnswer: 409167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.01 - -0.01. Are q and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b + 33. Suppose 130*n - 127*n - 18 = 0. Let c be x(n). What is the fourth biggest value in 2, -2\/7, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156329238.\nAnswer: 2, 3, 13, 47, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112564 by -56282.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {u: 1, y: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -2*m**2 + 2. Let k(j) = -2*j + 4. Let a(i) = -1. Let n(d) = -4*a(d) - k(d). Determine r(n(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*f**2 - 22*f**2 - 116*f**2 + 38*f**2.\nAnswer: -202*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(0*p**2 - p**2 + 0*p**2) + 2*p**2 - 4*p**2 - 3*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiil when four letters picked without replacement from llllilllllllili.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 25*f + 166. Let t be r(-6). Suppose -o - 3*o - 16 = 0. Let a = 4 + o. Solve 4*j = -a*j + t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25746)\/(-12)*(6 + 0). Suppose 8*n + 13*n = i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70180?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4429064.\nAnswer: 2, 23, 24071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 6*u**2 - 4*u + 4. Give c(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Let o be (-1 + 4)\/b - -3. Suppose -2*z = -o*i - 38, -2*z + 42 = -i + 13. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*z + 13, 13*z = -4*g + 10*z + 13. Put 1\/31, -4, g in descending order.\nAnswer: g, 1\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948831.98 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) 1 (b) -3\/2 (c) -1\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*r**5*t - 24*r**4*t - 5*r**3*t - 157*r**2*t + 25*r + 2*t - 10 wrt r?\nAnswer: 12360*r**2*t - 576*r*t - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1710 + -1579. What are the prime factors of j?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/42 and -47\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k - 8. Let f be x(-7). Let c(t) = -t - 3. Let r be c(f). What is the greatest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -780735*a**3 + 3*a**2 - 44691?\nAnswer: -4684410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182978 is divided by 2435.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 6\/5, 4, -0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(-390)\/140 - 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/989 and 99\/265310?\nAnswer: 6102130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -905.815 + 909. Let w = 0.195 - j. Let m = 0.01 - w. Put m, -2\/5, -3 in ascending order.\nAnswer: -3, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103860 is divided by 103850?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 7*o**3 - 4 + 0*o**3 - 118*o**2 + 120*o**2 in the form s*o + p*o**3 + z*o**2 + g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 7, -28 in increasing order.\nAnswer: -28, 7, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 2*k**2 + 6*k - 2. Give f(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4414911662.\nAnswer: 2, 7, 17, 2650007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 - 5*w + 4. Let o be c(3). Let d(v) = -5*v + o*v**2 - 4 + v + 0*v + 0*v. Let b(n) = -6*n**2 + 3*n + 3. Calculate 4*b(l) + 3*d(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:28 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -2*q - q. Let l(n) = -n**3 - 30*n**2 - 225*n + 20. Let h be l(-18). What is the highest common divisor of h and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96676, -193338, -290000?\nAnswer: -386662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - (7 + -13)*27\/(-2). Does t = -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - 27. Let q = 3 + x. Let r(b) = -4*b + 4. What are the prime factors of r(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/558 and 131\/55520628.\nAnswer: 166561884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-6 + 4)*1. Suppose 0 = -o + 4*r + 52, -5*o - n*r = -0*o - 237. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*f - 27*b + 29*b, -b + 116 = 4*f. Solve f*a + 39 = -10*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + -7 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Let w = n - 3.6. Which is the closest to 0? (a) -1\/5 (b) 2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d**3 - 140*d**2 + 11*d + 281*d**2 + 19 - 142*d**2. What is the units digit of t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(75))\/sqrt(5))\/(sqrt(132)\/sqrt(11) - sqrt(3)) - ((sqrt(135)*-2)\/sqrt(3))\/((-2*sqrt(81) - sqrt(9)) + sqrt(9)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*d = -0*d - 12, 0 = 5*u - d + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by -323.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 6*w + 4*x = 177 + 36, 2254*w - 4*x + 3 - 10 = 2255*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2 - 3042*f - 1017184 = 0.\nAnswer: -304, 3346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 23*l - 51. Let x be r(7). Let y be -1 - (29 + (1 - 0)). Let i = y - x. What is the remainder when 135 is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -100. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-112)\/(-35))\/8)\/((-2)\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 251 + (10\/6 - (-15)\/45). Let s = -251 + i. Solve -s*t = 2 + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 816 + 4*i - 5*i + i**2 + i + 2*i to j*i**2 + p*i + u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14102708*x**4 + 39891474 with respect to x.\nAnswer: -56410832*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/10)\/((-2)\/(-5)). Let b = 36 - 215\/6. Is c at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826598 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*x + 16 = 0, 3*c + 3 + 1 = x. Solve c = s + s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -0.294.\nAnswer: -0.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14*-63.906\nAnswer: -894.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2515, 5127, 7739, 10351?\n\"Answer: 2612*g - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202843854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*c = c - 13, 66 = 4*v - 3*c. Let w = -7 + v. Suppose 2 + 40 = 4*p - d, 0 = 4*d + w. What is the lowest common multiple of p and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57899 minus -292?\nAnswer: 290.42101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 + v + 3. Let p(q) = -q**2 + 6. Let i be p(-3). Determine g(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40504 - 0) + (-37 - -49).\nAnswer: 2, 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 4.7 (c) 13.47 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 77 = 4*c. Put 0.4, -0.1, c, -3 in increasing order.\nAnswer: c, -3, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11906830 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30728 is divided by 30615?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 862*l. Let t be v(1). Let s = 1282 - t. Suppose 4*k = s - 72. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 = 163*w - 168*w. Suppose 0 = 4*f + 2*d + 806, -32*d + 36*d = -f - w. Is 0.2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-14)*15\/(-9).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93413211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.3.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 817731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/((-40)\/(-50)))\/((-5)\/3). Which is the closest to 2\/5? (a) 1\/6 (b) -0.1 (c) -3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 u when three letters picked without replacement from {u: 4, s: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*f = -9*f - 65, -7*b + 4*f - 89 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g - 17388 = -36*g. Let x = g - 10696. What is x rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, -911?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48129, 96261, 144395, 192531, 240669, 288809, 336951?\n\"Answer: k**2 + 48129*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 55 + 109 = -50 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/80 or 1?\nAnswer: 51\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(405))*3)**2.\nAnswer: 1458*sqrt(5) + 32886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 283030*r + 4005299045.\nAnswer: 5*(r - 28303)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 42 - (-1 - 40) - (-15 + -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00126547283 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5570)\/30 - (-4)\/6. What is the remainder when 1*2*q\/(-10) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -4c?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 227*j**4\/4 - j**3 + 18*j - 187. Find the third derivative of z(t) wrt t.\nAnswer: 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from mmdmmcd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189654 a multiple of 951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 496187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1331*d - 5452 = 2529*d - 1314*d for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135312 or -135311?\nAnswer: -135311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*s = -10*s + 15, -4*s = 4*i - 4. Suppose -3*r + 10 = 4. Sort r, i, -9 in decreasing order.\nAnswer: r, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 4 - 1\/2*j**2 + 0*j. Let i(c) be the third derivative of -c**5\/30 - 3*c**2. Calculate i(m(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/40*1125\/(-6). Let r = 19 - t. Let b = -4 + 3.9. Is b not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37012083.37 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 + w + 1. Let g(z) = 4*z**3 + 9*z**2 - 9*z - 5. Let q(k) = -5*d(k) - g(k). Let c be q(4). Solve a - 3 = 2*f, c = 4*a - 5*f + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1288\/32 - (-2)\/(-8). Suppose -5*y + b + 10 = 0. What is the greatest common divisor of 90 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 - 2247*t**2 - 133182*t + 135432 = 0 for t.\nAnswer: -684, -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)*6*(12 + 2). Let q = n - -76. Suppose 5*k - 50 - q = 0. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224085 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 10\/(-14) - (348\/(-42) - -14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -24111?\nAnswer: 24110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68 - -13.32. Let x = r - 19. Which is the closest to -7? (a) x (b) 4\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8*s - 387*s**2 + 188*s**2 - 4 + 198*s**2.\nAnswer: -s**2 + 8*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6456 divided by 3228\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 0 = -0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.2 + -8. Let m = i - -10.8. Let d = m - 11.9. What is the nearest to 1 in d, 2, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.29 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 3) + (-17 + 14 - -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*k + 27 = 23, -c - 5*k = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223 - -439. What is the highest common factor of m and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 = -2*s + 3*s, 24 = 4*d + 2*s. Solve 5*f = -o - 2 + 1, -5*o = -d*f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 0*s**2 - 2*s**2)*(-65 + 15 - 5 - 18).\nAnswer: -73*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -66*a**3 - 5*a**2 + 3*a + 8. Let b(j) = -65*j**3 - 6*j**2 + 4*j + 9. Determine -5*b(i) + 6*s(i).\nAnswer: -71*i**3 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 55888*n - 55888*n + 111774*n.\nAnswer: -2*n + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49\/5 of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 3. Let m(b) = -b**2 + 3*b + 5. Suppose -2*x + 9 = z, 20 = 3*x + z - 6*z. Let g(t) = x*a(t) - 3*m(t). What is the second derivative of g(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448086955.\nAnswer: 5, 7, 5910559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -294, -153?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.68 + -17.68. Which is the third smallest value? (a) 6 (b) 0.3 (c) o (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 148. Solve 5 - s = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 31*f**3 + 27*f**2 - 12*f - 40. Let z(k) = -17*k**3 - 14*k**2 + 7*k + 21. Let l(a) = 6*j(a) + 11*z(a). Determine l(9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 78?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 - 2*y**2 + 4*y**2.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 33. Let o = -30 + 25. Which is the second smallest value? (a) 1 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29\/3*b**2 - 76*b + 4*b**3 + 260\/3 - 1\/3*b**4.\nAnswer: -(b - 13)*(b - 2)**2*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3*l**5\/5 - 27*l**4\/4 - 3*l**3 + 75*l**2\/2 + 54*l - 170. Factor q(f).\nAnswer: 3*(f - 9)*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 106*m + 528\/5.\nAnswer: 2*(m - 264)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(96))\/(sqrt(40)\/sqrt(45)) - ((sqrt(33)\/(sqrt(44)\/sqrt(4)) + -2)**2 + -1 + (sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(300)*-2)))**2).\nAnswer: -978 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -3418.3.\nAnswer: -102.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 41\/((-328)\/(-160))*572\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edme when four letters picked without replacement from eeemmmmdddeedmmee?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 7*a**2 - 8*a**2 - 6. Let d be w(-3). Let g(o) = 2*o**d - 2*o + 85 - 82 - o**3 - 4*o**2. What is g(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13122 is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -618607 + 1251*a + 618607 in the form c*a + r and give c.\nAnswer: 1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 8*h + 24. What is q(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19514a (base 12) to base 10.\nAnswer: -444298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 5*g + 2*g)*(2*g - 5*g + g) + 126*g + 119*g - 4*g**2 - 246*g as o*g + v*g**2 + u and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/(-6) + 22\/(-33). Let b(q) = 12*q**2 - 29*q**2 + 4 + 6*q + 16*q**2. Let y(u) = -3*u**2 + 17*u + 11. Determine w*b(x) + 6*y(x).\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 37 = 3*v - 2*a - 2*a + 35, 0 = 3*v - 24*a + 210 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + 0 - -5118 - 13.\nAnswer: 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 132 - 157. Suppose 5*k = -3*o + 74, 12*o + 88 = n*k + 8*o. What is the lowest common multiple of 8 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*a - 209*a + 66*a + 74*a + 22*a**2.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.31428 nanograms in grams?\nAnswer: 0.00000002031428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2. Suppose -2*t = -3*t + 27. Suppose 0 = -4*a - 3 + t. Let w(o) = 2 - 8 + a + o. Determine y(w(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 836.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = z - 180. Let j be 38\/12 + (-5)\/z. Let h(g) = -4*g + j*g + 6*g - 2*g. Let c(i) = 8*i. Give h(c(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.22 - 53. Let y = i - 0.82. What is the nearest to 0 in y, -5, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 9*n. Let b be z(9). Let d = b + 6. Let v = 2 - 6. Sort v, d, 1 in increasing order.\nAnswer: v, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-9) - (-70)\/36. Let q(m) be the second derivative of 0 - h*m**2 - 4*m + 1\/6*m**3. Calculate q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 1. Let z(w) = 25*w + 30. Let q(p) = 30*u(p) - z(p). Let m(l) = -7*l. Determine m(q(g)).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b155 (base 14) in base 2?\nAnswer: 1001001000101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 v, and 1 m when four letters picked without replacement from mvifvkfvkfkvkikvkv.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*g**2 + 2*g**2 + 10*g**2 to the form a*g + u + r*g**2 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u**2 + 6*u - 4. Let s(q) = q**2 + q - 1. What is -6*s(n) + v(n)?\nAnswer: 4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-18))\/((-38)\/(-228)). Suppose -23 = -j + 5*g, 5*j - 2*g + 5 = -7*g. Sort k, 2, j, -31.\nAnswer: -31, k, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 66.9999962. Round j to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675) + sqrt(675)*2 + sqrt(675))*-1 - sqrt(675))\/(sqrt(324) - (sqrt(324) + sqrt(324)*-2 + sqrt(324)) - (sqrt(90)\/sqrt(2))\/sqrt(5))*-1.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from kpaankkkapnaaaapnapn?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/(6\/846). Let z = -39 - -49. Suppose z*k = h + 63. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**0)\/(h\/h**0*h))**(-4\/21))**(-1\/43) assuming h is positive.\nAnswer: h**(-4\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.5 > 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odov when four letters picked without replacement from vdod.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -50.2 + -22\nAnswer: -72.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w - 9. Let f be d(7). Suppose 4*u - 20 = -f*g, -u - 4 = -2*g + g. Factor -2*x**4 - 2*x**4 - 4*x**2 + g*x**3 + 3*x**4.\nAnswer: -x**2*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3969)\/(-735))\/((-423)\/(-8695))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 11*s. Suppose s = -4*l + l + l. Solve -g + 4 - 2 = l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/17 in -0.5, 3, -24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-28) + -4 + 34\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/14)\/((-21)\/(-7))*24*-2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 191372490, 191372491, 191372492, 191372493, 191372494?\n\"Answer: i + 191372489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + 243. Suppose 20*b - y = 304. Suppose a - 5*a = -132. Calculate the greatest common factor of a and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*m + 153 = 0, 115 = 2*k + 5*m - 12. Do 56 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 8*m + 10. Let y be a(-8). Suppose y*s - 996 = 764. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5502.8280719 - -71.5\nAnswer: 5574.3280719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from qmqqm?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/4091489 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 2*z + 5. Let q = 302 + -304. Let x(v) = -10*v**3 + 7*v - 16. Determine q*x(j) - 7*k(j).\nAnswer: -j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3588809 or -3588811?\nAnswer: -3588811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1299, 2600, 3901, 5202, 6503?\n\"Answer: 1301*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/8 + (-8649)\/53816\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 10 = 6. Suppose -o = -p - f, -p - 3*f + f = -1. Suppose 4*g - p*g - 73 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9415, 9669, 9923, 10177, 10431, 10685?\nAnswer: 10939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 11*m**2 - m - 11. Let t = -5 + -6. Let d be a(t). Suppose d*i - 65 = -5*i. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44535941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/(-10)*(-2)\/10. Solve -17 = -3*r - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2957, 11527, 25679, 45305, 70297, 100547, 135947?\n\"Answer: -18*b**3 + 2899*b**2 - b + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 34*i + i**2 + 32*i - 2*i**4 - 1 as u + c*i + w*i**2 + f*i**4 + p*i**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.38\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 16*u**2 - 32*u.\nAnswer: -2*u*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*x + 2, 5*m - 4*x - 33 = 7. Calculate the highest common divisor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*i - 105, 0*u + 4*i - 108 = 4*u. Let b = u - -30. Solve s - 2 - 2 = -d, -5*s = b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 - (-3 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 12 - -9 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 0.4, -5.118?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.9. Let y(p) = 51 + 391*p + 394*p - 805*p + 2*p**2. Let u be y(6). Which is the third smallest value? (a) i (b) 1 (c) -3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178.06 * -0.3\nAnswer: 53.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -431.53404 + 555.5341125. Let y = -86 - 38. Let w = x + y. What is w rounded to six dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 119934793 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-600)\/315)\/((-125)\/(-300)).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 4*u - 0*u, -5*p + 19 = -3*u. Let o = 5 - u. Find the third derivative of o*w**2 - 6*w**2 - w**3 + 0*w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.016, 3, 1, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.29 - 0.31. Let p = 44.6 + q. Suppose -81*j - 900 = 819*j. Is p less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 a when four letters picked without replacement from {c: 1, g: 2, a: 6, x: 2, p: 2, j: 4}.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -18*u**3 + 3*u**2 + 3*u - 7. Let k(r) = 27*r**3 - 5*r**2 - 4*r + 11. Calculate -8*h(g) - 5*k(g).\nAnswer: 9*g**3 + g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -22*l - 36. Let h be (-196)\/(-21)*(-3)\/2. Let z be u(h). Calculate the highest common divisor of z and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b = 70*b - 7434 + 1233 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1031*x**4 - 939*x**4 + 1360*x**4 - 1307*x**4 + 2246*x**2 wrt x.\nAnswer: -46008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r - 24 = 0. Let g(c) = -c**2 + 5*c + 8. Let o be g(r). Solve -o*j - 2*j = 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + m**4 + 50*m**2 - m**3 + 0*m + 7*m - 12*m to g + u*m**4 + f*m**2 + v*m + t*m**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -97e5b9 (base 15) in base 3?\nAnswer: -111121200201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-456)\/(-28) + (-10)\/35. Let q = -12 + z. Find the second derivative of -y + 3*y**4 + 11*y - y**4 - y**q wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*b + c - 48, 5*c = 5*b - 60. Let r(w) = w + 2. Let h be r(-6). Let n = b + h. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-8)\/(-2)))\/((-2)\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18856786*i**3 - 16*i**2 + 16*i**2 - 18856785*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-2))\/(3\/42). Suppose 5*b = -0*b - c. Let a(t) = t**2 + 5*t - 6. What are the prime factors of a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -14*s + 12. Let b be (-6)\/12 - (-3)\/s. What is the nearest to -1 in -5, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddl when three letters picked without replacement from dldddlddldd?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 7*t**2 - 5*t + 2. Calculate p(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -41*t**6\/15 - 17*t**5\/20 + 1869*t**2\/2 - 2*t + 1075. What is the derivative of w(z) wrt z?\nAnswer: -328*z**3 - 51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {a: 6, b: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 628 - 408. What is the lowest common multiple of r and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.240393599 to 4 dps.\nAnswer: 2.2404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 11*c - 6 = 0. Let h be (2 + -6)\/48 - c\/(-8). What is the smallest value in -0.06, -2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(-2 + 4*(sqrt(1100) + 0 + 4 + sqrt(1100)) + -3)*5 + 2)**2.\nAnswer: 379200*sqrt(11) + 15864964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2) + (-46 - -92)\/(-138).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 4, -1 in descending order.\nAnswer: 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*2*(-2)\/(-12). Let r be 2\/g + (-72)\/(-16). Solve z = -0 + r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - g - 4*g)*(3 - 3 + 3).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 + 7*w - 432. Let l(s) = -9*s**2 - 9*s + 574. Determine 10*l(c) + 13*y(c).\nAnswer: c**2 + c + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 - -64. Calculate the common denominator of (4\/6)\/(q\/180) and -17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 93072 = u - 9098, 6 = -6*u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f - 9. Let l(i) = 36*i + 19. Let c(m) = -19*m - 10. Let t(z) = 7*z + 74. Let a be t(-9). Let v(u) = a*c(u) + 6*l(u). What is -4*s(n) - 9*v(n)?\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5 - 10. Let f = 24 - d. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u + 35*u + 3*x - 28 = 0, 8 = -u + x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.7 - 8. Which is the nearest to 2? (a) -0.1 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 17. Let f(k) = 3*k**3 - k + 4. Let d(v) = 7*v**3 - 3*v + 9. What is g*f(x) - 4*d(x)?\nAnswer: -x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 + -159. Let i = -0.13 - -0.43. Let k be (-2)\/3 + (-2)\/(-12). What is the nearest to h in -5, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*(w\/w**(-1\/3))\/w)\/w**(1\/15))\/(w**(-9)\/(w\/(w\/(w\/(w*w**(-2\/7)))*w))))\/((w**(2\/7))**12*(w**(-1))**(-18\/7)) assuming w is positive.\nAnswer: w**(478\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 8*u - 26. Let s = 236 - 120. Let b = s - 112. What is the remainder when 62 is divided by x(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 - -1 - -1. Let l(m) = -m**2 + 5*m - 2. Let q be l(3). Is (v - q) + (0 - -12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + -2 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - u - 0 - 164, 12 = -3*u. Suppose -h + 1212 = -0*h. Let f be (-1)\/5 - h\/(-60). What is the greatest common divisor of q and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 + 2724*j**3 + 5436*j**2 + 2716*j = 0.\nAnswer: -679, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 693\/1066 - 15\/26. Let t = -55\/369 - y. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156000 and 15770976?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 1068*m\/5 - 3222\/5.\nAnswer: 2*(m - 3)*(m + 537)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 458\/(-14) - (-2)\/(-7). Let l be (-4)\/(-22) + 6\/r. Let d = 2 - l. Solve -4*h - 14 = z, -2*z - d + 14 = -2*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a - 4 = 0. Let r be (4\/(4\/7))\/1. Suppose 10 = -a*j + r*j. Solve j*k + 5 = -3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from hhhhhihiihheiviih?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 644195 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 48, 1 in decreasing order.\nAnswer: 48, 16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by 18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 7. Let a(v) = -5*v + 8. Give 2*a(o) + 3*k(o).\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*u - 204*u - 470 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/3677 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 3) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 2*h**4 - 8*h**4 + (1 - 2 - 1)*(-4*h**4 - h**4 + 4*h**4).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67 + 4?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = p + 13, -4*k - 22 = 3*p - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {y: 4, w: 1, h: 1, c: 2, v: 1, l: 6}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 2. Let r(g) = -g**3 + 15*g**2 - 4*g + 62. Let l be r(15). Let j(q) be the first derivative of 1 + 1\/2*q**l + 4*q. Calculate 5*i(b) + 3*j(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*b + 890 = -388 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -221985*r**4 + 3688*r - 2.\nAnswer: -2663820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 73\/60*c**5 + 1\/336*c**8 + 0 - 81*c**2 + 0*c**6 - 5\/42*c**7 + 0*c + 0*c**4 + 0*c**3. Find the third derivative of p(h) wrt h.\nAnswer: 60*h**2 - 600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let u = 0.43 - 18.43. Let g = -17.8 - u. What is the nearest to o in -1, 0.09, g?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*g - 20 - 19 = -466*g. Which is the second biggest value? (a) -55 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, a: 7, k: 8, g: 1, n: 2}. Give prob of sequence ka.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-18))\/((-45)\/(-189))*8\/7. Which is the second biggest value? (a) z (b) 394 (c) -4\/7 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1218*r - 3518. Is j(16) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1245324 and 535056.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/136055955 and 91\/275208?\nAnswer: 1088447640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - 10. Let i = g + 25.999987. Round i to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206 + -175. Suppose -66 + 4 = -2*v. Let s = p - v. Solve -5*l - 19 + 4 = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 81509454.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 13}. What is prob of sequence dxd?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.95? (a) -2\/5 (b) 9\/2 (c) -0.02 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 + -4 + 7 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o - 201*o = 390*o - 229*o - 26520 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1414 divided by 359692.\nAnswer: 707\/179846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4698 and 5046.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/2 + (-63)\/(-84)*8. Sort o, 506, 3.\nAnswer: o, 3, 506","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 + -0.53. Let m = 8 - 6.2. Let v = x - m. What is the closest to 1 in v, -2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-22)*(-4)\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226985125804855\/18694 - 12142137899. Let m = f - 3\/1438. What is the common denominator of m and 67\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmlfumi. What is prob of sequence lf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136322026 to the power of 1\/2, to the nearest integer?\nAnswer: 11676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14110, 57881, 130818, 232909, 364142, 524505?\n\"Answer: -2*z**3 + 14595*z**2 - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3, 2, -4, -9.\nAnswer: -9, -4, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/15 - 6\/(-15). Suppose 0 = -3*t + 2*z + z + 12, -8 = -5*t - z. Let p(f) = -1 - f**3 - f**2 - t*f**3 - f - 4*f**3. Give p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + s - 42. Let n be m(13). Let a = n + -182. Suppose 0 = 4*t - 163 + a. Calculate the remainder when t is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 9*r**4 - 5*r + 8*r**4 - 2*r**4 - 3*r**4 - r**4 + 0*r**4 + 3*r**4 + (-r - 4*r + 4*r)*(-5*r**3 + 6*r**3 + 0*r**3) + 3*r**4 + 0*r**4 - 2*r**4.\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(23\/345)\/(3\/(-6))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64653 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: Sort 2, 0.02, -1\/3, 3, 3\/2, 0.12.\nAnswer: -1\/3, 0.02, 0.12, 3\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*t + 5*j, 0 = 19*t - 20*t - 5*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*(-8)\/(-288) - (-29)\/4. Sort 14, 1, -4, r.\nAnswer: -4, 1, r, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -13*b + 53. Let y be ((-2)\/(-1))\/((b\/(-6))\/(-2)). Factor 0 - 4\/7*w - 4\/7*w**y + 8\/7*w**2.\nAnswer: -4*w*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242 + 265.1. Let i = 21 - l. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.6 + -18.2. Which is the third smallest value? (a) -2 (b) s (c) -268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39*f**2 + 337*f + 544. Let l be h(10). Let k(t) be the first derivative of -t**2\/2 + 15*t - 1. What is k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 9:32 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/9))**(-2\/13))**(-44) assuming w is positive.\nAnswer: w**(968\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/126)\/(1\/(-18)*2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (0 - 2)\/(-10). Let r be 2 + (-4)\/(-3) + -2. Which is the closest to -2? (a) -2 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - -10)*(0 - -10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23326 (base 7) to base 14\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose a*f = 7*u - 2*u - 4, 0 = 4*u - 5*f + 7. Suppose -u*x - 13 = -53. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82334, -82335, -82336, -82337?\nAnswer: -82338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 - 2. Let u(c) = -3*c**3 - 7*c**2 + 3*c + 23. Let p(r) = -2*r**3 - 4*r**2 + 2*r + 14. Let l(f) = 5*p(f) - 3*u(f). Calculate i(y) + 2*l(y).\nAnswer: 2*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10625700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {e: 2, w: 1, g: 2, j: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -29*u**5\/60 + 133*u**3\/6 + 54*u**2 - 2. Differentiate f(x) wrt x.\nAnswer: -58*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*h - 69*h - n = 0, 0 = 3*h - n - 8. Solve 9 = h*w - 3*a - 2, 0 = 3*a - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(2057) + -2)*-4 - (-3*sqrt(2057)*-2 - sqrt(2057))).\nAnswer: -99*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23040950 divided by 460819?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 46, 96?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 70 = 4*v, 17 - 5 = 2*s - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15048 and 228.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3041*q + 18255. Let v be r(-6). Put -4, -1.4, -1\/3, -5, v in decreasing order.\nAnswer: v, -1\/3, -1.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4094? (a) -6\/7 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122020022 + 102222?\nAnswer: -121210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 2, s: 2, w: 2, z: 8}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -854 + 814.9. Let d = 39 + w. Let a be 10\/20 - 34\/36. What is the closest to d in -5\/3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h - 9. Let g(d) = -22*d + 19. Let z(t) = -2*g(t) - 5*n(t). Suppose 0 = 5*y, 0*y + 36 = -4*j + 5*y. What are the prime factors of z(j)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-12))\/((-2)\/(-24)). Solve 3 = -3*m - q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4436, -4484, -4524, -4550, -4556, -4536?\n\"Answer: s**3 - 2*s**2 - 49*s - 4386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -1\/4, 3, 2\/11, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 7:16 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4334\/19 - (-16)\/(-152). Let r = 272 - x. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {e: 1, p: 4, x: 2, n: 1, k: 1, z: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 23\/(-2))*2. Let q = k - -38. Let g be q\/(-40) + (-15)\/(-40). Sort -3, g, 5 in descending order.\nAnswer: 5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 351243, 351256, 351269, 351288, 351319?\n\"Answer: j**3 - 6*j**2 + 24*j + 351224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215854 is divided by 316?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-480))\/(26796\/1155)\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188551 or 188425?\nAnswer: 188425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*s - 209*s = 4992. Let r be 1\/(-15) - (s\/(-40) - -10). Put -2\/13, -3, r, -0.5 in increasing order.\nAnswer: -3, -0.5, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-0.01973819\nAnswer: 0.013816733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 0. Suppose -12 = 4*u, 0 = 4*l - 4*u + 2*u - 38. Let o = v + l. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*v - 153*v - 2200 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28515331 - 441?\nAnswer: -28515772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - 2*v**3 - 2*v**5 + v**5 + (-247*v**3 + 120*v**3 - 130*v**3)*(2*v**2 - 5*v**2 + 2*v**2).\nAnswer: 256*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 451 = -39. Find the common denominator of 21\/10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3*h**2 - 4 + 0 + 5*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11139\/524 - 1\/131. Let h = -126801\/4 - -31705. Find the common denominator of h and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8770317 to the power of 1\/2, to the nearest integer?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1245, 556, 5431, 14916, 30547, 53860?\n\"Answer: 256*k**3 + k**2 + 6*k - 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112 or 70?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:06 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 336.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -11. Let m be 12 + 524 + (-9 - -5). Is m\/9 + d\/(-63) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)*3 - sqrt(170))\/((sqrt(80)\/sqrt(4))\/sqrt(2)) + 1.\nAnswer: -7*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r = 161*r + 183*r + 766 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14684 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*j, 4*i - 7 = -j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -15. Suppose 137 = 4*o + 4*y - 95, -2*y - 2 = 0. Suppose 4*m - o = -0*c + c, -4*c - 28 = -3*m. What is the lowest common multiple of m and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3315 by 3099.\nAnswer: 1105\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*o + 48, 4*c + 6*o = o + 72. What is the remainder when 2429 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101101100 (base 2) to base 8.\nAnswer: -47554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Suppose 3*g = -2*x + 34, 2*g + 23 = 3*g + o*x. Calculate the greatest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2737282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 474.8 * -0.1\nAnswer: -47.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 9. What is the units digit of x(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + -0.18. Let w = h + 2.2. Let f be 24\/48 - 4\/6. What is the nearest to f in w, 4\/7, -5\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 2. Let z be k(0). Suppose 3*t - c - z = 2, 2*t + 2*c = 0. Does 11 divide (-4 + -40)*t\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 21*b**2 - 21*b + 46. Let z be c(-22). Suppose z = -y + 40. What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56.33599 and -21725?\nAnswer: 21781.33599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - -55144131?\nAnswer: 55144055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -1 (c) -4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 7) + -1 + -8 + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 768 divided by -192\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -11, 13, 53, 115?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 3\/2, -7\/9, 19?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 2\/10*1. Let l = -93 - -98.1. Let d = l + -0.1. What is the second smallest value in -4, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8306.99m?\nAnswer: 8306990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 475*s + 2139. Determine j(-90).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:09 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9677, -38009, -85227, -151331, -236321, -340197, -462959?\n\"Answer: -9443*m**2 - 3*m - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 410716.8l?\nAnswer: 410716800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, 2, -5 in descending order.\nAnswer: 12, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*(5 + ((-8)\/14)\/(237\/2765))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*w + 62, w + 2 = h - w. What is the remainder when 20 is divided by (-5)\/h - (-46)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000439127 to seven decimal places.\nAnswer: 0.0000439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -12, 179\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (1*(sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70) + (2*sqrt(70) - sqrt(70)) + sqrt(70))))) - sqrt(70) - sqrt(70)))\/(-1*sqrt(40)\/sqrt(4)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 919 (c) -1\/2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/21 and -1\/26721.\nAnswer: 187047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hahd when four letters picked without replacement from {d: 4, x: 1, h: 2, a: 1, f: 2}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 2468\/405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11 - 29 = 0. Let z be a - (-1 + (1 - -1)). Let f(t) = 3*t**3 - t**2 + 11*t - 11. Let i be f(1). Solve 3*q + i*m = -1, -5*q + 4*m = 3*m + z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15344849 divided by -16\nAnswer: -15344849\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 5*o + o + 3 + 6, 0 = -7*r - 24983*o + 24980*o + 296 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 + t + 9. Calculate f(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-9 + 2 - -24)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3\/2 (c) 9 (d) 2\/15 (e) -481 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1450 + 1449.9. Let i = -15 - -14.89. Let v = -0.199 - -3.199. What is the fourth smallest value in -1, i, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, 3, 12, -151, 1\/6 in increasing order.\nAnswer: -151, 0, 1\/6, 0.3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 - g**4\/12 + g**3\/6 - 3*g**2. Let k be o(4). Solve k = -2*j + 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 499 - 472. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6577 - -6581. Sort 7, r, -2, -1 in descending order.\nAnswer: 7, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 519*f - 119 wrt f?\nAnswer: 519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.01. Let v = r + -0.29. Let n = -0.2 - -0.7. Which is the second smallest value? (a) n (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j**4 + 792*j**2 - 792*j**2 + (-11*j + 2*j + 3*j)*(3 + 3*j**3 - 3) - j**3 + j**3 + j**4 as z + f*j**2 + o*j + m*j**3 + x*j**4 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 427*q**2 - 1287*q + 13. Give c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 4044*s**2 - 16215*s + 12168.\nAnswer: 3*(s - 3)*(s - 1)*(s + 1352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 85 = 2*t, 8*t - 3*a = 3*t - 229. Let g = -26 - t. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36213, -36212, -36207, -36198, -36185, -36168, -36147?\n\"Answer: 2*p**2 - 5*p - 36210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*l**4 - 180509*l**3 - 33967751*l**2.\nAnswer: 1176*l - 1083054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eew when three letters picked without replacement from {w: 2, e: 3, j: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 52 = -2*a - 19, -2*i + 54 = a. Suppose 5*h - 2 - 23 = 5*y, -5*h = 5*y + i. Let w = y - -21. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 3)*(82*o + 40*o - 707*o)*(-2 + 5 + 0) in the form h*o + x and give h.\nAnswer: -7020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/5)*b\/b**8)\/(b**(-3\/13)\/((b**(-21)*b)\/b)))**(-30) assuming b is positive.\nAnswer: b**(11064\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84066 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5683\/4 + 1400. What is the common denominator of 19\/5 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*23\/(-3))\/((-42)\/(315\/15))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/4 + 36141*t\/2 + 1663015\/4 = 0?\nAnswer: -23, 72305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i + 2 = 0, -4 = -3*m - 2*i. Let c(o) = -o**2 + 4*o**2 - 5*o**m. Let r(z) = -6*z**2. Determine c(r(a)).\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 8, -3*v + 3*o - 285 = -6*v. Suppose 94*m - 246 = v*m. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 11 = -9*r + 12*r, -3*t - r = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -44.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - 1) - (12 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1123 = -3*w, -5*w + 2662 = 3*k + 789. Suppose 5*a = 5*t + 100, -14 = -a - 0*a - 5*t. Calculate the remainder when w is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13*(s\/s**(-14))\/s*s assuming s is positive.\nAnswer: s**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 436\/3*h**2 - 48*h**3 - 168*h + 16\/3*h**4 + 196\/3.\nAnswer: 4*(h - 1)**2*(2*h - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89670166 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 63386 (base 11) to base 3\nAnswer: 11200121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 13 = 219. Suppose 4*i = 4*n + 5*i - 64, 0 = -2*i - o. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -830861938 or -830861937?\nAnswer: -830861937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-3 - (5 - 4) - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*z - 683 + 2899, g - 2198 = -z. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z + 3*z. Let s = z + 5. Let l(y) = -y**2 + 5*y - 3. Give l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 2:28 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:01 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**1)\/x)**(-2\/61)*x**(-2)\/(x\/x**(-2\/29))*(x\/x**(-5))\/((x**6*x)\/x)*x**(-1)\/((x\/(x*x\/(x*x**(4\/3))))\/x) assuming x is positive.\nAnswer: x**(-23711\/5307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and -144608.7.\nAnswer: -144622.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211 (base 7) to base 5.\nAnswer: -11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -75235, -1.08 in decreasing order.\nAnswer: -1.08, -3, -75235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (6 - -3) - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3281703054 to the nearest integer?\nAnswer: 57286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + w**2 - 6*w - 5. Let v(a) = 6*a**3 + 3*a**2 - 17*a - 14. Give 17*l(p) - 6*v(p).\nAnswer: -2*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = -24. Let p(d) be the second derivative of d**5\/20 + 5*d**4\/12 - 7*d**3\/6 - 3*d**2 + 7401*d. Determine p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -6. Let t = -10 - v. Determine x so that x - x + t*x - 4*x + 8*x**2 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. What is the nearest to -1 in -0.5, i, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27325449.9ns to weeks.\nAnswer: 0.00000004518096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*f - 54 + 58 = 0, -5*f - 20 = 5*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/60 - j**4\/16 - j**3\/6 + j**2 + j. Let h(k) be the first derivative of i(k). Find w, given that h(w) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Let z(a) = -a**3 + a + 5*a**w - a - 4 - a + 3*a. What is the units digit of z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 45*q + 32. Calculate the remainder when g(3) is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 201*u - 1005, 1 - 3 = 11*f - 8*f - u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -73*h**3\/2 + 2*h**2 + 1186*h. Let n(u) = 3*u**2. Give n(i(m)).\nAnswer: 143883*m**2 - 5256*m + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q + 0*q**3 + q**4 - q**3 - 6 - 15*q + 0*q**4 to r + p*q**3 + l*q + c*q**4 + u*q**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 7254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = -56, -9*b - 4*a + 3 = -4*b + 6 - 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.96. Let d = 0.03999976 + l. What is d rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -740.\nAnswer: -1\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1300) - (3*sqrt(1300) + -5) - sqrt(1300)) + 1 + 6*(2 + sqrt(1300)) + -3)**2.\nAnswer: 1800*sqrt(13) + 23850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(1*sqrt(112) - sqrt(112))*5*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104 - 1709*m**2 - 1104 - m**3 - 1610*m**2.\nAnswer: -m**3 - 3319*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611557 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 25*x**2 + 3*x + 2. Give o(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 37842000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -808 divided by 338600\nAnswer: -101\/42325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x = -19 - 68 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:33 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012*a + 7 = 5*c - 2014*a, c - 3 = 2*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3421, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 247*g**2. Suppose 0 = -n - 11*n + 204. Let q(b) = 13 + 14 - 10 + 2*b - n. Give a(q(w)).\nAnswer: 988*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2505.1 + -2505.1056828. What is c rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406 by -5.\nAnswer: 406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/((-352)\/144*2\/(-8))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 84 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1284 - -2330. Round g to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 187020 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 7*a**2 + 6*a - 1. Suppose 12 = 3*w, -4*x + 2*w - 4*w + 104 = 0. Suppose 4*c = c - x. Let s be b(c). Solve -2*y = 3*y + s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 72*o - 338. Let a be 0*((-1)\/(-1) - 2). Sort a, o, 10 in descending order.\nAnswer: 10, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 10*t**2 + 34. Calculate s(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 70*j**4 - 15*j**3 - 115*j**2 - 30*j = 0.\nAnswer: -1, -2\/7, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. What is the third derivative of -p**4 - 3*p**4 - p**2 + p**4 + f*p**2 wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16882912531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -43, -8, -0.049, -2 in descending order.\nAnswer: -0.049, -0.4, -2, -8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**(2\/9)*g)\/g*g**1)\/g**(-40))**47)**(-2\/11) assuming g is positive.\nAnswer: g**(-36566\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 22798524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-44)\/(-22) - (-312)\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2194, 31, -8, 0, 1, -4.\nAnswer: -8, -4, 0, 1, 31, 2194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 24*n**3 - 112*n**2.\nAnswer: n**2*(n - 28)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*451.374.\nAnswer: -18.05496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15979*h - 95871. What is c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -32112?\nAnswer: -32120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/5*p**2 - 8 - 56\/5*p = 0. What is p?\nAnswer: -2, -10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.051582767 + -502\nAnswer: -501.948417233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 504. Let q = 3023\/24 - j. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -32. Let k = 59 + -49. Calculate the smallest common multiple of o and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 45*a + 58. Let z be i(44). Solve 4*v + 26 - z = 4*g, 2*v = g - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 19 + -5 + (-144 - -125).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p + 33*p + 22*p + 30*p - 10*p + 14.\nAnswer: 61*p + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 17*r + 55. Let s be m(4). Calculate the greatest common divisor of s and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 3:17 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v = 62*v - 35 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - s - 11, -10*g + 5*g + 5 = -3*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/(35\/105). Put -1, -34, s in descending order.\nAnswer: -1, s, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 71. Suppose m = -5*z + 158, 4*m + 358 = 8*z + 94. Let h be v\/z*-4*2. Sort -2, -64, 4, h in increasing order.\nAnswer: -64, -2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 3*i**4\/2 + 7*i**2 + 14*i. Differentiate p(t) wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 5 = 5*l, 23*l + 4 = 2*r + 19*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/8 - 1925*m**3\/8 + 921581*m**2\/8 + 4644545*m\/8 + 2793675\/4.\nAnswer: (m - 965)**2*(m + 2)*(m + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 24*x - 152 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let u be (-16)\/6 + (-2)\/(-3). Calculate the lowest common multiple of f and 10 + 0*(u + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6*m + 9. Let l be (m*2\/3)\/((-9)\/(-1620)). Differentiate -17*g**3 - 14 - 360*g + l*g with respect to g.\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/11)*g*g\/(g**(-33)\/g) assuming g is positive.\nAnswer: g**(392\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7117 is divided by 3557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*h - 6, -5*f - 2*h - 104 = -102 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6.557 * -63686\nAnswer: -417589.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - (-190)\/40)\/((-3)\/8). Solve 0 = -41*c + 38*c - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214 + 210. What is the closest to -5 in 10, v, -2, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1 - 0\/1). Suppose 3*c + 2*t - 2 - 3 = 0, -4*c + 25 = -t. Solve -n = -g + c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 - 111. What is the highest common divisor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 262261248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -190*n. Let g(p) = 7*p. Let l = 39 - -41. Let m(c) = l*g(c) + 3*t(c). Is 25 a factor of m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c + 2. Let u be x(-8). Let i = 348\/5 + u. What is the nearest to 0 in 2, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 + 8 + 70 = -147*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 53 - 52*n**2 + 5*n**3 + 56*n**2 - 53 - 4*n. Let q(w) = -6*w**3 - 3*w**2 + 3*w. Suppose 0 + 60 = -15*f. Calculate f*q(a) - 3*d(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttdftttaagtttugttt. What is prob of picking 3 t?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -748 divided by -22?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-9177)\/14))\/(-3*(-1)\/(-9))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -0.525.\nAnswer: 7.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/459*(-2340)\/416*(-2)\/(-2)*-1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 16*a - 17*a. Suppose -a*y - 4 = 4*m + 8, -4*m - 8 = 4*y. What is the third derivative of -m*i**6 + 72*i**4 - 72*i**4 + 6*i**2 wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*o**4 - 2*o**3*u**2 - 207*o**3 + 3180*o**2 + 4*o*u**2 - 2*u**2 wrt o?\nAnswer: -264*o - 12*u**2 - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193242072*l**4 - 127917538*l wrt l.\nAnswer: -2318904864*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, 1\/3, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let m be 108\/(-26) + (5 - 3\/3). Which is the nearest to 1? (a) m (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 5. Suppose 4 = 7*q - r*q. Let s(z) = 6*z**2 - 2*z + 1. Does 5 divide s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*-1*6*6)\/((sqrt(5500)*-1)\/(3*sqrt(275))).\nAnswer: 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-two fifths of a millennium?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + 0 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28497 rounded to 3 decimal places?\nAnswer: 0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150 + 64. Suppose 0 = -23*i - 8*i + 6975. Let r = i + b. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 3)*(-3 + 2*h + h - 1) to the form f + p*h and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 293457970 divided by -2327\nAnswer: -126110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16048563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.0209 + -0.0209. What is the nearest to 0.1 in -4, 1\/2, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73567 + -23129. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.368 (b) -0.2 (c) -322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-1215)\/(-405)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11573, 2\/3, 1\/220, 5?\nAnswer: 11573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5 - 15, -18 = -r - 3*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 4*g - 3. Let j be z(3). Let y = 0 - 0.1. Let w = 456 - 455.8. What is the second smallest value in y, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:17 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 928*a**2. Let w(t) = -4*t**2. Determine w(p(x)).\nAnswer: -3444736*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (2*sqrt(19)*-1)**2 + sqrt(19))*4 + 4 + sqrt(2736) + 0.\nAnswer: 20*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9688781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)*s*s**(1\/4)*s*s**(-3\/7)\/s*s**8*((s**1*s)\/(s\/(s*s**(2\/3)\/s)*s))\/(s**(-1\/7)\/((s\/s**(1\/11))\/s)) assuming s is positive.\nAnswer: s**(42227\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1480 is divided by 211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15 - 30 + 5 + 12 + 33*g**2. Let a(l) = 2*l. Determine a(d(u)).\nAnswer: 66*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/3)*s*s\/s**4)**16 assuming s is positive.\nAnswer: s**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 447*-8\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-10))\/((-15)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -210.33+0.4\nAnswer: -209.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/((-72)\/48). Which is the nearest to -0.1? (a) 0.2 (b) 0.18 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:44 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.113709 tonnes in kilograms?\nAnswer: 3113.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37432 - 142.77\nAnswer: -37574.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4)*c*c\/c**(-8)*c**(2\/3)\/c**(-3))**(-35) assuming c is positive.\nAnswer: c**(-6265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from duddduuuuwduoouddu?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8400 divided by 1680?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611943 and 4023?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 917040 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*s + 0*s + 2*s**3 + 27*s - 95*s**2 in the form k + h*s**2 + l*s**3 + o*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/11)\/(o\/((o\/(o\/(o\/(o\/o**(-4\/7)))))\/o)))\/((o**(3\/10)*o*o)\/(o**(-1\/7)\/o)) assuming o is positive.\nAnswer: o**(-4421\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50010 + -2?\nAnswer: -50012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c + 4. Let g(y) be the third derivative of 0 - y**2 + 0*y + 1\/6*y**3. Let n(d) = -4*g(d) + h(d). Let o(x) = -x. Determine o(n(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/(f**(-2\/3)*f)*f**(1\/3)\/(f*f**(2\/15)*f))\/(f*f\/(f\/(f\/f**(-4)))*f*f\/((f*f*(f**0\/f)\/f)\/f))**(2\/17) assuming f is positive.\nAnswer: f**(-2344\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.83 + -57.831925. Round m to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109350 to the nearest one thousand.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -1.163.\nAnswer: -22.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -139 - 143. Let y be 10821\/(-77) + 2\/(-11). Let h = z - y. What is the biggest value in h, -1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1612 and 2903429?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 10*b**2 + 4*b - 12. Let c be x(10). Let o = c - 17. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 1 + 1)*(-3 + 1 + 1 + (5 - 1 - 5)*(0 - 4 + 2) + 2 - 3 + 3 + 28 + 12 - 7).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 + 9*z + 3 - 3*z**2 + 9*z**2 - 9*z**2 to l*z + n + g*z**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/13, -1, -0.02, 2\/9, -4.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030404440 (base 5) in base 11?\nAnswer: 2387852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {z: 1, i: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34157 + 0*q**2 + 17078 + 17079 + q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 4, -1\/11, -0.04, 0.5, 10.23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.115 times 26\nAnswer: 2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/3*(-15)\/45. Let d = -3112 - -3114. What is the third smallest value in -0.4, 4, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 656*q**2 - 2631210*q\/7 + 5280804\/7.\nAnswer: -2*(q - 2)*(q + 1149)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from {f: 3, v: 3, n: 5, d: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/42 - 80\/30.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 76565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31 times -1.1?\nAnswer: -1.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 49 = -54. What is the units digit of -2 + 2 + 11 + 25\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/3 - 2764780*n\/3 + 1911002112100\/3 = 0.\nAnswer: 1382390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1958\/13 + -5872\/39. Let m = -4.5 - -0.5. Sort u, 1\/2, m, 5 in descending order.\nAnswer: 5, 1\/2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2116*q - 10538. Calculate b(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -37. Let u(z) = 45*z**3 + 2*z**2 - z. Let l be u(b). Suppose -3*r - l = -2*v + r, -3*r = v - 38. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let c be p(0). Let w = 1 + c. Let m be -2 - (-2 - -3*w). Let u(b) = -b**2 - 3*b - 4. What is u(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2242122332?\nAnswer: -2242122334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 764181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49715587?\nAnswer: 49715587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + 5475236.4231.\nAnswer: 5475236.4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63527462, 127054923, 190582382, 254109839?\nAnswer: 317637294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - v = -2454, 4*q + 6*v - 5*v - 1964 = 0. Is q a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 21*n + 50. Let i(p) = p. Let r(w) = -10*w - 26. Let j(b) = i(b) + r(b). Let y be j(-5). Is 2 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.7892 rounded to two dps?\nAnswer: -27.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -3001203320?\nAnswer: 3001203233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -0.051, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 11*r**2 + 36*r - 28. Let k be l(5). Suppose -5*u + 14 = 3*x, -5*x - 3*u + 36 = -u. Solve 5*c + x = -k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 155 = 38*x. Suppose 8*p - x*p + 15 = 0, 4*h + 13 = -5*p. Solve 0 = w + h*u - 17, -2*w + u - 9 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*w**2 + 44*w**2 - 58*w**2)*((-2 + 2 - 2*w)*(0 + 2*w + 0) + w**2 - w**2 + w**2 + 2*w**2 + 0*w**2 - w**2).\nAnswer: 228*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 296903, -12, -3 in decreasing order.\nAnswer: 296903, 2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328253366 times -0.4?\nAnswer: 531301346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8931 + 2?\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328121 = -21*r - 327491 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*q + q - 2*p, 0 = -q - 3*p + 8. Suppose v - 62 = -k, 6*v + 5*k = q*v + 246. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70991892 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/(j*j*j**(-3\/7)))\/((j**(-4\/7)*j)\/(j\/(j**(-1\/5)\/j))) assuming j is positive.\nAnswer: j**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 738*b**2*w**2 - 1676264*b**2 + 67449*b*w**2 - 122 wrt w?\nAnswer: 1476*b**2*w + 134898*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9238068 and 1764.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j + 12. Let x = j + -2. Suppose -c = -y + 5*y + 7, -x*y - 6 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**4\/7 - 38766*d**3 - 9767304*d**2\/7 - 117200736*d\/7 - 468789120\/7 = 0.\nAnswer: -135645, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 - 7*d + 4. Let y be t(6). Let h be y\/8 + (-33)\/12. Let c be 2\/(-4) - 2\/4. Put 0, h, c in ascending order.\nAnswer: h, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 916505 and -16118.\nAnswer: 900387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.07 + -0.07. Let i = 61.6 - 64.49. Let q = i + 8.89. Does s = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -30 + -5 + -15 + 3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -7. Let k = q + 5. What are the prime factors of (4\/6)\/(k\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*s + 339 + 186 = 0. Solve -4*z + 4*t - 32 = 0, -5*t = s*z - t - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from {g: 2, v: 2, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 567, 1509, 2893, 4719?\nAnswer: 6987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30730740 rounded to the nearest 100000?\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -14635 and -102444\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 + q**3 - 2*q**3 + 2*q - 2*q + 2*q**3 + (-4 - 2*q**2 + 4)*(-3*q + 2*q + 0*q) - 5*q**3 - 2*q**3 + 4*q**3 as k + y*q + o*q**2 + u*q**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 0, -145, -9 in ascending order.\nAnswer: -145, -9, -2, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 208 = 3*r - 204 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43199 is divided by 246?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -56e?\nAnswer: -55d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - c)*(115 + 17 - 229)*(1 + 4 - 4)*(-3 + 6 - 4)*(6 - 1 - 2).\nAnswer: -291*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-906)\/(-3))\/(13 - 12). Find the first derivative of -80 - 2 + 303*x + 10*x**3 - m*x wrt x.\nAnswer: 30*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 11*m + 88. Let u(a) = -2*a**2 + 24*a + 176. Let b(n) = -9*i(n) + 4*u(n). Let c(y) be the first derivative of b(y). Give c(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 13 + 3 = 0. Suppose -d*k - 2*f + 60 = 0, -5*f + 0*f + 80 = 5*k. List 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 -5 divided by 236145?\nAnswer: -1\/47229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guq when three letters picked without replacement from uqgxujuqgqguuu?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6103*u - 94359 = 125349 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -290 + 2?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -228*z**3 + 4*z**2 - 3*z + 71. Let s(t) = -229*t**3 + 5*t**2 - 4*t + 72. Let r(c) = -4*s(c) + 5*y(c). What is the second derivative of r(j) wrt j?\nAnswer: -1344*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1840720372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/10)\/((9\/10)\/9). Let g be 6\/2 - 10\/c. Solve 1 = g*l - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 + 1404*t - 250120 = 0. Calculate t.\nAnswer: -481, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686903 is divided by 2538?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111659657.44 - 0.0815.\nAnswer: 111659657.3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j - 1. Let k = -3 - -5. Let l be k - (-1 - -1)\/(-3). Calculate u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 1\/3 (c) 3\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 375.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -1)\/(-1 + 2). Solve 19 = 2*n + 3*x, x - i = n - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59747 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.42 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*s**2 + 7*s**2 - 47*s**2 + (2*s**2 + 3*s**2 - 4*s**2)*(-2 + 5 + 1) + s**2 - s**2 - s**2 in the form h*s + g + f*s**2 and give f.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*t + 138*t + 55 = -s, 0 = s - 2. Solve j - 17 + t = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5*f**2 + 12)*(-f + f + 2*f**3) - 4*f**2 + 4*f**2 + 2*f**5 + 0*f**5 - 3*f**5 + f**5 + (f**3 + 1 - 1)*(3 - 3 - 2*f**2).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83, -345, -781, -1397, -2199, -3193, -4385, -5781?\n\"Answer: -c**3 - 81*c**2 - 12*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 - 2*h - 14. Let y be p(-8). Suppose y*n - 38 - 4 = 0. Solve 4*z = 4*x + 8*z + 8, -3*z - n = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4892, 9863, 14834, 19805?\nAnswer: 24776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - m + 2. Let x(l) = -2*l**2 + l - 2. Let q(n) = -3*g(n) - 4*x(n). Suppose 5*d - 5*u = 0, 18 = -5*d - 3*u + 2. Give q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19381368 - -0.1938. Round m to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19706671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from kdrjdjrjkjjkrkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/8*(-3)\/((-105)\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 688655 + -1275389113\/1852. Find the common denominator of 49\/2 and w.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000074623117 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**2 - 89*t**2 + 23*t**2 + 33*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1155)\/(-1365) + (1 - 2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5 + 4598*q**4 + 575156*q**3 + 6275852*q**2 - 803234326*q + 8628651614 = 0. Calculate q.\nAnswer: -2167, -83, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, 3\/8, -43?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3138711004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p - 13*p + 8*p)*(23*p - 36*p + 27*p).\nAnswer: -266*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 14.5, 0.03473, -2\/5, 2 in decreasing order.\nAnswer: 14.5, 2, 0.03473, -3\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqkkokqqrqrqqrqvq. What is prob of sequence ok?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y - 11. Suppose 0 = 8*z - 33 - 23. Suppose 0 = -5*m - 2*m - z. Let w be r(m). Solve 10 - 26 = w*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-14))\/((-1170)\/(-3276))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006292447 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/5 + 21*w**4\/5 - 4*w**3.\nAnswer: -w**3*(w - 20)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = z - 14, 4*j = 7*j + z - 10. Let n = 49 - 47. Let o = 1 + 0. Solve -2*q - 4*a + 8 = n*q, -3*a - o = -j*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/2))**(2\/63)\/((i\/i**(-1\/9))\/((i**(-2\/87)\/i)\/i)) assuming i is positive.\nAnswer: i**(-5639\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - k - 13 + 2*k. Let t be w(6). What is the nearest to 0.2 in t, 3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 + 11*u**4\/12 - 23*u**3\/6 - 5*u**2\/2 + 37*u. What is the tens digit of i(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.9417 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882501320.\nAnswer: 2, 3, 5, 7, 2241073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 22*u + 51. Suppose -5*v + 84 = -2*q, -4*v + q + q = -66. Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 13707*u + 41121. What is x(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 333 = 19*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 3:37 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6282*p - 6277*p + 50 = 2*h, 5*h = -4*p + 59 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-9) + (1498 - 0\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -645 + 645. Which is the nearest to 1? (a) p (b) -0.3 (c) -0.4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 - -5?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 95, 117, 157, 221, 315?\n\"Answer: q**3 + 3*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + -2 + sqrt(28) - (sqrt(112)*-2 + -4 - sqrt(112))).\nAnswer: -42*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 16*u**6\/15 + 5*u**4\/4 - 297*u**2. What is the second derivative of a(l) wrt l?\nAnswer: 768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145872 and 5065?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1184590 <= -1184588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, i: 2, h: 1, a: 2}. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -53011.4 rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -1928\/5 (b) 22 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1655)\/35)\/((-33)\/34419) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, -4, -37, -104, -217, -388, -629, -952?\n\"Answer: -2*l**3 + l**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 7. Let c be n(-1). Suppose 278 = c*m - 572. Calculate the greatest common divisor of m and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35) - sqrt(105)\/sqrt(3))*-4)\/(sqrt(28) + (sqrt(84)\/sqrt(3) - sqrt(28))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/(-60) - (-6)\/(-15). Let w(j) be the first derivative of u*j**4 + 1\/2*j - 2 - 1\/3*j**3 + 1\/10*j**5 - 1\/4*j**2 - 1\/12*j**6. Factor w(q).\nAnswer: -(q - 1)**3*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k + 14. Let t = k - -19. Calculate the remainder when 64 is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 4*i - 225.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -b406 (base 15) to base 3\nAnswer: -1221011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1115 + 150112?\nAnswer: 145664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3350 and -22\/270345.\nAnswer: 2703450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -93*n + 116*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.512? (a) -15 (b) 0.4 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 57, 68, 77, 84, 89, 92?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**8\/420 + i**5\/30 + 2*i**3\/3 - i. Let c(m) be the second derivative of h(m). Find the second derivative of c(b) wrt b.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2042 is divided by 1030.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 448651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 3 + -1 + (-6 - (0 + -2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/126 - (-106)\/(-14). Let v = y - -55. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(30\/8)*(108885\/(-5474))\/(-61).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81206 or -81153?\nAnswer: -81153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 26 = -74. Let n = c + 29. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 - 150. Let f = n - 189. Solve 16 = -4*u + 4*q, -f*u - 3*q = -2*q + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -40327085497790.\nAnswer: -40327085497790.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 11:06 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/9 - 716*z**4\/9 - 1948*z**3\/3 - 4472*z**2\/9 + 29330*z\/9 - 6100\/3 = 0?\nAnswer: -5, 1, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -40.7. Let j = 107 - w. Let q = -71 + j. Which is the smallest value? (a) q (b) 5 (c) 3\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 15*g**2 - 38*g - 21. Let x be w(-12). Sort 4, -3, x, -4 in ascending order.\nAnswer: -4, -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 49*g + 418. Let l be o(-38). What is the fourth smallest value in 3, l, -1.19, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 35*r + 36*r - 16, -21*o = 7*o - 2*r + 500 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 45 = -5*z, -3*z + 3 = q - z. What is the greatest common factor of q and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292333 is divided by 830.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -34*u**2 - 20*u - 4. Let t(i) = 7*i**2 + 4*i + 1. Calculate -14*t(r) - 3*v(r).\nAnswer: 4*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = o - 5*t, 2*o - 2*t = -0 - 2. Suppose y - o*y = 2*n - 658, -2*n - 2*y + 658 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 0*n**3 + 7\/24*n**4 + 0*n - 8 + 5*n**2. Let z(c) be the second derivative of j(c). Let a(i) = i. Determine a(z(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g**2 - 5*g + 24. Let m(o) = 11*o**2 - 4*o + 24. Let i(l) = 5*m(l) - 4*u(l). Differentiate i(s) with respect to s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 140 + 114*c**3 + 0*c - 7*c**3.\nAnswer: 107*c**3 + 3*c + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(14\/90)*2\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 - 4. Let k be ((-20)\/105)\/(4\/(-6)). What is the biggest value in k, w, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*r + 6 + 2 = 0, 3*u - 4 = -r. Suppose 3*d + u*d + 3*n - 39 = 0, -n + 1 = 0. Calculate the smallest common multiple of 22 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1222, -1195, -1152, -1093, -1018, -927?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 80. Suppose 17*v = 22*v - w. Let z = 3 + v. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnojojnoojj. Give prob of sequence njj.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 244 = 3*h, 0*h + h + 5*n - 70 = 0. Differentiate 2*a**4 + 0*a**4 - h*a - 281 + 332 wrt a.\nAnswer: 8*a**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -32, -53, -74, -95, -116?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -1233, 3\/2, 1\/121, 0.4, -2\/77, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 119137 + 262405 - 131253)*(0*j**2 + j**2 + 0*j**2) to v*j + l*j**3 + r + p*j**2 and give p.\nAnswer: 12015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15.5*0.02\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -343 + 580. Let v be (24\/15)\/(-2 + f\/120). Let j = 63 - v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9195 (base 10) in base 4?\nAnswer: -2033223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 1529170?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 0*u**3 + 2*u**3 + 0*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 5*u + 90. Let v(h) = -2*h + 18. Let i be v(10). Is 8 a factor of u\/i + 2\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 18*z - 550. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*l + 4*x, -3 = -4*l - 11*x + 8*x. Solve -2 = l*t + 2*a, 4*a + a - 8 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -43*j**2 + 3866*j - 17898. Calculate l(85).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -285 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2)\/i)**(-6) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i + 7. Let v(t) = -t**3 - 4*t**2 + 5*t. Let k be v(-5). Let u(o) = -o - 6*o - 6 + 2*o + k*o. Let j be 2 - 0 - (8 - 0). Calculate j*q(z) - 7*u(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8456 - -13602. Calculate the remainder when g is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7423\/9 or 826?\nAnswer: 7423\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116 - 1311*k - 1121 - 626*k.\nAnswer: -1937*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 10. Suppose 2*j - 40 = -3*j. Let z(g) = 13 - 9 - 10*g + g**2 + 3 + 4. Let v be z(j). Give y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10 and 25\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 34*s + 96. Let t be m(-7). What is the closest to 0.2 in t, 2\/5, -34?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 612795?\nAnswer: -306397.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1984, 2 in increasing order.\nAnswer: -4, -1, 2, 1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 4)*(-w - 15*w - 86*w) as q + f*w and give f.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300728 divided by -216788?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*g + 2*a + 13, g = -5*a + 24. Suppose 0 = 13*w - g*w + 539100. What is w rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -43161.74?\nAnswer: 47477.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 7*o - 75. Let y = -25705 + 25691. Calculate x(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 27293 + 27348 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569710316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4092480 divided by 203?\nAnswer: -20160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1800)\/480)\/((15\/40)\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/(4*(-9)\/(-882))*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 280\/(-112) + (-4)\/2 + 5. Let m(g) be the second derivative of 0 - k*g**3 + 0*g**2 + 0*g**4 + 7\/20*g**5 + 8*g. Find the second derivative of m(a) wrt a.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 62*w + 14. Calculate the remainder when 865 is divided by u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + 0 - (1 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9799 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/(2\/(-24)). Suppose -3*s - f = 14. Let z = s - -16. What is the highest common divisor of 50 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034733 rounded to five dps?\nAnswer: 0.00347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 + 5317 = -16*z + 148*z for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3, -283?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:58 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 + -2 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a90 - -5?\nAnswer: -6a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -8*a**3\/3 + 20. Let c(u) = -3*u**2 - 9075 + 9075. What is c(f(d))?\nAnswer: -192*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 7 - 13. Suppose -l*r - 1 = -13. Sort 4, r, 0 in ascending order.\nAnswer: 0, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257629398 to the power of 1\/3, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 36618?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 - 5*b + 2. What is s(3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2437358, -4874822, -7312286, -9749750, -12187214?\nAnswer: -14624678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 65*z**2 + 32*z - 12. Let v be l(-33). Solve 11*d - v - 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453913219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -11 in descending order.\nAnswer: 9, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (63\/(-2))\/((-1)\/(-2)). Let x = n - -80. Solve 3*s + l = 4*l + 21, -3*s + l = -x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) 17 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19035\/329 - 58 - 8\/(-14). Suppose g*q**5 + 48\/7*q**2 - 48\/7*q - 12\/7*q**4 + 0*q**3 + 0 = 0. Calculate q.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -36, -54*g + 4*o - 27 = -53*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1232)\/56 - 2256\/(-102)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 2082*y**2 + 722454*y - 83563846.\nAnswer: 2*(y - 347)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -220353?\nAnswer: 220346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from yyyyyffyfyfyyyyyfyyy?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.8847 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536546 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-10)*30\/9. Let p(g) = -3 - 1 + 8*g + 0. Does 23 divide p(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9297 = -38*d + 1419. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-12))\/(2850\/(-2736))*(-55)\/(2\/2)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.78, 2, -25, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304055250 (base 6) to base 10.\nAnswer: -5233134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p + z - 4 = 0, -2*p + 3*z - 7 = 0. Suppose 2*a + m = 5, 4*m = 3*m - p. Solve -u - a*u + 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-3\/7))**(6\/17)*(i**(-8)*i)\/((i*i**19)\/i) assuming i is positive.\nAnswer: i**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475372 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u**2 - 5*u - 12. Is 24 a factor of l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1611 in increasing order.\nAnswer: -3, 0, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 72. Suppose -49*b = -54*b - 160. What is the remainder when 333 is divided by g(b)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -67*f + 1. Let h be r(-1). Suppose -453 = -4*j - 2*v - 105, 0 = 5*j + v - 432. Let m = j + h. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1401527\/8 - 175643. Let u = w - -453. Calculate the common denominator of u and 4\/10 - 82\/80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 290 = -2*v - 10 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 74*d**2 + 4*d + 1. Let j = 620 - 618. Is t(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*t - 2*y, -8*t = -13*t + 2*t - 14*y - 67 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2658093491 plus -19.1?\nAnswer: -2658093510.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, -200, -543, -1016?\n\"Answer: -65*q**2 - 18*q + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + r = -r - 273, -5*j - 2*r = -1305. Let t = -2891\/11 + j. Put t, -3, -2\/3, -2 in decreasing order.\nAnswer: t, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5156, -10332, -15560, -20840, -26172, -31556, -36992?\n\"Answer: -26*o**2 - 5098*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, -176, 5 in decreasing order.\nAnswer: 18, 5, -1, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196975016?\nAnswer: 2, 7, 71, 107, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -9622.70075.\nAnswer: -9627.70075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2050.3 + 2050. What is the nearest to -2 in p, -1\/4, 2\/5, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5005*k - 35015. Give j(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiss when four letters picked without replacement from {e: 4, s: 4, i: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, 19, 110, 293, 598, 1055, 1694?\n\"Answer: 5*i**3 + i**2 - 9*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194382644.\nAnswer: 2, 127, 382643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*w + 73*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154059*g - 308114*g + 4187 + 154060*g.\nAnswer: 5*g + 4187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/34 and 93\/55341158?\nAnswer: 940799686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/16 and 3\/15230.\nAnswer: 121840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 9) in base 13?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**6\/60 + q**5\/6 - 2*q**4\/3 - 4*q**3 + 12*q**2 - 3*q + 19. Let l(u) be the second derivative of n(u). Solve l(m) = 0 for m.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62122618?\nAnswer: 2, 31061309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - 18837\/(-207) - ((-2188)\/(-182) - -1).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i + (2 + 2 + 0)*(-i - 3*i + 0*i))*(-2 + 3*i + 2).\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87548633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dffd when four letters picked without replacement from ddfdfdd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n*n\/n**(-1))\/n)*n)\/(n*n**(-1\/3)))\/(n*n**(1\/4))**(-8\/7) assuming n is positive.\nAnswer: n**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6719.7 - -6720. Which is the nearest to 0? (a) -3 (b) k (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000701671 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 21, 3, -2, 4.\nAnswer: -11, -2, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -72\/12389?\nAnswer: -72\/12389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2592422926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmocoooooozooozohoo. What is prob of picking 1 z, 1 h, and 1 m?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/1)\/(1\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:41 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7036637.\nAnswer: 7036637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/(6 + (-451)\/77). Let o(p) = 9 - 2*p**2 + 3*p + 8*p**2 + p**3 + 2*p**2 + 5*p. What is o(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/6*33\/121. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2126, 5862, 23970, 52198, 90546?\nAnswer: 139014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6630627064 to the nearest 1000000.\nAnswer: 6631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:45 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1313, 910, 3133, 5356, 7579?\n\"Answer: 2223*n - 3536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/28)\/(484\/308)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 + c + 1. Let x be u(-2). Suppose -6*v + 4*s = -2*v, 0 = 4*v - 5*s - 1. Let t = 3 + v. Solve -t*a - 3 = x, 5*a - 5 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20012221102122?\nAnswer: 20012221102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)*u**(-13\/3))\/((u*u\/(u*u\/u**(-15\/8)*u*u*u))\/((u**(9\/2)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(275\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1962*j - 39 = 1961*j for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 17*j**2 - 38*j - 36. What is the lowest common multiple of a(-15) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2058 (b) 0.3 (c) -1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 187. Suppose -b + s = 12. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 66616124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 134.5303us?\nAnswer: 0.0001345303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -l - 5*u, -u = -4*l - 3*u + 10. Let m be 6*(3\/2)\/l. Let q be 585\/189 - 10\/105. Solve p + q = -g + 4, p = g - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((0 - (4 - -1)) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-54 + (4 - (24 - 16))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-3))\/((-4)\/6). Let t = 12 - f. Let o = -3 + t. Calculate the smallest common multiple of o and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/(-75) + (-2)\/3. Let n = 8 + 40. Let h = n - 50. What is the biggest value in 0.5, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247828*z - 540 - 1140 = 247870*z for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2068, 2067, 2066, 2065?\n\"Answer: -w + 2069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 113?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 - b**3 - 12*b**2 - 3*b + 0*b**3 - 4*b**2 + 18*b**2 + 2 in the form d*b + p*b**4 + f*b**2 + z + g*b**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98 + (-2 - (-1 + 2)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {s: 2, k: 1, q: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18601421*f**2 - 45493*f - 2 wrt f.\nAnswer: -37202842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17886977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 9. Let w = 34 - 22. Let d be s(w). Suppose -4*l - j = 4*j - 15, j - d = l. Solve -3*p - 3*b = -l*b + 6, -b = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1172, 9368, 31616, 74942, 146372, 252932, 401648?\n\"Answer: 1171*k**3 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -57*y + 5. Calculate l(2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 31*i**2 - 3*i - 2. Let t be m(-1). Calculate the highest common factor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 377 - 254. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64562 + 94103. What are the prime factors of m?\nAnswer: 3, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108))\/sqrt(4).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 18. Let t = b - 11.05. What is the biggest value in 5\/2, -4, t?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/31 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millennium in decades?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**5 - 2*f**4 - f**3 + 2*f. Let s(t) = -31*t**5 - 4*t**4 - 2*t**3 + 5*t + 281. Let q(j) = -2*h(j) + s(j). Find the second derivative of q(m) wrt m.\nAnswer: -580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/420 + 7*n**6\/180 - n**5\/60 - 7*n**4\/12 - 14*n**3\/3 - 23*n**2. Let s(a) be the first derivative of p(a). Factor s(g).\nAnswer: 2*(g - 1)*(g + 1)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-48)*560\/30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*w + 69*a**3 + 4*a**2*w + 6*w + 31 with respect to a.\nAnswer: 3*a**2*w + 207*a**2 + 8*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 190*b**2\/3 + 24844*b\/3 - 10384 = 0.\nAnswer: -132, 118\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/15190 - 1037259\/15190. Let t = 68 + y. What is the nearest to 0.1 in 0.4, -5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/12 + -3 + 187\/66. Let s(f) = -2*f + 1. Let d be s(-2). Solve -g*q + 2*q + d*k - 2 = 0, -4*q = 2*k - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((0 + 10 - 8) + 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*a - 10, -2*l - 2*a + 7*a = -13. Suppose 2*j - 392 = -l*y, 4*j - 3*y = 2*j + 399. Calculate the remainder when j is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 15*y**2 + 18*y + 8. Let g be q(-16). Let j(n) = n**2 + 8*n + 57. Let u be j(g). What is the highest common divisor of u and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 9) + 8 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 0.11. Let i = -56 - -225\/4. What is the third biggest value in i, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599097573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 - 10 = 0. What is the second derivative of 25*x**4 - 25*x**v + x + 0*x - 6*x**5 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011011 (base 2) in base 5?\nAnswer: -14204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2522 or 0?\nAnswer: 3\/2522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/(-2) - 2)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - q + 2*q - 4*q. Suppose g - 8 = -g. Let n(m) = -6*m - g*m + 4*m + 0*m. Give c(n(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t + 45. Let z be 38\/(-90) + (-2)\/t. Which is the smallest value? (a) -5 (b) 5\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2385 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116.61 + 113.61. What is the fourth smallest value in u, -0.3, 4, -1\/6, -132?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -36. Let g be (-6)\/m + 4\/(-35). Let j = -77.9 - -78. Which is the nearest to j? (a) g (b) 3\/5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483753437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, 5, 0.17, 2, 400\/3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39754, 5, -6, -2, 4, -20.\nAnswer: -39754, -20, -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12848089259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13671?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(12)\/sqrt(6))**2 - sqrt(2)) + (1 + sqrt(2) - sqrt(2))*6 - (2 + (1*sqrt(14))\/sqrt(7) + 5).\nAnswer: -3 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2392*r**2 + 7166*r**2 - 2391*r**2 - 2385*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*r + 336, 4 = 3*r - 5*r. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 64. Suppose 64 = 34*x - s*x. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/((-4)\/(-54) + 2759\/(-3348)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.562823103 to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**2 + 167282 - 2*m - 167282 in the form y + h*m + z*m**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 1038*f**2 + 71567*f - 1082730.\nAnswer: (f - 965)*(f - 51)*(f - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 + 2*l - 80. Let x be w(-8). Let g = 16 - x. Are g and -59\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24065402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/12 - 4)\/((-1)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0273, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 371\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-288))\/(3\/54)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 55*f + 684.\nAnswer: (f + 19)*(f + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)*q**(-4\/5)*q assuming q is positive.\nAnswer: q**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 7*m**2 + 2*m - 2. Calculate g(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30878\/3 + 10293. Which is the nearest to 475? (a) 4 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/3, 0.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, 113, 169, 223, 275, 325?\n\"Answer: -a**2 + 61*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ca - -4?\nAnswer: 1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from {w: 2, o: 4, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -28*a**3 - 5*a**2 - 45*a - 125. Give j(-3).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b + 1. Let l(c) = -18*c - 2. Determine 3*j(a) + 2*l(a).\nAnswer: 9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -29*m - 156, -10*l + 7*l + 0*l + 4*m = 4*m + 3*m - 18 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a - 26 + 15 + a. Let g(r) = 6*r + 6. Let l(b) = -5*g(b) - 3*q(b). What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 23*p**2 - 6240*p - 85588. What is i(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = -38. Suppose 10 = d*x - 6*x. Suppose -x*p + 8*p = 1506. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044217713 to 5 decimal places.\nAnswer: -0.00442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 23*n**2\/4 + 44*n + 112.\nAnswer: (n + 7)*(n + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 3*w**2 + 4*w**2)*(-23 + 23 + 6*w**2) + (-3*w**2 - w**3 + 3*w**2)*(w + 4 - 4).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 582, 1284, 2300, 3636, 5298, 7292?\nAnswer: 9624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -234 + -1601?\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 94996, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 48. Let t = u - -29. What is the remainder when t is divided by (-2)\/(-7) - 52\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/36)\/(6\/(-9)*2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2. Let u(f) be the second derivative of 1\/6*f**3 - 2*f + 0*f**2 + 0. What is r(u(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3767717.7 microseconds to days.\nAnswer: 0.00004360784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 3*t**2 - 4*t)*(-4*t - 1 + 3 - 1).\nAnswer: 12*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**4 - 2*a**3 - a**2. Suppose -32 = 4*w + 4*w. Let n(m) = 57*m**3 + 65*m**2 - 188*m + 72. Let o(f) = w*n(f) + 36*u(f). Factor o(b).\nAnswer: 4*(b - 9)*(b + 2)*(3*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 83257*m**2 - 11*m + 10*m + 1097*m**3 + 46*m**3 - 83255*m**2 to the form s + x*m**4 + f*m**2 + a*m**3 + q*m and give a.\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -39, -26, 45, 204, 481, 906?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10791 + -10548. Calculate the remainder when 525 is divided by z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 - 3*n**2 - 5*n + 3. Is p(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*t + 2, 5*t - 2 = -2*g + 3. Suppose -t = -q + 3*o - 12, 4*o - 40 = -5*q. Suppose -x + 5*x - 3*h = 356, -q*h = 3*x - 292. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) + -5*sqrt(833)*3 - (-4*(sqrt(833) + 0) - (sqrt(833) + (sqrt(833) + sqrt(833)*2)*-1)))**2.\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 103*h. Let l(g) = -3*g. What is l(u(j))?\nAnswer: 6*j**2 + 309*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257453?\nAnswer: 3, 31, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12116 - 12116 + u. Let q(h) = -h - 2. Let j(a) = -3*a - 5. Let o(x) = 2*j(x) - 5*q(x). Let s(y) = -5*y. Let r(i) = 14*o(i) - 2*s(i). Give l(r(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**4 - 14*h**2 - 2*h. Let q(m) = -11*m**4 + 14*m**2 + 3*m. Let w(a) = 3*g(a) + 2*q(a). What is the third derivative of w(c) wrt c?\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91.208 + 0.208. Let x = b + 3. Let a = x - -87.99792. What is a rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/261)\/(4\/(36\/15))*3\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-296)\/3*4\/((-8)\/6). Let i = 613 - t. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 2*z**2 + 2*z**2 + (4*z - 3*z + 3*z)*(z + z + 0*z) + 3*z + 2*z**2 - 3*z - 7*z**2 + 10*z**2 - 6*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 500045 divided by 245?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103068143 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -291\/7 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 10, 39\/38, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100012241 - 140?\nAnswer: -100012431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from -1351764.\nAnswer: -1351746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/264*(-528)\/(-96).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -2\/3*v**3 - 5*v - 70 - 26*v**2. Find the first derivative of z(k) wrt k.\nAnswer: -4*k - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 2*i - 1. Let d be a(1). Suppose -4*y = -2*j - 50, -4*j + 44 = d*y + y. Let c = 85 + -82. Calculate the greatest common factor of c and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20098 is divided by 306?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 1\/3*f**3 - 4*f**2 + 23\/20*f**5 - 5\/24*f**4 - 9*f + 0. Find the second derivative of x(z) wrt z.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1982362, -1982369, -1982378, -1982389, -1982402, -1982417?\nAnswer: -1982434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**8\/504 + s**7\/105 + 23*s**6\/180 + 11*s**5\/30 + 7*s**4\/18 - 330*s**2. Suppose t(z) = 0. What is z?\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -615*s. Let h be a(1). Let k = -168 - h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 6)*1\/1. Find the third derivative of 8*t**2 - 6*t**3 + w*t**2 - 2*t**2 wrt t.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 32, 132.8, 1, 2\/3.\nAnswer: -4\/5, 2\/3, 1, 32, 132.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 69, 0, -26222 in increasing order.\nAnswer: -26222, 0, 1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2628, -5252, -7870, -10476, -13064?\nAnswer: -15628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(565\/195 + -3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**4\/24 + 2*d**3 - 147*d**2. Determine b(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 1:23 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 65?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbvbxbqqcqbccc. Give prob of picking 2 c, 1 q, and 1 v.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 35191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3226 + 1003341?\nAnswer: 1006600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2071112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15826, -15794, -15764, -15736, -15710?\n\"Answer: -k**2 + 35*k - 15860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-32)\/624)\/(-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2057) + sqrt(2057)*-1 + -3)*-1 - (2 + (sqrt(2057)*-2 + sqrt(2057) - sqrt(2057)) + 1 + -3)**2) + 5.\nAnswer: -8241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.9999784 + -71. Round j to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x + 64 = 64*x. Let f(y) = y**2 - 9*y - 94. What is the remainder when f(x) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i + 48 + 52 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301797 - 3*y**3 - 301682 + 603572 + 8*y**2 to i*y**3 + r*y + g*y**2 + q and give q.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z**3 - 21*z**2 - 3*z - 6. Let x(g) = g**3 - 2*g**2 - 1. Let p(s) = l(s) - 9*x(s). What is b in p(b) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2. Let q(j) = -1044738*j. What is a(q(u))?\nAnswer: -4365909954576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:42 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 99 = 25*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.085 + 0.068. Let k = -0.183 + o. Suppose b + 1 = 0, 0 = -m + 3*b - 4*b + 3. Sort k, 1\/2, m.\nAnswer: k, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {x: 1, q: 4, c: 9}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.624 + 14.624. Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4121453, 4121456, 4121459?\n\"Answer: 3*y + 4121450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(2 + 0))\/((-36)\/(-54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 3*y - 2. Let t be z(2). Let m = -11 + 7. Which is the second biggest value? (a) t (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55942 is divided by 296.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491.15 - -9.45. Let r = -657 + z. Round r to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3547*a + 2 - 2.\nAnswer: 3547*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 25410000 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 2. Let c(z) = -6*z - 3. What is -2*c(y) + 3*v(y)?\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0103132 to 5 decimal places.\nAnswer: 0.01031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/17)*r**(-9\/5))**(-12\/7) assuming r is positive.\nAnswer: r**(1776\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1548323456 divided by 4.\nAnswer: 387080864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 17*u - 12 = 0. Suppose -4*j + 6 = 2*w - u*w, 5*j = 2*w + 7. Solve -j = -h - d - 2*d, 19 = 4*h - 3*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (37 - 15) - 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 - 206*m + 50*m + m**3 - 28*m**2 + 22*m to the form w*m**3 + q*m + r*m**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -321, 4.017, -0.5, 2\/9, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {h: 1, i: 4, s: 5, x: 4, p: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 5. Let d be a(-7). Let u(w) = w**3 + 8*w**2 - 11*w + 12. Let x be u(d). What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/54895?\nAnswer: -2\/54895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 29*b**2 - 18*b + 55. Let u be r(15). Solve -88*a + u = -90*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 4:05 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3184, 5473, 7762, 10051?\n\"Answer: 2289*z + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 - -7) - -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*l + 1616 = 278, -3*h = -2*l + 2047. Let o = -470 - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 38.2941.\nAnswer: 37.8941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k + 153*k - 2987 = 0. Solve 4*c + 198 = -k*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5 + 3*a - 15 - 4. Let d be k(7). Let l(o) = o**3 + 4*o**2 - 7*o - 7. Let t be l(-5). Solve -t*c - 14 = 2*r - d*c, -5*c = -2*r - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 - 94. Which is the second smallest value? (a) 0 (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/6 - 2*q**3\/3 - 2*q**2 - 6*q. What is y(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let x(u) be the second derivative of u**3 - u**2 + 6*u. What is the least common multiple of x(s) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 26. Suppose 5*f - 3*s - 437 = 0, 4*f - 283 = k*s + 69. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1.39169987?\nAnswer: -0.417509961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 25 + 13 = 0. What is the remainder when (6 + -463)\/((n - -1) + 0) is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1 - (-8 - -8)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -260a5?\nAnswer: 260a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 12*h + 10. Determine b(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/110)\/(1*(-2)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 + l - 4. Let u be g(4). Suppose 3*z - 16 - 2 = 0. Solve -z*v + v - 20 = u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2992*v = -2966*v + 182 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/1309 and -25\/68.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {u: 3, n: 13}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4730851 = 5*j + 6269149. Round j to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008040692 to five decimal places.\nAnswer: 0.00804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 44, 39, 30, 17, 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 735c0 (base 14) in base 5?\nAnswer: 32401132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1557 + -2901. Let a be (f\/(-78))\/7 - -4. Are 5 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.8 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y\/y**3)\/y*y*y*y*y**(-32) assuming y is positive.\nAnswer: y**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 696*o - 2044. Let y be q(3). Sort -14, -4, y, -5 in increasing order.\nAnswer: -14, -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-9\/7))\/(o\/((o**(-1\/8)*o)\/o*o))*(o\/o**(-2\/23))**(7\/11))**(1\/5) assuming o is positive.\nAnswer: o**(3981\/70840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*m - 20 = 3*m, -4*s - 4*m = 0. Suppose -2*k = k - 10*k. Solve s*n + k = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83.7704 + -479.2006. Let v = i + 563. What is the third smallest value in -1, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2255 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-6)\/9)\/((-2)\/24). Solve 7 + 2 = -m - 2*a, 0 = -m - f*a - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-1) + (-11 - -5). Solve 0 - 1\/8*o**i + o = 0 for o.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206402030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -259*j**2*l*r**2 + 2*j**2*l - 2*j**2 + 13*j*l + l*r - r**3 wrt r?\nAnswer: -518*j**2*l*r + l - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203.5 - 204. Which is the nearest to 48? (a) 0.2 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 + 2*z**2 - z - 1. Let r be (-2)\/3 + (-39)\/9. Let u be s(r). Solve -3*n + 2*n - u = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13071 - 13066. What is the fifth biggest value in 3\/5, -5, -5\/6, n, 21\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63.144 + -0.144. Let o = n - 31. Let a = o + -31.99999979. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12434167?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 36226631?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 146*n + 148925 + 134310 - 271509 for n.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 183103 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 549\/81 + 315404\/36 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1\/2*p**4 + 2*p**2 - 2 - 2*p**3 - 4*p. Let g(n) = -6*n**3 + 17*n**2 - 11*n + 11. Let i(q) = 4*g(q) + 11*l(q). Factor i(u).\nAnswer: -2*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 899248, 1798492, 2697734, 3596974, 4496212?\nAnswer: 5395448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 203*u - 639*u - 2*u**3 + 3 as o*u + i*u**3 + x + r*u**2 and give o.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*h - 2177 = 0, 3*j + 2*h + 1904 - 5122 = 0. Let d = j - 11826\/11. Let a = -1214 - -3577\/3. What is the common denominator of a and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -1)*-3 - sqrt(1573))**2.\nAnswer: -264*sqrt(13) + 25177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.38?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a + 4. Calculate the remainder when 24 - 2*(3 + a) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let w be (1\/m)\/((-1)\/(-4)). Let u be 10\/8*w\/(-10). Is u < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4328591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 3. Let y be g(2). Suppose 2*a = 9 - 3. Let x(q) = -q + 4*q + 2*q**2 + 11 - q**a - 10. Calculate x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37515*b**3 + 2*b - 2*b - 104615 + 209230 - 104615 + (3*b**3 + 3*b**3 - 7*b**3)*(1 + 0 + 0).\nAnswer: -37516*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11 = 3*n + 3*i, -28 = -4*n - 4*i. Suppose -x + 3*o + n = 0, 4*x + 4*o - 48 = 3*o. Suppose -x = -5*b - 2. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 894 - 895. Is 9 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.5 - -26. Let t = 2.8 - 3. Let l = t + 0. Put -4\/5, l, v in descending order.\nAnswer: l, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -91*l - 581. What is the remainder when 447 is divided by a(-7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhjtskh. Give prob of sequence tdk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 3*f**2 + 7143*f**3 - f**2.\nAnswer: 7143*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4337*c**3*q**3 - 500*c**3*q**2 - 17429*c**2*q**2 + 290*q**3 wrt q.\nAnswer: -26022*c**3 + 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.01 - 0.01. Let t = 8.3 - 7.8. What is the third biggest value in 11, d, 2\/17, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let p(i) = 13*i + 9. Let q(k) = 7*k + 4. Let o(a) = -4*p(a) + 9*q(a). Calculate o(l(v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:55 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/(-4)*9\/(-18) - (-567)\/1512?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(-2)\/((-16)\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 15*m**4\/4 + 10*m - 11. What is the first derivative of x(a) wrt a?\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.5, -77, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*m - 48, 5*m - 35 - 57 = -3*w. What is the greatest common factor of 152 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 367. Let p be r(35). Which is smaller: -298 or p?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 - 11*r + 5. Let x be u(7). Calculate the common denominator of 47\/2 and (-3)\/9 + 412\/x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: a46a (base 14) to base 7\nAnswer: 145363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-6)\/(-2)) + 0. Let s be (4 - r)\/((-9)\/(-15)). Solve 8 = s*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) 17 (d) -0.559 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -86756 smaller than -3\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0 (base 13) in base 6?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 5*x - 3. Suppose -4*u = i - 17, 10 = -u + 3*i - 2. Let s be (54\/(-8))\/(234\/624). Let q be (s\/6)\/(u\/4) - 1. Calculate c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 5*b - 40. Let f be (-24)\/(-30)*b\/(-2). Suppose 5*o - f*x - 184 - 57 = 0, 3*x + 102 = 2*o. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39208\/1077 >= 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 129.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 1.43. Let q = -0.4 + w. Let i = -0.5 + 0.3. What is the closest to i in 2\/9, 2\/7, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 6*o = -y + 4, -2*o + 4 = 2*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/1)\/(-5)*56\/8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/29215143 and 121\/12.\nAnswer: 116860572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10587?\nAnswer: 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 64.2. Let p = 4.2 - w. Put -1.4, 0.2, p in descending order.\nAnswer: p, 0.2, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 23 + 7*o**3 - 4*o - 20 + 9*o**2 + 14. Let w(n) = 3*n**3 + 4*n**2 - 2*n + 8. Determine -9*w(v) + 4*x(v).\nAnswer: v**3 + 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and 575\/(-80) - (-1 + -1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14802 - 14805. Suppose -2*s - 3 = 9. Is s greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 143. Let r(v) = -2*v**3 - 3*v**2 + 4*v + 7. Let x be r(-3). What is the greatest common factor of c and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43.6 and -33823667679.\nAnswer: -33823667722.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 19. Suppose l*q - 6 = -2*q. What is the second derivative of -q*z**3 + 3*z**2 - 3*z**3 + 2*z - 3*z**2 wrt z?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 + 2*s**2 - s. Let t be r(1). Suppose -k - 2*a + a = -2, -10 = -2*k + 4*a. Suppose 0 = -910*v + 17555 - 19375. Put v, k, t in ascending order.\nAnswer: v, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214 - -1426. What is the highest common divisor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**25*(c*(c*(c\/(c\/(c*c*c\/(c*(c\/c**0)\/c*c*c*c*c))*c))\/c*c)\/c*c*c)**(3\/49) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.8664054 rounded to 2 dps?\nAnswer: -68.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -b4 (base 15) to base 5\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.99 + 0.49. Let u = 16 + -15.99. Let f = u + 0.19. Which is the closest to 0.1? (a) 2\/11 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38079095, 76158186, 114237263, 152316320, 190395351, 228474350?\nAnswer: 266553311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*v - 8488 = 93*v - 2196 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -9 - 11 - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 17 - 0. Suppose g - r + 5 = 0. What is the greatest common divisor of g and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*p**3 + 116*p**3 - 55*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 512 + -1252. Find the common denominator of 2 - (1 - 9\/(-14)) and (v\/30)\/((-88)\/6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 82, 90, 80, 46?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 7*u + 1. Let k be l(7). Let g be 0\/k + (0 - -5). Suppose 0 = 4*x - v - v - 42, 0 = g*x + 4*v - 72. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392807.\nAnswer: 392807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669908 - 664158 = -115*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, c: 3, j: 2}. Give prob of sequence cc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:38 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -754 - -758. Solve 3*v + 3*f = 0, -v + 2*v + s*f = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = 6. Let y(j) = 3*j**2 + 3*j**2 + 6*j + 3 + 0*j**x - 5*j**2. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -885 - -888. Let f(j) be the first derivative of 1\/3*j**k - 6 + 0*j**2 + 0*j. Let l(a) = -2*a**2. Determine f(l(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -46347224.3826.\nAnswer: -46347226.3826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02965 less than 0.313114996?\nAnswer: 0.283464996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 4:11 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 1)*(2*a - 6*a + 2*a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (513\/4)\/9*(-56)\/42?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -954 = -7*l - 247. Let s(g) = -200*g - 8*g**2 + l*g + 99*g. Let q(b) = -7*b**2. Give q(s(u)).\nAnswer: -448*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1516535571 or 1516535570?\nAnswer: 1516535570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-498732)\/(-1807)*(-8)\/24.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2686 and 306.\nAnswer: 24174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 31*n + 256. What is t(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -83995 (base 10) to base 13\nAnswer: -2c302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 17*d - 47. What is t(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/1131, -0.35, -0.053 in decreasing order.\nAnswer: 8\/1131, -0.053, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2040c - -2?\nAnswer: -2040a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s + 25. Let b = -1 - -3. Let c(j) = j - 8. Let o(g) = b*h(g) + 7*c(g). Suppose 38*w - 21*w + 85 = 0. Calculate o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {b: 1, z: 1, t: 1, l: 3, r: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 1. Let f(c) = 1. Suppose -15 = -5*q - 0*q. Let l(p) = q*f(p) - 2*y(p). Calculate l(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52321 is divided by 13077?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m + 0*m - 22*m + (2*m - 3*m + 3*m)*(0 + 2 - 1))*(2*m**2 - 2*m**2 - 2*m**3 + (1 + 3 - 8)*(m - 2*m**3 - m)).\nAnswer: -198*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 93.48507t?\nAnswer: 93485070000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*(-3)\/(-2). Suppose -t - 13 = -2*x, 4 = -3*t + 2*x - 27. Let z = 12 + t. Solve -z*b + 4 = u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -14 + 11 - 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97096080 and 2280.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65340581 * -0.5.\nAnswer: 32670290.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8287*k**4 - k**3 - 5146*k.\nAnswer: -99444*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b*o**5 + 705863*b*o**3 - 4886701*b*o**2 - b*o wrt o.\nAnswer: -300*b*o**2 + 4235178*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -3*t - 20 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(52\/26*(-6)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 17*l**2 - 6*l - 9. Determine g(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 18900.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 100*y + 375.\nAnswer: 5*(y - 15)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 20. Suppose 0 = -q*j - 0 + 48. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + 2*m**5 - m**5 + (3*m**2 + 2*m**2 - 4*m**2)*(0*m + 0*m + m**3) + 10*m**5 + 2*m**5 - m**5.\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z + 7. Let y be p(6). Suppose -262*t + 312 = -275*t. Let m = t + y. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/((-1*sqrt(6))\/sqrt(2)) - (-2 + (2 + sqrt(2))*2))*-2.\nAnswer: 4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167 and -144269143?\nAnswer: 144269310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 18, 13, -2?\n\"Answer: -5*r**2 + 20*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 237*s**2 - 237*s**2 + 112*s**3 + (-1 - 4 + 6)*(99*s**3 - 230*s**3 + 101*s**3) as a*s**3 + p + b*s**2 + r*s and give a.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-8)*198\/(-330))\/((-3)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83\/72 - -7\/9. What is the closest to -2 in -3, 1\/3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776836913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1892044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/5)\/((-2)\/(-25)). Suppose -2*v = 4*l - 36, -g = 3*v - 8*v - 5*l. Calculate the greatest common divisor of v and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27137 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)*-3 + 4*sqrt(882))\/((sqrt(6) - (sqrt(6) - (sqrt(150)*-2 - sqrt(150)))) + sqrt(6) - sqrt(6) - sqrt(30)\/(sqrt(20)\/sqrt(4))).\nAnswer: -11*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1161, -4668, -10523, -18726, -29277?\n\"Answer: -1174*o**2 + 15*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 5 - (-4 + 5)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - -11) + 47 + (5 - (6 + 6))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(13\/91).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*h - 3 - 12 = 0, -3*h = -3*v - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) + 2) + 0.\nAnswer: -10 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -15.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 4*c + 5*f - 20, -3*c - 5*f = -20. Suppose 0 = -c*p + 6*p + 24. Sort 1, 10, p in ascending order.\nAnswer: p, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/3, 13, -3.2, 43 in increasing order.\nAnswer: -11\/3, -3.2, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484 a factor of 3573520346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-3*f + 0*f - 12 + 11).\nAnswer: -6*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2276425 (base 8) to base 15\nAnswer: c43b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a*l + 13537*a + 739438*l wrt a?\nAnswer: -6*l + 13537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 477195602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 460 divided by 115\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -66, -69, -90, -135, -210, -321, -474?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*t + 9 = -3*m, 4*t + 20 = 0. Suppose -2*k + 0*w = w - 3, 3*k - m*w = 0. Let d = 187.6 - 188. Which is the closest to k? (a) -2 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24799, 99195, 223189, 396781, 619971?\n\"Answer: 24799*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 614\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-934)*(2 + 6). Let g = 1506681070361\/3736 - 403287219. Let v = g + t. Calculate the common denominator of 133\/12 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2208 and 79200.\nAnswer: 1821600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*n**2 - 38*n**2 + 0*n**3 - 8*n**3 - 43*n**2.\nAnswer: -8*n**3 - 44*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -121625 divided by 139\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(1\/2)))**(-32)*t**(-3\/2)\/t**(-6\/13) assuming t is positive.\nAnswer: t**(-443\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41780, 41743, 41708, 41675?\n\"Answer: q**2 - 40*q + 41819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*q*s - 3*f**3*s - 1682*f**2*q + 248*f**2*s - 2*f*q*s - 27*f*s + 5*f + q wrt q.\nAnswer: f**3*s - 1682*f**2 - 2*f*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11029507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 6*h**2 - 5*h - 5. Let d(o) = o**3 - 3*o**2 + 3*o + 3. Let r = -1361 - -1356. Determine r*d(k) - 3*u(k).\nAnswer: -2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1999.1 - 10609.8. What is r rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/1680 - c**5\/240 - c**3\/6 - 4*c**2. Let o(a) be the first derivative of y(a). Factor o(f).\nAnswer: f*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2. Let j(x) = 2*x**2 + 3*x - 3. Let o be 0\/(-2) + 10 + -13. Let g(n) = -5*n**2 - 7*n + 7. Let c(d) = o*g(d) - 7*j(d). Give b(c(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 51*h + 419. Determine m(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**5 - 2*h**2 - 24. What is the second derivative of v(p) wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -12. Suppose x*p - 9 = 39. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - b - 4. Let s be t(0). Put -0.1, s, 0.5 in ascending order.\nAnswer: s, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5197?\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*r + 3*m, -4*m + 1241 = -3*r + 1240 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:16 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 4:49 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*w + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -177655 + 6?\nAnswer: -177647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -309 - 1006 + 315 - 4*r - 330 in the form o + l*r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 678 - 258. Suppose -5*g - 14*v + 12*v = -31, 4*g = -v + 26. Suppose -g*k + k = -x. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*y - 84*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.2, 1094.6 in descending order.\nAnswer: 1094.6, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, i: 7, x: 2, b: 2, g: 1}. Give prob of picking 2 i, 1 r, and 1 x.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 5*b - 29 - 3 = 0, -2*b + 44 = 5*v. What is the greatest common factor of 2913 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10022221 (base 4) to base 5\nAnswer: 1021230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 3. Let m be x(-3). Is -4 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(637)*-1 + sqrt(637))**2*2 - (0 + sqrt(52)\/(sqrt(40)\/(sqrt(20)\/sqrt(2))))).\nAnswer: -sqrt(13) + 1279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15893 - -6?\nAnswer: -1588b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68988 and -3.\nAnswer: 206964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e64a4 - -b?\nAnswer: 1e64b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (120\/(-12))\/((-2)\/1). Sort 2, -5, t.\nAnswer: -5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -1)\/(-3 - -1). Suppose -4*t + c + 3*c - 12 = 0, -5*t + 6 = 2*c. Put 4, t, i in descending order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 66, 200, 442, 822, 1370?\n\"Answer: 5*i**3 + 9*i**2 - 6*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(171) - sqrt(171)*2))\/sqrt(3))\/((-1*sqrt(576))\/sqrt(12)))**2 + -1 + 3.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161475, 161552, 161629, 161706, 161783, 161860?\nAnswer: 161937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32214 is divided by 2133.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7648 - -28049. What are the prime factors of d?\nAnswer: 3, 73, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*k - 1160, 6*i = 5*i + 2*k - 287. Is i at most as big as -289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = -s. Let x(i) = 2 + 2*i - s + 2. Let r be x(5). Solve -a - r = 2*h - 1, 3*h = 4*a + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193039 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -4?\nAnswer: -279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = -7. Suppose -v + b = -2. Sort v, 2, -5.\nAnswer: -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*t - 291 = 1114 + 1205 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, -14, -27, -38, -47?\n\"Answer: i**2 - 18*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + (1 + 3 - (-392 + 384) - (2 - 1))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, a: 7}. Give prob of picking 1 a and 1 s.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**4\/8 - 4*o**3 - 310*o**2. Let s(d) = d + 8. What is 4*i(n) + 11*s(n)?\nAnswer: -n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -8. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 3. Suppose 2*l + 2*l = -5*h, -3*l = -j*h - 27. Calculate the greatest common divisor of 55 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(0*g - 6*g + 4*g) - 6*g - 6*g - 18*g + (7*g + 2*g - 2*g)*(-2 + 4 - 3) as w + v*g and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = m - 3*f, 4*m = -f + 57 + 13. Let t = -13 + m. Suppose u + 2 = t. Solve 8 = -u*g - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 24942192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2904?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let a(o) be the first derivative of 5*o**2\/2 - 15*o - 249. Give x(a(y)).\nAnswer: 5*y - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.411263765 from 7.\nAnswer: -3.411263765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041993.\nAnswer: 3, 115777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/(-572) + 29\/39 - (-9251)\/(-13881). Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 - 183. Suppose 4*l - 5*o = 2*l, -u*o = -10. Solve 2*x - 15 = 3*b, -2*b - l*x + 4 = 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*h = 322*h - 1992*h - 1052*h + 118416 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yam when three letters picked without replacement from ggfyakm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -55053 (base 6) to base 16\nAnswer: -1da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3477 and 219234?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -897843208*t + 1223986181?\nAnswer: -897843208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1520 - -1523?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 32357?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115073 + 154339. Let a be 18105\/g + (-1)\/(-4). Let j = -2\/2041 - a. Find the common denominator of j and 149\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1*x)**15*x**(-1\/7)\/x**(1\/6)*((x\/((x\/x**(-2\/5))\/x))\/(x*x\/x**(-1\/7)))\/(x**(2\/3)\/x)**(1\/34) assuming x is positive.\nAnswer: x**(23486\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1b9e?\nAnswer: -1b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205 + 212. Suppose -2*x + 4*y - 121 = j*y, -3*x - 153 = -5*y. Is -56 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 368 = -b - 2*b, a - 96 = 5*b. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-38)*(-15 + 15). Sort f, 1, -7, 11, 6 in decreasing order.\nAnswer: 11, 6, 1, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upbpspbpi. Give prob of sequence usb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence happ when four letters picked without replacement from kupuappuuhaupupu?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -78*o + 1618. Determine f(12).\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 17, 1.81, -4, -10.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 10:59 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + (-7 - -6) + -25 + 36 + (-16 - 0)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/559 - 9665\/215. Sort 1, b, 0, -5 in increasing order.\nAnswer: b, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -32 in decreasing order.\nAnswer: 3, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2745.\nAnswer: 1\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 9 + (-15 - -10) + 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67.35 + 3.05. Let n = -55 + d. What is n rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*m + 4*m + 59112, 3*m - 5*n = -44347. Let b = m - 55221. Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -283 - 4*o + 283. Determine s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k + 38 + 30 - 64)*(5 - 2 - 1)*(-4*k - k + k).\nAnswer: 112*k**2 - 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -5 - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-4*sqrt(76)*-1 - (4*-2*sqrt(76) + sqrt(76))))\/((sqrt(8) - (sqrt(8) - sqrt(72)*-2))\/(-2*sqrt(50))))**2.\nAnswer: 919600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h + 45. Let s be u(-1). Is s at most 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54593, 54397, 54205, 54017, 53833, 53653, 53477?\nAnswer: 53305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3561238080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 - 5*k - 3. Let c(i) = 4*i**2 - 3*i - 2. Let u(m) = -5*c(m) + 3*p(m). Let a(f) = f + 5. Let l be a(0). What is the tens digit of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29415 and 172525.\nAnswer: 1014964575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (401 - 48 + 412 + 32)*(-4*x - 3*x**2 + 4*x) as i + w*x**2 + j*x and give w.\nAnswer: -2391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(272)*2 + -1 + 1.\nAnswer: 5 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 - 22407980*j - 25105878384020 = 0.\nAnswer: -2240798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:56 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3468 and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 43 = -21. Let s(q) = m*q - 117181*q**2 + 6 - q**3 + 117181*q**2. Let f(x) = -2*x**3 + 11*x + 17. Determine -6*f(p) + 17*s(p).\nAnswer: -5*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193 or 19?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 179b2 (base 13) in base 11?\nAnswer: 312a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 46*k**2 - 147*k + 3. Let w be h(49). Let x = 13.2 - 13. Which is the smallest value? (a) x (b) w (c) 2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -80.6, -2\/7, 46?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6642, 6137, 5632, 5127?\n\"Answer: -505*b + 7147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-16) + 3\/4. Suppose 3*b = 7*b - 80. Let v = j + b. Calculate the least common multiple of v and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 18}. What is prob of picking 2 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6409424273.\nAnswer: 7, 5903, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 + 599 = b. Let x = b - 648. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39479538 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 less than 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v. Let u be a(-2). Let l = 47 - 27. Let p = u + l. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (269*n - 114*n - 157*n + 2600 + (-3 - 2 + 6)*(2*n - 2*n - n) + n + 2*n - n)*(-3 + 3 - 2*n) to p + m*n**2 + k*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993)*-2 + -1*(sqrt(33) - sqrt(132)))\/(sqrt(176)*-2 - sqrt(176) - -1*-2*sqrt(11)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 2*m**2 + 4*m - 4. Let f = 18 + -19. Let u be -1 + -1 + f + 66 + 3. Let g = -63 + u. What is y(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362244303 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:23 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.5 + -5.46. Which is the closest to 0? (a) 5 (b) 2\/13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22875 or 0.1428?\nAnswer: -22875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3388557*i**3 - 7999633?\nAnswer: -10165671*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*z - 29*z + 60*z)*(-3 - 2*z**2 + 3) to the form b*z**3 + v*z + h + w*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 29047846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m - 189. Let w(d) = 5*d - 126. Let v(j) = 3*w(j) - 2*y(j). Let c(u) = 3*u**2 - 2*u + 4. Let i be c(3). Let k(p) = 25 - i - 6*p. Give k(v(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29091, 29096, 29103, 29112, 29123?\n\"Answer: b**2 + 2*b + 29088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25739 + 42498. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -1095 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*m + 1, 3*u - 5*m - 25 = 0. Is 2 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7091*a + 11998780 - 11998780)*(3*a + a + 0*a) to j*a**2 + i*a + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 318.\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m - 30. Is 12 a factor of i(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -66, -136, -234, -360?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3 - (-2 + 4). Which is bigger: p or -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -350 - -353. Which is the second biggest value? (a) 1 (b) -18 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259039\/6 greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1*sqrt(320) - sqrt(320)) + -1 - (sqrt(320) - (sqrt(320) + sqrt(320) + sqrt(320) + -6*(1 + sqrt(320)))))*2*3 + 3)**2.\nAnswer: 860544*sqrt(5) + 14991921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738490 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-12)*-12 - -7) + (-1 - -29). Let d be 3*(-3)\/12*-136. What is the greatest common divisor of d and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 13) to base 3.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose m - i = -m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(1\/3))**(-2\/31)*((y\/(y\/y**(-1)*y))\/(y\/y**(-3)*y))\/(y**8\/y*y\/y**(1\/10)) assuming y is positive.\nAnswer: y**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3400 and 2725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693678 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -27) + 15 - 34?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6 - -1)\/((-56)\/(-756)). Suppose -c*b = -19*b. Solve 2*y + 0*y + 2 = b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 0.8?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -2 (c) 25721\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 4)*2293\/(-2)*2. Let n = q - -1352871\/590. Is -1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 2*g**2 - 7*g**2. Let y(r) = 3*r**2. Determine y(q(t)).\nAnswer: 192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648346561.\nAnswer: 17, 43, 751, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 619899258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241193*f**3*m**2*x**2 - 8*f**3*m**2 - 4*f**3*m*x**2 + 13*f**3*m*x + 967*f**3*m - 2*f*m*x**2 - 4*f*m wrt m?\nAnswer: 482386*f**3*x**2 - 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -27, -70, -129, -204, -295?\n\"Answer: -8*l**2 - 3*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/216 + 30\/(-36). Suppose -3*x = k - 13, -4*x + 25 = x + 5*k. Which is the nearest to -1\/12? (a) p (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1065*s**3 - 989*s**3 - 86*s**3 + (-2*s - s - 2*s)*(3*s - 2*s**2 - 3*s) to v + y*s**3 + g*s + h*s**2 and give y.\nAnswer: -2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 37, 34, 31, 28, 25?\n\"Answer: -3*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 3 + 5)*(-x**3 - 13*x**3 - 6*x**3) + 2*x**3 + 0*x**3 - x**3 as p + c*x + t*x**2 + d*x**3 and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/34 and 64\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74388760 and 55791570.\nAnswer: 223166280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8016 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13203 + -10?\nAnswer: 13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*c - 4*w, 3*c - w - w - 24 = 0. Let l be c + (1 - 5 - -3). Let m = l + -6. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 19*s**3 - 2*s**2 + (-8*s**2 + 5*s**2 - 18*s**2)*(3*s - s + 2 + 0*s).\nAnswer: -61*s**3 - 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -37*k**2 - 4*k - 1. Let a(z) = 74*z**2 + 7*z + 2. What is 3*a(q) + 5*i(q)?\nAnswer: 37*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 114886\nAnswer: 114886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b - 26 = -136 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 9*x**5\/20 + 5*x**4\/12 + 2*x**3\/3 - 43*x**2. Is b(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-480)\/(-72))\/((-6)\/(-9) - (-280)\/(-435)). What is the highest common factor of 630 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:56 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**3 + a**3 - a**3)*(0 + 0 - a) + 7*a**4 - 5*a**4 + 3*a**4 - 1043 + 1043 + 4*a**4 to the form f*a + x*a**2 + g + w*a**3 + s*a**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let v = 2 + w. Solve t = -v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 6 + 4*a**2 + 3 + 2*a + 2*a. Let y be -8 + -6*3\/(-6). Is q(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**2 + 15*n - 30. Give w(6).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 6*f. Let c(v) = -3*v**2 + 13*v - 1. What is 2*c(l) - 5*q(l)?\nAnswer: -l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267.238927966852 - 3.\nAnswer: 264.238927966852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 10. Let u be ((-5)\/(-2))\/(i\/72). Solve -u = h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -269348832*u**3 - 15*u**2 - 7*u - 200866?\nAnswer: -1616092992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 387659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 252 + 262 - 777 + 261. Let t be (-5)\/(5\/(-12)) - 0. Suppose 3*v - t + 1 = l, 2*l + v = -1. Let f(z) = -z**2 + 4. Determine l*f(j) - 5*k(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67505 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 5. Let h be j(-5). Suppose k - 23 = -h. Let a = -15 - k. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 10*c + 9. Let z = 266 + -254. What is the remainder when v(8) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61485 and 891?\nAnswer: -54783135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:35 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 3*k + 8640*k**2 - k.\nAnswer: 8640*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 4. Let x be p(-13). Suppose 3*r = -4*v + 12, 5*v + 4 = v + r. Let n be (-161)\/(-7) + (0 - v). Calculate the greatest common factor of x and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(18)*-4 + 3 + 3)**2.\nAnswer: -264*sqrt(2) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -2 (c) -39.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3030406 (base 8) to base 11.\nAnswer: -4a6318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8181*f**4 - 5*f**3*n - 65*f**3 + f**2*n - 150*f**2 + 306*f - 6*n wrt f?\nAnswer: -196344*f - 30*n - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117*i**2 + 66*i - 9.\nAnswer: -3*(3*i - 1)*(13*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -284280594 divided by -7289246\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + u. Let m(k) = 5*k**2 + 2*k - 1. Let j = 165 + -162. Determine j*h(f) - 2*m(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7*j**3 + 14*j - 14*j - 2*j**3 - 2*j**4 - j**2 + 5*j**3 as c*j**4 + z*j**3 + h*j + g + n*j**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**8\/13440 + v**7\/3360 - v**5\/10 + 7*v**2. Let g(i) be the third derivative of y(i). Let g(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1. Let g(o) be the second derivative of o**6\/6 + o**3 + 3*o**2\/2 - 2*o. Let v(h) = -g(h) - 3*k(h). What is the second derivative of v(y) wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*y**3 + 80*y**5 - 40*y**3 + (7*y**2 - 5*y**2 + 2*y**3 + y**3)*(129 - 3*y**2 - 129).\nAnswer: 71*y**5 - 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 + 6*m - 3. Let l be p(4). Let n = -15.76 - 0.24. Let v = 13 + n. Put v, 2, l in ascending order.\nAnswer: v, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 751\/7 + -7181\/70. Find the common denominator of ((-1)\/(-15))\/(-4*3\/3930) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 8. Suppose z + 1 = -o, 2 = 3*o - 0*o + 2*z. Let y be l(o). Solve 0 = -5*c - 5*r - 5, c + y*r = -c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 6. Let m = 619 + -618. Suppose -5*l + m = 21. Give j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0, 944, -3, 2.\nAnswer: -3, 0, 2, 43, 944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83919152*2.\nAnswer: -167838304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12*a - 11*a + 0*a**2 + 6*a**2. Let f be 1\/(-2)*2*1. Calculate w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*b - 11. Let n(g) = g**3 - 23*g**2 + 24*g - 42. Let l be n(22). Suppose 0*t = -l*t + b. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922738005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - 4*t + 3. Let p(n) = -n**2 + n - 1. Suppose -20*b + 10 = -15*b. Suppose -y = b*c - 8, 3*y - 6*y = -c - 10. Determine c*k(q) + 6*p(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 364 + 295. Let x = 1279 - f. List the prime factors of x.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 8:32 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(2\/(-8) - 25\/(-150))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*t + 26*t - 31*t)*(-2 - 2 + 1)*(0*t - 2*t + 0*t) to k*t + d*t**2 + i and give d.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 + 134584*c - 1132053316 = 0?\nAnswer: 16823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -86814*f**2 + 7*f + 8. Let j be y(-6). Let z = j + 6964825. Suppose w - z = 2*h - 539479, 3*h = -12. Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 4. Let v(z) = 33*z - 36*z + z. Calculate m(v(n)).\nAnswer: 8*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 14058629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9066 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssnnnsnsnnnsnssnssn. What is prob of sequence sns?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43372055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + y - 294 = 0. Suppose 0 = -4*a + 2810 + y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40606229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = -245 + 575. Let v be (-70)\/(-22) - 18\/99. Suppose -v*i - 18 = -6*i. Calculate the remainder when u is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209062 + 315610. Suppose 6*k + n = 40308. What is k rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2\/3. Which is the second smallest value? (a) 2\/17 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452001 (base 6) to base 5.\nAnswer: 2204032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1331) + 4 - (sqrt(1331) + 0 - sqrt(11))*3.\nAnswer: -8*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/24 + 7*c**3\/2 - 2*c**2. Let b(x) = 2*x**3 + 20*x**2 + 27*x - 28. Let j be b(-8). Calculate r(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579 = -102*f - 171 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-48))\/((-18)\/(-264))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/5 - 4440372*p\/5 - 53284752\/5 = 0 for p.\nAnswer: -12, 2220198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(4\/(-10))\/(4\/(-10)). Sort -1, t, 5 in decreasing order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1804 - -2813. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**6\/18 + 3*n**5\/5 - 5*n**4\/2 + 44*n**3\/9 - 4*n**2 + 196. Factor l(g).\nAnswer: -g*(g - 3)*(g - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.233 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 43. Suppose l*j + 5 - 38 = 0. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 13. Let f(m) = -m - 14. Suppose -7 = 3*v + 5. Let s(a) = v*z(a) - 3*f(a). Suppose -j - 2*d = 3*d, 4*j - d = 0. What is s(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -1\/7, -0.15, 2, 63 in descending order.\nAnswer: 63, 2, -1\/7, -0.15, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -67, 7, 151, 389, 745, 1243, 1907?\n\"Answer: 4*i**3 - i**2 + 3*i - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q - 3. Let a(s) = 11023908*s. What is u(a(p))?\nAnswer: 99215172*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18 - 28*o + 5 + 5 - 10 - o**2 + 6*o**2. List the prime factors of a(13).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.4. Let j = -0.1 + u. Let i = 41 + -41.1. Sort i, 0.1, j.\nAnswer: i, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21611 - -151275\/7. Which is the nearest to g? (a) -2\/5 (b) 3 (c) 13\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76)\/3 + 1\/3. Let v = 18 + s. Let k(g) = -g**3 - 7*g**2 - 2*g + 2. List the prime factors of k(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 13. Suppose -4*v - 2*z = 14, -z = -4*v - r*z - 29. List the prime factors of (2*(v + 6))\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*l - 0*l. Let f(a) = -a**2 - 6*a. Let b(z) = 2*z + 3. Let y(n) = -3*n - 4. Let i(k) = 4*b(k) + 3*y(k). Give l*f(p) + 6*i(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**12*j**(30\/7)*j assuming j is positive.\nAnswer: j**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131224 - 4?\nAnswer: 1131220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2)*l*l**(1\/5)\/l)\/(l\/l**(1\/2))**0)\/((l**(-2)*l)**(-17))**41 assuming l is positive.\nAnswer: l**(-3469\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9748845 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -10*j + 66, 5*l - 4*l = -4*j for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1305 - -3968\/3. Find the common denominator of 65\/3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 - 12?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, g: 1, n: 2, a: 1, j: 2}. Give prob of picking 2 h, 1 g, and 1 n.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20970)\/(-105) - (-6)\/21. Suppose 0 = -5*u + 3*i + c + 796, 0 = 3*u - 4*i - 591. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1838941 and 13702?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 16*j - 3234 = 20*j, 4*j - 16242 = -5*n. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/18)\/(406\/261).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:16 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1323*p**3\/2 - 2583*p**2 + 501*p\/2 - 6 = 0.\nAnswer: -4, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(-3)*k**6)\/(k**(-4\/11)*k*k\/(k**(-2\/9)*k)*k) assuming k is positive.\nAnswer: k**(1004\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-5)\/(-405))\/((-1)\/(8*24\/128))?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1133, -2264, -3395, -4526, -5657?\nAnswer: -6788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2. Let i(q) = -q**3 - 7*q**2 - 3*q - 15. Let h be i(-7). Let x be -2 - 4*(-3)\/h. Let z(o) = -23 + 23 - o + x*o. Determine m(z(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*h = 59, -2*a - 5*h = -5*a + 55. Let n be -2366 + (-2)\/4*2. Let q = -9389\/4 - n. What is the common denominator of q and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-12))\/(24\/(-9) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d**2 - 164*d - 334. Let j be m(13). Does j = -2966\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-126))\/((-28)\/(-7))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w. Let v(y) = -52*y. Let k(d) = 16*f(d) - 5*v(d). Let l(i) = -4 + 413*i**2 - 900*i**2 + 484*i**2 + 4. What is k(l(t))?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2161.\nAnswer: -4322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + d + 14*d**2 - 2*d - 11*d**2)*(3 - 4 - 1) + (2*d - d - 4*d)*(-2*d + d + 0*d).\nAnswer: -3*d**2 + 2*d - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*n = 435*n + 523*n - 38591 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177\/8 - 1577\/72. Which is the second smallest value? (a) -0.4 (b) 1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*n + 30 = -71*n. What is the nearest to 2\/5 in -4, 5\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k. Let w(q) = 0*q + 5*q + 2*q - 6*q. Let y(g) = 2*c(g) + 21*w(g). Let a(n) = -6*n**2. What is y(a(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1 - 0.053?\nAnswer: -17.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2903 divided by 9\nAnswer: -2903\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = o + 13, 4*c - o = -3*o - 20. Let j be 3\/(3*c\/(-6)). Suppose -j*m + 28 + 28 = 0. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726332 - -2914.58.\nAnswer: 729246.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 403338 by 26.\nAnswer: 15513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 501534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - (-3)\/(-6). Let k be 0\/1 + (1 - 21\/(-7)). Let f(j) = -j - 3. Let q be f(k). What is the nearest to q in l, 3\/4, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**3\/2 - 4*a**2 + 23*a. Suppose -2*z + 2*d - 2 = 4, 5*d + 12 = -4*z. Let b be q(z). Does b = 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 1. Let h(c) = -103*c**3 + 2*c**2 + 2*c - 2. Determine -h(p) + 2*z(p).\nAnswer: 103*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1, 11, -38, -3\/4, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 + -0.03. Let q = 0.08 + f. Which is the third biggest value? (a) 2 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*-2*sqrt(2499) + sqrt(2499) - -6*sqrt(2499)*-2)\/((sqrt(3) + sqrt(3)*-3 + sqrt(3))*-5 - (sqrt(147) + (-3*sqrt(147) + sqrt(147) - sqrt(147)))).\nAnswer: -4 + 7*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let g(a) = 12604274*a. What is g(l(z))?\nAnswer: 12604274*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)\/(x\/((x\/(x*x**(-1\/3)))\/x*x))*(x\/x**(2\/5)*x)**(-39) assuming x is positive.\nAnswer: x**(-956\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 3*v**2 + 4*v**2)*(v**2 + 0*v + 0*v)*(-2 - 3 + 0).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.21 + -21.21. Let r = -0.03 - -0.03. Which is the closest to r? (a) -0.1 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac7392 (base 13) to base 2.\nAnswer: -100001111100011110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-2) + 8 + -12 + (-36)\/6. Let l be 1*4 - (2 + 0). Let w be l\/((-2)\/(-17)) - -2. Is w less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -2*w. Suppose 4 = -w*v - l + 138, l = -5*v + 220. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 73131*c**2 - 444763053*c - 11164830075.\nAnswer: -3*(c - 12201)**2*(c + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200200200 (base 3) to base 13.\nAnswer: -6282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/9)\/(2\/(-42)) - 80\/(-48). Solve 0 = b - p*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p + 2*p)*(p**3 + 0*p**3 + p**3 + (2*p - 1 + 1)*(-3*p**2 + p**2 + 0*p**2) + 179*p**3 - 498*p**3 + 147*p**3 - p**3 - 2*p**3 + p**3).\nAnswer: -352*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 304*u + 21867. Determine w(-187).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 14 - -4) + 69. What are the prime factors of c\/(-1)*(-4 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let t = j + -7. Let g = -0.19 - -3.19. What is the closest to -2\/5 in g, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(1 - 4) - -2. Let b(z) = z**2 + z. Let k(x) = -4*x**2 - 2*x + 5. Let j(m) = w*b(m) + k(m). Give j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4)*0\/2. Suppose -5 - 5 = -5*y. Suppose -y*h - 3 = -11. Solve h = l - d*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*m = 159*m + 17808 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i + 2. Let n be q(-1). Suppose n - 3 = 5*u - 2*v, -u - 8 = 5*v. Suppose -u*l - 550000 = -l. What is l rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 7*j - 7. Let d be o(-8). Calculate the common denominator of -22*(4\/3)\/4 and d\/(-1 + 108\/86).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*b**2 - 4 + 5*b - 2*b + 1 - 2*b + 0 as n + q*b**2 + h*b and give q.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 15. Suppose 0 = -c*t - 2*t + 130. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 11*b - 17. Let y be d(-3). Let p = -0.4 + 0.7. Is p > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -5)*(-2)\/(-2). Let z be 3\/(28\/(-20) + 2). Suppose -t*a - 2*l = -26, 71 = z*a + 3*l + 16. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 - 163. Let s(g) = g**3 + 63*g**2 + 39*g + 40. Is s(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 4*s**2 - 3*s + 7. Let j be a(-5). Let c = 1 - j. Let q = c + -3. Solve -16 = -3*k - q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(8\/(-96)*28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -341\/682349?\nAnswer: -341\/682349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -55. Let o(b) be the first derivative of b**2 - 4*b + 11. Let k(g) = -1. Let u(i) = 6*k(i) - o(i). Give u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -g - 9, 4*o + g - 7 = 2*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48277537 divided by 19.\nAnswer: 2540923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7051, -14130, -21209, -28288?\nAnswer: -35367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/(-4)*10\/15. Let g = -19 - s. Is -7 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.234 in 0.3, -0.25, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, 0 in descending order.\nAnswer: 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -3*w**3 - 5 + 1 - 1. Let u(g) be the second derivative of g**3\/6 + 85*g. What is a(u(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 172 = 4*n, -2*v + 290 = -4*n + 3*n + 373 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3 - 250*m. Let b(n) = n**2 + 65. Give b(v(y)).\nAnswer: 36*y**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 11*g - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749425306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 2 = -4*l. Let j be (-1)\/9 - 0\/l. Is j greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 82, 190, 342?\n\"Answer: 22*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 60*o - 167. Calculate the remainder when 178 is divided by i(-57).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*c**2 - 4*c**4 + 13*c**3 + 12*c - 2*c**4 - 52*c**3 + 3*c**4 + 120.\nAnswer: -3*(c - 1)*(c + 2)**2*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 5*l**2 + 42 + 89 as k*l + w*l**2 + x and give x.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/3243 or -1?\nAnswer: -8\/3243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4929494ml to litres.\nAnswer: 0.0004929494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 4:28 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.08472 - 2.535116.\nAnswer: -9.619836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/51 - 8\/12. Which is the closest to -1? (a) -2\/3 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 20 - 6. Let n = 24 + m. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12) - (-14)\/(-168)*-56?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*27112.\nAnswer: -5422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -13 (c) -1 (d) -3\/4 (e) 3 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323.\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 + 105438*r + 13568220 = 0.\nAnswer: -52590, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.126 * 1.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45220 - -45219. Which is the nearest to f? (a) -1 (b) -0.2 (c) -284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -23*v. Let a(i) be the first derivative of -13 + 0*i**2 + 0*i - 2\/3*i**3. What is a(b(m))?\nAnswer: -1058*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from vvpppevepeevveveve?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Let v(m) be the second derivative of 2*m**3\/3 + 4*m. Give n(v(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 8*k + 8. Suppose 48 = 4*p - 5*n, 1 = 2*p + 4*n + 3. Let q be b(p). Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/27*-3*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -50*h - 9525. Let s(x) = 376*x + 66675. What is 15*l(w) + 2*s(w)?\nAnswer: 2*w - 9525","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197899 and 176033.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/53))\/(w\/(w\/(w\/w**(15\/8)))))**(7\/8))**(-1\/5) assuming w is positive.\nAnswer: w**(-5677\/16960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 79*t**2 - 1343*t + 3. Let q be m(17). Factor 0*d + 0*d**2 + 6\/11*d**4 + 0 - 2\/11*d**5 - 4\/11*d**q.\nAnswer: -2*d**3*(d - 2)*(d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 2*w)*(-6 + 3 + 8) + w + 4*w - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -31334 > -31332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.3. Let i = -0.4 - j. What is the nearest to 0 in -5, 3\/8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (24 - 2) - 113 - -31.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 820, 819, 818, 817?\n\"Answer: -f + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 11:09 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.992 and 233.\nAnswer: 697.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 24 = 1. Suppose m*j = 5*o - 25, j - 10 = -2*o - 2*o. Is o >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 7. Let q be ((-114)\/108)\/(-19)*-3. Which is the nearest to z? (a) 1 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2295053 divided by -5\nAnswer: 2295053\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286131979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98677*q**4 - 734*q - 30.\nAnswer: 1184124*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4 + 134068*d**2 + 1046602*d wrt d.\nAnswer: -24*d**2 + 268136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*s**3 - 106*s**2 - 80*s - 8 = 0. What is s?\nAnswer: -2, -1, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 16*o - 10. Let k be -10*(-6)\/(-63) + o\/(-3). What is the smallest value in -4\/7, 5, 0, k?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -544382 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*j - 733 + 223, x = -3*j + 162. Find the common denominator of (-30)\/4*(-42)\/(-40) and (-1898)\/x + (-2)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 26*r - 4. Let z(n) = -2*n**2 + 83. Calculate z(x(j)).\nAnswer: -1352*j**2 + 416*j + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93470, 187349, 281228?\nAnswer: 375107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**13)\/f*f)\/(f\/f**(-2\/5)))\/((f*f\/f**(-2\/3))\/(f**(-13)\/f*f)) assuming f is positive.\nAnswer: f**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 488.83 + -488. Let d = i + -0.830000794. What is d rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 425 = -31*v + 27*v, -488 = -4*v + 4*h. Which is greater: v or 795\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-30) + 10\/75. Put -3, t, -66 in ascending order.\nAnswer: -66, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1101 + 3582. Let t = -2706 + n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-9))\/(7\/(-21)). Suppose -k*b = -q + 76012, -b = 2*q + b - 151994. What is q rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -10.05. Is -0.1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 12054?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from eeeooeoooooooo?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 144*z - 3332. Determine d(115).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -292*p + 291*p + 69, -185 = -3*p + 2*f. Solve u - 2*j - 14 = 0, 2*j - 4 = -65*u + p*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57936.\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/((-20)\/10945) + -4 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -2\/393, 0.1, -0.2, 2\/21, -6.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -441054225*h**3*p**2 - 8*h**2*p**2 + 5*h**2*p - 206744*h**2 wrt h.\nAnswer: -2646325350*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 14, v: 5}. What is prob of picking 1 v and 1 d?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14401 and 22094.\nAnswer: -318175694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c - 5. Let j be q(5). Suppose -d - 10 + 6 = j. What is the lowest common multiple of 22\/4*d\/(-2) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - c**2)*((2 - 8 - 3 + c)*(-1 + 7*c + 5*c - 6*c) + (2 + 1 - 1)*(4*c**2 - 2*c**2 - 4*c**2) + 5*c**2 - c**2 - 2*c**2).\nAnswer: -4*c**4 + 55*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from fkffggf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67550 - 24092. List the prime factors of x.\nAnswer: 2, 3, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-4)\/(-16) + -1). Which is the nearest to 0.1? (a) f (b) 1\/5 (c) 11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from spppspsp.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 739248888 divided by -1361416\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f + 5*f - 2*f)*(-31*f - 25*f - 41*f).\nAnswer: 970*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y + y + 2*y)*(-1 - 2 + 1) - 5*y + 0*y + 6*y)*(3 - 31*y - 3).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14670, -14672, -14674?\nAnswer: -14676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 + 256 = j. Suppose 25*z - j*z + 52 = 0. Let x = 29 - 15. What is the remainder when z is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or -878?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*-0.3\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -63, -14, 0 in descending order.\nAnswer: 0, -14, -54, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1689 (c) 1 (d) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1639142*k + 185716*k - 391275*k.\nAnswer: 1433583*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 37680*f**3 - 755100*f**2 + 3778000*f.\nAnswer: 5*f*(f - 10)**2*(f + 7556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*u + 2*s - 26, -10 = 2*s. Let p = u - 20. Suppose -2*m - 4*n + 25 = p*m, -2*m - 3*n + 17 = 0. Solve -w = k + m, 3*k - 3*w - 7 = -28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 0.26, -3, 0.36?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 2*y**2 + y**2 - 5*y + 5*y + y**2 + (-4 + 4 + y)*(0*y - 2*y + 0*y) + 2 + y**2 - 2*y + y**2 + 10*y.\nAnswer: -y**2 + 8*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 18815. Let s(i) = 136*i. Calculate s(t(a)).\nAnswer: 272*a - 2558840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avv when three letters picked without replacement from vvavvvva?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + q. Let l = -7 - -10. Suppose l*k - 5 = 8*k. Give j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 2. Let g be q(-1). Suppose 0 = -b - 0 + g. Suppose u = -3, -2*a - b*u = 8 - 105. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1025493393 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1881, -2147, -2541, -3057, -3689, -4431, -5277, -6221?\n\"Answer: d**3 - 70*d**2 - 63*d - 1749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 - -6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/48988 and -61\/52.\nAnswer: 636844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 758901.1 to the nearest 10000.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -91, -165, -287, -469, -723?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 9 = 3*x, -2*h = -355799*x + 355801*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r. Let o(d) = -d. Let b(p) = 14*p - 13. Let c be b(5). Suppose -c*l + 54*l - 3 = 0. What is l*f(h) + 12*o(h)?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -42*(1 - (-1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 897 and 2346?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12250 and 1901690.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969579003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 9, h: 10}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 6*l. Suppose f + 10 = 21. Calculate the remainder when f is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 13*m + 13*m - 7*m**2 + (0 - 1 + 2)*(-64*m**2 - 51*m**2 + 277*m**2).\nAnswer: 155*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30327594, 30327593, 30327592?\n\"Answer: -g + 30327595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c**2 - 3*c. Let k(o) = o**3 - 4*o**2 - 2*o - 12. Let q = 16 + -12. Suppose -w + q*w - r = 19, 24 = 4*w - r. Let f be k(w). Give d(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8431 (base 14) in base 2?\nAnswer: -101100011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**3 - 6*p**2 - 6*p. Let d(o) = -4*o**2 - 5*o - o**2 - 14*o**3 + 6*o**3. Calculate 6*d(m) - 5*n(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 + 7*t - 6. Let c(v) = v**2 + 20*v + 11. Let m be c(-19). Determine q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = 6, -t - w = -15. Suppose 3*s = -10 - t. Let q be s\/(-3) + 29 + -3. Solve 5*x = -2*m + 5, 0*m - q = 4*x - 5*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 12*j**2 - 4*j - 42. Determine i(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from wlrszsg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 106076295, 212152588, 318228881?\n\"Answer: 106076293*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10160537 - 0.654\nAnswer: 10160536.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -116. Calculate the highest common divisor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 6*d**2 - d**2 + (-4*d + 2*d + 4*d)*(3*d - 3*d + d) - d + d + 3*d**2)*(-d**3 - 17*d**2 + 17*d**2).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*o + 1638 - 3368 = -914*o + 2365 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9838, -19680, -29522?\n\"Answer: -9842*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -25024.\nAnswer: -1\/6256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*2*1\/(-66))\/(6\/44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4.1. Let q = -0.14 - w. Let r = -0.206 - q. Round r to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 165 = 51*o. Let q be 9\/(-15) - 6\/15. Let j be o\/(-6)*(-270)\/25*q. What is the greatest common divisor of j and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 3570 = -20*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-14)*(0 - -7). Let c(p) = -l - p - 2 + 0 + 8. Let k(a) = 2*a + 76. What is k(c(z))?\nAnswer: -2*z + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11530397.71 rounded to the nearest one hundred thousand?\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 22. Suppose a - 15 = -5*c, n*c = -0*c + 5*a + 37. What is the smallest common multiple of c and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 34512, -0.4, -57\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*l**2 + 72*l**2 + 56*l**2 - 34*l**2.\nAnswer: 161*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3864 = 12*c. Let x = -236 - c. Suppose 3*y + 4*a = 335, 2*a - 155 = -5*y + x. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2767400 and 1300678?\nAnswer: 130067800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 882, 1733, 2584, 3435, 4286, 5137?\n\"Answer: 851*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/10))*l)\/(l*l\/((l\/(l**(-4\/5)\/l))\/l))*(l**(-4)*l*l)\/l**5 assuming l is positive.\nAnswer: l**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1261\/1480378 or 1?\nAnswer: -1261\/1480378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000308060187 rounded to seven dps?\nAnswer: -0.0003081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d**(2\/7))\/(d**(2\/7))**(1\/2) assuming d is positive.\nAnswer: d**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267433906050555 + -4.\nAnswer: -267433906050559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 10. Let x be p(7). Let o(d) = -1 - d**2 - 24*d + x - 1. Let b be o(-24). Solve -2*q + 0*q - 4 = -b*c, 3*q - 2*c = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 7*g**2 + 3*g + 10. Let p be k(-5). Let x(b) = 3*b + 12. Let r be x(6). What is the highest common divisor of p and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1248*p**2 - 3*p - 2. Let f = 94 - 95. Is q(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1548 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56303, 225224, 506775, 900968, 1407815, 2027328, 2759519?\n\"Answer: 2*z**3 + 56303*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7.0253 (b) 9\/2 (c) 0.9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11475, -5 in descending order.\nAnswer: 4, -5, -11475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**3\/3 - 11*v**2\/2 + 12*v. Let g be t(-5). Which is smaller: 2\/37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 150 - 178 + 81 - 3*h**3 to the form f*h**3 + r*h + c + m*h**2 and give c.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -10087?\nAnswer: 2\/10087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/5))**(-2\/7)\/((v\/(v**(-4)\/v))\/v**4))\/((v\/v**(-3))\/v**7)**(-47) assuming v is positive.\nAnswer: v**(-717\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2, -282, 0.3, 141\/2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13143 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/10 and -29\/2659.\nAnswer: 26590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h = -11*h + 207 - 1175 - 557 for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 53*g - 2*g**2 + 60*g + 6*g**2 to the form m + y*g + b*g**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.2. Let h = 43 - 45. Which is the biggest value? (a) x (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 2*i + 7. Let b be o(-3). Suppose -6*t = -t - b. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480033, 480027, 480019, 480009, 479997?\nAnswer: 479983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -111, -645, -1537, -2787, -4395?\n\"Answer: -179*a**2 + 3*a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 29 + -4 + 1 + 1 is divided by ((-20)\/12)\/((-2)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 20 = -2*q. Let f = -13 + 8. Which is bigger: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 + 4235890*v**3 - 82*v**2 - 124327*v + 2.\nAnswer: -48*v + 25415340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - t**4 - 2*t**3 - 2*t + 0*t**2 - t**2 to the form v*t**4 + h*t**3 + a*t + s*t**2 + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 13764*l - 28 + 13764*l + 859*l**2.\nAnswer: 859*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*c**2 + 176*c - 14029 wrt c.\nAnswer: -38*c + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1372486*c**3*g + 3*c**3*t - 241*c*g*t + 3107*t wrt t?\nAnswer: 3*c**3 - 241*c*g + 3107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*b**3 + 1788*b**3 + 1028*b**3 - 159*b**3.\nAnswer: 2177*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**4 + 345*o**3 - 2190*o**2 + 4460*o - 3000 = 0.\nAnswer: -75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (171\/76)\/(6\/(-32)). Put y, -5, -4 in decreasing order.\nAnswer: -4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/(-2)*(2 - 4). Let c = -47 + v. Calculate the highest common factor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.96 + -11.1. Let d = 6.312 - h. What is d rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**5\/140 + z**4\/42 + 2*z**3\/21 - 4*z**2\/7 + 10*z - 8. Let m(l) be the first derivative of r(l). Factor m(t).\nAnswer: -(t - 2)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5707419 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2978642 is divided by 992847?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -30 + -29 + 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 3*u**3 - 3*u**3)*(11*u + 17*u - 31*u) + (-4*u - 3*u + 5*u)*(-2*u**3 + 14*u**3 - 8*u**3).\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.947523 from -0.5.\nAnswer: -2.447523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.345\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 14. Suppose -4*b + 76 = -2*w, -3*w + 0*w - 132 = 3*b. Let j = w + 52. Is j bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m*t**3 - 6*m*t**2*v**3 + 2*m*t**2 - 3*m*v**3 + 2*v wrt t?\nAnswer: 3*m*t**2 - 12*m*t*v**3 + 4*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 6925 - 6977 = -6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3738 + 1797. Let r = 1945.135 + y. Round r to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627499 equal to 4.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128066?\nAnswer: 2, 64033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 636555*l - 237630*l.\nAnswer: 398925*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/10 + 6\/(-4). Let i(n) = -n**2 + 1. Let p be i(t). Suppose 2 = -p*s + s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 26 = -2*k, -s + 2 = -3*s - 2*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**2 - 53*i**2 + 33*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 5 + 4)*(-15)\/6. Let l(y) = -117*y - 120. Let x(i) = -235*i - 237. Let a(j) = o*l(j) + 3*x(j). Differentiate a(f) with respect to f.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646786085.\nAnswer: 5, 11, 37, 317831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.69391 + -5.7. Round a to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132\/1411 + -2\/83. What is the closest to -0.1 in 0, 2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9424\/(-620) + (-9)\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 5*sqrt(65)*5 - sqrt(65)*5*3)\/(sqrt(5) - (sqrt(5) - sqrt(40)\/sqrt(8)*5) - sqrt(40)\/sqrt(648)).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -823.17059 to 0 decimal places.\nAnswer: -823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7276 * 21.9\nAnswer: 159344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 91, -2, -0.14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001220 - -1012?\nAnswer: -11000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 + 3.4. Let t = 0.02 - 2.02. Sort t, 1\/5, x in increasing order.\nAnswer: t, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(4 - 1) + -6. Let y = -1.94 + -0.06. Let x = -0.2 + 0.3. Put x, g, y in decreasing order.\nAnswer: x, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysry when four letters picked without replacement from rsyyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -118. Let c = 83 - h. What is the remainder when 16 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 7669545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31371 is divided by 3898?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4441 - -4438) + (0 - -1 - -2) + 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22997000\/365000 + (-16)\/2920.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -32*z**2 + 308*z - 6. Let p(f) = -24*f**2 + 205*f - 4. What is 5*n(g) - 7*p(g)?\nAnswer: 8*g**2 + 105*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 6, -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 - 276*l**2 + 272*l = 0. What is l?\nAnswer: 0, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5548 - 5447. Solve 0 = -15*r + l - 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = -70. Let j be (-4)\/d - (-62)\/(-8). Find the common denominator of (-858)\/(-27)*(-6)\/j and 39\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/8 + -41\/40. Let w = 7573 - 7573.1. Let r be (-34)\/(-21) - (-14)\/(-49). Which is the nearest to w? (a) -0.06 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -93. Let m(g) = g + 23. Calculate m(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 5*r**3\/18 + 55*r**2\/12 + 15*r + 31. Let w(q) = 0. Calculate q.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13313400 + 10?\nAnswer: -13313340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 45. Let h = -2.3 + 4.3. What is the closest to 6 in 0.1, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = -3*g. Let w = -87 + 100. Suppose -8*l = -w + 37. Are l and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217831891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:49 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-7)*(-62 + 69) + 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34534?\nAnswer: 2, 31, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.99 + -0.01. Let k = 181893 - 1453365\/8. Let q = -222 + k. Put b, -3, q in decreasing order.\nAnswer: q, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 != 72\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/9 + 8222*y\/9 + 8296148\/9 = 0 for y.\nAnswer: -2333, -1778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 8*m + 8*m - m + 17 = 0, 39 + 16 = -9*x - 2*m + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -16. Suppose -q + 3 = h*u - 2, -q + 6 = 4*u. Let a be u\/(-3 + (-32)\/(-10)). Solve 6*c - 2 = a*c, 0 = -5*v + 2*c - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2142348 and 61\/8060.\nAnswer: 10711740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-96)*(-19 - -16))\/(1\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-487)\/54 - -9)\/(((-8)\/2)\/16).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9)\/w*w**5\/w*(w*(w\/(w*w**5*w)*w)\/w)\/(w*w**(-7)))**(-3\/8) assuming w is positive.\nAnswer: w**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**2 - 4*g + 1. Let s be c(-3). Suppose 3*m = 3*o - 8*o + 20, 3*m - 2*o - 13 = 0. Is ((-6)\/4)\/(m\/s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/9 + 41414*y**2\/3 + 110448*y + 1988128\/9 = 0. What is y?\nAnswer: -4, 62129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**6\/210 - 3*n**5\/140 + 3*n**4\/28 - 5*n**3\/42 + n. Solve f(b) = 0 for b.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3812, -3807, -3802, -3797, -3792?\n\"Answer: 5*u - 3817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314*f**3*l*o**3 + 2*f**3*l*o**2 + 2*f**3*o**2 - 11*f**2*l*o**2 - 2*f*l*o**3 - 3*f*l wrt o.\nAnswer: 1884*f**3*l - 12*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -400*n**4 - 2*n**3 + 393*n**4 + 0*n + n as j*n**2 + m + g*n**3 + c*n**4 + i*n and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {p: 2, c: 1, j: 1, q: 1, k: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times -5.8672?\nAnswer: 1.290784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j. Let w = -58.08 - 0.72. Let o = w - -59. What is the biggest value in j, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 3270\/(-4)*-1)\/(1\/4).\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 571 + -325. Let c = s - 134. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 10*v - 2*l - 5 = 0, 3*v - 3 = l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222633 is divided by 611288?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*s - 3, -2 - 2 = 4*t - 2*s. Let y(q) = q**2 - q. Let p be y(t). Which is the third biggest value? (a) 0.1 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 h when three letters picked without replacement from {y: 1, q: 2, x: 1, t: 1, h: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.763963 times 0.5?\nAnswer: 0.3819815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 5*x + 395. Let u = x - 77. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 2*o + 8. Let a be (-2 - -7)*(-1 - 0). Suppose -r - 18 = -4*r. Let p = r + a. Let w(k) = -1. What is p*u(f) + 6*w(f)?\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Suppose z = -3*k - k + 20. Suppose k*r = -0*r + 45. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5 = 5*k, k + 5 = w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -200754, -200773, -200804, -200847, -200902, -200969?\n\"Answer: -6*v**2 - v - 200747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 490*w - 502*w - 25 + 4*w**2 - 5*w**2. Let r be z(-7). Calculate the highest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5179 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0)*(4*n**4 + 5*n - 5*n - 2*n**2) + 0*n**5 - 3*n**5 + 0*n**5.\nAnswer: -11*n**5 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + 22*h - 6. Let v = 3555 + -3553. Let z(d) = -2*d**2 - 7*d + 2. Determine v*t(o) + 7*z(o).\nAnswer: -2*o**2 - 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4813 (base 11) to base 5.\nAnswer: 200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = -147*t + 142*t, -2*m + 16 = t. Sort t, -332, -1.\nAnswer: -332, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1218253\/9 - 135361. What is d in -47\/9*d**3 - n*d**4 - 4\/3 + 16\/9*d**2 + 47\/9*d = 0?\nAnswer: -12, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i + 3. Let y(b) = -17 + 29*b - 44*b + 50*b. Let q(w) = 4*w**2 - 2. Let l be q(3). Let d(r) = l*c(r) + 6*y(r). Let z(m) = -2*m. Calculate d(z(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.25 (b) 6 (c) 4 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhdhddddddddhhddh. Give prob of picking 1 h and 1 d.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 29726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*k + 15*k - 2*k)*(-140*k + 419*k - 110*k + 495*k) as n*k**2 + t*k + o and give n.\nAnswer: 17264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 44 + 91 - 62.\nAnswer: 16*h - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-20) + (-5 - (-8)\/(288\/123))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11438 is divided by 109?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67.95 - -68. Is -5 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 5*v + 4. Let a be o(6). Let l be a\/4 - 342\/(-12). Suppose -u = -5*u + l. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436345 (base 10) to base 9.\nAnswer: 734487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 - 6*o + 5. Suppose -66*w - 7*w + 4*w + 207 = 0. Determine m(w).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 + 13*g - 17. What is z(6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 - 3*h**2 + 22*h + 7. Determine j(-5).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 326.001722 + -326. What is l rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 3533.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*g + 3*t = 9, 30 = 5*g + 4*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:27 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 27 = 3*a, 396*d = -5*a + 394*d - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2762, 0, -3.\nAnswer: -5, -3, -1, 0, 2762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 824150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 31069688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3 and 99\/34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65791 = -28*x + 39*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/19, -35604, 2\/3 in ascending order.\nAnswer: -35604, 2\/19, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -101?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(2035\/(-4773)))\/(1\/((-40)\/(-96)*-4))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -124. What is the closest to -1 in 2, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 14. Let g(h) be the second derivative of -h**3\/6 + 11*h**2\/2 + 688*h. Calculate g(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 + -178. Let j = -13 + s. Solve j*n + 2*h = 2*n + 2, 8 = 4*n - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 7) + 0 + (9 - (9 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 1. Suppose 2*w - 2*s - 11 = w, -5*w - s = -88. What is the remainder when w is divided by a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 321268 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10671571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920353.7ml to litres.\nAnswer: 920.3537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 27*f + 25 = 0. Let m(s) be the first derivative of s**2\/2 + 7*s + 1. What is m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (9 - 5) - 5. Sort 0, -3, 1, s in increasing order.\nAnswer: s, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2281794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -1267\/23. Let z = 14.1 - 14. Which is the fourth smallest value? (a) 3\/4 (b) z (c) l (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -4, 0.1, -1\/58?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450 + 903 - 453 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) 126 (b) -5 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/72 + 2 + (-22)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 18*b**2 + 8*b - 44. Calculate j(18).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1105 divide 3189030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3085*d*h**3 + 1040*d*h**2 + 8*d*h + 315707524*d - 1 wrt h?\nAnswer: 9255*d*h**2 + 2080*d*h + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 3, k: 5, n: 1}. What is prob of picking 1 d and 1 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1900) + sqrt(1900) + 0 + 1 + sqrt(1900) + ((sqrt(1900) - 2*sqrt(1900))*4 - sqrt(1900) - sqrt(1900)) + sqrt(1900)))**2.\nAnswer: -640*sqrt(19) + 121616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6227 = 1103. Does 61 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 2607 = -1893. Let b be (-56)\/(-36)*k\/(-70). Which is greater: 7 or b?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.97. Let r = 0.27 + u. Let j = -0.5 - 1.5. What is the smallest value in 2, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000090735 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, -4\/7, 5\/2, 2\/7, -19?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3*g**2 + g**2)*((-1 + 3 + 0)*(4 - 1 - 1) - 5 + 1 - 2)*(2*g + 1 - 3 - 3*g).\nAnswer: -8*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4081183 to four decimal places.\nAnswer: -1.4081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770583 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 10) to base 12\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -11, 34, 117, 250, 445, 714?\n\"Answer: 2*v**3 + v**2 + 2*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268369 and 572092.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827525.\nAnswer: 5, 79, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - 226.5. What is the third smallest value in -1, -36, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.9 and -2.\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -10\/59, 5, -0.04, 1\/8?\nAnswer: -10\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 15 = -5*m, -5*m = -0*o - 2*o - 10. Suppose -5*i + 76 = d - 0*i, 404 = o*d + i. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31230.1 + -29972. What is m rounded to the nearest ten?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212090543.4535055 - -212090492. Let x = 52.4535 + q. Let t = -1 + x. Round t to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 57*f**2 - 60*f + 221. Determine q(56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 757\/44 + -745\/44. Do 1.08 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-6)\/(-8))*59\/((-236)\/(-96)). Calculate the greatest common factor of 4192 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.96 - 1. Let p = s - 0.06. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -33*x**2 - 588*x + 87618. Let t(h) = 149*h**2 + 2350*h - 350473. Let d(q) = 9*r(q) + 2*t(q). Factor d(y).\nAnswer: (y - 296)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -8 (b) -4\/9 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (99\/(-66)*4\/6)\/(5\/(-1615)). Calculate the highest common factor of 76 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -8 - (-1 + 2). Let r = 81 - y. What is r rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let n(c) = 22*c**2 + 11*c**2 + 3*c**2. Determine n(i(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248261 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 746 + -743. Suppose 0 = h*l + 3, -1841 = -32*j + 28*j - 3*l. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974725.4 litres to millilitres.\nAnswer: 974725400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/2046, 4, 1\/5 in increasing order.\nAnswer: -2\/7, 1\/2046, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 394747\/4 or 98688?\nAnswer: 98688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, g: 8}. Give prob of picking 2 g.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 97 = 5449*s - 5450*s, -k + 161 = 10*s - 12*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 o when three letters picked without replacement from {v: 1, m: 2, q: 1, o: 1, l: 3, k: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/60 + 2*c**4\/3 + c**3 + 3*c**2 + 23*c. What is d(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7*(5\/500*-25)\/(3\/(-12))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 48)*(14\/8 + -1). Let h = -41 + f. Put -3, 0.06, h in decreasing order.\nAnswer: 0.06, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 78*j - 66*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 - 6*m**3 - 4 - 5*m**4 + 2*m**3 + 10*m**3 - 2*m**2 to u*m**3 + i + b*m**4 + v*m + y*m**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -90000*j**5 + 13018200*j**4 - 8389609*j**3 + 1268302*j**2 + 27935*j + 144 = 0.\nAnswer: -1\/100, 1\/3, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -55. Let f(d) = 5*d + 45. Let i(j) = j + 9. Let q(r) = -2*f(r) + 11*i(r). Let y be q(v). Which is the nearest to y? (a) 1 (b) -0.5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9373*g = -8423*g - 79800 for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68902575049*r**2\/9 + 38848964*r\/9 + 5476\/9.\nAnswer: (262493*r + 74)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = q - 80. Put -0.1, 3, q, -1\/5 in increasing order.\nAnswer: -1\/5, -0.1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 442975. Let f(z) = -z**2. What is i(f(d))?\nAnswer: -d**4 + 442975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 159, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40148122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h + 228. Let i = h + 111. Let c = 19 + -13. Calculate the highest common factor of i and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129908 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4\/5 + 3*t**3 + 19\/5*t**2 = 0. What is t?\nAnswer: -1, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839*c + 376 = -816*c - 176 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118 + -7?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215 or 6?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1, 6161, -14, 0.2 in descending order.\nAnswer: 6161, 0.2, 2\/11, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-4 - 0) + -9) - (80 + -84)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14127289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -241744?\nAnswer: -1\/60436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8651\/616 + 33\/56. What is the second smallest value in w, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -28*l - 168. Let f(u) = -1. Let o(g) = 4 + 5 + 10 - 15. Let v(n) = -3*f(n) - o(n). Let c(i) = -d(i) + 168*v(i). Let a(h) = h. Calculate a(c(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*x + 26*x + 16*x)*(-x**2 - 6*x**2 - 6*x**2 + (3 - 3 - 1)*(0*x**2 - 3*x**2 + 2*x**2) + 2 - 2 + 2*x**2 + (1 + x - 1)*(3*x - x - 3*x)).\nAnswer: 220*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/60 + (-18)\/10. What is the units digit of (-40)\/(-3) + p\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*d - 3*g, -d + 2*g = -6*d + 43. Suppose -5*c + d*c = 20. Suppose -2*j + 2*h + c = 0, j + 0*j = -4*h + 10. Is j <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y + 30 = 5*r - 35*y, 2*r = -3*y + 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let a = -16 + 17. Let v = a - o. What is the second biggest value in 2, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1001 - -2)*(-2)\/2. Let f = -13057\/13 - l. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 1. Let q be x + 0 - (-1)\/1. Let b = q + 7. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 7\/5. Which is the nearest to i? (a) 6 (b) 0.5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18592 is divided by 1429.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20*p + 44 = -24*p, 4*x + p - 52 = 0. Is -218*(2\/(-5))\/(x\/15) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3 - 3*b**2*r - 7*b*j*r - b*r - 8*j*r - 7*j wrt b?\nAnswer: 3*b**2 - 6*b*r - 7*j*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*g**3*s*t**2 + 3*g**3*t**3 - g**3 - 9*g**2*s*t**2 - 2*g**2*t**2 + 125529*s*t**3 + 3*s*t**2 wrt t?\nAnswer: 18*g**3 + 753174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100010110011100 (base 2) to base 5.\nAnswer: 14231032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - w**3 + w**4 - 2*w**4 + w to x*w**3 + y*w**2 + t*w + i + z*w**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5\/2 - 441*s**4\/2 + 9543*s**3\/2 - 46503*s**2\/2 - 91065*s + 371124 = 0 for s.\nAnswer: -4, 3, 13, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 6 - 2)*(0 - 3 + 1) - 1 - 3 + 2 - 6 + 4 - 6)*(-5*m**3 + 4*m**3 - m**3) as p*m + q + r*m**3 + y*m**2 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 3. Suppose 5*u = 50 - 5. Let q(n) be the third derivative of -n**5\/20 + 7*n**3\/6 - 56*n**2. Determine u*s(a) + 4*q(a).\nAnswer: -3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*q**4 + q**2 + 143942*q + 19984932.\nAnswer: 304*q**3 + 2*q + 143942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 125. Let q(c) = 3*c + 44. What is the remainder when s is divided by q(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.65 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7165306599.\nAnswer: 3, 11, 127, 1709689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -1.18. Let m = q - 2. Let g = 0.03 + -3.03. Which is the third biggest value? (a) g (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1274585\nAnswer: 637292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8*2873023\nAnswer: -22984184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*c**2 + 2014*c**2 + 2268*c**3 + 190*c**2 - 2266*c**3 - 260*c**2 as p*c**3 + l + x*c**2 + m*c and give x.\nAnswer: 1845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4053 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 11*s - 388 = 0, -2*n - 4*s + 42 + 11 = -69 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42394219*x**2 + 70595390*x wrt x?\nAnswer: 84788438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-20))\/((-2)\/5). Let m be (408\/22)\/h - (-3 - -5). Which is bigger: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + m - 1. Suppose 6 = 3*u - 0*p + 5*p, 0 = 5*u - p - 10. Calculate s(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - -10) + (162\/(-39) - -2). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 4*h**4 + 3*h**4 + (-5*h + 2*h + h)*(-h**3 + 0*h**3 - h**3) + 410*h**4 - 259*h**4 - 264*h**4.\nAnswer: -108*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 17. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -171383\/604 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2678*h + 235509. Give y(88).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**4 + 38*c**3 + 44*c**2 - 78*c - 18. Let s(d) = d**4 + d**3 - d - 3. Let p(z) = 6*s(z) - w(z). Factor p(j).\nAnswer: 4*j*(j - 9)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1851*t**6 + 548*t**2 wrt t?\nAnswer: 222120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 4*z - 3. Let h(i) = -5*i**2 + 3*i - 2. Let y(q) = -3*h(q) + 4*v(q). Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2192856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/599, -1.6, -1\/7, 3?\nAnswer: 2\/599","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 3. Suppose 0 = -3*t + y. Let z = -5 + t. What is the second biggest value in z, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x**(-5)\/x)*x)\/x))\/x*x*x**1*x**20*x*x**4)**(21\/5) assuming x is positive.\nAnswer: x**(441\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5490401639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 205*w - 1089. Let m(r) = -r**2 + 68*r - 363. Let o(d) = -2*l(d) + 7*m(d). Factor o(g).\nAnswer: -3*(g - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971599051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(18)\/(sqrt(6) + sqrt(6)*1) + -2 + (sqrt(24)\/(sqrt(2) - sqrt(18)))\/sqrt(4))**2*-3.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3\/2, 2\/7, -0.3 in increasing order.\nAnswer: -26, -3\/2, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**2 - 8*t**2 + 2*t**2)*(5*t - 2 + t - 4*t) as f*t**3 + y*t**2 + a*t + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*r - 4, 0 = -3*j + 4*r + 3 + 3. Suppose -j*z - 6 = -16. Suppose 0 = 4*g - 2*w - 354, -z*w = -2*g + 281 - 92. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1471828*v - 640. Let f be o(120). What is f rounded to the nearest 1000000?\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831201 is divided by 2856.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p, i - 34*p - 6167 = -29*p. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwyw. Give prob of sequence ww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxluxslxusxuxx. What is prob of sequence sx?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -12 - 2) + 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 27, 41, 53, 63, 71, 77?\n\"Answer: -h**2 + 19*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) -1 (c) 4 (d) 2\/7 (e) 449 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h - 5. Let n be b(-1). Let x be (60\/9)\/(n\/(-54)). Suppose 0*q + x = 10*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 6, p: 2, f: 1, j: 3}. What is prob of sequence jk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -866 divided by -433\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 0. Suppose 17*b - 255 = a*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7768 and -12115 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4 + 3 + 0). Let y be (2 - m) + 8\/(-8). Factor 144*i - 30*i**2 - 32 - y*i**2 - 34*i**2 + 8*i**3.\nAnswer: 2*(i - 4)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 15*n - 6. Let w(d) = -9*d**2 - 29*d + 11. Let c(t) = -11*b(t) - 6*w(t). Find the second derivative of c(k) wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 24723818?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*j + 1 = -3*j, 2*j = -5*m + 11. Suppose 2*l - 13 - 31 = 0. Calculate the remainder when l is divided by 3 - ((m - 1) + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttyttt. What is prob of sequence yt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.891 to 0 decimal places.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -15*n**3 + 11*n**2 - 18*n - 39. Let u(c) = 4*c**3 - 3*c**2 + 5*c + 10. Let z(x) = 6*k(x) + 22*u(x). Calculate z(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 5:09 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 834575669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29056652 - 14*m + 29056647 + 2*m + 3*m.\nAnswer: -9*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t - 51*t + 31*t + 17*t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-2))\/((-2)\/4). Let f(y) = y**2 - 10*y - 5. Suppose 22*q - 78 = -100. Let m(b) = b. Let u(z) = o*m(z) + q*f(z). What is u(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxdz. Give prob of sequence xz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 29 (b) -0.1 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-66)\/(-561) + ((-3)\/2 - (-3114465)\/170)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.091 - -0.009. Let w = p + -3.4. Let n = -0.3 - w. Which is the third smallest value? (a) n (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19648, -19824, -20116, -20524?\n\"Answer: -58*i**2 - 2*i - 19588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 0 - (-48 - -48).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9843414 by -294.\nAnswer: -33481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-120)*3\/((-9)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 - 37 = 4*h. Let k = h - -667. What are the prime factors of k?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3 = -3*c, 3923*c - 3*m + 11 = 3927*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -72*f - 1077. What is g(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18*s. Let p(q) = 13*q. Let h(k) = -5*i(k) + 6*p(k). Let j(d) = 2*d - 6. Give h(j(z)).\nAnswer: -24*z + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l - 5. Let f be c(7). Is 17 a factor of (2 + 0)\/(6\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 67090546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 5. Let d(c) = -2*c**3 - 7*c**2 + 7. Suppose 0*m + 3*m + 5 = 2*q, -4*q - 5*m - 45 = 0. Calculate q*d(f) + 7*k(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252756 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 3494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -791, -1770, -3141, -4904?\nAnswer: -7059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-15) - (-48)\/10. Suppose d = s*m + 15 + 10, -4*m = 16. Let t(j) = j**2 - 4*j + 5. Calculate the remainder when 37 is divided by t(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.649605 rounded to two dps?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5055*k + 84265 = -203870 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15 - -38 - (-2 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(0 + 4*s + 2 + 0*s) - 40 + 40 + 13*s.\nAnswer: s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/3)*y)**(1\/4)\/(y\/(y*y**(-2\/5))*y)**(-24) assuming y is positive.\nAnswer: y**(514\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/(b**(3\/11)\/b)*b)*b**(4\/7)*b*b*b)\/((b*b**(-1\/15))\/(b\/b**(-1\/4))) assuming b is positive.\nAnswer: b**(19223\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -162, -158, -154, -150, -146?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + p**2 - 2*p + 12. Calculate the remainder when 69 is divided by q(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let r(c) = 93*c + 16. Let m(p) = 31*p + 6. Let q(i) = 8*m(i) - 3*r(i). Calculate v(q(x)).\nAnswer: 961*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 1. Let w = 41 - 115. Let c = -49 - w. Suppose c = g - 6*g. What is y(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25a0 (base 12) to base 10\nAnswer: -4296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80749730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77613*y**3 - 11*y + 11*y - 15415*y**3.\nAnswer: -93028*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/6*42\/(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-2*d + 3*d + 0*d) + 1 - 1 + 4*d + (2 + 1 - 1)*(-d + 5*d - 2*d) + d - 3*d + 0*d - 3*d - 8*d - 9*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320146 + 320244. Suppose 4*d = 5*d. Suppose d = -4*u + 27 - 7. Calculate the smallest common multiple of y and u.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vororrvvorrgo. What is prob of picking 1 o and 2 v?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40014 - -114167. List the prime factors of l.\nAnswer: 29, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98576653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/560)\/(52\/(-14))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.97 + -0.9. Let o = k + -0.27. Which is the third smallest value? (a) 2\/9 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8\/(-96)*16*(-6)\/(540\/(-21)).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 494170.\nAnswer: 4447530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 24 - 5244. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28501, 114050, 256631, 456244, 712889, 1026566, 1397275?\nAnswer: 1825016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -97*k**6\/60 + k**4\/24 + 5*k**3\/3 - 8*k**2. Let c be o(-10). What is c rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)*1*(-5)\/1. Suppose 3*h - 30 = -f*g, -5*g = -g - 5*h - 61. Sort g, 7, -3.\nAnswer: -3, 7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r**2 + 2*r - 1. Let f be d(1). Let l = f - -16. Solve -5*o + 28 = l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 1. Let s be g(2). Let c(k) = s*k - 14*k**2 - 6*k + k**3 - 5 - 3 + 9*k. List the prime factors of c(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2221?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111001000 - -10010?\nAnswer: -1010110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*u + 13, -8*l + 10*l - 4 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*l**2 - 1 - 38*l**2 - 2*l**3 + 25*l**2 - 4*l**3 + 7*l**3 - 10*l in the form f*l**2 + n*l**3 + m*l + u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21139696, 21139694, 21139692, 21139690, 21139688?\n\"Answer: -2*t + 21139698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.209 * -15\nAnswer: -3.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - 3*c**2 + (-5*c + 2*c + c)*(-1 - c + 1) - 3*c**2 - 4*c**2 + 3*c**2)*(-4 + 5 + 1).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**3 - 137 + l - 488 - 8*l**2 + 627 + l**4 as b*l**2 + u*l + y + c*l**3 + s*l**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -423106 divided by -145\nAnswer: 423106\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 18 = -2*b, 838*b - 6*x = 824*b - 122 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i + 4. Let b be j(-2). Let y(o) = 5*o**3 - 14 - 5*o + 3*o + o - 4*o**3 - 12*o**2 + 6*o. Is y(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 1911, 4389, 7879, 12393, 17943?\nAnswer: 24541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 30\/(12\/(-2)) + 140\/80*-24?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63.1 + 63.6. What is the closest to 1 in -1, b, -0.2, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 2. Let i be s(-2). Suppose -5*d + 18 = -i*d. Let o be (-1 - 3) + 3 + d. What is the greatest common divisor of o and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180630985 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -f - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - g = 23, 288*g = -5*a + 292*g + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/8 (b) 0.01 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 0.13 (b) -1 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*v**2 + 153*v + 33 = 0. What is v?\nAnswer: -11\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -15, 89 in descending order.\nAnswer: 89, 3, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*q = 189*q + 392 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqbb. What is prob of sequence qq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2 - 1044*l + 2094*l - 1051*l. Let d(x) = -2*x + 2. Let k = 8 - 4. Let u(h) = k*d(h) - 3*n(h). Give u(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*z**4 + 3 + 8*z**2 - z**3 in the form g*z + p*z**4 + r*z**2 + c*z**3 + v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 9*w + 9. Let z be (5\/(-3))\/((-35)\/(-30) - 1). Let t be r(z). Let k(l) = -26*l**2 - l - 2. Determine k(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-40))**(-27) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 129218, 366, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 57 = -0*t - 3*t, 0 = 4*t - 2*j - 52. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70\/51? (a) -2\/7 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f = 84*f - 104 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 - -0.178.\nAnswer: 0.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6241\/2 - 6557\/2*u + 160*u**2 - 2*u**3.\nAnswer: -(u - 1)*(2*u - 79)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1259, -2462, -3609, -4682, -5663?\nAnswer: -6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2802, 5898, 9292, 12984, 16974, 21262?\n\"Answer: 149*z**2 + 2649*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m - 616. Let f = m - 4324\/7. Find the common denominator of f and (-18)\/108 - 112\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.5 + 42.04. Let k = -0.46 - j. Which is the closest to 2\/7? (a) k (b) 0.09 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/30 - 12\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 2*s**2 + s - 1. Let y be f(2). Let z(r) = 6*r**2 + r. Let x be z(y). Suppose x*w - 120 = 2*w. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*x - 425, 2*x + 3*x = -4*u + 450. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 120 = p - 0*p, 0 = 3*p - 12. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.53 - 0.33. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14641 + -14613. Which is the biggest value? (a) x (b) -8\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55\/26 or 2?\nAnswer: 55\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 8*t. Suppose t = 5*j - 41 + 1. Calculate the remainder when 37 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from pnonnnnnlnpnn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109769036.\nAnswer: 2, 13, 919, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26269971 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*o - 27, o = -j + 41 + 1. Suppose -3*g + 412 + 191 = 0. What is the remainder when j is divided by 2\/(-5) + g\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 8 = 4*v, 16 = 2*v + y - 5*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k + 29495214061 - 29495214061.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*x = -453*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 10381 - 343*p - 10381 to the form s*p**2 + y + n*p and give n.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3 + 3*k**2 - 5*k. Let c(i) = -i**2 + 19*i - 18. Let n(o) = -3*c(o) - 8*j(o). What is l in n(l) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3475.5948 - -4607.\nAnswer: 8082.5948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -780 greater than -3492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.003, -4, -2\/9 in descending order.\nAnswer: 5, -0.003, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5607645906.\nAnswer: 2, 3, 167, 1129, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -48 (c) -2\/3 (d) -1\/5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5947510.\nAnswer: 2, 5, 594751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 1709?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 3*m - 2. Let o be x(4). Suppose o*v = 4*j + 6, j - 1 = -5*v + 14. Suppose 0*s + 5 = s, j = -2*q + 2*s + 30. Solve q = 6*d - 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.5 + 1.5. Let m = 1.4 + -1. Let x = 155\/66 + -24\/11. Which is the biggest value? (a) m (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*w - 5234, -3*r = -9*w + 7*w - 3134. List the prime factors of r.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -488*y - 4. Is j(-2) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5216\/1455 + 3\/1940. Calculate the common denominator of 91\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 4*j**2 - 4*j + 3. Let h(v) = -v**3 - 3*v**2 + 3*v - 2. Let a(x) = 8*h(x) + 5*m(x). Let s(k) = -k**3 + 3*k**2 - 3*k. Give -3*a(o) - 4*s(o).\nAnswer: -2*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2))\/((c\/c**(2\/21)*c*c*c)\/c)*(c*c**(-2\/19)\/c*c*c)\/c**(-9) assuming c is positive.\nAnswer: c**(4385\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 2. Let t be k(-5). Let m be (-34)\/t - 15\/(-3). Sort m, 0.2, 14 in increasing order.\nAnswer: m, 0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927254131.\nAnswer: 11, 29, 6041549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3976 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1. Let d(w) = -5*w**3 + 5. Give d(t) - 6*n(t).\nAnswer: -5*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -279, -4, 265, 13 in decreasing order.\nAnswer: 265, 13, 1, -4, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1070740 divided by -1070740\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - ((-10 - -4) + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.001158 times 0.1\nAnswer: 0.0001158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2476 - 5?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44175801 to the nearest integer?\nAnswer: 6646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 782679833 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 10:33 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + k**2 - k. Let c(b) = -285*b**3 - b**2 + b. Determine -c(o) - v(o).\nAnswer: 284*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -881, -6794, -22809, -53972, -105329?\n\"Answer: -841*g**3 - 5*g**2 - 11*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*y + 348462 + 1000 = 0. List the prime factors of y.\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 18\/11 (b) -9.8 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 18 (c) -4\/9 (d) 0.05 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(273)*1)\/sqrt(7))\/(sqrt(144)\/sqrt(3)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 8*u**2 - 31*u - 113. What is c(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2555*u**2 + 826*u**2 - 152*u**2.\nAnswer: 3229*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/231)\/((-13)\/((-182)\/(-4)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/46 >= -558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 890971295\/552 + -1614079. Let q = u + 14\/23. What is the biggest value in q, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.513228 - -243172734?\nAnswer: 243172734.513228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*v - 30. Solve v*f = -2*j + 8, 3*f + 4*j - 3 = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 67*d**2 + 72*d + 1334. What is x(-34)?\nAnswer: -2270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(1216) + 5)*3.\nAnswer: -96*sqrt(19) - 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2 - 7 - 10*u**2 + 5. Let v(b) = 22*b**2. Let r(c) = -4*v(c) - 9*y(c). Let n(o) = 8*o + 2. What is r(n(i))?\nAnswer: 128*i**2 + 64*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (59 - 15) + -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/2, 3, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 17002?\nAnswer: -17000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*z - 2*z - n, 4*z = -5*n + 426. What are the prime factors of z?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 948 and 928803?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381*p**2*z**5 + p**2*z**2 + 2*p**2 + 2*p*z - 460*p + 4 wrt z?\nAnswer: -7620*p**2*z**3 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292426 by -2.\nAnswer: 146213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1527 + 1526. Which is the biggest value? (a) l (b) -2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552\/(-116)*((-5)\/2)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0496 + 13.0746. Let l = -13 + r. Let z = -0.445 + l. What is z rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -3 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 1155?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007878 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/297776 and -27\/209642?\nAnswer: 843599408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, c: 7, q: 1}. Give prob of sequence hccq.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -7*n**3\/6 + 7*n**2\/2 - 3*n. Let u(v) = -36*v + 22*v - 8 + 22*v. Determine -6*b(y) - 5*u(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148619750.\nAnswer: 2, 5, 37, 16067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 17*f + 9. Let l be w(10). Suppose 4*p - 2*q + 228 = 0, q = 2*p - 3*q + 120. Let n = p - l. Solve 5*v + 0*o = 2*o + 29, 17 = n*v + 4*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64.6027085 - 131.39730366. Let b = a + 196. What is b rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 - (3 + -4 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 71\/3 of a hour?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -240*r**2 - 5*r - 1. Let p(t) = 360*t**2 + 8*t + 2. What is 8*a(s) + 5*p(s)?\nAnswer: -120*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, z: 4, h: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/9 and -43\/367305816.\nAnswer: 1101917448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205969\/175 or 1176?\nAnswer: 205969\/175","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 3*-2*(sqrt(170) - (sqrt(170)*2 + sqrt(170))*-4)\/(sqrt(10) - sqrt(30)\/sqrt(3)*3).\nAnswer: 1 + 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 137 and -67636?\nAnswer: -9266132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + -14 + 17. Suppose 3*j = -v + 14, 3*j - 8*j + 16 = -z*v. Solve 7*u - 5 = v*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -22.1032, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let y be 2 + 4\/(16\/4). Let m(o) = 3*o**2 + o**y + f - 1 + o - 2*o**2. Determine m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 1207 - 5858 = 0. Suppose 0 = 6*w - q + 191. Calculate the least common multiple of 144 and w.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14507624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(3)*2 + sqrt(3)) - 1*(-2 + sqrt(18)).\nAnswer: -7*sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(1\/55)*x\/x**(2\/13)*(x*((x\/(x\/x**(1\/2)))\/x)\/x)\/x assuming x is positive.\nAnswer: x**(-961\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*w + 5 = 0, m - 4*m + 3*w = 3. Let n be 20\/4 - (2 - m). Solve 5*l = 5*o - 5 - n, -4*o = 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 20460*t**3 + 34863816*t**2 - 19756039568*t - 59582445792 = 0.\nAnswer: -3, 1706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*z - 6 = 0, -z - 12 = -5*z. Suppose p - 91 + 17 = h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5118335.46 minutes?\nAnswer: 507.771375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 23*z + 48. Let c = -8 - z. Let r(h) = 8*h. Let d(n) = 9*n. Give c*r(i) - 3*d(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 4. Let q(i) = 15*i + 79. Let m(p) = -14*h(p) - q(p). Suppose 0 = -5*n + 20, b = 2*n + n - 25. Determine m(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 11. Let l be r(-13). Suppose 0 = l*g - 25*g + 140. Is 29 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 9:28 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1293*s**2 - 30*s - 6. Let t be l(2). Is t - 6\/12*-16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275 + 270. Suppose -242 = 5*s - 227. Sort u, 21, s.\nAnswer: u, s, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrdl when four letters picked without replacement from lrrrrrrrrddrrrdrlr.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1344\/24 + (-2 - -1)*12\/(-16)*-4\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7046 - -3?\nAnswer: -7043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -9)\/(-2 + 0 - -6). Which is bigger: s or -4\/51?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7491 by -6.\nAnswer: -2497\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -165*n + 613*n + 54 - 180*n - 191*n in the form f + i*n and give i.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -316 at most as big as -318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, s: 3, o: 4}. Give prob of sequence oo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81.022 and 1.4.\nAnswer: -113.4308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1550 = 4*q, 2*q + 4*m + 1931 = 7*q. Calculate the greatest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -580 - 1.807\nAnswer: -581.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((2 - -10) + 14 + -19).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.9 + 0.31.\nAnswer: 21.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 56, -0.246 in descending order.\nAnswer: 56, -0.03, -0.246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 144?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135222, -135248, -135310, -135426, -135614, -135892, -136278?\nAnswer: -136790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -732, -2428, -5404, -9660, -15196, -22012?\nAnswer: -30108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8768*l**2 - 3357*l - 45089046 wrt l.\nAnswer: -17536*l - 3357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2685083 to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00317082273 rounded to seven dps?\nAnswer: -0.0031708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0*z = 4*z + 2, 3*z - 9 = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**24*v**(-33) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5, 4, -1, -280, 9, -5 in ascending order.\nAnswer: -280, -21, -5, -1, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 759683446 - 759683499.19999862. Let n = w + 53.2. Round n to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - 0.5. Let f = 193.07 - 192. Let r = f + -4.07. Which is the smallest value? (a) z (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2687000 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*j = 6328 + 23480 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/(-2)*3. Suppose -7 = -x - 4. Suppose -w = -x*w. Solve h + v*h - 6 = w, 5*h = 3*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s = -3*i - 37, -3*s - 5*i + 6 = 0. Calculate the lowest common multiple of s and 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 49719.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2))\/((-2)\/(-28)). Let g = j - -17. Let v be (12\/g + -7)\/(-2). Solve 0 = -3*h + 4*h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 - 3*b - 7. Let c(s) = -s**3 + 11*s**2 + 3*s - 3. Let i be c(11). Suppose -2 = u + 5*z + 13, -4*u - 5*z - i = 0. Determine j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -2. Let i = -712374.939 + 712395.93900031. Let j = i - m. What is j rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h + 34. Let g(s) = 6 - 5*s**2 - 30*s - s**3 + 0*s**2 - 30*s + 67*s. Give g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 15736.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 9*m**4 - 2*m**2 - 13*m**4 + 2 in the form g*m**4 + k*m**3 + t*m**2 + s + z*m and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1134 divided by 81\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1551 and 1266039.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxypyxspbkbxybp. Give prob of picking 1 y and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/i)**(-33))**40 assuming i is positive.\nAnswer: i**1980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/167 in 1, 6\/7, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -16. Let g = 6 + o. Solve 0 = 3*k + 15, 3*a + 25 = -g*a - 2*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 4, y: 3, s: 2, c: 9}. What is prob of sequence yys?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45 - -29)\/(-128))\/((-3)\/(-15))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204c36 (base 15) to base 13.\nAnswer: 4198b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1110993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4)*(-946)\/(-11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u = 41*u - 52. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*a - a. Let w be ((-16)\/(-24))\/(a\/(-30)). Solve 0 = -j + 10 - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Let j = -9 - -6. Let a be (j\/2)\/(3\/4). Let w(v) = 4*v**2 + 2*v - 1. Let f(u) = 9*u**2 + 4*u - 2. Give a*f(l) + z*w(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380, -9, 3, -2 in descending order.\nAnswer: 380, 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 451*x + 5 + 2 as s*x + w and give s.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-45)\/270)\/((-1)\/1))*(-4)\/(-51).\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.355 and -4.\nAnswer: -25.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from aquraruuuuqruruuqru?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d + 3. Let j(z) = 27*z - 13. Determine -6*j(x) - 26*o(x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -12, 4, -5, 0 in descending order.\nAnswer: 4, 3, 0, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000124675 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 4. Calculate the remainder when 77 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60635, 121269, 181891, 242495, 303075, 363625?\nAnswer: 424139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182207715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, z: 6, f: 2, j: 1, a: 3}. What is prob of picking 1 j, 1 a, 1 f, and 1 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3092 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-3*sqrt(128) + 0 + sqrt(128)))**2 + sqrt(128) + (3 + (-2*sqrt(128))**2 - sqrt(128)) + ((sqrt(128) - sqrt(128)*-2) + sqrt(128))*-4 + 5)*1.\nAnswer: -128*sqrt(2) + 5128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -887, -488, 179, 1114?\nAnswer: 2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19529*k = 19571*k + 378 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20239101437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*i, 20*i - 3*s = 22*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11783 is divided by 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 2)\/((-19)\/(-114)) - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5*m + 168, -45*n + 43*n + m = -84. What is the highest common factor of n and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 6*h**2 + 2. Does 11 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416 - 165 = -347*z - 928 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-1\/19)\/q)\/q)\/q*q)\/(q*q**(-10)))**(-7\/4)*q\/q**(-3\/10)*((q*(q**0*q)\/q)\/q*q)\/q*q*q**(-2\/5)*q**(-7) assuming q is positive.\nAnswer: q**(-3279\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2. Let l(f) = 5*f - 2. Let i(j) = -11*j + 5. Let s = 77 - 82. Let b(u) = s*l(u) - 2*i(u). Calculate o(b(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*l + 12 = -4*a - 182*l, -40*l + 92 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:39 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621778061 take away 0.9?\nAnswer: -1621778061.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 53. Give r(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5365.63713 rounded to zero dps?\nAnswer: -5366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292183848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - (2 + -4)) + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:42 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54496933 to the power of 1\/2, to the nearest integer?\nAnswer: 7382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23902 - 4?\nAnswer: 238cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - -85. Suppose 0*n = -2*n + 3*a + p, 3*n - a - 229 = 0. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1.56. Let d = j - -1.43. Let f = -0.01 - d. Which is the third smallest value? (a) f (b) 0.1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 157 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 - x**2 + 2*x + 2. Let t be g(-1). Let o = -1.8 + 2. Which is the third biggest value? (a) o (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.017 - -4.983. Suppose 0 = 3*r, -5*h + 22 = 4*r - 23. Suppose 18 - h = 3*b. Sort 1\/6, x, b.\nAnswer: 1\/6, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c*c)\/c)**(-33)\/((((c**(-1\/4)\/c*c)\/c*c)\/c)\/(c*((c\/(c\/(c**(5\/4)*c)))\/c)\/c*c)) assuming c is positive.\nAnswer: c**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 27 + 22. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*d - 12*d + 5*c - 21, -5*d + 2*c = -18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 521016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4334 divided by 394\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5448*c**5*i + 6*c**5 - c*i - 320*c - 5*i + 3 wrt c?\nAnswer: -108960*c**3*i + 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 197 = k, 3*x + 257 - 85 = -4*k. Let f = 97 + x. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2977 and 76161507.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -742140819 by 5048577.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/100137 and 35\/5433.\nAnswer: 181348107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)*-2 + sqrt(70) + -1*sqrt(70)*-1)\/(2*sqrt(90) - sqrt(250)*-4) + -3.\nAnswer: -3 + 3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 81*i + 334. Determine y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109964.\nAnswer: 2, 3, 17, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1094902, 1094877, 1094852, 1094827, 1094802, 1094777?\n\"Answer: -25*i + 1094927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - -43) + 64 + -174?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 0.4, 0.3, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 8:11 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2744.044 to zero dps.\nAnswer: -2744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 8*l)*(l**3 - 2*l**2 + 2*l**2) + (-3*l**3 + 4*l**3 + l**3)*(-2*l - l + l) - 4*l**4 - 3*l**4 + 5*l**4.\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 9*k + 7. Let f be h(8). Let j = 2 - f. Solve -2 = -5*l + j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3791565.\nAnswer: 3, 5, 109, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 420 - 424. Let m(l) = 440*l**2 + 5*l - 7. Is m(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34755 and 6300.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 5278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 19. Let n be m(-18). Calculate the greatest common factor of n and 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-4))\/(m*m\/(m\/(m**(-4\/7)*m*m)*m))*m\/(m*m\/m**(-1)*m)*m*m**(2\/17) assuming m is positive.\nAnswer: m**(-513\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2144 and 57\/30446944?\nAnswer: 30446944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.15 + 0.15. Let b = -20940629.0000164 + 20940620. Let w = d - b. Round w to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 - 14*o**2 + 10*o**2 in the form k + g*o + v*o**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -4. Let r(d) = -d**3 + 4*d**2 + 8*d - 7. Let p be r(5). Suppose 5*b - p*b = -21. Solve b*q - 2*q + l = 3*i, i - 13 = 4*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2975\/225 + -13 + -1*(-1374)\/(-108).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 17*m + 3. Let s be 4\/m*(-2)\/((-12)\/(-3)). Suppose 0 = -q + 5, -3*b - s*q + 6960 = 2*b. What is b rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-110)\/(-10) - (-41 + 3). Suppose -3*r - 2 = 3*k + 7, -2*r = -5*k + 20. Let a(n) = -1 - 2*n - 51*n**3 + 4*n**k - 1 + u*n**3. Calculate a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5737 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-90)\/(-9))*5\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/33242267 and 23\/201392?\nAnswer: 531876272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6430, 12796, 19106, 25366, 31582?\n\"Answer: f**3 - 34*f**2 + 6461*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 11*n + 30984325*n**2.\nAnswer: 30984325*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/5 - 68216*w**3 - 2908389160*w**2.\nAnswer: -2*w**2*(w + 85270)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(6) + 0)*-3.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 85 + 16 + 7.\nAnswer: 11*j - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4*g = 3*a + 7, 4*a = 5*g + 30. Suppose -4*t - 2*j - 2*j + 96 = 0, a*j = t. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -6*x. Let r be (x - 3)\/(2\/(-8)*2). Solve 3\/5*f**3 - 6\/5*f**r - 3\/5*f + 6\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/99 and 25\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 19 = -7. Let g = 95 + q. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101001010110100 (base 2) to base 16.\nAnswer: 152b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 7*p**2 - 2*p - 9. Let q be h(-7). Let l(z) = -z + 7. Let d be l(q). What is the derivative of -1 - 3 + d*c**2 + 3 wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*b + 35935 - 35875 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**5 + 22*s**5 + 6*s**5)*(5 - 2 - 2) - 4*s**5 - 3*s**5 + 5*s**5.\nAnswer: 25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 265*q**3 - 201*q**2 - 132*q**3 + 262*q**3 wrt q?\nAnswer: 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + 0 + 0 + (3*o - o - o)*(-o**2 + 0*o + 0*o) + 2*o**3 + 0*o**2 + 0*o**2 - 5*o**3 - o**3 + 3*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from aywqxyxb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5033105 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*u**6 - 210*u**2?\nAnswer: 14040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from dxflddedfxf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 5*i - 5 + 4*i - 2*i. Is c(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjj when three letters picked without replacement from jttj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01797418993 to six decimal places.\nAnswer: 0.017974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10263433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11, 0.3, -24\/25?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c. Let s(a) = -6*a**2 - 352*a. Determine g(s(j)).\nAnswer: -18*j**2 - 1056*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207300 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19114162*o**2*w**3 + 2*o**2*w**2 - 320*o*w**2 - 59*o*w - o + 3*w**2 + 9*w wrt w.\nAnswer: 114684972*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-29 - ((-2 - 9) + 3 - -11 - 2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45474 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/5? (a) -2\/21 (b) -2458 (c) 1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 859943.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -5, 41 in descending order.\nAnswer: 41, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 98848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8924*m**3 - 2*m**2 - 2*m - 2. Let t(i) = 17847*i**3 + 5*i**2 + 5*i + 5. Determine -5*g(h) - 2*t(h).\nAnswer: 8926*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-1)\/(-4)) - 0. Suppose -1 = p - 3*i - 0, -4*p - u*i = -76. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9838350\/13 or 756795?\nAnswer: 9838350\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 205141*s - 2*s**2 + 205141*s.\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -595\/4 - -2983\/20. What is the third biggest value in -0.5, h, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 10) to base 8.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*v - 3*v = 10, 4*x = -2*v - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 12 - 19 - n - 15.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y - 2*y - 23 + 6 - 5. Does 11 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4996 and -0.5.\nAnswer: -0.7498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (385 - 6*c**3 - 4656*c**2 + 4656*c**2)*(-2*c + 3*c - 2*c) + (-4*c**3 + 2*c**3 + c**3)*(-3*c + 2*c + 0*c).\nAnswer: 7*c**4 - 385*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from qbqlbiblkqqqbbqbnn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 2. Let s be o(-3). Let w(h) = -5*h - 66. Let g be w(-20). Let z = s + g. Calculate the remainder when z is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2947, 23923, 80935, 192007, 375163?\n\"Answer: 3004*u**3 - 6*u**2 - 34*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -311*i**2 + 213 + 290*i**2 - 15*i**3 + 177 + 242 wrt i?\nAnswer: -45*i**2 - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.99 to one decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1 + (-3 + 7 - 2)*(3 - 5 + 3) - 1 - 1 + 4)*(-10*f + 7*f + 5*f) in the form d*f + c and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6304 - 2483?\nAnswer: 3931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdz when three letters picked without replacement from {o: 3, t: 3, z: 5, p: 2, d: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + 3*b + 20*b - 2 with respect to b.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 6*w + 13. Let h(b) = -19*b**2 + 16*b - 36. Let p(d) = 4*h(d) + 11*m(d). What is p(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38 + 14*d + 36 - 56 wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4214 = -38*p - 110. Let t(y) = 2*y**2 + 2*y + 4. Calculate the remainder when p is divided by t(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3.4. Let q = c - 6.4. Let j = -3 + 3. What is the nearest to -5 in q, 3\/5, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 495 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -3 - 3) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from xsaammttma.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/18*(-15)\/(-10))\/((-749)\/(-11235))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21364686 to the nearest ten thousand.\nAnswer: -21360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c + 2*c - 52 + 59. Let l be y(-15). Suppose r - 4*q = 47, 2*r - q + l = 4*r. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0738 - -0.3262. What is the second biggest value in 153, -1, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/98 and (-6)\/98*(-636)\/36.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -17*c - 144. Let o(g) = 19*g + 192. Let s(l) = 4*n(l) + 3*o(l). Let x(w) = 132*w. Determine x(s(a)).\nAnswer: -1452*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15022.78 rounded to the nearest 100?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 + c + 3. Let n be z(0). Suppose -8*i - 4499996 = -n*i - m, m + 4500004 = -5*i. What is i rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) + (-25)\/(-180)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/27*432\/36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1165608 divided by -3\nAnswer: 388536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/16 (b) 4 (c) -82 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g. Let r(h) = 23759*h. Give r(x(k)).\nAnswer: -47518*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5875732.\nAnswer: 2, 1468933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*b**3*x**5 - 2*b**3*x - 48*b*x**5 + 1512*x wrt x.\nAnswer: -1180*b**3*x**3 - 960*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/110)\/((-4)\/(-16))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83592 divided by -9?\nAnswer: -9288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4282 plus 0.91?\nAnswer: -4281.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose -d*h - 4*l + 6*l - 2 = 0, 5*l + 20 = 0. Sort 5, -4, h in increasing order.\nAnswer: h, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10341 + -51667\/5. Which is the smallest value? (a) -2 (b) 2\/7 (c) -0.01 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32305 + 6?\nAnswer: -32266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -0.0024.\nAnswer: -0.0976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 + 0 - (-14 - (48 + -68)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 4 + (3 - -11). Suppose x - p = 11. Calculate the greatest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 + 7117*l**2\/5 - 114064*l\/5 + 456512\/5.\nAnswer: (l - 8)**2*(l + 7133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1011662, -2023326, -3034990, -4046654, -5058318, -6069982?\nAnswer: -7081646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 1, o: 2, z: 6, p: 4}. Give prob of picking 2 w and 2 p.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98933.6l?\nAnswer: 98933600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132673063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 2. Suppose -4*b - 3*p = -2*b + 59, b = -4*p - 42. Give q(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 38*y = 29808. Is 52 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 621674.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 9:33 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -24*o - 9. Suppose -3*c - 4*t - 17 = 0, -4*t = -3*c - 2*t - 41. Let g be u(c). Suppose -4*k + g = k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddttdtd. Give prob of picking 1 t and 2 d.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 84.000172. What is l rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465, 929, 1393, 1857, 2321?\nAnswer: 2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99734.\nAnswer: 2, 47, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:14 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 3*a - 1. Let f(y) = -y**2 + y. Suppose 3*c - 2 + 15 = -2*k, 5*k - 2*c = 15. Give k*q(l) - 3*f(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11462579 divided by -2.\nAnswer: 11462579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 62*b**2 - 52*b + 696. Let m be l(-63). Suppose 56 = -5*c + 5*t + 16, t = -3*c - 4. Sort -4, 6, c, m.\nAnswer: -4, c, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/3 + 8*o**4\/3 - 50*o**3\/3 - 176*o**2\/3 - 40*o = 0. What is o?\nAnswer: -6, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2896\/120589 - -6\/1127. Let f = -4 + 5. Is f != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/32 - (-1674)\/8. Let z = g - 35. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/132564 and -23\/84.\nAnswer: 927948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/92885 and 79\/47157.\nAnswer: 3065205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aggraaoarihaaaag. What is prob of picking 4 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3632 + 1796. Let f = a + 35297\/26. What is the common denominator of 43\/20 and f?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - i - 4. Calculate k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3039*c**3*g**3*l**2 - c**3*g**3 - 3*c**2*g**3*l - 3*g**3*l**2 - 23*g**3*l wrt c.\nAnswer: -18234*g**3*l**2 - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*52\/(-39)*(-1)\/22. Put p, 0, 5 in increasing order.\nAnswer: 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -15*b + 39 - 52 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*j + 846426 = -24263617 - 45718757. Round j to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 150.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjj. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f - 42. Let h(i) = 3*i - 14. Let c(w) = -17*h(w) + 6*y(w). What is the units digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*o**3 + 731*o**3 + 724*o**3 - 2195*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 0 - 12\/(-10). Suppose -y - 3*h = 2*y + 15, -5*y + h + 5 = 0. Factor -b*z**2 + y + 1\/5*z.\nAnswer: -z*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473461498?\nAnswer: 2, 236730749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:36 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-14))\/(3\/(-138)). Let p = j + -16. Let k = p - -70. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-36)\/16)*3. Suppose -5*u = -4*z + 1100, -6*u + q*z = -2*u + 880. List the prime factors of (u\/(-6))\/((-20)\/(-30)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {u: 1, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39850 and -25.8.\nAnswer: 1028130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -10) + 14 + (22 - (-13 - -5)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8)*20\/12. Let r = 43\/28 + s. What is the closest to 2\/5 in 3, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11 - (-552)\/36)*(-6)\/12520 and 67\/16.\nAnswer: 25040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 16 = 2*o, 14*m - 40*o = 9*m - 130. What is the smallest common multiple of 762 and m?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176121 is divided by 1075.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (-23 - -43) + 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 90*b - 20. Let n(o) = 13*o - 3. Let l(i) = -20*n(i) + 3*v(i). Let m(g) = 2*g. Suppose 12*r - 3*r = 54. Give r*l(t) - 28*m(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 3930750944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2868*t - 8736 = 2556*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 3*i**2 - 2*i - 3. Let h be f(5). Let w = 38 - h. Let o be 2 + -28*(-2)\/(-26). Which is the second biggest value? (a) -1\/3 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2124 (base 7) to base 12\nAnswer: -529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -2724, -6146, -10942, -17112, -24656, -33574?\nAnswer: -43866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5 - 88*g**2 + 18*g**2 - 93*g**2 + 5. Let p(s) = -13*s**2. Determine p(h(m)).\nAnswer: -345397*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1006300 and 3400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -481 and -0.08287.\nAnswer: 39.86047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8 = u. Suppose u + 8 = 2*h. Solve -1 + 6 = h*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q - 26. Let m(j) be the second derivative of j**3 + 13*j**2 + 1139*j - 3. Calculate -6*m(g) - 5*x(g).\nAnswer: -g - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h + 0*h + h)*(5 + 89 + 39).\nAnswer: -1330*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64560 and 258240.\nAnswer: 258240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 1 - (27 + -24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 405546 and 1416?\nAnswer: 95708856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -31, -3, -245?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p. Let b(l) be the second derivative of 3*l + 0*l**2 + 0 + 0*l**3 - 1\/12*l**4. Determine a(b(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -104 and -237 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -2\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1082*k + 137*k + 72*k + 420*k in the form l*k + a and give l.\nAnswer: 1711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + x**2 - 5*x + x - 1. What is b(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + (19 - (-24 - -26))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 - 1160*l**2 - 12701200*l + 10061972000 = 0. What is l?\nAnswer: -1970, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 5) + -5 + 1260\/396. Let u = 0.6 + 1.4. Which is the nearest to u? (a) -1 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-28) + (-150)\/(-175)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*p + 8 = -2, 0 = 4*y + 3*p - 2. Let l = 4 - 4.3. Let q = -4.84 + -0.16. What is the closest to 0 in y, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20319 is divided by 521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79444.\nAnswer: 2, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j - 6. Let x(s) = s + 1. Let t be (36\/(-10))\/((-1)\/(15\/2)). Suppose t*z + 6 = 28*z. Give z*x(a) + w(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19368 - -31841. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23461.96 years in centuries?\nAnswer: 234.6196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*((n\/(n*n**0\/n))\/n)\/n))**(-13)*n*n*n*(n\/n**(-8))\/n*n**0 assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142208 - -306565. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/54 + 25*x**3\/27 - 28*x**2\/3 - 5*x + 2. Let m(j) = 0. What is j?\nAnswer: 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6033759 by -17.\nAnswer: 354927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11) + (sqrt(11) - (sqrt(11) + sqrt(44)\/sqrt(4))**2) + -4 + 3 + (-1*sqrt(275))**2 + 2 + -3 + 2.\nAnswer: 2*sqrt(11) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -32. Let p = w - -24. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 5*n - 8. Let u be d(8). Let y(j) = -u + 5*j + 19 - 2*j. Calculate y(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -16 in descending order.\nAnswer: 6, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from ssgmxsxxsgmsgssummx?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 7*x - 2. Calculate l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1947 - -0.9.\nAnswer: -1946.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.09037976+-0.4772\nAnswer: -0.56757976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3. Let n = -276 - -459. Let a = -188 + n. Let v(l) = 4*l**3 - 2*l**2 - 1. Calculate a*o(f) - v(f).\nAnswer: f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + (-7 - -7) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -g*a = 1 - 7. Let v = 5 - a. Solve -j = 1 + v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from obm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 - x - 1. Let v(d) = 12*d**3 - 8*d**2 + 8*d + 8. Let t = 754 - 759. Calculate t*v(a) - 40*i(a).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9819423, 19638848, 29458273, 39277698?\nAnswer: 49097123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v - 5*v)*(4 - 5 + 2*v + 0*v - 179*v**2).\nAnswer: 179*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l**2 + l - 2. Let y be s(2). Let d be (4 - -2)*2\/y. Factor -4\/7*t - 8\/7*t**d - 10\/7*t**2 - 2\/7*t**4 + 0.\nAnswer: -2*t*(t + 1)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a century in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 816398.4l?\nAnswer: 816398400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6291 or -2082234\/331?\nAnswer: -6291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(15\/5)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (333\/54 + -6)*12\/2. Let y be (l - -80) + 1 - 0. Are y and 80 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w - 89. Let b be h(10). Let g be b*-1124996 + 36\/(-9). What is g rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, 0*h + 30 = 2*c + h. Suppose c*i + 2220000 = 17*i. What is i rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 861 = 3*k, -3*r + 2*r = -5*k + 181. Let t be 2\/10 + r\/(-45). Solve -o - 3*n - 1 = 0, -6*o - 3*n = -t*o - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1022 and 3947398.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nozj when four letters picked without replacement from {z: 1, s: 1, p: 1, o: 1, j: 2, n: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 87043 - 5?\nAnswer: 87038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3053062 (base 7) to base 8\nAnswer: -1312711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*72\/36*2\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 696, 5 in decreasing order.\nAnswer: 696, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*u - 91 = 194. Solve 2*k = 7*k + 5, 5 = 5*g - u*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-12))\/3*3\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*v = -6, 4*b + 2*v + 26 = 20. What is the closest to b in -0.5, 4, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246851?\nAnswer: 11, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.99 + 2. Let u = 0.41 - x. What is the third smallest value in -0.5, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - z**2 + 32 - 2*z - 29 + z**4 to n*z + v + x*z**4 + h*z**2 + l*z**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3 + 3 - k - 2*k + 6*k + (-3*k + 7*k - 3*k)*(4 + 0 - 6))*(-k**3 + 3*k**3 - 5*k**3).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f**2 - f**3 - f**2 - 6 - 3*f**2. Let y(j) = j - 14. Let g be y(9). List the prime factors of n(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -7*l**6\/120 + l**4\/12 + l**3\/2 - 1529*l**2. Let p(d) = -6*d**3 + 2*d + 2. Calculate -4*p(a) + 3*q(a).\nAnswer: 3*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -120*b - 191. Give o(2).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 129. Suppose 2*l - 11 = 5*t, 3*l + t = r + 1. Solve -2*a = 3*x - l*x + 21, -5*x = -15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05+-211\nAnswer: -210.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*b - 264*b = 60 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1423 and -752143750?\nAnswer: 752142327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/7)\/(18\/21 + -7). Let l = u + -227\/86. Let d = 0.28 - -0.02. Is l <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60) - sqrt(60))\/sqrt(12) - (1*sqrt(45))**2.\nAnswer: -45 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 9*l**2 - 10*l + 8. Let g(s) = 3*s**3 + 9*s**2 - 10*s + 9. Let h(r) = -3*g(r) + 4*n(r). Let k be h(7). Suppose -21 = -w + k. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h = 4*l - 36, -5*h + 5*l + 55 = 0. Let w be 268 + -2 + (-12)\/(-3)*1. Suppose 9*a = 18*a - w. Calculate the highest common factor of h and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m - 5*o, -5*m + 12 = -0*o + 4*o. Suppose -4*r = -6*r + m. Let y = -112 - -114. Solve -y*s + r = -6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1, -0.3, 4874, 9?\nAnswer: 4874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -14\/260069 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10179126, 10179125, 10179124?\n\"Answer: -h + 10179127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 27381?\nAnswer: 4\/27381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -43*q**2. Let v(m) = -3*m**2 - 16. Calculate v(s(l)).\nAnswer: -5547*l**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3133 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -423902 + 6?\nAnswer: -423896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/11*49434\/47187.\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 357449, 357459, 357469, 357479, 357489?\n\"Answer: 10*u + 357439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37502 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2928, 4958, 8470, 13470, 19964?\n\"Answer: z**3 + 735*z**2 - 182*z + 2374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294 + (-5 - (-3 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12)*-9)\/(3\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (207 - 64 - 151) + 142.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 6. Suppose g - 8 = 3*m - 7*m, 4*g = 3*m - 25. Let k be u(g). Let i = 23477\/8 - 2935. What is the closest to k in i, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11037, -21643, -31455, -40077, -47113, -52167?\n\"Answer: 66*m**3 + m**2 - 11071*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + n**2 + 2*n - 1. Suppose -7*q + 1 = -27. Suppose -3*x + x + 8 = 4*p, 16 = q*x - 5*p. What is the tens digit of k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1140 and 71\/26590?\nAnswer: 3031260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 101, 151\/64, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 108\/1860*10\/12. Are -1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 + 3*z**2 + 3*z + 3. Let o be c(-2). Let m = -17 - o. Let u = m - 4. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335135383975 minus -2.5?\nAnswer: 335135383977.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:49 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/4)*p**(7\/11)*p*p**(6\/7)*p**34 assuming p is positive.\nAnswer: p**(11471\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, -857 in descending order.\nAnswer: 2, 0.4, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41\/2 - 21. Let a = 0.011 - 0.311. What is the closest to -0.2 in 1\/7, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -512097*w**3*y**2 + 410092856*w**3 - 327*w**2*y**2 wrt y?\nAnswer: -1024194*w**3*y - 654*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 46. Let w be b(14). Let j = -186 + w. Suppose -t + 4*x = 2*t - 50, 4*x + 40 = 2*t. Calculate the greatest common factor of t and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*x + 356 = 0, 7*x = 2*u + 4*x - 357. Let r = -169 + u. What is the highest common factor of 297 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z**3 + 7*z**2 - 6*z - 7. Let k(w) = -6*w**3 - 3*w**2 + 3*w + 3. Let d(u) = -7*k(u) - 3*o(u). Suppose d(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4095745 and 819149.\nAnswer: 4095745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 39*o - 120. Let n(g) = 5*g**2 + 38*g - 113. Let w(q) = -6*f(q) + 7*n(q). What is w(30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4496, 36003, 121528, 288083, 562680, 972331, 1544048, 2304843?\n\"Answer: 4502*j**3 - 3*j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 24 = 4*s - 4, -3*s + 2*m + 21 = 0. What is the greatest common divisor of s and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5*g**2 + 13*g - 37. Let x be p(6). Let b(q) be the second derivative of 0 - 1\/20*q**x + 1\/2*q**2 - 17*q - 1\/2*q**4 + 0*q**3. Calculate b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168495?\nAnswer: 3, 5, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 2, 3198, 1, 1\/6 in descending order.\nAnswer: 3198, 2, 1, 1\/6, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 422188*a\/3 + 28718032\/3.\nAnswer: -2*(a - 68)*(a + 211162)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ac - 4?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -135?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -358?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q - 3. Let l(y) = -y + 1. Determine 6*l(k) + 3*w(k).\nAnswer: 12*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -4 (b) 2\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-11)*t*t**(1\/9) assuming t is positive.\nAnswer: t**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -309, -42, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 7*m + 9. Let w be z(6). Round w to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50230 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00459601 rounded to 5 decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 + 7*m + 3. Suppose 14*c - 17*c = 2*f - 9, -3*c + 2*f + 21 = 0. Let x(y) = 6*y**2 - 8*y - 2. Let i(q) = c*a(q) + 4*x(q). Determine i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10073 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 122902963+-48\nAnswer: 122902915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218 - 224. Let d be (-220)\/(-11) - (-2 - b). Solve 2*g + 5*m + d - 5 = 0, 5*m + 15 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.217? (a) 2 (b) -2\/5 (c) 1 (d) -2\/7 (e) 30406\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -33, -71, -125, -195, -281, -383?\n\"Answer: -8*o**2 + 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754443877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 519776 and 18.\nAnswer: 4677984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 8. Let h(y) = 18 + y**2 + 9*y + y - 6. Calculate the remainder when c is divided by h(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -20 + -88 + 127?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddsddbnssbdd. What is prob of sequence ssnb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*s - 70 - 75 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101902903 rounded to the nearest 1000000?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 - o - 8. Suppose 40 = -6*v + v. Let j be u(v). What is the tens digit of (-28)\/(-2) - (j - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059967347?\nAnswer: 109, 18898783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5760 = -11*p + 3645. Let j = -849 + p. Solve 0 = -8*d + 5*d - j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/3 + 31*y\/3 + 10 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = 0, -4*n - 2*r = n + 26. Suppose 3*s - 1 = 5, 11 = -5*t + 3*s. Let a = t - n. Solve -3*f - 9 = -4*i, f + 0*i + 2*i = -a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 3013840336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/5 - 119\/(-315). Let u be (1 + -1 + 2)\/(-7). Which is the biggest value? (a) -0.1 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -114123.77.\nAnswer: -114123.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 23. List the prime factors of (l\/(-4))\/(2\/(-180)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/150 + r**4\/10 + 3*r**3\/5 - 3*r**2 + 26. Factor p(x).\nAnswer: 2*(x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 3. Let i = -10 + l. Solve -4*h = -5*n - i + 1, -3*n + h - 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10246807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 13 - 11. Which is greater: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlvllv. What is prob of sequence lv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -7*r**4\/3 + 79*r**3\/3 + 100*r**2 - 484*r\/3 + 112\/3 = 0?\nAnswer: -4, 2\/7, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 62493, -8, 91 in ascending order.\nAnswer: -8, 91, 62493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v, 5*v - 100 = 2*z + 3*z. Let j = 9 + z. Let p = 50 + j. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -0.02 (b) -115.9 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = 0, 2*v + 4*d + 37 = 11. Let f(b) = 226*b - 3 + 226*b - 454*b. Calculate the remainder when 41 is divided by f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 187\/4. Let k be (-1)\/2 - (-6)\/(-20). Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -40.4. What is the second biggest value in -0.5, -1, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 39, -155, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 4 (b) 1\/4 (c) -19 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuuffuuuuuu. What is prob of sequence fu?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20627, 20624, 20619, 20612?\n\"Answer: -u**2 + 20628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - c**4 + 0*c**4)*(-c + 17 - 17)*(304 - 569 - 796 - 183).\nAnswer: -1244*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/9 - 0) + (-1421672)\/(-630). Let d = -2248 + c. What is the common denominator of -49\/4 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 9*c + 9. Let r(w) be the first derivative of w**3\/3 - 2*w**2 - 4*w + 8. What is 9*r(a) + 4*y(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, 1291 in decreasing order.\nAnswer: 1291, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -59830551.\nAnswer: -4\/59830551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 7*q + 6*q. Let o = 22 + -31. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4 + p - 1 + 2. Let s(w) be the third derivative of w**4\/8 - 4*w**3\/3 - 76*w**2. What is -4*s(z) + 11*t(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -4. Solve -t - m = -0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 236\/6 + (-2)\/(-3). Let v be 3\/(2 + (-18)\/10). Let z = r - v. Solve -g - z = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 61*s + 2. Let d(w) = -w**2 - 37. Give d(a(i)).\nAnswer: -3721*i**2 - 244*i - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/8 + (-10)\/25*-5. Let t = -1.165 - -1.2. Let j = 0.535 - t. Which is the third biggest value? (a) v (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 u when four letters picked without replacement from {k: 3, u: 2, g: 3, y: 6, c: 1, p: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.111 - 20.111. What is the biggest value in h, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 - 7660*b\/3 - 38200\/3.\nAnswer: -4*(b + 5)*(b + 1910)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 6*y**2 - 5*y - 3. Calculate x(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14970, -14788, -14480, -14040, -13462?\n\"Answer: w**3 + 57*w**2 + 4*w - 15032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2510744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.6 - -0.6. Let h = s - -8.74. Round h to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 6*b**2 + b - 32. Let t be p(5). What is the smallest common multiple of ((-16)\/(-6))\/t*-12 and 104?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21452 or -21469?\nAnswer: -21469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u + 8*u. Sort u, 2, 10, 4 in descending order.\nAnswer: 10, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -1\/5607?\nAnswer: -1\/5607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(477\/(-1590)*10\/(-3))*10\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 27. Let r be y(17). Let s be (-14)\/(-3) - (-1)\/3. Solve s*w + r = -1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -112, -95, -80?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let a(o) = 2 + 2*o**2 + 4 - 6 + 7*o. Calculate z(a(n)).\nAnswer: -4*n**4 - 28*n**3 - 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7250082097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -392*h**2 - 6 + 783*h**2 - 392*h**2 + 7*h. What is d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*g - x, 4*g - 208 + 180 = 4*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2788538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -29539651?\nAnswer: 29539647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 19791010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -3 - (-15 + -5 + 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -313817, -313757, -313697, -313637, -313577, -313517?\n\"Answer: 60*a - 313877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35335, -35341, -35359, -35395, -35455?\n\"Answer: -u**3 + u - 35335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - (-6 + -2 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5978298.372 to the nearest 10000.\nAnswer: -5980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3)\/h*h))**(-23\/3)*(((h**(-1\/2)\/h*h)\/h)\/h)**(2\/85))**(-1\/16) assuming h is positive.\nAnswer: h**(1567\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 3*k - 8 + 0*k + 3 - 2*k**2. Let z(u) = 4*u**2 - 2*u + 9. Determine -5*w(d) - 3*z(d).\nAnswer: -2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112534389 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12615972769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - (-13)\/4. Let h(c) = 5*c + 0 + 0 + 6*c. Let v(o) be the third derivative of o**4\/6 - o**2. Give t*h(z) - 8*v(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1627191, -25 in decreasing order.\nAnswer: 1627191, 5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 70. Let r(u) = -21*u**2 + 15*u - 15. Suppose 0 = -4*p - 0*p. Let n be -14 + (-4 + p - -3). Let o(c) = 3*c**2 - 2*c + 2. Give m*r(g) + n*o(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r**2 - 59*r**2 - 47 + 17*r**2 + 18*r + 24*r**2. Give m(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49770?\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.7294067 times 0.3?\nAnswer: -27.81882201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*m + 11 = 0, -11 = 3*f - 5015*m + 5014*m + 9 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -153. What are the prime factors of ((-3)\/4)\/3 - 7245\/b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5769614 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -888, 6, 4\/5, -0.4, 0.5, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14736 divided by 4912.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -369*d - 2366. Determine t(-7).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 35. Suppose 0 = -a*b - 2*m + 756 + 911, -2*b + 1124 = -5*m. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + a + 1. Let x(m) = 57*m**2 + 6*m - 8. Let b(n) = -p(n) + x(n). Is b(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10304)\/(-145728) + (-1)\/(-9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 - 5*m**2 + 75*m - 126838 wrt m.\nAnswer: -8*m**3 - 10*m + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.911448 to 1 dp.\nAnswer: -59.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/20 - u**4\/4 - 6*u**2. Factor z(p).\nAnswer: -3*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 141*t**2 - 31*t - 6. Give b(3).\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024570995 rounded to 7 dps?\nAnswer: -0.0000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42383\/9 - 4703. Suppose -5*k = -s - 10, 0*k = -s + 3*k - 4. Find the common denominator of m and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 25 = -l. Suppose 2*a - a - 3*t = 4, 2*a - t - 13 = 0. What is the remainder when l is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 16 = -20*j. Let r be (8\/2)\/j - (0 + 0). Which is smaller: -1\/36 or r?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 22*a**2 + 78*a + 90.\nAnswer: 2*(a + 3)**2*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12344993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + a09272a?\nAnswer: a092726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - 5 + 5 + (-o**5 - 2*o**5 + 2*o**5)*(-1 + 1 + 2) + o**5 + 8*o**5 - 4*o**5 - o**3 + 0*o**5 + 2*o**3 - 2*o**5.\nAnswer: -o**5 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17180 or -171807\/10?\nAnswer: -171807\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*t + 1, 2639358*c - 2639359*c - 13 = 3*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 34 = 5*f - 4*y, 3*f - 42 = -y. Calculate the remainder when f is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 993 by 802.\nAnswer: 993\/802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326.2 - 243. What is a rounded to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 504126604?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 + 4*g**2 - 3*g**2)*(26827 - 13296 - 11850) + 5*g - 5*g + g**2 + 1 as o + w*g + f*g**2 and give f.\nAnswer: -3361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-172)\/34 - (21 + -26))*2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2179.29596 rounded to 0 decimal places?\nAnswer: -2179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/12 - (-10)\/(-4). Let l be -2*((-21)\/y + 2). Let c = l - -46. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 1, a: 2, g: 2, z: 1, n: 2}. Give prob of picking 1 z and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 21864*o**2 - 39836208*o - 24193856992.\nAnswer: -4*(o + 1822)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -186*m**3 + 31*m**2 + 4*m + 1. Let g(w) = 372*w**3 - 62*w**2 - 10*w - 2. Let d(q) = 2*g(q) + 5*h(q). Find the third derivative of d(l) wrt l.\nAnswer: -1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13678431 is divided by 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 104\/(-28) + (3 - -1). Let u be 9\/(5 - 2) - (6 + -1). What is the fourth smallest value in s, 0, 3\/2, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(44\/(-3)) - (1073\/(-29))\/74?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 462340?\nAnswer: 462312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 d, and 1 v when three letters picked without replacement from vwwwwdsmmw?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, q: 2, s: 1}. What is prob of picking 1 q, 1 s, and 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**3*v**4 + 2*b**3*v**2 + 4*b**3 - 13867632*b*v**5 + 270*b*v - 957*v**2 - 5*v wrt v.\nAnswer: -264*b**3*v - 832057920*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.00104?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 13089, -375 in descending order.\nAnswer: 13089, 8, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20212 (base 3) in base 11?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -160 + 157. Let z(c) = c**3 + 3. What is z(v)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/3, -2, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b - 1. Let u(m) = -11*m + 2. Let d(g) = -9*n(g) - 4*u(g). Let s(x) = 4*x - 3. Determine 12*d(v) + 4*s(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from qklra.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 476248*g**2 + 6667325*g + 23335466.\nAnswer: (g + 7)**2*(g + 476234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n - n + n)*(0 - 1 + 0)*(2 - 7 - 7) to the form i + u*n and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*c + 896383 = 100*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29368, 29374, 29380, 29386, 29392?\n\"Answer: 6*l + 29362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1214\/3 + 19352\/(-2419). Determine x, given that -25\/3*x**2 + 160 - h*x = 0.\nAnswer: -48, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 43392914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*14\/14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -3, -774, 0, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -325*r - 8. Let q(j) = 245*j + 6. Determine 8*k(w) + 11*q(w).\nAnswer: 95*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80088\/(-2350) + ((-596)\/50 - -12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 132*g - 2478. Calculate a(-19).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 - 1.3. Let v = 4.6 + x. Let q be ((2\/33)\/((-20)\/60))\/((-9)\/33). Which is the closest to q? (a) -0.3 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 5*v + 15. Let d(k) = -2*k + 8. Let r(z) = 5*d(z) - 2*j(z). Let i(f) be the first derivative of r(f). Let h(t) = -5*t. Give i(h(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) 4 (c) 3 (d) -626\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(190))\/(-1*sqrt(640)) - (sqrt(190)\/(sqrt(10)*-2) - sqrt(19))**2*5*-5.\nAnswer: -3*sqrt(19)\/4 + 4275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 2635520*p + 2635525.\nAnswer: -5*(p - 1)*(p + 527105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2685)\/2)\/(132\/(-88))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -1. Suppose 0 = 15*t - w + 19. Let g be ((-2)\/5)\/(3\/(-5)). Is t at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = z + 81, 0*z = -5*k + 3*z - 219. Let b = 77 + k. Is 89\/(-1 + 40\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 80 = 65 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*s - 2*s - 75 = 0, 5*s - 87 = -3*h. Differentiate 6 + h + 30 - 13 + 32*c**3 with respect to c.\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 13. Suppose 0 = 7*m - 129 - 109. Suppose q*g - 1 = m. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((3\/(-6))\/((-1)\/52)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1308535, -10468305, -35330533, -83746447, -163567275, -282644245, -448828585?\n\"Answer: -1308538*f**3 - f**2 - f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*s = -139*s + 3135. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 552*f**2 + 9 - 12 to y + k*f + p*f**2 and give p.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/5*(1 + 4). Let o be 76\/16 - x\/(-8). What is the third smallest value in o, -0.6, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1\/2)*p**(-1\/3))\/(p\/(p*p\/p**(-1\/4)))**3*(p**(1\/4)*p**(9\/4))**(-18\/5) assuming p is positive.\nAnswer: p**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*p**3 - 8\/5*p**4 + 3\/5*p**5 - 7\/5*p + 2\/5 + 6\/5*p**2.\nAnswer: (p - 1)**3*(p + 1)*(3*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*w**3 - 55*w**4 - 484*w**2 + 109*w**4 - 58*w**4.\nAnswer: -4*w**2*(w + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2329219\/63 - -36973. Let l = -62714917087\/1260 + 49773739. Let t = l + h. Find the common denominator of 43\/14 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/4 (b) 0.02 (c) -7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1762 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5079 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - 10.91. Let z = -10.91 - h. Is -1\/4 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/3, 1.589, 2, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 3*u - 17. Let a be 2\/(-12) - 268\/(-24). Is r(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -498373?\nAnswer: -29902.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 19*d + 4. Let x be g(-12). Let p = x + -60. Let i = 105 - p. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/561 and -9\/5848.\nAnswer: 192984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-58))\/(1500\/(-21750))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ainn when four letters picked without replacement from nannnnnniainnannii?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b + 68. Determine w(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29.8? (a) 4 (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, l: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7\/342016141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m + 28*m + 77*m.\nAnswer: 85*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -87620 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 315490666 to the power of 1\/2, to the nearest integer?\nAnswer: 17762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 163*m - 6*m**2 + 161*m - m**2 + 16*m**2 + 111*m**3.\nAnswer: 111*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418106 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.99 + 23.9. Put 3, v, 2\/5 in decreasing order.\nAnswer: 3, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4286 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3698 is divided by 137.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 818\/15*l + 2\/15*l**2 + 0 = 0.\nAnswer: -409, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:40 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/6 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100110?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37, 66, 97, 136, 189, 262, 361?\n\"Answer: h**3 - 5*h**2 + 37*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 5\/(-2)*(-136)\/(-340). Put -1, 3, d, -34 in decreasing order.\nAnswer: 3, -1, d, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/52*-4*(-5)\/(-6). Let c(s) = 9*s**2 + 5*s - 5. Let x(a) = -4*a**2 - 3*a + 3. Determine f*x(h) + 3*c(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2879\/9168 + -56\/191. Let m(l) be the second derivative of y*l**4 + 0*l**2 + 1\/80*l**5 - 1\/120*l**6 - 1\/168*l**7 + 0*l**3 + 0 - 21*l. Factor m(t).\nAnswer: -t**2*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15 - 15 + 1786*g - 1787*g. Let r(t) = -2*t**2 - 2 + 2. Determine r(h(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001830022 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5860, 6917, 7956, 8983, 10004?\n\"Answer: m**3 - 15*m**2 + 1095*m + 4779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -g - 8, -4*g + 3 + 1 = 4*b. Let p be 14\/4 + (-2)\/g. Find the first derivative of -p + 4 + 7 - 9*j wrt j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -67, -129, -189, -247, -303, -357?\n\"Answer: h**2 - 65*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -24101*f**2 - 6309. Let u(w) = -w**2. Calculate z(u(s)).\nAnswer: -24101*s**4 - 6309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 (base 14) in base 15?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -3480, 0.4, -6.3 in increasing order.\nAnswer: -3480, -6.3, -0.2, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x**3 + 88*x**3 - 186*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23472110.\nAnswer: 2, 5, 53, 67, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*k + 36*k + 107 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8749*t + 306129. Calculate h(35).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*h + 3*h. Suppose 7*w = h*w - 5*p + 40, 2*w + 5*p = 16. Calculate the highest common divisor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Let p be (-24)\/108 + 56247\/270 + -3. Let y = 205 - p. What is the closest to 0 in 0.5, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11997 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -1 - (0 + 1). Let x(m) = m**3 - 6*m**2 + 8. Let r be x(p). Solve 3*s = r + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 517.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 6 - 4*m - 5*m + 3*m + m. What is g(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 2)*((-106)\/(-2) - -2). Let f = -107 - s. Suppose f*t - 12 = h, 3*t + 16 = 5*t + 2*h. Solve 2*x + x + 23 = -t*m, 0 = -m - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 7. Let d be o(0). Let g = -509273\/79356 + 6\/6613. What is the common denominator of g and (-2)\/d - 191\/(-42)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 times 0.05?\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239616 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -562 + 567. Solve 3*o - 2*m - 4 = b*o, -m = 2*o + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -19*m. Let a(n) = -33334*n**2 - 2*n + 16667*n**2 + 16666*n**2. Give r(a(x)).\nAnswer: 19*x**2 + 38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011010 - 101?\nAnswer: -11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 808 + -804. List the prime factors of (3 - (-9 + -325))*v.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240008 and 28853?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861.147m in micrometers?\nAnswer: 1861147000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 312\/(-207) + 6 + -5 and -32\/7.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7172618 to 4 dps.\nAnswer: -0.7173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574818146?\nAnswer: 2, 7, 41058439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:17 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d**3 - 5*d**2 - 3*d - 2. Is 18 a factor of u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/5 + 6*b**4\/5 + 44*b**3\/5 - 24*b**2\/5 - 144*b\/5 = 0. Calculate b.\nAnswer: -3, -2, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8.5*-2044\nAnswer: -17374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 5:29 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 306*d**7\/7 - 17*d**3\/3 + 18*d - 266. What is the third derivative of k(q) wrt q?\nAnswer: 36720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -895c311?\nAnswer: 895c310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(sqrt(704) + -1 + sqrt(704)*-3) - (2 + sqrt(704))*-2*-6)*-3)**2.\nAnswer: 279936*sqrt(11) + 8237700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 - 1. Let s(v) = -20*v**3 + 15*v**2 + 5*v + 20. Let w(m) = -15*f(m) - s(m). Let l(g) = -3*g**3 + 2*g + 2. Determine 5*l(r) + 2*w(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 25 = -c, 0 = 3*h - c + 13 + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/((-3)\/(-4)). Let j(o) = -3*o - 3. Let n(h) = h + 2. Let m(z) = i*j(z) + 5*n(z). What is the units digit of m(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 74, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 6132?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 13. Let r(a) = 16*a**2 - a**3 - s*a**2 + 8 - 4. What is the units digit of r(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -258*q**2. Let x(a) = 3*a**2. Calculate p(x(k)).\nAnswer: -2322*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2786 + 2786.06834. Which is greater: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 3. Let w(n) = n**2 - 8*n + 4. Let m be w(x). Suppose r - m*j = 107 - 6, 12 = -4*j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 1\/3*o**3 + 1\/3*o + 0 + 2\/3*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/540362 and 127\/3910.\nAnswer: 2701810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnh when three letters picked without replacement from hhhhhnhh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4*q)\/q**(-15))**6 assuming q is positive.\nAnswer: q**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, -2\/19, -10, 23, -644?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207*4.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1b0 (base 14) in base 10?\nAnswer: -33278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -2*n - n**2 + 1\/6*n**3 + 0. Let q(k) = 2*k - 3. Let d(h) = 3*l(h) - 2*q(h). Let j(b) = -b**2. Calculate j(d(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11796098135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378075529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 95*n**2 - 6*n + 3. Suppose 2*c + 3*m = -2*m + 11, 2*c - 2 = -2*m. What is the tens digit of w(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -32080023*13.\nAnswer: -417040299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 411*w**3 + 56307*w**2 + 2571353*w.\nAnswer: w*(w + 137)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 4\/5, -24, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 2191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {q: 1, i: 1, p: 1, h: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 192800.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9)**(1\/10)\/(((l\/(l*((l\/l**29)\/l)\/l*l))\/l)\/(((l*l**(1\/5))\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22630*j**6 - j**4 - j**2 - 186857*j - 1.\nAnswer: 2715600*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-10 - -11) + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in 3, -143, 2, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -107, -5, 5, -229 in decreasing order.\nAnswer: 5, 1, -5, -107, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 99*h**3 - 3*h**2 - 484*h - 2574. Differentiate g(i) wrt i.\nAnswer: 594*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 847*p*t**4 + 82*p*t + 4*p - t**5 + 413*t**2 - t - 92 wrt t.\nAnswer: 10164*p*t**2 - 20*t**3 + 826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-734)\/1254 - 4\/24*-4 and (-7)\/((-441)\/7)*-1*219.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 84. Let k be m(0). Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7787 - 555. Let a = g - -38342. What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/3 + 8306*d**3\/3 - 24944*d**2\/3 - 33248*d\/3 = 0?\nAnswer: -4156, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*w = -1069, 3*o + w = 2*w + 803. What are the prime factors of o - (4 - -1)\/1?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 2. Let n(w) = 2. Let a be (-13)\/5 + 6\/(-15). Let f(p) = a*r(p) - 4*n(p). Determine f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -69 (b) 0.06 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j + 182*j = 88*j + 40. What is the second smallest value in j, 2\/3, -2\/13, -7\/32?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2342.5411 - -2343. Round o to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(720) - sqrt(500)*-2).\nAnswer: -192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14361 * -3\nAnswer: -43083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**3\/27 - 5*r**2\/9 + 4*r\/3 + 74. Factor n(d).\nAnswer: 2*(d - 3)*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**2 - 43*n - 15. Let o(u) = -2*u**2 - 2. Determine -f(m) + 6*o(m).\nAnswer: -m**2 + 43*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 3*b + 44, 4*c - 14839*b = -14840*b - 98 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) 790 (c) 2\/7 (d) -2\/171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3138 = -2*q, -5*q = -q + 3*y - 6256. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*f - 355*f = 146. Do f and -66 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 4*l + 6. Let u(d) = d**2 - 4*d + 6. Let b(h) = h**2 + 6*h + 2. Let m be b(-5). Let i(f) = m*u(f) + 4*x(f). Is 8 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) -1 (d) -579 (e) 184\/5 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1241 + 3294. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 50. Suppose y - k*y + 340 = 4*i, 0 = -5*y - 4*i + 874. Solve -4*p**5 + y*p - 178*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19ab (base 14) to base 5\nAnswer: 122114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/38672 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/127, -0.2, 2\/2281, 2\/7 in decreasing order.\nAnswer: 0.4, 2\/7, 2\/2281, -2\/127, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tftt when four letters picked without replacement from tbtbbttfbtt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 0.77936.\nAnswer: -0.0467616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16069 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03976983 rounded to four decimal places?\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 370, 4, -4.\nAnswer: -11, -4, 4, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = q - 24 + 6, -3*w - 9 = 0. Suppose -d - 4 = -q. Suppose -2*n - 3*o + 37 = 0, -136*n - o = -138*n + 1. Sort n, d, 0 in descending order.\nAnswer: n, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 47.1504594293291.\nAnswer: 46.1504594293291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:03 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - (sqrt(2160) + sqrt(2160) + sqrt(2160)*2 + sqrt(2160)) - (sqrt(240) - (sqrt(240) + 2*sqrt(240))))\/(sqrt(15)\/(sqrt(9)\/sqrt(3)*6)).\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.41 * 808.\nAnswer: -4371.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - -2 - 19 - (0 + 1 + -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - w = -3 + 4, 5*t + w = 15. Suppose -4*m + 4*z + 17 = 5*z, -4*m + 32 = -t*z. Solve 9 = -q - m*s, 3*s + 3 = q + 2*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 6:10 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 2172451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 12*r + 16*r - 24*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-28) - -3 - (-97)\/(-388).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}