diff --git "a/data/dm_maths/full_data/1920_11255.jsonl" "b/data/dm_maths/full_data/1920_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1920_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the highest common divisor of 32 and 252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1469 (b) 3 (c) -0.864\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 171, 305, 493, 735?\n\"Answer: 27*p**2 - p + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 380\/8 + 1\/2. Suppose -4*j + g = 2*s, j + j + 3*s = 24. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*h = 495*h + 1478*h + 55019 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97759.98 grams in kilograms?\nAnswer: 97.75998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-11))\/((-3447)\/606672).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1352 + -11550?\nAnswer: -10154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 3. Let c(f) be the first derivative of -2 + f**2 - 1 + 5. Let m be c(-1). What is d(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, b: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 92984.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y**3 + 23*y**2 - 12*y + 10. Let n(f) = -20*f**3 + 35*f**2 - 18*f + 15. Let v(a) = 5*n(a) - 8*x(a). List the prime factors of v(4).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111022210 + -221211211?\nAnswer: -1110011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (2 - -4)) + 187 + -153.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 450\/66 + 2\/11. Let i(m) = -21*m + 2. Let j be i(-1). Let t = j - a. Solve 2*h - 6*h = -t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3332 (base 4) to base 7\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) - (sqrt(2112)*1 - sqrt(2112))) + sqrt(2112))\/(sqrt(12)\/(sqrt(24)\/sqrt(6))).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*m - 66. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + (1 + sqrt(363) - sqrt(363)) + 5 + -2)**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 726848357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/11*p**4 - 100\/11*p**2 + 0 + 20\/11*p**3 + 0*p = 0. What is p?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 2584398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (73070\/30)\/((-1)\/6). Let q = 292207\/20 + u. Find the common denominator of (-109)\/(-12) + (0 - 0) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (90 + -78)*2*(-1)\/3. Let y(l) = -253120*l**2 + 39*l - 8. Let j be y(w). Round j to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415 - -411. Let z = 1 + -1. Put m, 5, z in ascending order.\nAnswer: m, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 2*r**3 - 10 + 14 to the form t*r**2 + a*r**3 + w*r + b and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.473036 - 1.472. What is v rounded to five decimal places?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55476 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 537*s**4 + s**3 - s**2 + 49*s - 328583 wrt s.\nAnswer: 2148*s**3 + 3*s**2 - 2*s + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 452870 to the nearest one thousand.\nAnswer: 453000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 30*k**2 - 9*k - 23. Let t be m(-7). Suppose -4*d + t = 398. Let b = d + -95. List the prime factors of b.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.7. Is k equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + 13 + -17 - (0 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 8 = 3*f, 2*f - 4*j = j - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154045\/24 - 6421. What is the common denominator of d and (38\/5)\/(1980\/150)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 11*j - 13. Let u(h) = -3*h**2 + 11*h + 14. Let g(a) = 4*r(a) + 3*u(a). What is g(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 25*i**2 + 83*i + 28. Let p be s(28). Solve 0 = 3*m + 5*b - 34, p = -5*m - b - 2*b + 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y = 4485. Let f = 2722\/3 - y. Let q = -6337 - -50775\/8. Calculate the common denominator of q and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/20 - 5*f**4\/4 + 4*f**3 - 21*f**2\/2 + 37*f. Is u(14) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4189 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 77277540 divided by -1287959\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o**3 - o**2 - o + 1. Suppose 4 = 4*s - 0. Let q be w(s). Suppose 19 + q = 5*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*3\/24*(-576)\/(-180)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/23, -1, -0.4, -0.1, 10.4, 8\/9?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 57. Let y(d) = d**3 - 12*d**2 + 13*d + 15. Let p be y(10). Let h = j + p. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 11 - 11 + (4*s + 0*s - 2*s)*(1 + 0 + 1) in the form q + t*s and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -12*b - 230. Let o = 51 + b. Let d be (-1 - -1)*2\/4. Solve 2*z - o*c = 0, d*z + 2*c = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 + 229816*v\/7 + 3300962116\/7.\nAnswer: 4*(v + 28727)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-21))\/k)\/k**(-1\/8))**(-48) assuming k is positive.\nAnswer: k**1002","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 48*m**2 - 71*m + 59. Is i(-56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(2\/23))\/c*c)\/c**(-1\/18))\/(c**(3\/11)\/c**(-3\/4))*c**9*(c\/(c*c**(3\/7)\/c))\/c*(c**(-1\/7)*c)\/c**(3\/5) assuming c is positive.\nAnswer: c**(3115897\/318780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**45*(g**(-1\/3))**(4\/9)*((g**(-2\/3)\/g)**(1\/22))**(-5\/2) assuming g is positive.\nAnswer: g**(-17771\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-1 - (-2 + 0)). Let k = 10 - f. Suppose -28 = m - k*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 192*p**3 - 9*p**2 + 13*p - 115. Is c(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -0.3 (b) 12\/13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 90. Let d = 3 + -6. What is the biggest value in c, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 3*y**2 + 5 - 3*y + 2*y. Let l(j) = -3*j + 18. Let x be l(6). What is the units digit of c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(405))*-4 - (sqrt(405) - (sqrt(405) + (0 + sqrt(405) + -1)**2)))*4.\nAnswer: -216*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 2973*v**2 + 746856*v - 5083344.\nAnswer: 3*(v - 492)**2*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 1124*y + 12993. Calculate m(-12).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(6\/11)*q**(-5\/4) assuming q is positive.\nAnswer: q**(-31\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c - 140 = -16*c. Is -8*c\/(-10) + 4551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -32. Solve 5*j = 4*a - 36, -12 = 4*a - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -2947a?\nAnswer: -29482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.91 + -22. Let s = 835.61009 - 835.7. Let y = s - q. Round y to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395250065 to the power of 1\/3, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43.1 and 0.13.\nAnswer: -5.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*p + 155. Suppose -d + 9 = 4*w, 4*w = -4*d + d + p. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5864*x - 1129. What is the thousands digit of n(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -12, 4*j + 5 - 26 = 3*x. Solve 4 = l, -j*l = 2*n - 2*l + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4953328.85 + 4987080.02469. Let l = -33751 + p. Let i = 0.176 - l. What is i rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*l = -2*l, 4*z = 2*l. Which is the closest to 1? (a) 1 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 136*d**2 + 154*d + 24. Is c(67) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 11120?\nAnswer: -7784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 8. What is the remainder when 64 is divided by y(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 0.4, -1, -3, -29, 0.2 in descending order.\nAnswer: 0.4, 0.2, -0.23, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-17 + -94 + 235).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/299?\nAnswer: 12\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/1 + (-532680)\/(-41400)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548133.\nAnswer: 3, 182711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136 + 51*l - 38*l + 27 - 86 + 13 to k*l + r and give r.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4805329 is divided by 4302.\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 3*l + 0*l + 2 + 11*l - 5*l + 5*l + (0 + 1 + 2)*(6*l - 53 + 53).\nAnswer: 31*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460915233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -28. Suppose 5 = -f*i + d, i + 0*d - 5 = -d. Solve -4*c = 3*s - 6, i*s = 3*c - 2*s - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7065*f*w + 16*f - 6*w - 741 wrt f?\nAnswer: -7065*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*x + 109, 5*o - 180 = x + 4*x. Suppose 4*i + i = 10. What is the tens digit of i - 16\/4 - x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763460507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4144*d + 4174 + 24834 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 - 23 = 13*x. Solve -11*k = -x*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*x - 378 = 0. Let g be (-3*(-28)\/(-6))\/(-2). Suppose 0 = -2*i + 3*i - g. What is the highest common factor of x and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -44*w**3 - 2*w**2 + 2*w. Let f = 0 + 1. Let q be g(f). Let o = -29 - q. Solve o = -5*u, -u + 9 = 2*y - 2*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 5*x - 2*x + 13*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 - -1101101?\nAnswer: 1110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1566693315 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -3\/10 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 19*j**2 + 18*j + 56. Let i be z(-12). Calculate the greatest common divisor of i and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178865545 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - -46. Let i = 181 + v. Is 278 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:11 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. What is the units digit of (0 + (-2)\/g)*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6378 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 17 + (0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/125)\/(1\/(-41)) - (-46)\/322*-84.\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/990 and (-244)\/1464*127\/6.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 - -0.15.\nAnswer: 39.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 62*b + 40. Let h(g) = -54*g - 33. Let i(j) = 6*h(j) + 5*r(j). Let n(d) = 9*d. Give i(n(v)).\nAnswer: -126*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59154895 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 728?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/4 + 1\/4. Suppose -5*f - 97 = -92. Put 4, 9, w, f in descending order.\nAnswer: 9, 4, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**5\/20 - k**4\/6 - k**3\/2 + 3*k**2\/2 - k. Let c be f(3). Let j = c + -1. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8678393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))\/(u*((u**(-7)*u*u)\/u)\/u))\/(u**2*u\/(u\/(u*u*u**(-7)\/u))) assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-12) - 33*1 - 0. List the prime factors of u\/(-28)*2247\/6.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 7 + -4 - 1 - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2\/15 + 106346*a + 797596\/15 = 0. Calculate a.\nAnswer: -1\/2, 398798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/2 of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-2)*2*-1. Suppose -v + 6 = -30. Calculate the remainder when v is divided by (0 - j)\/(5 - 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 58.361.\nAnswer: 62.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 7}. Give prob of sequence wiiw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6634, 13037, 19440?\nAnswer: 25843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -12, -2, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2097940 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2641, -10417, -23383, -41539, -64885, -93421?\nAnswer: -127147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 - 237. Let k be (4\/16)\/(l + (-244)\/(-48)). Let y = 6 - 2. Solve -4*m - 3*a + 8 = a, y*m - 3 = -k*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:35 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 2 + 85*t**3 + 59*t**3 - 48*t**3 as m*t**3 + r*t**2 + q*t + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6) - 2*(-15)\/(-12). List the prime factors of (-3)\/(6\/(-122)) + w + 1.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 189. Let p = o - -89. Solve 0 = -3*f + 1 + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -20, -24?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23012424 and 1377?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1 = 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41272867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - 3*o + 5*o + 5*o**2 - 3*o**2 as w*o**4 + k*o + u + g*o**2 + p*o**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345931*s**3 + 693343*s**2 wrt s?\nAnswer: 2075586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - w. Let z(p) = -p. Let b be z(3). Let u be 161\/21 + 0 + (-4)\/b. What is the units digit of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -1068\/757 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 4678*s + 108728. What is q(-23)?\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547 + -15.00471?\nAnswer: -1562.00471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbhgbhbghbbqhvh. What is prob of picking 2 b and 1 q?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*j - j + 5*j in the form m*j + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:30 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 147256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 k, and 1 l when three letters picked without replacement from {q: 1, w: 2, k: 3, l: 1, t: 3, f: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160493302.695 minus -0.729?\nAnswer: 160493303.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r)**35 assuming r is positive.\nAnswer: r**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/9 + 70*g**4\/9 + 805778*g**3\/9 - 208742638*g**2\/9 + 274024712*g\/3 = 0.\nAnswer: -723, 0, 4, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 1507624*n - 3015232.\nAnswer: -4*(n - 376904)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1)\/(-5) - (-2)\/3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 7*x.\nAnswer: x*(x + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (28 - (12 + 35)) - (1 - 41).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012211 + 21?\nAnswer: 10020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 106743*g.\nAnswer: -g*(g + 106743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2526 - 5676 = 23*c - 440*c + 555 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 32*r + 31. Let i be b(27). What is the derivative of -52 + 2*s**3 - i*s + 177*s - 12 wrt s?\nAnswer: 6*s**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333448 is divided by 166635?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/10)\/((-2)\/(-10)). Let w = 42 - q. Let d(l) = -l**3 - 4*l**2 - 6*l. Let a be d(-4). What is the highest common divisor of w and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5278, -10623, -15968, -21313, -26658?\n\"Answer: -5345*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -131.7.\nAnswer: 65.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24073006*l**3 - l + 9742351 wrt l?\nAnswer: 144438036*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56025 and 3569?\nAnswer: 2409075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 1. Suppose 10 = 2*r - 4*q - 68, -5*r + 210 = g*q. Let b = 16 + r. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (6 - 1) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311662 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-130)*55\/(-3))\/(2\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*-3*1*-6*(1 + sqrt(112)))**2.\nAnswer: 93312*sqrt(7) + 1318033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*v - v - 5*q, -4*q = v - 12. Let l = v - 1. Let z be -2 - (-1 - (2 + l)). Let t(a) = a**3 + 3*a**2 - 3*a + 5. Calculate t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.3436823.\nAnswer: 0.6873646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/36*-8*1\/(-12)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (5 - -2) + (-3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 5*m + 5. Let n be y(-6). Let i = 79 - n. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4101 + 39 = 0. Suppose -v = -3*g - 6*g. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1 - (-59 - (14 + -37 - -33)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 10:12 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 15. Suppose -3*v + g*d - 42 = -v, -5*v - 2*d - 76 = 0. Let x be 1\/((-68)\/v + -4). Put -3, -1, x in increasing order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y - 73*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005355711 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1))\/(-5)*(-2)\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*sqrt(147)*2 + 3 + -1)**2.\nAnswer: 504*sqrt(3) + 21177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -548 + 547.897. Let b = o - -0.103405. Round b to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*d + 14 - 14)*(-14*d**2 + 47*d**2 + 68*d**2) - 2*d**3 + 5*d**3 - d**3.\nAnswer: -2523*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**2 + 0*s**2 - 8*s**4 + 5*s**2 + 7*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + 54\/7. Let t(h) = h**2 - 2*h - 2. Let u be t(b). Suppose -2*z + 3*z = u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 255. What is the greatest common factor of 33 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-44)*(-644)\/966\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*2\/12*(-90)\/(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - -5 - (20 + 44 + -53).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.525955 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.3 (c) 0.2 (d) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - h**2 + 0*h + 37*h**2 + 3*h**2 - 16*h**2 + (2*h - 2*h + 4*h)*(-1 + 2*h + 1) to the form a + z*h**2 + t*h and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.21 + 4.31. Which is the closest to k? (a) -5 (b) -2 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(-7*k - k - 14*k)*(-1 - 21*k + 49*k - 33*k) to g*k + o*k**2 + d and give o.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.2683404 weeks?\nAnswer: 1.8783828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72563140332 - -1751\nAnswer: -72563138581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1 + 4*f**3 - 2*f**2 + 2*f - 2*f**3 + 0*f. Let v be 3 - ((-33)\/1)\/3. Suppose 2*t + 1 = -5*s - 0, 2*s - 4*t = v. Calculate z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72.7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -14 + (-7 - -5) + (-39 - -27).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 313 = 313. Suppose -9*r + 14146 + 218 = b. List the prime factors of r.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2717413*51\nAnswer: -138588063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 286?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*3*20\/45 + -9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34681 is divided by 4255?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12960 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Suppose 5*f - 2*f = 0. Let q = f - -21. Solve -2*y + 5*z = -25, 0 = -y - p*y + 2*z + q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 16 + 59445840*q**3 + 4*q - 59445863*q**3 - 16 as r + c*q**2 + x*q + w*q**3 and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12*t - 8 = -11*t, 5*n - 2*t = 34. Let i be 4 - 2\/(-1 + -1). Solve i*w + y + 5 = n*y, 0 = -3*y + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3604251 (base 8) to base 12.\nAnswer: -3b6209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19)*2*-3 + (-5 + sqrt(76)\/sqrt(4))**2).\nAnswer: -132 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10214303 rounded to 4 dps?\nAnswer: -0.1021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l - 4*c + 5*c, -4*c + 30 = 2*l. Suppose -2*o + 30 = -2*z, 4*o - 5*z - 41 = 22. Calculate the remainder when o is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/26*(-14807)\/2278)\/(18\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/4, -2\/7, -57, 2, 2\/29?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/20 + (40\/25 - 2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p + 0 + 0 + 3 + 1 - 5*p**2. Let g(a) = 1 - a**2 + 0 + 3*a - a. Let b = -770 + 768. Calculate b*m(y) + 9*g(y).\nAnswer: y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*b + 870 = 87*b. Solve 5*m = -4*g - 15 + 10, -b*g + 1 = -m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**5\/20 + 23*u**4\/12 - 32*u**3\/3 - 4*u**2 - 178*u. Let l be c(19). Calculate the highest common divisor of l and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 5*f + 3. Let j be p(3). Suppose -96*s = -97*s. What is the derivative of v**2 + 0*v**2 - j*v**2 + s - 6 wrt v?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -359*q**2\/2 + 447*q - 114. Differentiate j(d) with respect to d.\nAnswer: -359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 36 = -160. Let n = r - 11. Solve 5*h = -m - 12, 2*m - 5 = -n*h - 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12494.\nAnswer: 2, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 38 + 4*o)*(-o - o + o) - 2*o**2 + 0*o**2 + 3*o**2 + (5*o + 2*o - 5*o)*(4*o - 2*o - 3*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 952397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 42 = -27. Suppose 0 = -v + u*z + 16, 0 = v - 3*v - 4*z - 8. Suppose -v*a + 1047 = -8*l + 9*l, 0 = -3*a - 3*l + 783. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.5 + -20. Is 0.1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + -1. Let z = i - -38. Suppose -4*d = -5*r - 8, 0*r - 3*d + 6 = 2*r. Solve z = 4*g + 2*b - r*b, 4*g = -5*b + 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 7\/23, -18, 6?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 81650*s - 734744. What is w(9)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**4\/2 - 2*u**3\/9 - 2*u**2\/3 + 2. Determine l so that b(l) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 909040 and 352?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 + 1 = 0. Let j = 10 - 10. Solve 5*k = 0, j*r + 4*k = -u*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/15)\/r)\/((r\/(r**(-1\/9)*r))\/r) assuming r is positive.\nAnswer: r**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4*2514\nAnswer: -10056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 65*g + 32. Let b be q(18). Round b to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-92) + 0)*6. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94163\/458 greater than or equal to 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u. Let p be t(8). Suppose 0 = 4*l - 0*l - p. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g - 12. Let y(h) = 5*h**2 + 1. Let s(u) = u**2. Calculate g*y(t) - 9*s(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 160590709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = 3*p - 10*i - 19, -4*p + 16 = -2*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 6*j**2 - 15*j + 11. Let d be r(-8). Suppose d*s = 5*c - 192, 11*c = 8*c - 5*s + 88. Calculate the highest common factor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 - 117. Suppose -509 = -5*h - 3*l, -i*h - 4*l + l + 209 = 0. Calculate the remainder when 698 is divided by h.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229126 is divided by 2315?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.5 - 213.5. Let x = a - -221.00103. Round x to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3 - -14*31\/((-31)\/(-240))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204245 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: What comes next: 7202, 28638, 64306, 114206?\nAnswer: 178338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 43*u - 9 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449826452?\nAnswer: 2, 1627, 69119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 7*u**2 - 2*u**2 + (3 - 3 - 2*u)*(5*u - 3*u - 4*u) + (0 + 0 + 2)*(5*u + 0*u - u)*(7*u - 13 + 13).\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b be -14*-1*(-2)\/(-4). Solve b*c - 2*c = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19441.2 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -34814.43, -2\/3 in decreasing order.\nAnswer: -0.06, -2\/3, -34814.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-6))\/(2\/8*-2). Let t(m) = -48*m - 180. Let g be t(w). Solve -5 = 7*i - g*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 33*n**3\/2 - 67*n + 81. Let k(o) be the first derivative of j(o). Let z(f) = -f. What is k(z(t))?\nAnswer: -99*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + f = -0*v - 2, 2*f = -3*v + 6. Find the first derivative of 3 + 5*k**2 - v*k**2 + 0 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0201752 to 4 dps.\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:03 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(1287\/(-18)))\/(24\/(-22))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 81 = 2*s - 29, 5*k = 3*s + 110. Let j = 13 + k. Suppose -u = -6*u + j. Solve -5*i = 3*a + 17, -4*a - 19 = 4*i - u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - (-2 + -32). Suppose 0*y = -5*y + 2005. Let c = y + -398. Solve 4*b + b - 5*a + f = 0, c*b = -a - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 bigger than -696.691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7))**(-18))**(-6\/35)*(((w*w**0\/w*w)\/w)\/w)**(-40)*(w**(1\/4)*w)\/(w*w\/(w*w**(1\/3)*w)) assuming w is positive.\nAnswer: w**(124847\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (144\/20)\/6*(275\/40)\/11. Which is the third smallest value? (a) 18 (b) z (c) 3 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 110. Let t(g) = 4*g + 132. Let z(l) = -6*k(l) + 5*t(l). Let f(n) = 1205*n. Determine z(f(p)).\nAnswer: 2410*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.25 (b) 4 (c) -5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 27\/1652198 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33\/16 - 77\/48. Find the common denominator of x and 17\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*u + 2*u. Let d(a) = 3*a**2 + a - u + 2*a - 2*a**2 - 6*a. Determine d(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/32 or 0?\nAnswer: -21\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719067122.\nAnswer: 2, 16963, 80147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -402, -564?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = -0*h. What is the lowest common multiple of 4 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 10 + -3 + 86 + -75.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*s + 29555, 18*s = 15*s - 3. Calculate the greatest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 330116 - -197826.\nAnswer: 527942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.46 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -24. Solve 0 = 2*y - a, -x*a + 2 = -4*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 4 - 28681*m + 28487*m to q*m + l and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -16, -1, -2\/323?\nAnswer: -2\/323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**3\/3 - 7*i**2 + 3*i + 3. Let h be o(7). Solve -3 = -h*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b + 3. Let q(o) be the second derivative of -7\/3*o**3 - 4*o + 0 + 4*o**2. Determine 3*q(i) - 8*v(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.203565057 to 4 decimal places.\nAnswer: -0.2036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4636791390?\nAnswer: 2, 3, 5, 7, 11, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -3\/4 (c) 0.457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*s + 52*s - 22*s**3 + 0 + 1.\nAnswer: -22*s**3 - 24*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/3, 1, -3\/5, -19?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, 1 p, and 1 f when four letters picked without replacement from leelfiolipoeioo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 108607 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(-30)\/12*(-4)\/(-25). Suppose -5*r + 60 = m*g, -56 = -5*g - 3*r + 6. What is the remainder when 33 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*i + 28296 = 584*i - 150*i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -20 + 13 - (0 + 3)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s - 4*o + 16, s - o = 25. Suppose 0 = 4*p + k - s - 125, -5*p = 5*k - 200. Suppose 0 = i + 4*i - p. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 1:04 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 3*z - 1. Let x be o(-2). Suppose -3*k + x = -2*j, 0*k - j = k - 6. Let u be 17\/4 + (-1)\/4. Solve 7 + k = -u*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6437404 and 18?\nAnswer: 57936636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37317005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8909\/26 + -685\/2. Suppose 2*l - 4*t + 26 = -3*l, -t = -4. Which is the closest to l? (a) 0.5 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d + 414 = 157*d - 75*d. Solve -49 = -d*p - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 711 + 420 - 735 = 0 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -9\/7 (c) -386\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 14. Let y be i(-6). Suppose n - 149 = -5*m + 694, -4*n = y*m - 330. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, -10, -0.2, -0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i*i**(-1)*i**(-2\/15)*i**(-9))**38 assuming i is positive.\nAnswer: i**(-2356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2. Let q(z) = 3*z**2. Suppose -305*l + 308*l - 15 = 0. Calculate l*t(u) + 6*q(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8964 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n - 7. Let p be (-7)\/(3 + -1 + -3). Is q(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -3\/284, 4, -1\/4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkw when three letters picked without replacement from kkkkwkkkkkww?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-7))\/(2\/7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from wnnuuunuw.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-28)\/(-18) - 17238\/459. Let a(w) = -w**2 - 23*w - 20. Let n be a(-9). Suppose n = -8*q - 206. Is q < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)\/((-8)\/(-15 + 7)). Is u smaller than -8\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 217701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 174*u**2 - 339*u + 168.\nAnswer: -3*(u - 56)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8168381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01161 (b) 0.18444 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 0.5 (c) -226800 (d) -6\/11 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - w**2 - 2 + (2 - 2 + w)*(5*w - 4*w + w))*(2*w - 6*w + 3*w)*(1867 + 475 + 4770) as k*w**2 + h*w**3 + p*w + a and give h.\nAnswer: -7112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/64289 and 43\/4852?\nAnswer: 257156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221508936?\nAnswer: 2, 3, 11, 37, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006980338 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.5, 2, -2\/3, -2.5, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 - 60 = 4*h, -q + 5*h + 3 = 0. Let z(n) = n + 16. Calculate the lowest common multiple of z(q) and (-1 - 0) + 38\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u**(-8\/3)\/u*u))**(-46) assuming u is positive.\nAnswer: u**(460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -551?\nAnswer: -551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 29*c - 3780 = 0. Calculate the remainder when c is divided by (-20)\/(-1) - 4\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + g + 8 + 1584*g**2 + 9*g.\nAnswer: 1584*g**2 + 10*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*w + w = 4799957, l - 2*w - 1599987 = 0. Let x be 3\/5 + l\/25. Round x to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -86638 (c) -0.16 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = 0, 4*g - 11 = i + g. What is the remainder when 33 is divided by (7 - i)*(-4 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:07 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*h - 67, 0 = x + 2*h + 24 - 0. What is the remainder when x + 18 + (-138)\/(-3)*1 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -138*k**3 + 4*k + 2. What are the prime factors of z(-2)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 1, d: 1, h: 2}. What is prob of picking 1 d and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572903527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 - 3*p - 3. Let x be m(-2). Which is the closest to x? (a) -4 (b) -0.1 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + (-4)\/(-3). Let b(j) = -3 + 7 - 2 + 3*j. Let k(c) = c. Let u(y) = 5*y**2 + 55*y + 84. Let z be u(-9). Give r*b(s) + z*k(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2817949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 2955?\nAnswer: 2955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6322*h + 5972 wrt h?\nAnswer: -6322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 147?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116606*u + 1116538*u - 1632 = 0 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6082.\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 greater than or equal to 163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -5\/3 (c) -0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 4, -38, -82, -128, -176?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 26*d**2 + 10*d - 7. What is z(-7)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583 = -2*k - 3*k - 2*y, -3*y + 103 = -k. Let n = k + 115. Solve b - u - 4 = n, -8*u = 5*b - 3*u + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.07166606\nAnswer: -0.003583303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 130014+-429\nAnswer: 129585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/4))\/q)\/(q\/(q\/(q**2\/q))))**(-6\/17)\/(((q\/(q*q**6))\/q**(1\/4))\/(q**(-1))**(25\/7)) assuming q is positive.\nAnswer: q**(1401\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1453 divided by -14\nAnswer: 1453\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58097.4g in milligrams?\nAnswer: 58097400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26209 - -3239482\nAnswer: 3213273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5700346 - 25?\nAnswer: 5700321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -3271, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1707*p = 1717*p - 110. Let q(r) = 3*r**2 - 8*r + 7. What is the remainder when q(5) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14738, 29475, 44210, 58943, 73674?\nAnswer: 88403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pggo when four letters picked without replacement from {g: 7, s: 2, o: 4, t: 3, p: 2}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 390.31 - 386.31. Which is the fourth smallest value? (a) q (b) -2 (c) -0.019 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 24 = 0. Suppose -b + 0*b = -m. Let y(n) = -3*n**2 - 142*n + 567. Let v be y(-51). What is the greatest common divisor of v and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9440 divided by 944.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1572013\/42 + -37427. What is the common denominator of 23\/378 and n?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000171103694 rounded to seven decimal places?\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 1411?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157349412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -936 - -4697\/5. Find the common denominator of (-2)\/5*(-2)\/(-36) and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-12))\/(-5)*(-2 + 5). Let a(j) = -111*j**3 - 6*j**2 - j - 6. Let r be a(-3). Is r + 3\/y + (-2)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 41 = -4*j. Let r be (-1)\/(-4) + 45\/j. Solve 0*u + 2*u + r*t = 10, 4*t = 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*d + 3*d - d)*(-2*d + 3*d - 2*d) + 21*d - 4 + d**2 - 21*d)*(135*d + 84*d - 2*d) as i + n*d + z*d**3 + w*d**2 and give z.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1593084804 - -142.1.\nAnswer: -1593084661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 24706480\nAnswer: -1\/24706480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13778637 + 20018637. Suppose p = -105*g + 101*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -88 - ((-7)\/2 + 4). Let q = -89 - l. Suppose 5*o = -1 - 19. What is the closest to q in -2\/3, -4\/5, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*r + 132*r + 37*r)*(3 - 1 - 1 + (5 - 3 - 3)*(-5 + 1 + 2) - 1 + 4 - 2).\nAnswer: 532*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3 - 24435*x**2 - 4319885*x - 156095445 = 0?\nAnswer: -121, -51, 5059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 4:23 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o - 2*o)*(2*o - o + 14*o) + o**2 + 2*o - 2*o + (0 + 3 - 4)*(4*o - 4*o - o**2) + 0 + 0 + o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-100)\/(-15))\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/640*-2328 + 36.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)*(-3 - 192\/(-60)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11059823 by -11.\nAnswer: 11059823\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/11)\/((n*n\/n**(-2\/7)*n)\/n)*(n*n*n**(1\/2))\/n**10 assuming n is positive.\nAnswer: n**(-1451\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -7*g**4\/12 - g**3\/6 - g. Let n be d(1). Let y = -4 - n. Solve -2*i - 2*i + 2*k = -12, k = -y*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2 + -4 + -2 + sqrt(425) + 0)**2 + 0.\nAnswer: 60*sqrt(17) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*f + 2*f**3 - 3*f - f**2 + 9*f to the form y*f**2 + g*f + p + r*f**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15.39044mg?\nAnswer: 0.00001539044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 2*q + 1. Suppose 0 + 1 = o. Let d(h) = h + 2. What is the remainder when d(7) is divided by y(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*8\/13*(-4542)\/6056.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3883 or 3882?\nAnswer: 3882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8620263345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 920*c + 920*c - 5*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00990996 rounded to 5 decimal places?\nAnswer: -0.00991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 11 = -3*y + 6*y, 2*y = 4*u + 2. What is the third derivative of -21*v**2 - 20*v**3 + 10*v**u - 8*v**2 wrt v?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6899 = -270*j + 689 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:50 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51818*i + 44116 with respect to i.\nAnswer: 51818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 981, 2495, 4603?\n\"Answer: 297*v**2 + 29*v - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 3*g**2 - 2*g + 660. Let v be t(0). Suppose v = 4*r - z, 0*r - r - z + 160 = 0. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u = 108185182 - 108190222 for u.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/666888 and 87\/24032.\nAnswer: 2667552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxcx when four letters picked without replacement from xpxppxpxpccpx.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**3 - 3. Let u = 6 - 1. Let z(w) = 74*w**2 - 195*w**2 + 64*w**2 + 57*w**2 + 5 - 15*w**3. Determine u*p(y) + 3*z(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let k(f) = a*f - 3*f - 2*f. Let d(q) be the first derivative of 3*q**2\/2 + 22. Give d(k(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/2 (c) 2.873 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(sqrt(1700) + -1 + sqrt(1700)) + 5 + 3)**2.\nAnswer: -240*sqrt(17) + 244801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -9. Suppose l - 2*h - s*h - 25 = 0, -3*l = 4*h + 5. Solve 4*x + 12 = 0, -2*x + 12 = -3*r - l*x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 181. Let f(s) = -s + 55. Calculate 7*f(h) + 2*k(h).\nAnswer: -3*h + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/4974004 and 46\/19649?\nAnswer: 34818028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 14. Let k = c + 78. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95714 by 47857.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 656 + 55. Suppose 1 = -i, -5*i = -5*r + f + 9. List the prime factors of r.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 33*l**2 + 8*l - 7. Let f = 21 - 41. Is i(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*6)\/(sqrt(30)\/sqrt(6)*-4).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58\/(-5)*(3 + -93)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 1650*k + 285488. What is r(158)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5124 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**2\/2 - 7*h + 210. What is x(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235 - 231. Let b be (-9 + 67\/j)*2*-2. Is b greater than or equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 6. Suppose -19 = -l*u + 6*d - d, u - d - 11 = 0. Let v be 154\/21 - u\/9. What is the highest common factor of 15 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36107703?\nAnswer: 3, 47, 85361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/2)*q**(7\/3) assuming q is positive.\nAnswer: q**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, 3\/10, -3, -1\/9, 1\/8, 9\/2, -44?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -4 + (11 - (7 - 8 - -12))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:14 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/7 at least as big as 14.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*z - 19, -5*t + 0*z - 137 = z. Let w be (12\/(-4))\/(t\/3). Which is the smallest value? (a) 3 (b) w (c) -1\/4 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let i be y(-2). Let g be 1*1\/i*-14. Suppose k = g + 28. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 15 - 9 = 10*a + 100, 4*x = 7*a + 100 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -673*f**2 + 16046*f**2 - 6246*f**2 + (-2*f - 3*f + 3*f)*(3*f - 4*f + 3*f) to t + y*f**2 + l*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915 < 3917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5856*d**3 + 3*d + 686?\nAnswer: 35136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4089787?\nAnswer: 13, 314599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -913 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -171438.26736 and 39.\nAnswer: -171399.26736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453136163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + (-16)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 + k - 1. Let i(y) = -441*y**3 - 3*y**2 + 3*y + 56. Let a(f) = i(f) - 3*w(f). Find the first derivative of a(u) wrt u.\nAnswer: -1314*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11827793423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -39. Which is the second smallest value? (a) q (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 2*w + 4*w**3 + 54*w**2 - 54*w**2. Let c(u) = -u**3 + u. Calculate -5*c(k) - 3*j(k).\nAnswer: 2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 + -5 - 2) - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.5. Let r be 3\/(-2) + 180\/(-40). What is the third biggest value in 0.5, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 6. Let n be w(-7). Let x be (-84)\/(-48) - 6\/n. Let m(i) = 15*i**3 - i**2. Calculate the remainder when m(x) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105208568820.66871 + 105159301697.67. Let u = b + 49267335. Let n = u - 212. Round n to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffjgfpfpjpjjrgjgjof. What is prob of picking 1 r, 1 g, and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1285 + 850. Let j = d + 433. What is the smallest value in -0.01, j, 5, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 2\/3, 9091, 2, 35?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 277406 and 398.\nAnswer: 277406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/2 of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*u - 91*u - 11 + 3 - 9*u**2 + 3*u**2.\nAnswer: -6*u**2 - 207*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/52456 and 67\/1328.\nAnswer: 104912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 102, 89?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50750722 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 146497054 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from kkglppf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*j = -2128 - 457 - 2437 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 1. Let y(k) = -k**4 + 2*k**3 - 5*k + 4. Let s = -6 - 6. Let p be (4\/(-12))\/(4\/s). Let o(l) = p*y(l) - 3*t(l). Factor o(h).\nAnswer: -(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 789, 0.4, -1\/2, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/30*(-48)\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 121, 230, 361, 508?\n\"Answer: -m**3 + 20*m**2 + 28*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, r: 3, j: 2, e: 1, s: 2, y: 1}. What is prob of picking 1 l, 2 r, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(1377)*3)**2 - (sqrt(1377) + (0 + (sqrt(1377) + sqrt(1377) + -2 - sqrt(1377)) + sqrt(1377))**2))*-3*3*-5.\nAnswer: 8505*sqrt(17) + 5948100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21582 times 2039\nAnswer: 44005698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b23 (base 15) in base 9?\nAnswer: -8056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p - 1. Let x be (1 + -1 - -1) + -2. Give k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/h)**(1\/17)*((h\/(h\/(h**(-2)\/h)))\/h*h)\/((h**(-6)*h)\/h) assuming h is positive.\nAnswer: h**(201\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*t = -153*t + 18, 0 = r + 5*t - 17194. List the prime factors of r.\nAnswer: 2, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 4*t**2 - 4*t - 5. Let d be b(5). Let f be (d - -3)\/(-6)*-2. Put -3, -2, f in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = g - 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 4. Let m be 2 - 1 - (-4 + 11). Let l(y) = 11*y - 23. Let c(j) = m*l(j) - 34*f(j). Calculate c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 + 3*t. Let z(r) = -2*r**2 + 4*r - 4. Let w(y) = 4*y**2 - 7*y + 7. Let o(q) = 4*w(q) + 7*z(q). Calculate i(o(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnpp when four letters picked without replacement from ppnnnnppnnnnnnpnpnp.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1544217 (base 10) to base 12\nAnswer: -625789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-58)\/(-30)*5. Let t(m) = -m**3 + 36*m**2 - 159*m + 42. List the prime factors of t(n).\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111220100 (base 3) in base 14?\nAnswer: 1407a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**(1\/4)\/q)\/q))\/q)\/(q*q\/(q\/q**(-2\/9))))\/(q**(-1\/2))**8*(((q\/q**1)\/q)\/(q**(-2\/11)*q))\/(q**(2\/7)*q*q*q\/(q*q**(-4\/5)*q)) assuming q is positive.\nAnswer: q**(14807\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + l - 60 = 0, -5*q + 3*l - 66 = 4*l. Let m = -5 - q. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 - 3.25. Let q = s + 0.15. Let c = 1.2 - q. What is the third biggest value in c, -1, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261846649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1198*k = -1315*k + 30156 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117623 + 215089. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25920443 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -42*j**2 + j. Calculate a(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 6*z**2 - z**2)*(-34506 - 34512 + 69018 + 26950*z).\nAnswer: 26950*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 452, 1, -4, -0.1, -8, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -1. Suppose 9*b - 108 = -54. Solve d = -2*x + 2 - b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w**2 + 11*w - 15. Let m(j) = -6*j**2 - 4*j + 5. Suppose 5*p - 246 = -266. Calculate p*x(r) - 11*m(r).\nAnswer: -2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 194511688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-288)\/240 - (-288)\/15. Calculate the highest common divisor of b and 4314.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -27*s**5\/10 + s**3\/6 - 11*s. Let h be k(1). Let b = 95 + h. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(((y*y**6)\/y)\/y*y)))\/y**(2\/3)*(y**(-1\/2))**(2\/9) assuming y is positive.\nAnswer: y**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-4 + sqrt(1584) + 1) + -3*(-5 + 1 + sqrt(1584)))*-5)**2.\nAnswer: -36000*sqrt(11) + 639225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-24)*(1 + 14\/(-2)). Suppose -y*x = 2*x - 85. Calculate the remainder when 39 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.68928 to zero dps.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-10))\/(4246\/106150)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21b (base 12) to base 4.\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/4 - 3073*s**3\/4 + 18573*s**2\/4 + 304717*s\/4 - 80054 = 0?\nAnswer: -3079, -8, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1193 + 2975. Let l = -1185 + y. What are the prime factors of l?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/41674 and -133\/4020.\nAnswer: 1250220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(17)) - sqrt(34)\/sqrt(2)*5.\nAnswer: -4*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = 0. Solve r + 3 + 2 = y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*n**2 - 13*n**2 + 44*n**2 + (4*n - 4*n - 3*n)*(-3*n + 2*n + 0*n))*(-2*n - 3*n + 3*n).\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55167.\nAnswer: 3, 7, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 686 = -131. Suppose -27*p - 69 = -s. What is the highest common factor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 2064, 7041, 16718, 32661, 56436?\nAnswer: 89609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2, -17*s - 3*m - 9324 = -22*s. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**3 + 1169*l**2 - 232*l + 436. Give r(-234).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5 - 1 - 3. Let f(h) = -3*h - 2. Let s(q) = f(q) - 5*l(q). Let b be s(-4). Solve 4*j = -3*w - j + 17, 0 = -w + b*j - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (0 - -3 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067391 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - m + 7 = -2*m, 2*r - 3*m = 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10008 + 10012 - 30029 + 10009 + 346*w.\nAnswer: 346*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -0.22.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 - 288*m\/13 - 10368\/13.\nAnswer: -2*(m + 72)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (139 - 80) + ((-48)\/(-9))\/((-14)\/21).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7042401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 37*z - 369. Determine n(26).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6674 + -6684. Which is the third smallest value? (a) -92 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 2*y - 130, -64 = 1640*y - 1637*y + 5*m. Solve 11\/4*k + 0 + 1\/4*k**y = 0 for k.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207 - 51*t**3 - 2*t**4 - t**4 + 53 - 37 - 261 with respect to t.\nAnswer: -12*t**3 - 153*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -4?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (3 + -6 + 0). Suppose -i + 70 = -5*t, 4*t + 390 = b*i - t. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10538*y - 10802*y - 62870*y - 80283*y.\nAnswer: -164493*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-8*(-9)\/216)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y + 4. Let f(t) = -8*t - 4. Let a(c) = -6*f(c) - 7*m(c). Let u be a(-12). Let b(p) = 5*p - 21. Calculate the remainder when b(u) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 3, p: 2, u: 1, t: 2, w: 8}. Give prob of sequence poup.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 24 = 2*n, -4*l = -n - 2*n + 22. Let f(s) = -5*s + 12. Let k be f(n). Let d(i) = 89*i**k - 181*i**2 + 90*i**2. Let m(y) = -86*y. Determine m(d(p)).\nAnswer: 172*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 2*r - 9. Calculate c(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from rrhhhhhrrrhrr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 58 (b) 179 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-7 - -3) + 1*4. Solve -b*w - 14 = -0*s - 2*s, 3*s = w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 11*a - 2. What is the lowest common multiple of k(-5) and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 - -119. Let k be (-2067)\/(-33) - (-6 - -10). Let m = -61 + k. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2232*o**4 + 458*o**2 - 47969821*o?\nAnswer: 26784*o**2 + 916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 83 + -50 + -24?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 5*u + 2. Let p(q) = q - 3. Let t be p(7). Let o(i) = i**2 + 5*i - 8. What is the least common multiple of b(t) and o(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 1100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, 0.4, -16011421?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -11.61?\nAnswer: -139.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/60410 and 59\/1727726.\nAnswer: 8638630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**3 + 11*c**2 + 11*c - 11. Let y(j) = 4*j**3 - 6*j**2 - 6*j + 6. What is 6*t(o) + 11*y(o)?\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 230, 814, 1952, 3830, 6634, 10550?\nAnswer: 15764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/126*-3 + 11\/(-6). Let i(c) = 8*c - 3 + 2 - c + 0. Determine i(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/36 and 127\/672?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 <= 44\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q + 1. Let l(x) = -x**2 + 5*x - 2. Let m(j) = -j**3 - 14*j**2 + 14*j - 17. Let k be m(-15). What is k*s(h) - l(h)?\nAnswer: -h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) - sqrt(1715)*-2)*-3 + sqrt(1715))\/((2*sqrt(405) + sqrt(405) - sqrt(405) - sqrt(405))*1).\nAnswer: -56*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -45, -9, 43, 111?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282438 divided by -71.\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*w - 14 - 14 = 0, 3*y = -2*w + 22. Let o = y + -5. Suppose b - 12 = -o*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 1. Let o(a) = 31*a + 12. Let r(s) = -5*g(s) + o(s). Is r(31) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 73486 = 6*s - 320025, t + 7 = 0. List the prime factors of s.\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, t: 2}. Give prob of sequence rrrr.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249*r - 3728 - 3742 + 7469 + 1265*r**4 wrt r?\nAnswer: 15180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 16*q**3 + 16*q**2 + 22*q - 1. Let r(d) = 77*d**3 + 80*d**2 + 112*d - 5. Let y(b) = 24*f(b) - 5*r(b). Calculate y(-13).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = -4*h + 4*d, 53 = -3*h - d - 159. Let w be (-4)\/(-18) - (-70)\/h. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 37*x**2 - 34*x + 1. Let j be l(14). Suppose -4*o = -4*b - 2051 - j, 4*o - 5*b = 8832. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.34, 0.32, 1\/4?\nAnswer: -2.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjscspxx. What is prob of sequence psx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27138 - -22474. What are the prime factors of f?\nAnswer: 2, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 315130000 to the nearest one million.\nAnswer: 315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -31 (b) 1\/11 (c) 2.9 (d) -2\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**8\/1680 - 5*i**4\/24 - 3*i**3\/2 - 4*i. Let y(g) be the second derivative of h(g). Find the first derivative of y(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4 + (-508785)\/(-19260))*3\/(-2)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1544)\/(-14)*2 - (-456)\/(-798). What is the highest common factor of 176 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 98\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 15 = -b, -b - 33 = -3*b - q. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -2361895 in decreasing order.\nAnswer: 10, 5, -2361895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/23? (a) -0.2 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 30*m**2 - 4*m - 66. Determine s(-30).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**5 - 4*c**5 - c**5 + (2*c - 2*c - 3*c)*(-2 + 2 - 1)*(0*c**3 + 9*c**4 + 0*c**3).\nAnswer: 28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4352 + 7063. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*g - c + 6*c, 5*g + 8 = -2*c. Let s = 2175\/7 + -115205\/371. Is g at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 18*x + 15. Let r be p(-13). Let a be (-64)\/10*40\/(-16). What is the greatest common divisor of r and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyz when three letters picked without replacement from leyyllylylylylzl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4807 - 890 - 477 = -98*k for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 8929296812 - 8929296812 + 4*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 116 = 128, 2*t + 10 = 2*h. Sort 13, -5, h, 4 in descending order.\nAnswer: 13, 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384 + -349 - (112 + (14 - 21)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 31 = -i, -4*i + 18 = -4*m + 58. Suppose -3*k = m*k - 220. Let q(l) = k - 22 - 15*l + 18*l. Let s(a) = 5*a**2. Calculate q(s(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*z = 30, 3*k + 4*z = z + 18. Suppose -k*f - 128 = -11*f. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.3, 0, -9, 0.2.\nAnswer: -9, -5, 0, 0.2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -6 - 8) + -3 + -9 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, 183, -4, 2 in descending order.\nAnswer: 183, 22, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 395\/1896*(-24)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 12 = -8. Suppose 0 = z - 1 - 1. Solve d = -z*j - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -111222212200?\nAnswer: -111222212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428073161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4 - 5*s + 5 + 12 - 3*s**2. Let h be v(-10). Let n = 648 + h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1.672 (c) -700\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188919 and 128817.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/130 (b) -36 (c) 1\/4 (d) 1 (e) -1\/4 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -725.894869 rounded to zero decimal places?\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-9 + 1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c + 92. Calculate x(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*9\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i. Let b be m(0). Is 0 + (26 + b)*2 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 70844748 and 120.\nAnswer: 70844868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23588368 bigger than 23588368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.4067ml to litres.\nAnswer: 0.0104067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**21\/k)*k\/k**(-1\/47) assuming k is positive.\nAnswer: k**(-845\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389614, -779229, -1168844, -1558459, -1948074, -2337689?\nAnswer: -2727304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t - 1. Let q = t - -18. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*z = 717*z + 22746 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 63. Let m be (-628)\/15 - (-4)\/c. Let s = m - -102. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*o**4*z**2 + o**3*z**2 - 2*o**2*z**2 - 459*o**2 wrt o?\nAnswer: -2640*o*z**2 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v**(2\/7))**(9\/2)\/((((v\/(v*v**4))\/v)\/(v*v**1*v))\/(((v\/(v*v\/(v**(-6)*v)*v))\/v)\/v**6)) assuming v is positive.\nAnswer: v**(-255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 + (3 - (6 + -5 + 3 - 11)) + -11?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -15*f**3 - 1644*f**2 + 660*f = 0.\nAnswer: -110, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let p(s) be the third derivative of -s**3\/6 + 2*s**2. Let z(f) = -f + 1. Let t be z(6). Let j = -3 - t. Calculate j*u(m) - p(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4123274186?\nAnswer: 2, 47, 43864619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 613\/1584 - -5\/99. Suppose -3*u + 48 = -u. Find the common denominator of z and ((-124)\/18)\/((-64)\/u).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -20. Let i = 7 + y. Sort i, 0, 2\/17 in increasing order.\nAnswer: i, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (17\/(-9))\/(11\/(-33))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 222\/69949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 499.9 + -464. Let v = x - 36. Which is the closest to -1? (a) 0.2 (b) v (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4578 - -4728. Calculate the greatest common divisor of a and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 0 + 29*t + 1\/4*t**4 + 4*t**3 + 21\/2*t**2. Find m, given that k(m) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 673 + 371 = -48*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84135134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -292501480 and -292501480 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 950413 - 4*u + 8*u**2 + u.\nAnswer: 8*u**2 - 5*u - 950413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34\/(-119) - 975\/(-7) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57586058.\nAnswer: 2, 41, 702269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 10692826?\nAnswer: -5\/10692826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2652 + -0.45?\nAnswer: -0.7152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2, -1\/6, 6774?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {u: 7, t: 3, e: 3, o: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 236 - 4540452*v**2 + 4536017*v**2.\nAnswer: -4435*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 64*n**2. Let j(o) = 150*o - 76*o - 74*o + o**2 - 5*o**2. Determine j(y(x)).\nAnswer: -16384*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + 13*k**2 - 3922*k - 7882. Give b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(4914\/(-693))\/(-39).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3019 + -21130\/7. Find o such that 6\/7 - 9\/7*o**2 + z*o**4 + 3\/7*o - 3\/7*o**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47845 or -47865?\nAnswer: -47865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c - 2. Suppose 8*z - 9 = 5*z. Let v be a(z). Is 0.1 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + 8 + (-10 - (-302)\/22). What is the biggest value in -1, t, -9.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -1.523085?\nAnswer: 1.223085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 4, p: 2, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 4 (c) 3\/5 (d) 213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g + 12. Let d be y(0). Suppose 0 = 5*q - 0*q + 20. Let i = q + d. Calculate the greatest common factor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3735.09*-0.07\nAnswer: -261.4563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -d31 (base 15) to base 6\nAnswer: -21431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6033017us to nanoseconds.\nAnswer: 603.3017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-855)\/60 - -13)*(-6 - -2). Solve 0*c + 27\/2*c**f + 0 - 3*c**2 + 3*c**4 - 27\/2*c**3 = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 70109*v + 4350614. Calculate a(62).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3985333 tonnes in milligrams?\nAnswer: 398533300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*m - 622, -4*g + 1262 = -92*m + 87*m. What is the remainder when g is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 13*d. Let u(o) = -o**2 + 11*o - 4. Let x be u(7). Suppose -5*h + 2*h + 2*f = -29, 3*h = -3*f + x. Let r(i) = h*i + i - 9*i. Give r(b(m)).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Suppose 0 = m*j + 7 + 5. Let k = 6 + j. Is k greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + -2*(-2)\/4. Suppose -5*m + 2*s + 11 + 41 = 0, m + 5*s - 5 = 0. Let w = r + m. Solve -2*b = w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260544 (base 8) to base 10\nAnswer: 90468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-100))\/((-6)\/(-8)). Let y = -11 + 11. What is the nearest to y in -3\/8, 1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 12*a**3 - 27837. Let u(o) = -o**2 + 5*o. Let p(c) = c**2 - 4*c. Let s(k) = -5*p(k) - 4*u(k). Determine d(s(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -954 - -956. Put 20, x, 8 in decreasing order.\nAnswer: 20, 8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/3, 1\/3, -105.58, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1131 and 102747.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 98. Let v be (-24)\/(-10) - (-6)\/(-15). Suppose -2*w + d = -35, v*w = 5*w + 2*d - 70. What is the remainder when u is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 70*o**2 - 2*o - 3. What is m(-1)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155\/((-72)\/(-27) - (-85)\/(-33))?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0*k - 1\/480*k**6 + 5\/96*k**4 + 16*k**2 + 0*k**3 - 1\/60*k**5 + 2. Factor j(w).\nAnswer: -w*(w - 1)*(w + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-4) + 3 - 1. Suppose -4*j + 6*j + 2*i = 186, -j + i + 89 = q. List the prime factors of j.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 + 4148*w**2 - 5804 with respect to w.\nAnswer: 8*w**3 + 8296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l - 2\/33*l**3 + 0*l**2 + 1\/33*l**6 - 6\/55*l**5 + 3\/22*l**4 + 4. Let s(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 220688806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-12)*-2824003 - 18\/12. Round z to the nearest ten thousand.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108121917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 3*w - 4*w)*(w + 2*w - 2*w)*(2*w + 5*w - 5*w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*c = 58, -2*v + 56 = -0*c + 4*c. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117747226\/11217819 - 2\/238677. Let a = 1\/282 - z. Find the common denominator of a and ((-3)\/1)\/1 + 665\/290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 196*n - 1603. Let w be g(106). Solve 57*t = -36*t + w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.59 + -14.89. Which is the smallest value? (a) -2\/19 (b) w (c) 1\/9 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 - -7. Let d be (-1)\/((-40)\/146) + 38\/c. Which is smaller: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1608 - 962. Let z = -645 + t. Let h(v) = 5*v - 1. What is the least common multiple of z and h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2054360 and 1392.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278 and 289537.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**7\/14 + 3*a**6\/10 - 3*a**5\/10 - a**4\/2 + 3*a**3\/2 - 3*a**2\/2 + 15*a. Let w(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:02 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*p - 14, 4*l + 6*p = 2*p - 24. Let v be ((0\/(-1))\/l)\/(-9 + 11). Solve v*n + w = 3*n + 3, -w = n + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:10 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/19, 2307\/8 in decreasing order.\nAnswer: 2307\/8, -0.1, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 8631.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13734 (base 13) to base 3.\nAnswer: 1211220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2102006 and -49?\nAnswer: -102998294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-45))\/(205\/(-50) - -6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 + 6*m + 5. Let u be o(5). Suppose 0 = 13*k - 15*k + u. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 30*q - 13*q - 10*q)*(-19 + 4*q**2 + 19).\nAnswer: 28*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 21. Let p be 2\/(-3*3\/(-180)). Suppose 10*c - 80 - p = 0. Solve 8*k - j*k = -c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.3 and -1.03962.\nAnswer: -6.33962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -10\/1129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 + -3.3. Let f = 0.1 - 0.1. Let n = v + f. Is -1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 260, 1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = 3*y. Let i = 4 + y. Suppose z = -0 + i. Calculate the least common multiple of 11 and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let g be 0\/((-6)\/9*-3). Let k = g - i. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2077.\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + -5*3*sqrt(95) + (sqrt(95)*-1 - sqrt(95))*4)\/(-6*sqrt(55)\/(3*(sqrt(11) + sqrt(22)\/sqrt(2)))))**2.\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.072 - -0.635. What is i rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13 = 2*r, 0 = -b - 4*r - 9 - 0. Suppose b*v = 4*m + 11*v - 1152, 3*m + v = 856. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68412.1992 to the nearest ten.\nAnswer: -68410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 7 - 2*b + 9)*(3*b + 2*b**3 - 3*b).\nAnswer: -4*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1145890*z. Let l(u) = -96*u**2. Calculate l(n(m)).\nAnswer: -126054133641600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.716262 and 50.442.\nAnswer: 73.158262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/((-2)\/(-6)). Let v(n) = -n + 1. Let d(z) = -3*z + 2. Let w(f) = p*v(f) + d(f). Let t(l) = -l**2. Determine t(w(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -4\/9, -361, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -86*z. Let x(h) = -3*h - 26*h + 7*h**2 - 4*h + 33*h. Determine l(x(i)).\nAnswer: -602*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1704 + 850 - 5*k**2 - 5*k + 854.\nAnswer: -5*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281479301029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168854 and 43022?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d**2 + 0 + 0)*(-1 - 4 + 3) + (4*d - 2*d + 0*d)*(-1 + 1 - 2*d))*(-4*d**2 + d**2 + 0*d**2).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5387417018.\nAnswer: 2, 47, 57312947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 45685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6187 - -6187. Which is the closest to -35? (a) 2 (b) -2\/9 (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-42)*(-27)\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 56 = 5*u + q, -4*q + 52 = 4*u. Let g be (0 + -6)*(-2)\/u. Solve -2*a + g = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1050 and 2400?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-51)\/34)\/(((-6)\/4)\/3). Suppose 0 = -2*t - 4*y - 58, f*t + 4*y = 4*t + 41. Let u = t + 33. Solve -3*p = 2*i - 1, 2*p = -u*i + 4*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -535\/1281 - 2\/183. Let s = -1780\/13 + 14971\/65. Let r = -94 + s. Which is the closest to r? (a) 0.1 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/((-1)\/21).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332652 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 47*m - 59070. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119409 divided by -798\nAnswer: -39803\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Suppose v*w + 17 - 55 = 0. What is the greatest common factor of 38 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 - 35 = 5*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.198 + -18.698. Put d, 1, 20, 1\/4 in increasing order.\nAnswer: d, 1\/4, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -8, -2, -3.\nAnswer: -16, -8, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3891*l**2 - 3887*l**2 + 7 + 4 as t*l**2 + j + p*l and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35118402743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1933*h - 15951. Calculate x(8).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 3. Let l be d(-3). Suppose 0 = -2*s - 3*n - 2, -3*s + s + l = -n. Let b(w) = 5*w - 4*w - 2*w + w**s. Determine b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8316 and 12852.\nAnswer: 141372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 150\/(-60)*(-18)\/15*(-4)\/(-6). Sort -4, n, -591.\nAnswer: -591, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24289 and -240?\nAnswer: 24049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12761)\/35 + 12\/20. Does 47 divide (-18)\/5*(o\/8 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 715*l - 6. Let c(w) = 5599*w - 1. Give c(j(x)).\nAnswer: 4003285*x - 33595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-18)\/(-54)*(-24)\/(-2). Suppose 2 = 6*w - m*w + v, 2*w + 5*v - 3 = 0. Let n = 0.14 + -0.04. Sort 1\/16, n, w in decreasing order.\nAnswer: n, 1\/16, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215536?\nAnswer: 2, 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-201)*-2*3\/(-12)*102\/(-102)?\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -128796\nAnswer: -9\/42932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 + 55572511*o**2 - 693179*o?\nAnswer: -24*o**2 + 111145022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 1093468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d**3 + 0*d**6 + 0 - 1\/336*d**8 + 4*d**2 + 1\/30*d**5 + 1\/24*d**4 + 0*d - 1\/105*d**7. Factor x(c).\nAnswer: -c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448658?\nAnswer: 2, 7, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from {z: 7, l: 2, t: 3, o: 5}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j + 40*j = 92*j. Solve 12*d - 14*d + 4 = j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -32*w - 318. Let b = w + 582. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6741871.\nAnswer: 59, 114269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 3*p - 5*p + (-4 + 2 + 3)*(96*p + 7*p - 48*p)*(0 + 1 + 0) to w*p + r and give w.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 12*m - 29. Let y = 1028 - 1020. What is d(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.659 + -0.059. Let t = k - 8.6. Let n = 27 - 59. Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 2:43 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1143 and 81661.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-seven fifths of a meter?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 26 = -0*s + 5*w, -2*s + 16 = -3*w. Suppose -s*x = -3*x + 4. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13174 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4.183.\nAnswer: 12.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*u + 19 = -2*q, 4*u + 12 = 4*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 36 - 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2\/2 - 685*s + 93845\/2 = 0. What is s?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -32. What is the smallest value in 7, -3, w, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51938295, 103876597, 155814899, 207753201, 259691503?\nAnswer: 311629805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 42. Let k be 0\/((-1)\/(3\/6)). List the prime factors of q(k).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-33)*(b*b**(-28\/5)\/b)\/b*(b**(-3\/7)\/b*b)**(-23) assuming b is positive.\nAnswer: b**(-1041\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 443\/991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3827704*c**3 + 186*c + 13302 wrt c?\nAnswer: -22966224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -15, 5, -12 in increasing order.\nAnswer: -15, -12, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Let i be (-6)\/(-27) + 2\/(-9). Which is the second smallest value? (a) i (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*4\/3 + -7. Suppose -3*n = 3*t + 3, 3*n + 15 = 4*t - t. Put t, 1, c in descending order.\nAnswer: t, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 5*m = -952. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154045152 + -204?\nAnswer: -154045400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*s + 2*o - 20, 5*s + 5*o = 25. Suppose 1\/5*a**3 - 1\/5*a**5 + 0 + 0*a**4 + 0*a**2 + s*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29602 and 1444.\nAnswer: 59204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = -u. Let k be 12*(3 - 2)\/u. Solve -o = -5*o - k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:54 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99353 and 2117.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -197164 less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 113*r**3 + 1811*r**2 + 43*r - 81. Give i(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/((-44)\/165)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56249\/924 + -675\/11. Let d = -887\/380 - -33\/76. What is the common denominator of d and l?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + -72 + 70 + 85.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 19704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*t**3\/17 - 286*t**2\/17 - 722*t\/17 - 386\/17.\nAnswer: 2*(t + 1)**2*(25*t - 193)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/((-2)\/4). Let z be (-1 + 0)\/((-13)\/13). Find the first derivative of 2 - 2*x**2 - z - r wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:51 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283834*q**3 + 139092*q**3 + 144752*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-37) assuming s is positive.\nAnswer: s**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0411 - 0.041102118. Round m to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 + -4 - 0) - (12 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073742\/42 + (-10)\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 2*c. Find the second derivative of 7*z**c + 15*z - 9*z - 4*z**2 wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 10. Let h(c) = 54*c + 1. Let n(l) = l. Let t(z) = k*n(z) - h(z). Does 22 divide t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8209 + 519?\nAnswer: 8728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002633995 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*i**2 + 33*i**2 + 1178*i**2.\nAnswer: 1174*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20 and -59\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1065?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 13. Let f(x) = -x**3 - 5*x**2 - 4*x - 3. Let w be f(-4). Let b = k + w. Put -5, b, -3 in increasing order.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1776 divided by 16.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 + 49*m**2\/2 + 624*m + 1152 = 0 for m.\nAnswer: -48, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -2)\/(-4 - -3). Suppose -g = x - 5. Suppose -4*r = -x*u - 816, -4*u = -3*u + 5. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = -23. Let n = 7 - 27. Let v = h + n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 1552 = -21*j. Round j to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 7. Let z(o) be the first derivative of -o**4\/4 + 2*o**3 + 5*o**2\/2 + 7*o + 3. Let j be z(7). Let u be l(j). Solve 2*f + u = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 11*t = 390. Let w(k) = -k**2 - 2. Let f(g) = -2*g**2 - g - 5. Determine t*w(n) - 6*f(n).\nAnswer: -3*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 434.\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2633? (a) -2\/5 (b) -16 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*z - 6, 0*i + 3*z = -2*i - 8. Let m(c) = 12*c**2 + c + 1. List the prime factors of m(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.91 + 2.1. Let n = m - 5.19. Which is the nearest to -0.1? (a) -0.2 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/32 and -71\/912?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i + i + i)*(2*i**2 + 3*i**2 - 6*i**2) + (1 - 3 + 1)*(10*i**3 - 8*i**3 - 42*i**3))*(-2*i - 4 + 4).\nAnswer: -84*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -40*k**2 + 80*k + 25. Let c(y) = 5*y**2 - 10*y - 3. Let j = 57 - 32. Let p(a) = j*c(a) + 3*u(a). Solve p(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 4272.\nAnswer: -12816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 17. Let q = -2 - c. Let y be (-12)\/q + (-1 - -4). Put -1, y, -4 in decreasing order.\nAnswer: y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5678 equal to 3205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 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: What is prob of sequence tu when two letters picked without replacement from {u: 3, n: 1, t: 7, g: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*w - 45*w - 106425 = 0. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 6\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.6 (b) 0.5 (c) 2\/9 (d) -17 (e) 3 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -22*n - 34. Suppose -k - 3*d = -4*k + 3, 0 = k + d - 11. Let h(t) = 2*t + 3. Let y(r) = k*o(r) + 68*h(r). Let q(a) = -a. What is y(q(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b64 - -b?\nAnswer: b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7528 + 7540 = -2*d, 0 = -3*f + d - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.61 - -3.39. Sort -3, -0.2, h in descending order.\nAnswer: h, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43960 and 54950?\nAnswer: 219800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-148))\/((-24)\/(-32)). Let z = f + 88\/259. Let v(n) = 2*n - 4. Let k be v(4). Which is the nearest to z? (a) -2 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 834 and 417?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -3*b**2 - 1\/45*b**6 - 5\/36*b**4 + 4\/45*b**5 + 0*b + 1\/9*b**3 + 0. Determine m, given that l(m) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 29. What is the remainder when 34 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 - 119. Is 16504\/(a + -16)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.7 + -0.7. Let z = t - -7.40000086. Round z to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9172*d - 943*d + 394992 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26986234.\nAnswer: 2, 11, 313, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/5 (b) 2\/435 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c - 3*c + c - 10*c**3 + 23*c**3 to the form y*c**2 + a + h*c + d*c**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 191033337*m + 604425086?\nAnswer: 191033337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 1. Is 6 a factor of (-2)\/7 + 256\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303.3 - -303. Sort 0.2, 0.4, i in ascending order.\nAnswer: i, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -2\/3*v**4 + 32\/15*v**5 - 7\/9*v**6 + 0*v**2 - 12 + 0*v + 0*v**3. Factor a(t).\nAnswer: -2*t**3*(t - 2)*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2 + 1 + 2 + 4*p. Let q be w(2). Suppose 0 = -4*l + 2*i - 10, -4*l + 2*i = i + q. Let o(h) = -h**3 - 4*h**2 - 4*h - 2. Give o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 20 = d. Solve 26 = -4*v - 4*h + 6*h, -11 = d*v + 3*h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 520 - 302. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - b = -5*b + 6, 0 = 5*m + 5*b - 15. Let g be m\/24*(1\/1 + 7). Suppose 4*o = -4*d + 19 - 3, 5*o = 0. Solve d = -3*f + g*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + -7*57\/(-266). Factor -5\/2*z**3 - 25\/2*z**2 - 15\/2 - s*z.\nAnswer: -5*(z + 1)**2*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282118879 to the nearest integer?\nAnswer: 16796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 - 10*m + 44. Calculate d(4).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/9 (c) -1 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29700 and 600.\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/19806 or 0?\nAnswer: -43\/19806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16112152?\nAnswer: 2, 7, 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 52459, 2 in descending order.\nAnswer: 52459, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 3*o**3 - 2*o**3)*(9*o + 0 + 0)*(-2 + 5 - 1)*(-3*o + 3*o + 3*o).\nAnswer: -162*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/8)\/(-1 + -5). Let z = -158.9 - -174. Let s = z - 15. What is the nearest to s in -2, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42273*k**6 + 157*k**2 + 16*k - 2.\nAnswer: -5072760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 + 2*p + 6. Determine t(8).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h. Let c be y(1). Suppose -13 + 35 = c*f. Suppose 0 = -25*u + 58*u - 66. Calculate the lowest common multiple of u and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 8937?\nAnswer: 8937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000228 to the power of 1\/2, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33750*s - 33800*s + 67548*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6780997306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (2 + -2 - 3). Is -8 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46*2\/(-2 + 6). Let h = -3679\/4 - -897. Let i = l + h. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -3, 0, 6, -5, -1 in ascending order.\nAnswer: -32, -5, -3, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 2*b = -4*q - 8, 2*b - 4 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/12 - 2*b. Let k(i) be the third derivative of -83*i**5\/30 - 822*i**2 - 8*i. Give t(k(d)).\nAnswer: 27556*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - l**3 - 2*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -42, -106, -188, -294, -430, -602, -816?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 155 + -163 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223070068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154140227?\nAnswer: 23, 6701749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 24*r - 8. Let g be a(-25). Calculate the common denominator of -29\/8 and (g\/(-816))\/(-1 + (-59)\/(-58)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeggzeeeefzgczo. What is prob of sequence eze?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q. Let x be 121 + -4 + q + -1. Suppose 136 = 7*j - x. Calculate the remainder when 69 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 8. Let z = -2 - n. Factor -45\/4*w**4 - w**z + 0 + 0*w - 6*w**3 - 25\/4*w**5.\nAnswer: -w**2*(w + 1)*(5*w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 12, -21*d + 21 = l - 22*d. Suppose -34*h + 15 = -29*h - 3*y, -l = 3*h + 5*y. Let b(g) = g**3 + g**2 + g + 2. Calculate b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*3.6\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 52 = -4*x, 5*x + 2*t - 41 = 3*t. Let h = x + 15. Let r = 8 + h. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163038 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -0.3 (b) -0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 - q - 2. Let o be r(3). Let b be (-2)\/o + 5\/(-2). List the prime factors of 2 + 2 + 6\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49887595, 199550379, 448988353, 798201517?\nAnswer: 1247189871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10983 (base 11) in base 16?\nAnswer: -3dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 = 5. Suppose u = 2*t - 6 - 4, 2 = -2*t - b*u. What is the highest common factor of 27 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = -20*u - 17*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 2*u)*(3*u**4 - 3*u**4 + u**4 + 54*u**4 - 162*u**4 - 105*u**4 - 4 + (-5*u + u + 2*u)*(-u + 2*u**3 + u)).\nAnswer: -216*u**5 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 11 + 5*b**2 + 11 - b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 934387730, 934387729, 934387726, 934387721, 934387714, 934387705?\n\"Answer: -y**2 + 2*y + 934387729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(2 - (-1)\/(-3)). Suppose -16 = n - a*n. Let x be n - (0 - 10\/(-5)). Solve x*k + b = 10, -2*b + 31 - 6 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19853 = -13*d + 1214 + 2710. What are the prime factors of d?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257697993 or -257697994?\nAnswer: -257697994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6567, 25363, 56665, 100473, 156787?\nAnswer: 225607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8835)\/29450*(-1 - 219)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19, -105\/2, 3, 92\/13, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-45))\/((-8)\/(-20))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l - 182. Let b be t(16). Solve 2*c + 5*g = b, 0 = c - 5*g + 7 + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.755 + -0.245. Which is bigger: -343 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2277 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3876 and 7992008.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74336 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times -330467?\nAnswer: 9914010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 148*l. Let p(n) = -16*n. Let w(k) = h(k) + 8*p(k). Let x(b) = 17*b + 1. Give x(w(y)).\nAnswer: 340*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 117 = -28*c. Solve c*w - 2 = 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493074, 493076, 493078?\nAnswer: 493080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-385)\/(-25) - (-203)\/(-145). Solve -229 = -l*h - 313 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 3. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/990 and 137\/10476.\nAnswer: 576180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uelg when four letters picked without replacement from lllluggenelnlllzll.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, 4, 65, 1.\nAnswer: -5, -4, 1, 3, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/8)\/9*(-192)\/(-13392)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1050 - -1068. Let h(v) = 2*v**3 - 3*v**2 + 2*v + 2. Let i be h(2). Suppose 2 - i = -4*q. What is the smallest common multiple of q and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsikihh. Give prob of sequence ksi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 0*i**5 + 2*i**5 + (0 + 5 - 3)*(0*i**3 + 0*i**3 - 2*i**5) + 52*i**2 + 24*i**5 - 52*i**2 + (-1 - 1 + 1)*(-2*i + 2*i - 3*i**5).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/60 and 19\/874896.\nAnswer: 4374480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2933 by 125.\nAnswer: -2933\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**(-2\/11)*o)*o)\/o**6)\/(o*o**(-30)*o*o\/(((o\/(o\/o**(-33))*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -159*k + 17. Let o(x) = -5*x - 4. Determine o(l(d)).\nAnswer: 795*d - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3)**(-3\/19)\/((c*c**12*c)\/c**(-6)))**(-22) assuming c is positive.\nAnswer: c**(8558\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 4*t**2 - 5*t + 2. Let a be b(-5). Find the third derivative of 22*l**4 - 5*l**a + 20*l**4 - 36*l**4 wrt l.\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4792 less than 3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425426?\nAnswer: 2, 37, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -312 + 10.9\nAnswer: -301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3 + 26\/18 - (-414)\/(-3726)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -4. Let q = -57 + 70. Calculate the remainder when 8526\/182 + ((-6)\/q)\/(-3) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, k: 7, s: 1, e: 2}. Give prob of sequence dkke.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48938162*j + 42586615 with respect to j.\nAnswer: -48938162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -ab345 (base 14) to base 2\nAnswer: -1100101010100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28791?\nAnswer: 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16106572583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (9 + -10) - 2) + -11 + 24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-9)*-4*6\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**14\/(p*p*p*p**(-10\/3)*p*p*p*p) assuming p is positive.\nAnswer: p**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 6 - 19 + 286*v + 8 as t + s*v and give s.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088798 rounded to seven decimal places?\nAnswer: -0.0000888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 12:04 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302581387 to the power of 1\/3, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0\/4 - 1) + -3)\/(-1). Suppose -4*s - 4*x = 12, 2 = -u*s + 2*x - 4*x. Find f such that 3\/4*f**4 - 1\/4*f**5 + 0 - 3\/4*f**3 + 1\/4*f**s + 0*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2310851 - 0.23317. What is n rounded to five decimal places?\nAnswer: -0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -93, -189, -313, -459?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 10*q**2 - 18*q - 22. Calculate i(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 y when three letters picked without replacement from dndndddgodondggdzyd.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/1903165 and -17\/271287520.\nAnswer: 2984162720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 103*m**3 + 2*m**2 + 2 - 5 + m - 104*m**3. Determine i(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*c**5*f**2 - 9*c**3*f**2 + 2*c**2 + 6*c*f + 32*f**2 wrt c.\nAnswer: -440*c**3*f**2 - 54*c*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 40.74. Let d = -0.26 + f. Is -13 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*x = -827*x - 154*x + 20786 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 23*q**2 + 55*q + 127. Let t be o(-25). Solve 0 = -5*z - t*x - 7, 2*z - 2 = 3*x - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t - 22*t = 248. Let i = 7 - 1. Let o(v) = -v**3 + 9*v**2 - 6*v. Let p be o(i). Calculate the greatest common factor of t and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228475?\nAnswer: 5, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 20 = 85*q, 0 = -3*q + 1994*v - 1993*v - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -972 divided by -12\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 40, 88, 162, 268, 412?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = -5*x, 2*y + 4*x = -5 - 1. Suppose -y*a - 3*d = -d - 4, -a + d = -8. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 51.4. Let z = -15.6 + n. Which is the nearest to z? (a) 0.4 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**6 + 175*q**5 - q**3*w + 108*q**2*w - 3*q*w + w wrt q.\nAnswer: -480*q**3 + 10500*q**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13886)\/(-8))\/(2\/8). Let o = -7111 + 2947. Let f = o + s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3957660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 3:59 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 + 10065*f**2 - 510603*f + 500535 = 0. Calculate f.\nAnswer: -3405, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 13. Solve i*b + 3 + 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 6:31 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 46. Let x(a) = a**2 - 8*a - 9. Give x(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 + -1263. Let w = 1813 + c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297350 and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606506 is divided by 1245.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 71?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*o + 59*o - 79 = 54*o. Suppose 3*k + 15 = 228. What is the greatest common divisor of k and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwwg when four letters picked without replacement from wkgwss?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 - 153*t**2\/2 - 2025*t\/2 - 1875\/2.\nAnswer: -3*(t + 1)*(t + 25)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85 and -0.1.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 7*f**2 - f + 41. Give n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 8*l + 6. Suppose 0 = g + 2 - 1. Let u be (-13 + g)*8\/16. Let q be k(u). Calculate the greatest common divisor of 39 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 14. Suppose 2*u = -g*w + 20, -3*w + 5*u + 4 = -2. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 4*q - 3*q)*(7 - 8 + 14)*(11*q - 4*q + q + (0 + 2*q + 0)*(3 + 3 - 5)) to the form y*q**2 + d*q + p and give y.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.4, -1\/104, -239 in ascending order.\nAnswer: -239, -1\/104, 18.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 276\/27 + (-30)\/135. Suppose -f*b + 92930 = -0*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 91 + 5821*p - 5820*p to x*p + j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -971.8.\nAnswer: 19.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(660)\/(-1*sqrt(768)))\/(sqrt(704) + sqrt(704) + ((sqrt(704) - (sqrt(704) + sqrt(704)*-2))*-5 - sqrt(704)) + sqrt(704) + sqrt(704)).\nAnswer: sqrt(5)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*3 - 1843\/171 and 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/210*-5 - 2\/4. Which is smaller: 6\/107 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 360995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h - 3. Let v be w(-7). What is the common denominator of (-4)\/(-10) + 926\/(-40) and v*(0 - 1\/12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Differentiate -3*c**2 + l + 3*c**2 - c**4 - 6 with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p - 4. Let z be (p - (2 - 4))*-1. Suppose 20 = l + f - 4*f, z = 2*l - 2*f - 24. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12824885*t + 13819114.\nAnswer: 12824885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 - 10*g**2 - 197*g + 5. Let y(o) = -3*o**3 - 4*o**2 - 98*o + 2. Give 2*r(f) - 5*y(f).\nAnswer: f**3 + 96*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 8. Let t(y) = y. Let o be t(g). Solve -o = 4*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 10523?\nAnswer: 10533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 3*f + 3. Let z be d(2). Let s be (-1376)\/1032 - 46\/(-3). Suppose -s*l = -z*l + 35. Solve 0*o - o - l = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:00 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1 - 135*k**2 + 2*k + 125*k**2 + 0*k. What is f(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/(2560\/(-144)))\/(-54))\/(((-2)\/8)\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476 and 82586?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -17*z - 15. Let v be q(-5). Calculate the greatest common divisor of 42 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2889.8 - 2891.8. Let y = -18\/319 + -1\/29. Which is the third smallest value? (a) u (b) -3\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 24568*k - 196201. What is c(8)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 8:44 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**2\/2 + 12*c - 13. Let i be u(5). Suppose 7*n - i = 88. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 + (-2 - (2 - 2)) is divided by (352\/(-66))\/(-16) - (-110)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**4 - 45*h**3 + 17*h - 1608247 wrt h?\nAnswer: 24*h**3 - 135*h**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyl when three letters picked without replacement from {f: 1, n: 1, l: 6, u: 1, y: 1, j: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -376, -391, -422, -475, -556, -671?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2633 + 4058. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -62*t**3 + 5*t**2 + 5. Let c(g) = 31*g**3 - 2*g**2 - 2. Let o(d) = -100*d - 498. Let b be o(-5). Give b*y(k) + 5*c(k).\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3647039\/196 + -18607. Calculate the common denominator of s and 13\/238.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 4 - (-3 + -6)) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1618.23us?\nAnswer: 1.61823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 8, 0.16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 33643758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 9*o - 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209631251?\nAnswer: 2209631251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 383.0491+-0.22599\nAnswer: 382.82311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79774666 - 2073657945\/26. Let x = r - 18589. What is the common denominator of x and 46\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z - 26364 - 95858 = 0. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2734914720 and 23\/14?\nAnswer: 19144403040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i + 1. Let k(p) = 1098500*p**3 + 354904*p**2 + 38216*p + 1368. Let l(r) = -k(r) - 4*x(r). Let l(m) = 0. Calculate m.\nAnswer: -7\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/240*9\/((-72)\/8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.1 + -70.9. Let j = 73.46666 + 9.53669. Let r = u + j. Round r to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 11*w - 2. Let z be c(-4). Let q = z - -100. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c*r*s - c*r - 427*c*s - 5*r*s - 175*r - 13569*s - 2 wrt r?\nAnswer: 5*c*s - c - 5*s - 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1545)\/20 + (-2)\/(-8). Let x = 6\/199 - -9305\/1592. What is the common denominator of (p\/24)\/(1\/3) and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459522 and 252?\nAnswer: 919044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0115786 - -22756630.\nAnswer: 22756630.0115786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3955 divided by -791?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = a + 15, 0 = -5*m - 15. Solve a = -3*v + 2*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2)*(-2 + 0). Let h = 3 + t. Let c(m) = -m**3 + 3. Let p(b) = -b**3 + b**2 + 5. Let f(j) = -5*c(j) + 3*p(j). Determine f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -4, 1\/55, 13\/3, -6, 3\/8?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -24000*d + 16100. Let b(h) = -103*h + 69. Let w(t) = -700*b(t) + 3*c(t). Let k(g) = -4*g + 5. Calculate k(w(u)).\nAnswer: -400*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*x + 5*b, -x = -2*b - 9744 + 9730 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 3\/(-15)*-7. Let k be (-1 - -22)\/3 - 3. Suppose m + 3*m - k = 0. Is u != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000160595539 to seven dps.\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6764105.\nAnswer: 5, 29, 46649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23*((-3)\/(-15) - 0). Let f = k - 5. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/1010 - 11363\/505. Let b = y + 23. Find u such that 3\/2*u + b*u**3 + 1\/2 + 3\/2*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-142))\/((4\/40)\/(117\/(-585))).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 270*g + 11231. What is the ten thousands digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z. Let b(g) = 2*g**2 - 10*g - 43. Let i be b(-3). Let a(n) = 2*n**2 - 7*n**2 + 12*n**2 + n**2 - i*n**2. Calculate a(x(c)).\nAnswer: 243*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(15) - sqrt(60)\/sqrt(4)))\/(sqrt(18)\/(sqrt(6) + sqrt(6)*3)) + 2*(sqrt(605) - sqrt(605)*2)**2 + 1.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, x: 1, s: 1}. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410800 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401409 is divided by 1457.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from ftput?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + 4 + sqrt(13) + (sqrt(208) - 2*sqrt(208)) + sqrt(208).\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o. Let f(s) be the third derivative of s**6\/120 - 6*s**3 - 8*s**2 - 3. Let q(l) be the first derivative of f(l). Calculate r(q(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*g + 19366 = -3482, 2*q - 15220 = -5*g. What are the prime factors of q?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 162207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11104287 (base 9) in base 4?\nAnswer: 110200221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/40 and -33\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 42*r**3 - 3*r**2 + 4*r. Let z(s) = -s**3 - 12*s**2 - s - 10. Let f be z(-12). What is the tens digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634984 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 18*m - 3*h = 18, 3*h = -24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58564 or -58578?\nAnswer: -58564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p - 9. Suppose -p*r = n - 109, -13 - 116 = -n + 2*r. Calculate the highest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*b + 364 = 0, 233 = -3*i + 5*b - 323. Calculate the smallest common multiple of 2 and (i\/168)\/(((-2)\/(-7))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 12*i = -13*i - 28, -3*g = -i + 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -18*g. Let l(q) be the second derivative of q**4\/12 - 563*q - 2. Determine l(t(p)).\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/180*3)*(-14)\/56*10?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = f + 3*v, 2*f - 133 - 29 = -4*v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133123 is divided by 677?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4778 - 2348 = 162*p. Let l = -5 + 35. Calculate the least common multiple of l and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 2*y**2 + y - 4. Let x be a(0). Let s(g) = g**3 + g**2 - g - 3. Let j be s(0). What is the least common multiple of (-66)\/(-4)*x\/j and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -49999*b + 8. Suppose 30 = -5*m - 0. Let a be j(m). Let h be a + -1 + 1 + -2. What is h rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emxcyom. What is prob of sequence om?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 23*b**2 - 20*b - 38. Calculate z(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -163*z**6\/40 + 220*z**3 - 8*z**2 - 14. Find the first derivative of g(m) wrt m.\nAnswer: -1467*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 1, -2, 12, 0 in decreasing order.\nAnswer: 39, 12, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 258 = -9*h. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + -34. Let i = -36 - s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/1)\/(-1 + 774\/762). Let i(s) = -s + j - 254. Let n(l) = 21*l + 7. Let o(y) = -10*y - 3. Let q(h) = -6*n(h) - 14*o(h). Give q(i(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-27) + (-64)\/360.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0199022 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 20.00000008. Round k to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000062761 to six decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -10810509?\nAnswer: 1081050b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2356\/7 - -336. Let t = -100 - -1302\/13. Sort 4, q, t.\nAnswer: q, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377)*-2 + 4)**2 + (1*sqrt(5100))\/sqrt(3) + -4.\nAnswer: -62*sqrt(17) + 1389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 64 = 7*c. What is the greatest common factor of c and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w + 14*w - 72 - 20*w + (w + 3*w - 3*w)*(2 - 4 + 0) - 3 + 2*w - 4*w - 3*w.\nAnswer: -6*w - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1201?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 8*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215865472?\nAnswer: 2, 191, 199, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1075)\/32895)\/((-30)\/36).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 26 + 13*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -602 - -2144. List the prime factors of a.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*b - 12 = 3, 0 = 4*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 13845195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 1. Let s be (0 + 0)\/(-4 - c). Let j be (1\/(-5))\/(4\/25). Is j less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/147 and (228\/1254 - 2144\/(-66))\/(-24).\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 62*k - 26*k - 2 - 29*k. Let w = 2 - 3. Let c(o) = o. Let s be 4\/14 + (-40)\/(-7). What is s*c(u) + w*j(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 3*v + 4*v)*(2 - 2 - 3*v)*(18 + 59 - 12) in the form u*v**2 + i + y*v and give u.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -819684.\nAnswer: 13\/819684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 13*p - 92. What is u(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -784 - -784. Let t(j) be the third derivative of 0*j**3 + 0 - 7*j**2 + 1\/60*j**5 - 1\/15*j**6 + l*j**4 + 0*j. Find the third derivative of t(f) wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**10\/37800 + u**8\/2520 - u**6\/180 + 11*u**5\/30 + 3*u**2. Let g(l) be the third derivative of i(l). What is r in g(r) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 316, 1, 4 in ascending order.\nAnswer: 1, 4, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddhhhhdwh. What is prob of sequence whhh?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*r**3 + 361*r**3 - 4*r + 368*r**3 + 355*r**3 - 1435*r**3.\nAnswer: -2*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 193\/20319?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.706752 milligrams to tonnes.\nAnswer: 0.000000008706752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432) + 2)**2.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0, -0.5, 0.236?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let k(b) = -b**3 - 7*b**2 - 5. Let s be k(-7). Let i be x(s). Let z be 14\/6 - (-2)\/i. Solve l = 2*l + z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = 2*z, 0 = -r + 4*z - 5 + 1. Solve -r*w + 3*h - 10 = 0, -3*w = 2*h + 3*h - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2299 - 2208 - (100 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*(-2)\/((-2)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.786499.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q*u*y + 2*q - 106*u*y - 13*u + 4 wrt y?\nAnswer: q*u - 106*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4726, 4785, 4792, 4747?\n\"Answer: -26*w**2 + 137*w + 4615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/20 + 5*v**4\/4 + 2*v**3 - 14*v**2 + 39*v. Let d be s(-14). Solve 0 = p - d*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24849 and 1683.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**2 - 583*q - q**3 + 583*q + 3*q**3.\nAnswer: 2*q**3 + 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-34)\/(-30)) + (-3934)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -9, -1\/2, -2\/63, 35, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6207+2915\nAnswer: -3292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 23.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110132030212 (base 4) in base 10?\nAnswer: 5366566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-1 - 3\/(99\/(-176))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d + 3*d**2 + 0 + 1\/20*d**5 - 1\/3*d**4 - 5\/6*d**3. Calculate the least common multiple of t(5) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*-1*(-90)\/25. Let f = h - -76. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {u: 3, y: 1, v: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 2 + (26 - 5 - 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26214723?\nAnswer: 3, 487, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-252)*12*224\/(-48).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcc when three letters picked without replacement from ccmmcccgcc.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1188 and 3996.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (-33)\/22 - (-34)\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-4)*-29*20\/(-1015)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 989\/(-69) - (-24 + 10). Which is the closest to 0.07? (a) -4 (b) n (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39618296 and 499072?\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1526202 times -0.066\nAnswer: -100729.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 + n. Let z be x(-1). Suppose 10*g = z*g + 3530. Let f(m) = g + m**2 - 706. Let v(s) = 10*s. What is v(f(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 228806387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 0.05, 0, 5601939?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 0*s**2 - s**2 + (4*s - s - 4*s)*(-s + 2*s - 2*s) + 2*s**2 - s**2 + 0*s**2 - 3 + 2 - 2*s**2 + s**2.\nAnswer: -3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -27, -24, -21?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -3, -37, -117, -261, -487, -813, -1257?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d - 127*d - 23*d)*(1 - 1 + 1)*(0*d - 2*d + d - 8*d**4).\nAnswer: 1344*d**5 + 168*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (1 - 24) + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2438676*y**2 - 2*y + 2429436.\nAnswer: 4877352*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((4 - (0 + 15)) + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 4577379.\nAnswer: 22886895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51771?\nAnswer: 3, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5530302 divided by 2179.\nAnswer: -2538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -75. What is y in 0 - y**3 + 0*y**s + 0*y + 7\/2*y**4 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*j + 202*p - 206*p, 6*j - 4*p - 108 = -2*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3728 is divided by 3690?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1.9 (c) 1\/3 (d) -1.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1815684 divided by -151307\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -2374 and -2374 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 409*w\/4.\nAnswer: w*(w - 409)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 20*l**5 - 32*l**4 + 4*l**3 + 8*l**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l + 6*l + 326365 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10490 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*d = -35, -44665*d + 44667*d = 3*c - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3*i**2 - 20*i - 17. Suppose -5*m + 13 = -3*v, -v = 2*v - 3*m + 15. Let y be t(v). Put 2, y, 0 in increasing order.\nAnswer: y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4714021 to 4 dps.\nAnswer: -0.4714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500 - -530. Suppose 24*g + y = 150. What is s in -4*s**3 - 8\/7*s**4 + 0*s + 8\/7*s**2 + 0 + 4*s**g = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 16*w + 2\/3*w**3 + 0*w**4 + 0*w**2 - 1\/10*w**5 + 0. What is the second derivative of m(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) + sqrt(45)) + (sqrt(567)*2)**2.\nAnswer: sqrt(7)\/4 + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2566 - -12883\/5. Is 12 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1*75\/6. Let x be (-2 - -8)\/(0 + 1). Let l = -24 - -54. Solve -4*p = 5*n + l, 3*p + x*n + y = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15840, -31949, -48326, -64971, -81884?\n\"Answer: -134*r**2 - 15707*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*(sqrt(121)*1 - sqrt(121) - sqrt(121)))\/((sqrt(66)*-3)\/sqrt(6)))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v**3 - 3120*v - 3116*v - 3118*v + 9354*v.\nAnswer: 31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 6. Suppose 2*r = 5*r - d. Let p(x) = 2*x**2 + 4*x**r - 2*x**2. Determine p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4\/8 - h**2\/2 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7885364694 and 0.5?\nAnswer: 7885364694.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8601728 is divided by 173.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/8*(-24)\/45. Suppose -3*o = -0*o + 408. Let d = -678\/5 - o. What is the closest to i in 1, -3\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11024.0024817 from 4.\nAnswer: 11028.0024817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183839875 and 4665.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q**2 - 6*q - 1. Let a(v) = -v**2 - v. Let l be (16\/(-18)*(-36)\/(-40))\/(2\/15). Calculate l*a(j) + r(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, i: 2, y: 2}. What is prob of picking 1 i and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k - 14 + 196. Suppose 0 = 3*f - k*f + 800. What is the least common multiple of 8 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 1}. Give prob of sequence uv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 531240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 34*j = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 141 = -3*s, x = -2 - 1. Let i = -21 + s. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 + 2*d + 2. Calculate the smallest common multiple of (3 - 1) + (-12)\/(-4) and f(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -288 - (-47 + -108) - -197?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i**2. Let y(o) = -3*o**2. Give s(y(w)).\nAnswer: 135*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2529 - 0.1529. Let o = 7\/2 - 4. Which is the nearest to w? (a) o (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3128114771 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 26*r**2 + 13*r - 13. Let z be b(12). Let p = 147 + z. Solve -3*v = 5*a - 27, -5*a + 1 = -p*v - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39565, -5, 0, 5, 4.\nAnswer: -5, 0, 4, 5, 39565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(11))**2*-1.\nAnswer: -23 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/66*-8 + (-99)\/(-297). Is 1 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-292)\/(-18) + (-6)\/27. Solve -5*z = -9*z - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2\/5 + 1650880*b + 66034944\/5 = 0.\nAnswer: -2063592, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) -0.1 (c) -1 (d) -0.01 (e) 2.5 (f) -678\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -51 + (-1 - -4) - 0. Let b = -30 - x. What is the smallest common multiple of 6 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 15, -1, -5, 13\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81600755 minus 34.81?\nAnswer: 81600720.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(-7)\/4*10\/(-35). Let j be (8 - -2)\/(3 + -5). Put -13, t, -2, j in decreasing order.\nAnswer: -2, t, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*r - 4, -k - 2*k - 4*r = -12. Suppose k*m + 3*g = 1310, 2*g - 10 = 7*g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 46*d + 185. Let o be t(-50). Which is greater: -0.12 or o?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 + 3*v. Let i be x(-2). Suppose 4*g = -5*b + i, g - 2 = b - 0*b. Solve -2*z + 4*y = -6*z - 4, -g*y + 6 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 120*g + 2264. What are the prime factors of o(89)?\nAnswer: 2, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*j**2 - 57*j**2 - 56*j**2 - 2940*j**3 - 59*j**2 - 1566*j wrt j?\nAnswer: -17640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 17*c - 5*c**2 - 2 + 62*c - 53 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -23.6. Suppose -2*d = -4*d + 4*t + 8, -5*d + 20 = 3*t. Which is the nearest to -0.1? (a) d (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 43*x**2 - 616*x + 2940.\nAnswer: -(x - 15)*(x - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-22 + 102 - 91)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 d when three letters picked without replacement from {d: 5, l: 1, m: 3, n: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 823251879 a multiple of 2173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 6, -1\/6, 7.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3 + y**3 + 4 - y + 3*y**2 - 3. Let z be f(-3). Suppose -k + 4 = z. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 - 48*z + 13*z + 16*z + 537 + 9*z.\nAnswer: -10*z + 803","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25281+1.1774664\nAnswer: -25279.8225336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762 = -17*l + 405 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.79 + 8.02. Let i = k - -0.97. Let o = i - 3.4. What is o rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -11*v + 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)*h**(-31))\/(h\/(h*h*h\/(h\/h**15*h*h))*((h\/(h*h\/((h*h**(-5\/6))\/h)))\/h)\/h*h))**(-4\/25) assuming h is positive.\nAnswer: h**(2234\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 505 - 505.5. Which is the nearest to 1\/4? (a) -4 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9 = 5*i. Suppose 0*v = i*v - 12. Solve -7 = -2*k + l, -2*k + 16 = -0*k - v*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4268*p + 2. Determine w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*h + 47, 5*h - 50 - 19 = -4*b. Let s = h - 7. Suppose s*q = 9*q - 36. Calculate the greatest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 100*c**2 + 96*c - 1080. Is s(100) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 180*m - 178*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*h + 192, 2*z - h + 0*h - 184 = 0. What is the remainder when z is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 + 32*t**4\/3 + 40*t**3\/3 - 20*t**2\/3 - 46*t\/3 - 4 = 0. What is t?\nAnswer: -3, -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43296 and 72?\nAnswer: 129888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127599 + 7534. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b**2 - b - 1 + b)*(2*b - 6*b + 0*b)*(6*b**2 - 3*b**2 + 2*b**2).\nAnswer: 20*b**5 + 20*b**4 + 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4821 * 550\nAnswer: -265.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -12*(-2 + 7\/4) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 2*v**2 + v - 5. What is the remainder when c(3) is divided by 22\/(-121) + 334\/22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 5*x + 2. Suppose 2*z - 2*q + 10 = 0, q = -z + 3*q - 5. Let o be u(z). Suppose -n**o - 1 - n + 2*n + n = 0. What is n?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-88)\/56)\/(1 - 0)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from llhllllllllll?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5 and 1*76*24\/(-64).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -6165\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 33*b - 55. Determine s(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + -2 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -14, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/45*-3 + 2392\/65 + -19\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*g**5 - 25235*g**4\/2 - 3185*g**3 + 75745*g**2\/2 - 15770*g - 6310 = 0. What is g?\nAnswer: -2, -1\/4, 1, 1262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 452284655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 3. Let f be w(-10). Sort 3, 2, f in ascending order.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-26)\/b**(-1\/2))\/(b**(1\/30)\/(b\/(b\/(b*b**(2\/13)*b*b)))) assuming b is positive.\nAnswer: b**(-4364\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 3, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11127 at least as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5802, -11361, -16394, -20637, -23826, -25697, -25986?\nAnswer: -24429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i + 71. Let z(g) = 4*g - 72. Let m(a) = -3*y(a) - 4*z(a). Let p be m(-35). Solve -w + 5 = 0, 4*f - p*w + 2 = -3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13046.1 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 68*r + 68 + 239*r - 320*r. Calculate d(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = 3*h - 1, 0 = -h - 2*m + 9. Solve 4*w + 19 - h = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2706739 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38496 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - -7360.79?\nAnswer: 7266.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3368 = 5*p - c + 4*c, -p + 696 = -5*c. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d - 7. Let n be v(6). Let z be -4 + 245 + 4 - (3 - n). Suppose g - 5*u = z, 2*g - 451 = u - 5. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - f**2 - 3*f - 3. Let k(g) = 13*g**3 - 11*g - 20. Let o(a) = -6*a**3 + 5*a + 9. Let l(s) = 3*k(s) + 7*o(s). Give 3*l(c) + 2*v(c).\nAnswer: -3*c**3 - 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 330594 to the power of 1\/2, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3) - 29\/3. Let g be (-3)\/15*1\/l. Is 0 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3270 + -236?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -51*-8.03826\nAnswer: 409.95126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5490340*r - 24404235 wrt r.\nAnswer: 5490340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from ttjztzztttttztsz?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -2. Suppose 8*q = 11*q + 36. Let w be 1 + q*-4*3\/18. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/15 - 3872*v\/15 - 1874048\/15.\nAnswer: -2*(v + 968)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*t - 0*t + 12, 14 = -i + 5*t. Suppose -y + 3 + i = 0. Suppose y*x - 19 = -3. Solve -x*n - 10 - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v - 20 - 9*v - 21*v + 39 - 15.\nAnswer: -49*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*v + 9*s - 47, -1092*v - 4*s = -1094*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 1 + 4. Let l be (-2 - -1)\/(f\/(-2)). Let m = -163\/2 - -81. Sort m, l, 2 in ascending order.\nAnswer: l, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 6*m - 3 = 0, 88*c - 89*c - m = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -256*(2 - 5) - 1. Let s = j - 377. Calculate the highest common divisor of 30 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - h**2 - 3 + 4*h**3 + 10*h**2 wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/444 and -43\/33.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179652?\nAnswer: 2, 3, 11, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4 + 15 - 11 - 81*h + 80*h. Let l(t) = 6425*t. Determine l(x(d)).\nAnswer: -6425*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {m: 6, t: 3, n: 5, i: 1, f: 2, a: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30\/11? (a) -0.05 (b) 1 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*h = 2*r - 29, 4*h - 14 = 2*r. Let c(a) = -20*a + 4. Let n be c(r). Is 6\/(-14) - 4448\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 7*a - 19. Let s(n) = -5*n + 20. What is 3*m(j) + 4*s(j)?\nAnswer: -9*j**2 + j + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21449323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 16*g**3 + 23*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 5 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdde when four letters picked without replacement from deedccdc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 1\/28*u**4 + 0*u + 1\/21*u**3 + 0 - 1\/140*u**6 - 12*u**2 - 1\/210*u**5. Let j(n) = 0. Calculate n.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2\/4 + 101769*h\/2 = 0.\nAnswer: -67846, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 77 + 94 - 328 - 20*u**2 + 82 - 124*u**2.\nAnswer: -144*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76 + 2 - 0\/6. Suppose -j = -o + 12. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcx when three letters picked without replacement from {c: 2, x: 10, u: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 1278*a**2 - 120300*a + 2945000.\nAnswer: -(a - 1178)*(a - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 1079 + 47. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13731833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (-28 - -26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*r - 3*r, 0 = n - 3. Factor 0*t + 2*t**2 - 8\/3 - 2\/3*t**r.\nAnswer: -2*(t - 2)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3992535 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4. Let q(a) = a + 7. Let o(s) = 5*m(s) - 3*q(s). Let z be o(1). What is the units digit of (13 - z)*(0 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*(-u + 3*u - 3*u**2 + 0*u).\nAnswer: -6*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 7, m: 1, e: 5, u: 5}. What is prob of sequence ieme?\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/2 - -5 - 429\/(-6). Let f = c + -24. What is the remainder when f is divided by -1*2 - (0 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 165?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 425 - 530 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1306 - -1309. Suppose -x = -5*y + 243, 5*y - 255 = x + 4*x. What is the least common multiple of y and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 550 = 8*o. What is the highest common divisor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -101*j + 4909. Solve 0 = j*d - 54*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3*(-3 + 1). Let s = -35 + -8. Let f = -42.6 - s. Which is the biggest value? (a) d (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2*(-96)\/(-144) - 50)\/1 + 7?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101010111010100100 (base 2) in base 8?\nAnswer: 6527244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvyyyyygygyggvg. Give prob of picking 3 y.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 1500166*g\/9 - 44010032\/3.\nAnswer: 2*(g - 88)*(g + 750171)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, f: 2, e: 4}. Give prob of sequence af.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/60595 bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -267, -316, -391, -504, -667, -892, -1191, -1576?\n\"Answer: -2*b**3 - b**2 - 32*b - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -66a548?\nAnswer: -66a548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 10*l**2 + 12*l - 5. Suppose -4*f + f = -5*m - 35, 7 = -f - 3*m. Let i = f + 6. Let b be s(i). Solve 4*y - 10 = -4*g + b, 1 = g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42729.\nAnswer: 3, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5420 and 8130?\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.79 (c) 2\/13 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6774 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 63156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 981, 910, 877, 888, 949, 1066, 1245?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 - 9\/2*m**2 - 11*m - 17\/6*m**3. Is 14 a factor of j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23939 divided by -96.\nAnswer: 23939\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.036? (a) -1\/2 (b) -1\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(250))**2*5.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*b - 4670 = -222, 0 = -h - 3*b - 1108. Let n be (27\/(-4))\/((-5)\/(-460)). Let w = h - n. What is w rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -38?\nAnswer: -17\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9779, -36074, -79907, -141278, -220187, -316634, -430619?\nAnswer: -562142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4756346 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 354911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 11*a**2 - 9. Let m be w(-11). Let o = -5 - m. Solve -o*i - 1 = t, -2*t - t + 5 = 4*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185\/3, 1\/5, 2\/3, 5, -4.\nAnswer: -185\/3, -4, 1\/5, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.7, 139, 4 in ascending order.\nAnswer: -0.7, 0.2, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60114856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {p: 1, m: 2, o: 2, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -460*b**2 - 55*b + 55. Let j(y) = 17*y**2 + 2*y - 2. Let c(q) = -55*j(q) - 2*l(q). Let p(f) = 331*f**2 + 331*f**2 - 659*f**2. What is c(p(u))?\nAnswer: -135*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + -3*sqrt(11) + sqrt(33)\/(-5*sqrt(3))).\nAnswer: -96*sqrt(11)\/5 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 13*x - 5. Let c be d(6). Let y be (-3 + (-76)\/(-28))\/(c\/(-14)). Is (-1595)\/(-58) + (-6)\/y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 314, -5, -6, 5 in decreasing order.\nAnswer: 314, 5, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqs when three letters picked without replacement from {y: 7, s: 3, q: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/61 + -166\/671. Let n = 12680 - 12679.7. Which is the biggest value? (a) n (b) -0.5 (c) j (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a - 1260 - 389 = 67*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2. Let l(f) = 522128314*f + 2. Give l(k(d)).\nAnswer: -1044256628*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - g**3 - 2*g**2 + 0*g**2 - 6*g**3 + 3*g**3 + g**3 + (6*g**2 - 2*g**2 - 3*g**2)*(3 - g - 3).\nAnswer: -4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43762422 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -121, -228 in decreasing order.\nAnswer: 0, -121, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5 + 1 = 0. Suppose -y*d = 4*j - 2, 5*j + 3*d = 2 + 2. Suppose j*h = h. Solve 3*s - 4*c + 13 = h, 3 = 2*s + 4*c + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6722*d**3 + 3061*d**3 + 3285*d**3 + 3*d**2 in the form u*d**3 + l*d**2 + w*d + z and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u. Let g(n) = -1731*n**2 - n. Calculate g(w(h)).\nAnswer: -249264*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33269670 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 3:11 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 716, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*i - 23, 0*q = 2*q + i + 64. Let x = -26 - q. Is 5 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:09 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j + 5*j + j)*(4 - 2*j**2 - 4) - 8*j**3 - j**2 + 19 + 6*j**3 - 68 to m*j + k*j**2 + u*j**3 + n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 533310646 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:29 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/(-47)*(-3)\/(-1)*(-10)\/3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b + 9. Let l(n) = 7*n - 8. Let q(i) = -5*l(i) - 4*s(i). Give q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 594075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 59 + 51 = 0. Let l = -11 + 6. Let x = l - y. Calculate the lowest common multiple of x and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t**2 + 13*t + 10. Let l(c) = -9*c**2 - 12*c - 11. Let u(w) = 6*k(w) + 5*l(w). Is u(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a + (a - 2*a + 0*a)*(-3 + 2 - 1) - 2 + 1 - a - a)*(3 - 4 + 0).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 487835 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1)\/(-2) - (-7)\/(-2). Let a = -3 + 4. Is a - 1 - 30\/o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 103 - 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -107*t - 1. Let g be y(-1). Let q = -80 + g. Suppose -q*x = -21*x - 15. Solve 3*i - 6 = x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(24*q**3 - 19*q**4 + 16*q**4 - 43*q**3).\nAnswer: -3*q**4 - 19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 5:31 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -12*h + 20. Solve 5*x - k + 32 = 2*k, -4*x - 8 = h*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 8*y**2 + 5*y + 6. Let x be o(-6). What is the tens digit of 1\/(-1 - x\/93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q + 13 = -2*m, -3*m = 5*q - 78. Calculate the greatest common factor of 30 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9 + f + 5 + 2 - 4. Determine w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1037 or 1075?\nAnswer: 1075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659881699.\nAnswer: 3, 181, 544277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/14)*(f*f*f*f**(-2))\/f)\/(f*f\/(f*(f*f**12\/f)\/f*f)*f\/f**(2\/7)) assuming f is positive.\nAnswer: f**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 3*i + 3*i)*(3 - 2*i**2 - 3) + (2*i + 4*i - 5*i)*(258*i - 258*i + i**2) as b*i**3 + p + u*i**2 + r*i and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 508 - 510.79. Round v to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 809, 30465, 110965, 267731, 526185, 911749?\nAnswer: 1449845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335414 (base 7) to base 16.\nAnswer: -e89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*r = 5*r + 130, -3*t - 2*r + 170 = 0. Let k = 41 + t. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3 - -5))\/(8\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1069, 2\/9, 3885 in increasing order.\nAnswer: -1069, 2\/9, 3885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 258 + -256. Let q(i) be the third derivative of -1\/54*i**4 + i**v + 1\/27*i**3 + 1\/270*i**5 + 0*i + 0. Factor q(y).\nAnswer: 2*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4 - 45*i**3 - 252*i**2 - 624*i - 576 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1401*p**2 + 24*p + 214*p**2 - 24*p in the form f*p**2 + c*p + k and give f.\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 - 2)*(4*d**2 - 2*d**2 + 2*d**2).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 109, -7, -20.\nAnswer: -20, -7, 2, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 8*g**2 + 3*g - 17. Let w be l(-7). Let j = w + 96. Calculate the remainder when 10 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 11*l**2 + 72*l - 103. Determine x(-16).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 5*d + 4. Let m(t) be the third derivative of -t**5\/30 + 5*t**4\/12 + 4*t**3\/3 - 4*t**2 + 22*t. Let x(a) = -5*j(a) + 3*m(a). What is x(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98420 and 154660.\nAnswer: 1082620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-67536)\/(-9380))\/((-2)\/(-5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2234*u**2\/3 + 140738*u\/3 + 84.\nAnswer: -2*(u - 63)*(1117*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-3 - -2) - (-3 + -1). Solve 0 = t*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0, 1\/6, 0.3, -13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(486)*2 + sqrt(486))*-1.\nAnswer: -sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130323032 (base 4) in base 6?\nAnswer: 2312302","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24608 = -7*s - 24587. Let t(x) = 9*x**2 + 1. Let z be t(1). Solve 5*q + 3*v - z = 0, -4*q + s*v - 8*v = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Let z(d) = d - 1. Let f(m) = 32*m - 10. Let p = -167 - -166. Let h(i) = p*f(i) + 10*z(i). What is h(n(g))?\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 514 and 3504.\nAnswer: 900528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/4 - 29*x**3\/4 + 119*x**2\/4 - 139*x\/4 + 13 = 0.\nAnswer: -13, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - (-4 - -1)) + 0)*(-2912)\/(-64).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4673395 is divided by 934675.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 39. Let n(t) be the third derivative of t**5\/15 + 225*t**2. Determine h(n(f)).\nAnswer: 4*f**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-25)*(15295\/(-57))\/23?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 + 205. What is the closest to t in -0.1, 4, 4\/3, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)*2 + 5. Suppose 2*l - 9 = -t, l - 7 = -2*t - t. Suppose q - b*q + 4*o = -6, 4*q = -l*o - 36. Put 3, 7, q, -1 in ascending order.\nAnswer: q, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 + 18*i - 10. Let j(w) = -4*w**2 + 17*w - 11. Let f(s) = -6*j(s) + 5*y(s). What is the units digit of f(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 43*q - 1255. Sort 3, -4, q in ascending order.\nAnswer: -4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from yyykwkk?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -28*t + 175. Suppose 0 = l + l - 38. Calculate the remainder when l is divided by s(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m. Let c be 2 + -4 - (1 + -8). Suppose 3*i - 13 = -0*x + 4*x, -5*x + i = 19. Let f(z) = 2*z. Calculate c*f(j) + x*p(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 less than -30\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.109 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3401513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 430764629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*x - 30 = 0, -z = 3*z - 5*x - 105. Solve -2*n + z = 3*n - 5*o, 0 = 2*n - 3*o - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*s - 28. Suppose -4*c + 27 = -5*o, -5*c = 2*o - s + 2. Let j be 222\/o - (0 + -1). What is j rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.033 - 128.033. Let w = 128.000032 + i. What is w rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -37*k**2 - 4*k - 3. Give z(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.529 to one dp.\nAnswer: 16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 0 - sqrt(1008))**2 + 5 + (sqrt(1260) - sqrt(35))\/sqrt(5)*-4 + 1.\nAnswer: -20*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8\/(-7))\/((-38)\/22211)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2581\/5785 + 6\/(-10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11226935 times -16?\nAnswer: -179630960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (672\/1728)\/((-14)\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/8 + (-1145)\/20)*34701\/(-258)?\nAnswer: 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 6*15964\/(-112). Let t = f - 856. What is the common denominator of t and -79\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:05 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23801662?\nAnswer: 2, 59, 201709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2478 - -19775\/8. Let a = 2\/1027 + 11283\/7189. Calculate the common denominator of a and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 1\/5, -5, 1.2, 1.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*a = -18, -6*a = j - 3*a + 13 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-13))\/((-1)\/1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101071 and 1219?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -10. Let w(t) = -11*t + 16. Let f(d) = 11*d - 16. Let i(l) = -5*f(l) - 4*w(l). Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 - 3*n - 10. Let t be z(-4). Suppose -244 + 90 = -t*d. Suppose 99 = -4*h - d. Round h to 0 dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let z(d) = d**3 - 11*d**2 - 12*d - 1. Suppose 37 = 2*x + 13. Let j be z(x). Is j less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l - 9. Let h(a) = -21*a + 18. Let g(i) = 6*h(i) + 13*s(i). Let p be g(7). Suppose -v + n = 2*v - p, 4*n = -20. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4073 + 4056. Which is smaller: u or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 1 + 9 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 144691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gahaaagagaaaaaggagag. What is prob of sequence ag?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3253000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 2*g**3 + 2*g**4 - g**4 - g**4 - 2*g**4 + (-g**2 + 2 - 2)*(-2 + 2 + 2*g**2) - 3*g**4 + 2*g - 2*g + (-4*g + 2*g + g)*(g**3 + 1 - 1).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + 21*y + 372. Does 31 divide r(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (78 - (3 + 0)) + 3. Suppose 0 = -2*s - 5*p + 25 + 53, 2*s - q = 3*p. Let j = 26 - 12. Calculate the remainder when s is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 15\/6) + 180\/(-24). What is the remainder when (122 + -1 - k\/2)\/1 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2645436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82450 and 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/12 + r**3\/3 + 32*r - 9. Let y(o) be the first derivative of u(o). Factor y(g).\nAnswer: -g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*t = 621 + 8869 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133756 by -180.\nAnswer: 33439\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(21)\/(-3*sqrt(7)))**2*4 + -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25677761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1856719 + -251880642887\/61271727. Let m = v - -4109. What is the common denominator of m and 34\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:46 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3 + 0\/3). Let i be 2 + (-25)\/7 + 1. Sort i, k, 1\/6.\nAnswer: i, k, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4660926 (base 12) to base 4\nAnswer: 303233030232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903182616.\nAnswer: 2, 3, 7, 563, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohtyh. Give prob of sequence thyh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1151449, 2303330, 3455213, 4607098, 5758985, 6910874?\n\"Answer: g**2 + 1151878*g - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 608076 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 22*c + 97. Let m(p) = p**2 + 6*p + 7. Suppose b = -0 + 5, 2*l = 5*b - 35. Let h be m(l). Sort 3, h, c in ascending order.\nAnswer: c, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - l - 5, 3*v = 2*l + 10. Let c = 3 - v. List the prime factors of (-2 - -3) + c + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101200110 (base 3) to base 4\nAnswer: 23200302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*t - 6. What is the third derivative of 8*q**2 + 6*q**6 - 6*q**6 - t*q**6 + 17*q**6 wrt q?\nAnswer: 1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b7 (base 13) to base 3.\nAnswer: 12002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n - 11. Let d be (((-4)\/3)\/1)\/((-1)\/(-3)). What is the units digit of w(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q + 1. Let l(b) be the third derivative of -1\/60*b**5 - 1\/6*b**3 - 1\/12*b**4 + 18*b**2 + 0 + 0*b. Give -l(p) - 3*r(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 39 - ((1 - -2) + (0 - 9))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = -4. Let a = 1 - h. Solve 3*s + 5*y = -29, -15 - 4 = s + a*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Suppose -15 = 4*n + 1. Let r = 20 - 104\/5. Which is the second smallest value? (a) n (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -13, 3, 2\/17?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*x = 10192, 5*t + 28*x - 29*x = 10202. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 527071 - 84130 = -183507. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 6) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 28*n - 507 = -31*n. Let z be 2\/(-7) + 120\/(-21). What is the least common multiple of (-122)\/(-18) - z\/27 and n?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-80*o + 243*o - 77*o) + o - 2*o + 2*o.\nAnswer: 87*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2. Let h(a) = -a**2 - 3*a - 4. Let r(c) = -25*c**2 - c - 4. Let q(p) = -h(p) + r(p). Give n(q(o)).\nAnswer: 1728*o**4 - 288*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3001111102 - 1302?\nAnswer: 3001103200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-1)\/(-6)). Suppose -y + 3*z - 17 = -z, f*y - 2 = 2*z. Suppose -3*w + 3 + y = 0. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005679201 to 4 dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/25? (a) 0.3 (b) -2\/7 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/21)\/((-2)\/(-14)). Suppose 0 = n*z - 5*z. Suppose -3*u + 102 - 42 = z. 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: Let s(o) = -13238*o**2 - 29*o - 86604. Let q(b) = -1891*b**2 - 4*b - 12373. Let x(n) = 29*q(n) - 4*s(n). Differentiate x(a) wrt a.\nAnswer: -3774*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 69. Let t(u) = u + 86. Let p(h) = 5*s(h) - 4*t(h). What is p(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 + 7*h - 4*h**2 - 7 - 11*h - 6*h. Give t(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j, 5*s - 365*j - 31 = -361*j. Solve -5*u + 5*r + 4 = -11, -4*u = -s*r - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105404 is divided by 752.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 4*h + 12. Let n be m(6). Which is smaller: 1\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -70, -103, -138?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115195831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + 8 - (7 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -198*m - 5592. Determine j(-28).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219.69 - 2.31. Let z = -222 - x. What is the nearest to -3\/5 in z, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyrnnrririnyyui. What is prob of picking 1 u and 1 n?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(sqrt(63) + sqrt(126)\/(sqrt(2) - (sqrt(2) - sqrt(2)*1)))\/(sqrt(324)*-3 - sqrt(9)).\nAnswer: 16*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 3) + 7 + -2. Let o = v + -2. Determine q, given that o + 8\/9*q**3 + 2\/9*q - 10\/9*q**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011110001 (base 2) to base 13\nAnswer: a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 31*a**2 + 3*a - 86. Let k be s(31). Solve -4*d + k = 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1250 and 467380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19866)\/215 + (-88)\/55 + 19?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/11 - 128*l**3\/11 + 248*l**2\/11.\nAnswer: 2*l**2*(l - 62)*(l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = s - 4*p, 4*p = 5*s + 2*p - 84. Suppose 4*l - 3*l - s = 0. What is the remainder when 53 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -5)\/(-4)*-133 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31230 divided by 2082.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -24. Suppose 10 = 5*v - 4*s - i, -3*s - 15 = -4*v. Suppose -2*u - 3*o + 98 = v, 138 = 4*u + 4*o - 50. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 + -76. Let z be (f\/4)\/(33\/88). What is the highest common factor of 14 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 0)\/(-3)*2. Suppose -c = 4*c - 35. Calculate the lowest common multiple of c and 1\/(t*3\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 16. Suppose 2*s - o*s - 525 = 0. Let v be 10*10*s\/6. Round v to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = v. Let j = -12\/91 + 527\/546. Which is the nearest to v? (a) 1\/3 (b) -4\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748 and 1702482?\nAnswer: 37454604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*m - 273, -3*m = 6*n + 3*n - 606. What is the remainder when 133 is divided by n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -5. Suppose v = 3*j - 40. What is the remainder when 82 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/2, 6, -5, -0.2, 1\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - a - 8 = 0, -7*a - 1485 = -4*f - 1429 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*a - 2, -u + 4*a + 31 = 13. Suppose 3*y = -5*l + 31, u*l - 43 = -3*l + y. Suppose 0 = 4*o - l. Which is greater: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 206.899602391 + -205.5499769. Let k = 54.650363409 + y. Let v = k - 56. Round v to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*q + 58*q - 9. Suppose -q*p + 44902 = n, -5*n - 25974 = -2*p + 3989. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560443 is divided by 110006.\nAnswer: 10413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-2409)\/(-396)). Is 0 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty sevenths of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + (sqrt(448) + 0 + sqrt(448) - sqrt(448)))) + 1 + 3 - (1*sqrt(448)*-4 - sqrt(448))*-5)**2.\nAnswer: -1664*sqrt(7) + 302864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30131 (base 4) to base 7.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14746211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let s be i(0). Suppose 4*r - 2*n - 16 = n, 5*r + 2*n - 20 = s. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1073 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*r**2 - 13*r*y + r - 247*y wrt r?\nAnswer: -10*r - 13*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y + 7. Let k(m) = -2*m**2 - 6*m - 8. Suppose -4*g = -17 - 3. Let x(h) = g*k(h) + 6*n(h). What is the first derivative of x(i) wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -264728, -264727, -264726, -264725, -264724?\n\"Answer: i - 264729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 * -4216\nAnswer: -20658.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 29. Let s(l) = -13*l - 3. Let h = 1 - 5. Calculate the remainder when s(h) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 - 141*v**2 + 2*v - 89. What is k(47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)*r*r\/r**(-4)*r*(r*r\/(r\/(r*r**(-2\/3))*r))\/(r*r\/((r**(10\/7)*r)\/r)) assuming r is positive.\nAnswer: r**(1073\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j - 3. Let x(u) = -u - 2. Let d be x(3). Let s be q(d). What is the second derivative of i**4 - 3*i + s*i - 4*i - i wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*t - 16 - 12, g + 8*t = 4*g + 106*t + 374 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 17, -17, -87, -205, -383?\n\"Answer: -2*z**3 + 4*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 7*h**4\/3 + h**3\/6 - h**2\/2 - 2*h. Let g be r(1). Let x = -10 + g. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3 + 8*h**3 + 0 - 5*h**3 + 2 with respect to h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 q when four letters picked without replacement from nqqjmnmjqlnnnqnqqqj?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324195 to the power of 1\/2, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-4)))**(-26)*(o**(7\/5))**33)**(2\/9) assuming o is positive.\nAnswer: o**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -169, -260, -351, -442, -533?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 359\/(-5385)*3*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*sqrt(312)*-2 - sqrt(312))\/sqrt(6))\/(sqrt(32)\/(sqrt(8)*1 + sqrt(8))*-3).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f. Let o(c) = -177 - 10*c + 177. Determine o(w(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(-2303))\/(4\/112).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 10.\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l - 39. Let x be z(-18). Suppose x*i + 25 = 38*i. Solve 21 = -i*u - 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 5, a: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 394 + 471 - 816 + 2*b. Determine w(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -23*z**4 + 2*z**3 - 19. Let p(v) = -69*v**4 + 7*v**3 - 58. Let t(a) = 7*g(a) - 2*p(a). Find the first derivative of t(w) wrt w.\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 155, 539, 1171, 2045, 3155, 4495, 6059, 7841?\n\"Answer: -v**3 + 130*v**2 + v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418014822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -11, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynyy when four letters picked without replacement from nyyyynnnyy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*(-2)\/(12\/(-18)). Suppose -3*s - s = -r. Suppose 2*u - 3 = 1. Solve -u*a = -a + s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 + -146. Let h be -23 + (-1)\/((-2)\/z). Which is smaller: -19 or h?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.69 - -0.69. Which is the third smallest value? (a) -9\/4 (b) f (c) 1\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22611 > 26.98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 27916864?\nAnswer: 27916861.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -0.5. Let v = -0.2 + 0.2. Let z = v + w. What is the closest to 2\/7 in z, -4, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, -2\/3, 5\/4, 5453\/2 in descending order.\nAnswer: 5453\/2, 5\/4, -0.1, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 39 in decreasing order.\nAnswer: 39, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 33*s**2 + 14*s. Let z(g) be the second derivative of -g**4\/6 + 2*g + 156. Calculate t(z(r)).\nAnswer: 132*r**4 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 1. Let b be q(2). Suppose 48 = b*u + u. Let m = u - 3. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/12*(-66)\/(-11))*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.103 + -4.897. Let o be (0 - 0) + 0 + 0. Which is the closest to o? (a) u (b) -1\/2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n. Let d(k) = -3*k**2 - 6*k**2 - 6 + 2*k**2 + 2*k + 4*k. Let l(u) = d(u) + f(u). Calculate the lowest common multiple of l(-8) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, f: 1, w: 1, m: 1}. What is prob of sequence mh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.3. Let u = -3 + 10. Suppose 0 = -4*s + 6*s - 6. Which is the third smallest value? (a) d (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*f**2*p - 2*a**2*f + 16*a**2*p*u - 3*a**2*p - a*f**2*p + 10*a*u + f**2*p*u - 2*f - 2*p*u wrt a?\nAnswer: 4*f**2*p - 4*f + 32*p*u - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/9 + (-50)\/18. Let g = 366.97 - 369. Let t = -0.03 - g. Which is the nearest to 1? (a) t (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1108611 and 53\/588.\nAnswer: 31041108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - r + 15 = 0, -377*t + 386*t + r = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 3 = -5*v. Suppose -2*a - 2*h = -4*h - 88, 0 = -3*a + 2*h + 136. Find the common denominator of 3\/v + (-170)\/a and 51\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = -14. Solve n = -k + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - -3*((sqrt(245) - (sqrt(245)*-2 - sqrt(245))) + sqrt(245)))\/(sqrt(60)\/sqrt(3)))\/(3*sqrt(7)*-3 - (sqrt(126)\/sqrt(2) - sqrt(63))).\nAnswer: -8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjm when three letters picked without replacement from {c: 5, j: 3, h: 1, m: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2))**50\/((o*o\/(o\/o**(-1\/10)))\/o**(-3\/8)))\/(o**(-2\/5)*o**(-4\/5))**(-46) assuming o is positive.\nAnswer: o**(-4259\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 882, 880, 878?\n\"Answer: -2*y + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -326955001\nAnswer: -1307820004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -137502 (base 9) in base 6?\nAnswer: -1450002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*k - 795*k - 4 + 62*k + (-6 + 2 + 2)*(2*k + k - 2*k) + 0*k + k + 0*k as y*k + u and give y.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 165189 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:45 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -2 - -2) + (-25 - -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/7 + 10*y**3\/7 + 13*y**2\/7 - 60*y\/7 + 36\/7.\nAnswer: (y - 1)**2*(y + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267727 - -42.\nAnswer: -267685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 568655085 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-45)\/(s**(-3\/2)\/s**6))\/((s**(-4)\/s*s**(-2\/5))\/(((s**(-5\/4)\/s)\/s)\/s**8)) assuming s is positive.\nAnswer: s**(-417\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*n + 258. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-423 - -427) + (-3 + (-2 - -3) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 4 - c + 2*c - 5*c. Suppose 2*u + 13 - 1 = 0. What is the units digit of j(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t\/(t*(t\/t**(-1\/3))\/t))))\/t)\/t)**(-8\/15) assuming t is positive.\nAnswer: t**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19344*j**2 - 19305*j**2 + 38652*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47052785.\nAnswer: 5, 13, 709, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**1*w)*w)**20*(w**4)**(21\/2) assuming w is positive.\nAnswer: w**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 + 6*o - 6. Let v = -1 + 4. Let a(y) = y**2 + 1. Let f(n) = v*a(n) + s(n). What is the units digit of f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3799.234 tonnes to micrograms.\nAnswer: 3799234000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 6*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -11. Suppose 0 = 7*s - 4*s - v. Solve 5*m - 2 = 4*o + 2, -4*o - s*m - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 183*f**3 + 1 - 17*f + 246*f**3 + f**4 - 86*f**3 to s*f**4 + n*f**3 + u + l*f + b*f**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6*w = 0. Find the second derivative of 81*m - 78*m - 5*m**4 + w*m**4 wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/370310 and 101\/1710?\nAnswer: 3332790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 116802531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210444434100 - 10?\nAnswer: -210444434110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*b**3 + 25*b**2 - 27*b**2 + 3 + 23*b**4 + 3*b - 22*b**4 - 2 + 8 to c*b**3 + a*b**2 + m + j*b + v*b**4 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 1, w: 2, r: 1, b: 1}. What is prob of sequence qn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022198451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -3) + 2 + 0. Suppose 3*m + x = -2, 5*x + 10 = -g*m + 4*m. Solve 5*r + v = m, -v + 2*v = 4*r - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(76).\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*o + o = -3894, 5*z + 2*o + 3879 = 0. Let w = -130531\/168 - z. Let m = w - -155\/84. What is the common denominator of -43 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**7*c))\/c**(-3)*(c\/(c*c**(2\/9)))**18)**(1\/3) assuming c is positive.\nAnswer: c**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**8\/84 + p**7\/21 - 93*p**4\/4 - 678*p**2. What is the second derivative of a(n) wrt n?\nAnswer: -80*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 139469439 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131 - 187*o - 6 + 390158*o**3 - 390156*o**3 wrt o.\nAnswer: 6*o**2 - 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23014028*k*m**2*x**3 + 333*k*m**2*x**2 + 21*k*m**2*x - 325*k*m*x**2 + 13*x**4 wrt x.\nAnswer: -138084168*k*m**2 + 312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.567 centimeters in nanometers?\nAnswer: 245670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 925 or -655487?\nAnswer: 925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (5 + -7 + -24). Which is smaller: s or 32?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 - 5*h**3 - 7*h**2 - 4*h - 31. Let p be m(-14). Let b = -0.14 - 5.86. Sort 1\/4, b, p.\nAnswer: b, p, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/426398960 and 17\/53299870.\nAnswer: 426398960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -318292368 divided by 3?\nAnswer: -106097456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17894416863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let s be (-207)\/6 + m\/(-2). Is (s\/(-3))\/(2\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3)*5\/(-10) - 11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169999 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(160)\/sqrt(4))\/sqrt(8) + -3 + sqrt(80))**2 + 5.\nAnswer: -36*sqrt(5) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let c(v) = 4*v**3 - 2*v**2 + v. Let d be c(1). Let s(f) = f**2 - 6*f + 10. Let g be s(6). Solve 0 = -l*o - d*o - g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let s(g) = -162*g. Calculate k(s(x)).\nAnswer: -26244*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12844335 divided by 5.\nAnswer: -2568867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*l - 4*h, -2*l + 4*h = -15 - 31. Let j be (-4)\/12 - 17\/3. Let n(b) = 4*b - 2. Let w(x) = 5*x - 1. Give j*n(g) + l*w(g).\nAnswer: g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2626914, 10507617, 23642110, 42030387, 65672442, 94568269, 128717862?\nAnswer: 168121215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*k - 7. Let c be k\/(-5) - (-3 + 707\/245). Suppose -4 = n - 0. What is the closest to -1\/4 in 1, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*r**2 + 3*r**4 + 22*r**2 + 1 + (r**2 + 4*r**2 - 3*r**2)*(-2*r**2 + 2*r**2 + 2*r**2) - 35*r**4 + 113*r**4 + 156*r**4.\nAnswer: 241*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 1\/6 (c) -2 (d) 13 (e) -2\/199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/6583, -6, 4, 2\/5, 7, -5 in descending order.\nAnswer: 7, 4, 2\/5, 26\/6583, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/5 - 2 - 9\/3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3069\/(-12))\/((-60)\/320)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5907 or 5910?\nAnswer: 5910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and -27?\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*p**3*r + p*r + p + 2 wrt p.\nAnswer: -480*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -5860146.\nAnswer: -13\/2930073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 73 - (-3)\/(-6)*4. Let i be 8\/3*(v + 10). Suppose -3*o + 4*j = -2*o - 72, 5*j - i = -3*o. 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: Is 19487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969701?\nAnswer: 3, 43, 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 245 = 0. Is s a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4247483 milligrams in tonnes?\nAnswer: 0.0000000004247483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-124)\/(-186))\/(1\/6). Suppose p*v - 1044 = 4*c, -740 = -2*v - 2*c - 234. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -8 - (49 - 47) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1090 + -751. Calculate the highest common factor of n and 1808.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34102023 + 2?\nAnswer: 34102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1800 and 1368.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -18*i + 99. Let b be f(-14). What is the highest common divisor of b and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -111.72. Sort -0.1, w, 0.1 in ascending order.\nAnswer: -0.1, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 2. Let h be m(5). Suppose -14 = -12*f + 10. Suppose f*q = -5*w + 43 + 353, 0 = q + h*w - 198. What is the highest common divisor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 a when three letters picked without replacement from aljapsp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.9 in 4\/95, 0.3, 3\/5, 4, 13, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.54093 millennia to months.\nAnswer: 66491.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-63)\/6)\/(-7))\/((-3)\/8). Is 8066\/(((-7)\/14)\/(1\/d)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71324568, 142649135, 213973702, 285298269, 356622836, 427947403?\nAnswer: 499271970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u, -3*c = 2*u + u - 27. Let n be 147\/(-140) - (-8)\/c. What is the second biggest value in -2, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and -25\/286203056.\nAnswer: 858609168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 6*b - 11. Suppose 6*h = 4*h + 42. Suppose 3*i = 2*a - 97, 0 = -a - 5*i + i + h. Suppose -6*f - 7 - a = 0. Calculate v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15) - 44\/10. Let g be (n - -2)\/(0 - -2). Let p = -0.01 + -0.29. Sort p, g, 4 in decreasing order.\nAnswer: 4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231\/(-2)*(-13324)\/(-36641).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 10133?\nAnswer: 10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 14. Let n be -2 - (3 + -3) - 0. Which is the nearest to -1? (a) -0.2 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 38*h - 5 - 9*h)*(2 + 3 - 6)*(15*h**2 - 5*h**2 + 77*h**2) to the form q*h**3 + k + g*h + m*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76590677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 52*m**4 - 81*m**4 + 5*m - 3*m + m**3 + 132*m**4 in the form x*m**2 + h*m + z*m**4 + s*m**3 + q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 7874 = 5*f + 7902, l + f = 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 10*x + 142 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321001 + -1?\nAnswer: -321002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let r be j + 20\/12 - (-19)\/3. Solve 4*i = -4*k - 12, k + 3*i + r = -2*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4097\/35 + -117. Does 1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 3014001241?\nAnswer: 3014001233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3894 and -83\/1379715.\nAnswer: 30353730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*y + 700 + 373, -3*y + 2*l = -822. Let c = y + -196. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - 1 - (14 - 1 - (-37 - (53 + -109))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37680*f**4 + f**3 + 287905*f wrt f.\nAnswer: 452160*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 273 = -23*i. What is the third derivative of -23*d**3 + 85*d**3 - 252*d**2 - 2*d**5 - i*d**3 wrt d?\nAnswer: -120*d**2 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6 - 2. Let j be (-2)\/z - 15\/(-2). Suppose -j = -b + 3. Solve l + 2*o = b, -2*o + 26 = -0*l + 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let q(w) = w**2. Let t(k) = 3*i(k) - q(k). Let y(d) = 17*d. Determine y(t(r)).\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.136 + -0.264. Let c = 24 + -27. What is the smallest value in -2\/17, -4, c, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**5 - 14470*s**4 + 57960*s**3 = 0.\nAnswer: -2898, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2063 - 1031. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210222 (base 3) in base 9?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0*r - 1\/24*r**4 + 0*r**3 + 6*r**2 + 0. Let d(z) = z. Let b(p) = 3*p. Let j(q) = 2*b(q) - 3*d(q). Give j(u(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1\/(-4)*0. Let o = -5 - l. Let z(r) = -r - 1. Determine z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 28)\/(((-6)\/(-2))\/(-3)). Let d be (11\/55)\/(5\/v). Is d <= -5\/172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313.813312 + -313.8. What is l rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005883 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -94*v**6\/3 - 185*v**4\/4 - 385*v - 3. Find the third derivative of y(l) wrt l.\nAnswer: -22560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*((-24)\/10 + 2). Let h = 2 - f. What is the smallest common multiple of (-16 + 2 + 4)*-1 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6971890171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (7 - (1 + (-13 - (5 - (8 - 8)))))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 41 in increasing order.\nAnswer: -5, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**2 - 1\/5*o**4 + 0 + 24\/5*o**3 - 24\/5*o.\nAnswer: -o*(o - 24)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b13c54 (base 13) to base 4\nAnswer: -33232032000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 4, 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -588928 (base 13) in base 2?\nAnswer: -1000000001101100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 5*w + 10. Let m be t(-7). Let j be (m\/(-82))\/((-2)\/(-28)). Solve 0 = -2*g - 5*g - j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 22. Suppose g + 0 = -7. What are the prime factors of d(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207573 minus 817712?\nAnswer: -610139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19472640 a multiple of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-4 + 6 + 4) - (-125 + 28)) + 10\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 5) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 11*n**2 + 5*n - 2. Let h be u(-11). Let d = -53 - h. Suppose 3*z = -d + 4. Solve -2*a - 3*a = z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 - 110. Let u = 26 - b. Solve -5*o + 23 = -4*n, -5*n - 2 = -u*o + 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4038967, 4038966, 4038965, 4038964, 4038963, 4038962?\nAnswer: 4038961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqmmmqmmmmmmqmmm. What is prob of picking 2 m?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 887 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2964 and 32058?\nAnswer: 1218204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2365908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 - 21. What is the remainder when m is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-69)\/(-15) + (-4)\/(-10). Let j = 39 - 19. Suppose -k*f + 1 = -2*d - 24, 4*f = j. Solve 4*m - 12 + 0 = d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/198 and -47\/30?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 28 - 4*s**3 + 9*s**3 - 18 - 16 + 8*s**2 - 2*s**2. Let u(b) = 11*b**3 + 13*b**2 - 13. Let p be 186\/(-14) + (-6)\/(-21). Calculate p*a(c) + 6*u(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -508*n - 3038. Calculate the lowest common multiple of a(-6) and 10312.\nAnswer: 51560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 16?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14273789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 195755572 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 20, 0.068, -17?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + i = -7 + 4, -5*z - i = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (-7 - -16 - 2) + 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let x be (-4)\/(-8) + 14\/(-4). Let c be -3 + 3\/x + 0. Is k at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24321424 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/5 - 151444*w\/5 + 19352064\/5 = 0. What is w?\nAnswer: 128, 75594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27045917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(4 - 12 - 1)*(-w + 7*w - 2*w).\nAnswer: -108*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (2 + sqrt(612)))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 3 - 727*m + 730*m + 2*m**3 + m**2 to the form h*m + f*m**2 + g + t*m**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -150988 + 4\nAnswer: -150984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 15*b - 10*b**3 + 15*b.\nAnswer: -10*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25.05188 decades?\nAnswer: 0.2505188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1948 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 83592450*s**2 + 12379588104639 + 15059267565611 + 3*s**4 + 25860*s**3 + 120094486500*s + 37262048931625.\nAnswer: 3*(s + 2155)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k - 8 = -4*o, -4*o = 4*k + 8. Suppose 4*d - 5*b + 63 = 0, -5*d - 63 = -0*d - b. Let v = 28 + d. Solve o*x - 4*x - v = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 746187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 3*b**2 + 2*b - 1. Let n be j(-1). What are the prime factors of -156*91\/(-26) - n*4?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 + x + 1. Let y be b(-1). Let n = -126203\/5 + 25107. Let v = n - -134. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13 - 17)\/(8\/(-6)). Suppose 10 = 3*a + 3*y + 2*y, -5*y - 20 = -o*a. Solve -2*r = -5*p + 6, 0*r - 6 = 2*r + a*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343296 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 466 + -466.00239. Round a to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326.5 - 9176665272.\nAnswer: -9176664945.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6094890423 to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5 + -3*sqrt(320))**2 + sqrt(320)) + ((sqrt(40)\/sqrt(72) - sqrt(20))*-3)**2.\nAnswer: -5685 + 464*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1. Let f(o) = -10*o - 25. Calculate -f(h) + 25*u(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -17*p + 154. Suppose -4*w + 13 = -5*t, 0 = 2*w - 5*t - p + 2. Solve 3*d = -w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) 2\/3 (c) -14 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 3416*n + 139308.\nAnswer: -4*(n - 893)*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 27 = -21*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*-1 + 0)*-2)**2*6.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -932616 by 6.\nAnswer: -155436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 6*i**2 - 3*i**2)*(-498*i**3 - 33*i**2 + 24*i**2 + 545*i**3).\nAnswer: 94*i**5 - 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let b(t) = -2*t. Determine -3*b(v) - 2*u(v).\nAnswer: 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 3151797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011702 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 23*c - 89. List the prime factors of u(38).\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(75)*1)*-1 - (-5*1*sqrt(75) + (3 + sqrt(75) + -1 - sqrt(75)) + sqrt(75)))**2.\nAnswer: 30*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/24)\/(((-48)\/6)\/(-192))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:36 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2191, -4255, -6319, -8383?\n\"Answer: -2064*f - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 124?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 82*w**3 + 7*w**2 + 11*w + 16 - 66*w**3 + 14*w**2. Let o(x) = 3*x**3 + 4*x**2 + 2*x + 3. What is -11*o(v) + 2*r(v)?\nAnswer: -v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 - 2 = 0. Suppose -y = g + 2*g - 9, -r = y - g. Suppose 4*s - 4*o = 0, y*o - 32 = -3*s - 5*o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 3*a**2 + 32*a + 26. What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 - 3*v - 3. Let z(o) = 19*o**2 + 7*o + 6. Let i(c) = 7*h(c) + 3*z(c). Let d(f) = 2878895 - 2878895 - 3*f. Determine i(d(t)).\nAnswer: -54*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (-27 - -21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979424372 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/126)\/(1*2*(-7)\/308)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1387 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 70144769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228.84 * -4.\nAnswer: -915.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) -5 (c) 209 (d) 0.3 (e) 2523\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 5*n + 9. Give x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -2\/7?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 794279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o - 965. Let q = -237283\/6 + 39741. Let u = o - q. Which is the third biggest value? (a) u (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z + 5. Let o be w(0). Suppose i - o*g - 31 = 5, 48 = 2*i - 2*g. Calculate the highest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8387531 grams to tonnes.\nAnswer: 0.0000008387531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 + i**5\/10 + 5*i**4\/24 - 2*i**3\/3 - 4*i**2. Let b be v(5). Suppose 6 = -4*u + b. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -605805 or -6663853\/11?\nAnswer: -605805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -125*f + 3877. Let s be b(31). Let g be 1\/((-14)\/(-12) - 1). Let o(k) = k - 6. Let a be o(g). Solve s*i - 4*i + 10 = a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + b + 1. Let g be m(-2). Let h(l) = 2*l**2 - 28*l - 58. Let d be h(16). Let q(a) = g - 3 - d*a**2 - 12. Let y(s) = -5*s. Give y(q(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8 - 2*i**2 - 49*i + 15 - 1. Let q(z) = 3*z**2 + 97*z - 11. Let n(u) = 11*d(u) + 6*q(u). What is the second derivative of n(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -18982251.\nAnswer: -18982249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in -2586, -43, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 914 = 946 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 22514\/14 - 0 - (-16)\/(-2352)*21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = h + 505, 4*g = -2*h + 502. What is the remainder when g is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*r - 6*r**2 + 7*r**2 - 199173 + 0*r + 199231 as k*r + w + o*r**2 and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197872457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -937*j**2 + 4*j + 4. Let g(k) = -217386*k**2 + 929*k + 929. What is -4*g(c) + 929*r(c)?\nAnswer: -929*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 454 = -j - 436, -3 = -j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 24 = 11*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + 3*1*sqrt(77) - sqrt(77)))\/(sqrt(88)\/sqrt(128)).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 96, 104, 112?\n\"Answer: 8*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7576403\/84 + -90197. Calculate the common denominator of o and -173\/1470.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11926802 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1557286 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -978237*y**3 + 2*y + 63820 wrt y?\nAnswer: -5869422*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**3 - 225*b**2 - 435*b - 215 = 0.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 l when four letters picked without replacement from ylyllwy.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2646045*x + 2646069*x + 0.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 68.3642 kilometers?\nAnswer: 68364.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - -1*sqrt(224) - sqrt(224))\/sqrt(8))\/((sqrt(4) + sqrt(36))*6).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 7*d. Let q(f) = 2 + 5 - f + 6 - 6. Let t be q(12). Is n(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 30. Let j be (-1 + -1)*w\/(-10). Factor 2*a**2 + 0*a**3 - 8*a**2 + a**3 + 2*a**j.\nAnswer: 3*a**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -47. Let u(v) = -v - 5*v**2 + 4*v**2 - 1 + v**3 - 2*v**3 - 1. Let i be u(-2). Calculate the highest common factor of i and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -163.6. Let t = -1506 + 18043\/12. Let p = t + 11\/4. Which is the second smallest value? (a) s (b) 0.2 (c) p (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.62212 times -2.72?\nAnswer: 4.4121664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -936?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1094 - -1092. Let f(i) = i**2. Let t(x) = -x**2 + x + 1. Give k*t(g) - 3*f(g).\nAnswer: -g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) - (sqrt(1152) + sqrt(1152) + sqrt(1152)*1 + sqrt(1152)) - -1*-1*sqrt(18))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) 2\/7 (d) 0.5 (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29236391897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189*u**3*z + 6*u**3 + 13180*u**2*y**2 - 307*u*y**2*z wrt z.\nAnswer: 189*u**3 - 307*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96410013 at most as big as 96410016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*x = -3584 + 1557 - 3749 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**14\/w)\/w)**(1\/5)\/((w\/(w**(-7\/2)\/w))\/(w\/(w\/(w**(-27)\/w)))) assuming w is positive.\nAnswer: w**(-311\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36856688 divided by 38?\nAnswer: 18428344\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 8441 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/480 - 141*p**5\/80 - 19881*p**4\/32 - 934407*p**3\/8 - 7*p**2 - 2*p. Factor c(w).\nAnswer: -(w + 141)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 227.5, -2, 0.4, -2\/3?\nAnswer: 227.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**6\/30 - j**5\/30 + j**4\/12 + j**3\/2 + 6*j**2 + 1. Let x(u) be the second derivative of a(u). Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/4*2464\/(-70). Calculate the highest common factor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58069815 from 1619019.\nAnswer: -56450796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-8)*(-55)\/(4675\/68)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5316*o**6 + 83*o**2?\nAnswer: 637920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29858046 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 626, 620, 604, 572, 518, 436?\n\"Answer: -r**3 + r**2 - 2*r + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428655177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 38005*j\/3 + 63350.\nAnswer: -(j - 38010)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.54 (c) -2 (d) -0.2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2)*2\/4. Find the common denominator of (-65)\/33 - i\/3 and 110\/(-28) + (-2)\/4.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10767 + 246\/22 + -11 + (-2)\/11?\nAnswer: 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 + 3*p + 1329. Let c be l(0). Let a(d) = 3*d + 0*d - 5*d + c - 1329. Let r(o) = 3*o. Calculate a(r(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + d**2 + 2*d + 25. Let s be a(0). Is (4\/(-10) - 3940\/s)\/(-2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/3)\/(-2)*1\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 405*u**2 - 2*u - 23. Is l(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -186?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + 6*z)*(9439 - 4153 - 4256).\nAnswer: 2060*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1853, 2, -597 in descending order.\nAnswer: 1853, 2, -4, -5, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 321?\nAnswer: 20544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28))\/(7\/252)*-4*84\/24\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*n = 4*n - 6, 0 = -3*w - n + 17. Let u(f) = f**2 + 5. Let d(g) = 1. Let y(p) = w*u(p) - 20*d(p). Factor y(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14433, -15532, -17357, -19902, -23161, -27128, -31797, -37162?\nAnswer: -43217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 930 + -1224. Let g = z + 2055\/7. What is the second smallest value in 3, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/408816 and -35\/873744.\nAnswer: 44560944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20, -1, 3 in descending order.\nAnswer: 20, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 - 62 - 54 + 106)*(-4*h**3 + 0*h**3 + 3*h**3).\nAnswer: 128*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*a - 61*a - 69*a + 38 + 7 + 185*a.\nAnswer: -2*a + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 21*i - 18*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**3 - 4*b**2 + 4*b. Let y(o) = 8*o**3 + 2*o**2 + 2*o - 7*o - 18*o**3 + 3*o**2. Calculate 5*p(r) + 4*y(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 2*v + 2. Determine z(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 26*n - 8. What is w(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(4320\/10)*-2.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(164\/16 + 3). Let p = z - -85. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22716 (base 9) to base 13\nAnswer: 6b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*j + 3151 - 72 = -827 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111200462115 take away -162?\nAnswer: 111200462277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88290619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1531*k + 60*k - 1141*k - 1402*k + 2*k + 3 - 3 + (-1 - 4 + 4)*(-6*k + 0*k + 4*k) + k + k + k to the form p*k + i and give p.\nAnswer: -4007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 21. Let w be t(9). Let b(d) = -2*d - 4. Let n(x) = -x - 2. Give w*b(o) + 7*n(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 42 + 2 = 0. Let g(f) = f**3 + 10*f**2 - 13*f - 8. What is the tens digit of g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4503 (base 6) in base 12?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4*y - 1. Let c be j(-4). Let l = -21 + 2. Let g = l + c. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqjjjqqqqqqqqjqjqq. What is prob of sequence jq?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -75?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 311*c + 3418. Give z(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1115 + -1111. Solve z*n = 16*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1062 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1718 - -3079. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-7 - ((-539)\/22 - -16)). Let b = -2\/693 + -592\/693. What is the second biggest value in b, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:15 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -2*z, 0 = -2*w - 4*z + 5 + 5. Suppose -4*c + 214 = -h, w*h - 10 = -0*h. Suppose -3*r + 3 = -c. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34682311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (49 + -50 + 18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4978.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*u = 499*u + 12. Let a(s) = -s**2 + 3*s - 2. Calculate a(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5229*o - 1748*o - 1753*o - 1741*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 1. Let v be q(2). Let i be (16 + -7)\/(v\/2). What is the tens digit of 7\/((9\/(-3))\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*d**3\/2 + 708*d**2 - 1539*d\/2 + 55 = 0. Calculate d.\nAnswer: -110, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - (-25 - -3) - 4) + 833 + -845.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -18*x**3 - 2*x**2 + 1. Let j be k(-1). Let l = j + -2. Suppose 5*o = l, -2*m - 2*o + 11 = -7*o. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-9\/2)*i*i*i\/i**(-9\/7)*i assuming i is positive.\nAnswer: i**(151\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79686 divided by 4427.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24015, 96266, 216685, 385272, 602027?\n\"Answer: 24084*p**2 - p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85675 is divided by 4234?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46106942 is divided by 146.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 30 (b) -0.1 (c) -0.2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-7 - (-189)\/14)*(-2)\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -141*l + 2703 - 1012 - 1806 - 1294. What is k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 12. Suppose v*m - 4 = -4*p, -3*m = -p - 0*p + 5. Let d(q) = q**2 - q + 5. Let c be d(0). Sort p, c, 4 in decreasing order.\nAnswer: c, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200683279?\nAnswer: 3257, 368647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u + 33*u + 29*u - 85*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.593575 millilitres in litres?\nAnswer: 0.000593575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/3 - 856*v**4 + 10292*v**3\/3 - 15448*v**2\/3 + 3434*v - 2576\/3 = 0.\nAnswer: -1288, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1383 - -1406. Solve -2*i + 2*j + a = i, 3*j = -12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, f: 6}. What is prob of sequence tf?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 2, j: 3, q: 1, i: 1, u: 1}. Give prob of sequence xiq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/9))**(2\/27) assuming v is positive.\nAnswer: v**(10\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*i - 8 = 0, 2*y - 3 = -y + 3*i. Suppose -y*s + s + 30 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + -10 + -8 + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 + 2537.4?\nAnswer: 2314.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmzlzzmmzlzzmmg. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 2*a + 9. Let j(p) = p**2 + 11*p + 12. Let d be j(-9). Is b(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2604162780?\nAnswer: 2, 3, 5, 223, 64877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33400, 33163, 32924, 32683?\nAnswer: 32440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 12 = 3*d + 2*t, -4*d + 5*t = -30. Let b = -291 - -297. What is the lowest common multiple of d and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + (sqrt(27) - (1 + sqrt(27) - sqrt(27))*-2))**2 + 0 + -2.\nAnswer: 58 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -7 - (-213)\/(-36) - -5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 70 = -2*l, 518*b - 2*l + 146 = 541*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-44)*-1*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9 + 11*x - 5 - 1 - x**2 + 0. Calculate n(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3204, -6440, -9676?\nAnswer: -12912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4588 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*v**2 - 13*v**2 - 173*v + 18*v**2 + 16*v**2 + 13*v**2 to j*v + d*v**2 + c and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 56*i = 327*i + 415*i - 39540 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187463494 smaller than 187463491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 d, and 1 i when four letters picked without replacement from {i: 3, d: 2, z: 7, e: 1, w: 2, p: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 greater than -28\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20292 + 20290. What is the nearest to -2 in 1, s, -15, -10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 + 619597*q**3\/2 + 383900442409*q**2\/4.\nAnswer: q**2*(q + 619597)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24817 and 363623.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12573 + 12680.51. Let c = 190 + -297. Let j = q + c. What is j rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3981 divided by 39?\nAnswer: -1327\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, l: 1}. Give prob of picking 2 c.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75359 = -20*g + 74899 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1464, -2901, -4334, -5763, -7188, -8609?\nAnswer: -10026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 + 228*t**2\/7 + 834*t\/7 + 220\/7 = 0. What is t?\nAnswer: -11, -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31295 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -38) + 8 + (-44 - (-112 - -54)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(33)\/sqrt(3)*-5*3)**2.\nAnswer: 22279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 - 7*q - 6. Let y be m(6). Suppose 5*k - 2*k + y = -4*o, -18 = 3*k + 2*o. Sort k, 14, -5 in decreasing order.\nAnswer: 14, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33214046?\nAnswer: 2, 337, 49279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(931) + (sqrt(931) + 0)**2*6)*-2 + ((sqrt(931) + 0 + sqrt(931))*2 + 5)**2)*-5.\nAnswer: -18730 - 1330*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -229 less than or equal to 32\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1956 and 13203.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -204. Solve 0 = -p*w + 24 + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-1.00427844\nAnswer: 0.0301283532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -109949\nAnswer: -109949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c9490 + -a?\nAnswer: -9c949a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 9*j - 3. Let z(a) = -7*a**2 - 33*a + 11. Let g(n) = 22*y(n) + 6*z(n). Let w(x) = 3*x + 1. Determine g(w(s)).\nAnswer: 18*s**2 + 12*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = 8. Suppose 5*u - 5 = -5*n, -n = -i*n. Which is bigger: 1\/60 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, -38, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*y + 25*y - 166*y to g*y + s and give g.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92669\/9 or 10297?\nAnswer: 10297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 3}. Give prob of picking 2 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2 - 3 + 2*w - 16*w**2 + 0 - 3*w**2. Let l be x(1). Let u = l + 15. What is the second smallest value in -1\/3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 - 2\/5. Solve -3*z = 2*q + 4, z = -2*q - y*z - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8a3 - -142?\nAnswer: 9e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867454.4 years to decades.\nAnswer: 86745.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -3467*z**5\/5 + 6046*z**3\/3 - 838. Find the third derivative of b(t) wrt t.\nAnswer: -83208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4889?\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 3*h - 8397 = 0. Calculate the remainder when h is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**4\/24 + 4*t**2. What is w(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/2*(-65)\/(-52)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 30*k - 7*k - 8*k in the form b + c*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/20 - k**4\/12 + 8*k. Let v be j(1). Let w be (v\/(-18))\/(3\/(-6)). Is 0 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -b - 154. Suppose 0 = -b*w + 14*w. Solve 4*c - 11 + 3 = w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -891 divided by 3?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 9) to base 5.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*t = 3, 0*n - 10 = -2*n - 4*t. Suppose -2*k + 545 = n*a + 3*k, 2*k - 181 = -a. List the prime factors of a.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let k(a) be the third derivative of -a**5\/20 - 11*a**2. Determine k(b(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2565, -3106, -3453, -3606, -3565, -3330, -2901?\n\"Answer: 97*t**2 - 832*t - 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 69*d + 306. Let q(f) = -f**3 - 9*f**2 - 2*f - 10. Determine q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.5 (b) 1\/7 (c) -129\/11 (d) 0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(165))\/sqrt(5) - sqrt(33))\/(sqrt(9)\/sqrt(3)*-4) + ((sqrt(396))**2*-2 - sqrt(11) - (-2*sqrt(121))\/sqrt(11)).\nAnswer: -792 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-12)*t)*t*t**18\/t*((t*t**10*t)\/t)**(-12) assuming t is positive.\nAnswer: t**(-103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + z = 17, p + 15 = 4*p + 3*z. Let r(s) = s**3 + 15*s**2 + 19*s + 82. Let t be r(-14). What is the units digit of ((-28)\/t)\/(p\/(-54))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95.1439 - -0.1561. Let c = d - 95.300000743. Round c to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1712*v - 1507*v + 7566 = 2646 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1426221 and 179389?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19409, -18762, -17685, -16178, -14241?\n\"Answer: 215*i**2 + 2*i - 19626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/2 (c) 733 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 - 36 = 3*u. Let p = 94 + u. Suppose -8*q + p = 1. Solve 0 = -5*o + q + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from {p: 1, q: 1, f: 1, o: 1, u: 2, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50762 greater than or equal to -255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*n**4 + 74762*n**2 + 9024564*n.\nAnswer: -240*n**2 + 149524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 - 5*u - 5. Let n be r(4). Let t(o) = -o + 5. Let v be t(6). Let y be (v - 1)*3\/(-6). Calculate the greatest common divisor of y and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (299\/(-26) - 17)*((-1012)\/33)\/(-23)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 1 k when three letters picked without replacement from {k: 1, v: 1, n: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) + 174*10\/14. What is the highest common factor of 31 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lallaa. What is prob of picking 1 l and 3 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/120 + y**5\/4 + 7*y**4\/12 + 6*y**3 + 3*y**2. Let l be 8*(4\/10)\/(12\/60). List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(4 - 7 + 4) + 3 + 0 + 2 + 0 - 4 - 1)*(563 - 30*z - 563) + (1 + 0 + 0)*(-1 + 1 + 2*z).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94539060 by 396.\nAnswer: -238735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108.1 - -102. Let p = 10.1 + x. Which is the fourth smallest value? (a) 1\/4 (b) -0.08 (c) p (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -6) + -2 + 2. Is v*(3 + (-74)\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:13 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + b. Let r(m) = 16 - m + 12*m**2 - 23*m + 12 - 46. Let z(l) = -r(l) - 9*t(l). Let z(d) = 0. What is d?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248689 divided by -248689\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-4) + 1\/4. Let h(o) = 13*o - 317. Let t be h(25). Differentiate t + 4*q + 6*q - 7*q + p*q wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u = 41*u + 6. Suppose f - 396 = -u*f. Calculate the highest common divisor of f and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/(15*4\/60)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*p - 13*p + 1206772. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -258, -1320?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 1. Let z = 198 - 201. Let d = 23 + z. Put d, i, 0 in increasing order.\nAnswer: 0, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-46)\/(42504\/210)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 5513730*i - 38596112\/7.\nAnswer: 2*(i - 1)*(i + 19298056)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15137 divided by -5\nAnswer: -15137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30357 + 205?\nAnswer: -30152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 121012220100001 (base 3) to base 8\nAnswer: 40702313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/208654095 and -61\/6.\nAnswer: 417308190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12915790 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1240 and -7\/2480.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -38. Solve l = p*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 11.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1318 + -5371\/4. Calculate the common denominator of w and (142\/24)\/(2 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67+-0.82\nAnswer: 66.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-10))\/((288\/(-45))\/16). Sort a, -1\/2, 1\/2, -6 in descending order.\nAnswer: a, 1\/2, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -85143109 and -85143124 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*u + 810, 8*u - 801 = -5*j + 4*u. Calculate the remainder when j is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*r - 4, -29 = -5*l + 2*r - 3. Suppose -3*o - 3 = -z, l*z - 12 = 3*o - 2*o. Suppose q - 2 - 6 = o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a day in hours?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (28\/7)\/(2\/7) is divided by 15*1\/3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, o: 2, k: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-39)*(-2184)\/126.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*f**2 + 362*f**2 - 176*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 7*y**2 + 9. Let r be p(-4). Is (r - (-2 - 4))*16118\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 9, 9, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + ((sqrt(96)\/sqrt(3)*-1)\/sqrt(4))\/(2*sqrt(16)*-1))*-1)**2.\nAnswer: -645\/8 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzz when three letters picked without replacement from {w: 4, z: 14}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1261, 0.1, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201*i**2*x**2 - 335*i*x**2 + 26241629*x**2 wrt i.\nAnswer: -402*i*x**2 - 335*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3435 - -3437. Let k(i) = 5*i**2 - 3*i**2 + 3 + 2. Let z(t) = -3*t**2 - 6. Let y(u) = -4*k(u) - 3*z(u). Determine y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -117*x + 122*x, 0 = -2*m - 4*x + 20. Which is the closest to 45? (a) -6 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-3875)\/200 + 16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4202995.3 less than -0.3593?\nAnswer: 4202994.9407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12355 divided by 20?\nAnswer: 2471\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-5))\/((-2)\/85). Let q = u + -32. Suppose 0*r = -3*r + q. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13748, 13754, 13760, 13766, 13772, 13778?\n\"Answer: 6*i + 13742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 2*r - 3. Let s be o(4). Let w be 42\/35*(-25)\/(-105). Suppose -24 = -i - 3*i. What is the second smallest value in w, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*p**5 + 95*p**4 + 14245*p**3 - 218385*p**2 + 848475*p + 225990 = 0. What is p?\nAnswer: -31, -1\/4, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 329 divided by 195\nAnswer: 329\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2190587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/2 + j**2 + 2*j + 3. Let q(n) be the first derivative of t(n). Find the first derivative of q(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 3*d**2\/2 + d + 38. What is k(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262897 is divided by 1467?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + y**2 + y**2 - 1)*(147 + 122 - 85) as c*y + g*y**2 + t and give t.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 = g - 2*d - 52, 0 = 2*g + d - 1287. What is the highest common divisor of 34 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -31*j - 2*k + 1664, 5*j - 2*k = 1027. Is j > 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40923 rounded to 2 decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzazzaazz. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425141?\nAnswer: 43, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*f**3 - 2*a*f*q - 2*a*f - a*q**3 - 237*a*q - 4117*f**3*q**3 - 2101*f**3*q + 3*f - 271*q**3 + q wrt q?\nAnswer: -6*a*q - 24702*f**3*q - 1626*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:02 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-8) + (-5)\/(-2). Let c(b) = 4*b**3 - 2 - t*b**2 + b**2 - 1. Let a(z) = 9*z**3 - 5*z**2 - 7. Let m be 10\/8 - 21\/(-28). What is m*a(w) - 5*c(w)?\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-22))\/((-48)\/(-727332)). Let y = r + 2758. Let k = -155279\/14 + 11083. Find the common denominator of y and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 - 7183*m - 115. Let r(y) = y**2 + 1197*y + 20. Determine -4*l(o) - 23*r(o).\nAnswer: o**2 + 1201*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 0.2 (c) -16 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 638522 or 638504?\nAnswer: 638522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/4 - 3*s - 22. Let k(r) be the second derivative of 11*r**4\/3 + 9*r. Determine d(k(q)).\nAnswer: -5808*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 1423 - 1353 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62837646, -62837648, -62837650, -62837652, -62837654?\n\"Answer: -2*m - 62837644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*s - 102*s - 1116. Suppose -149 + s = 5*y. What is the third smallest value in 2\/3, -2, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327753921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(30\/9)\/(-5). Let f(v) = -20*v + 5*v**2 + 11 - v**2 - v**2 + 14. Let w(c) = 6*c**2 - 41*c + 49. Let p(k) = o*w(k) + 5*f(k). What is r in p(r) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10)*(-1 + 1). Suppose w = 2*h - h. Suppose -j + 10 + 4 = h. Calculate the remainder when 26 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1 = -43. What are the prime factors of 25\/((-8)\/20 + t\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 906664561, 1813329123, 2719993685, 3626658247?\n\"Answer: 906664562*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w**2 - 3*w - 1. What is the remainder when j(-2) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3307451287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11126, -11116, -11092, -11048, -10978?\nAnswer: -10876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 10*g. Suppose 0 = 2*h + 4. Let o = g - h. Solve -4*f - 1 = 5*t, o*t + 9 = 3*f + 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 23*z**2 + 28*z - 58. Calculate b(24).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y**2 - 728*y + 444 = 0.\nAnswer: -37, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, -59, 4 in increasing order.\nAnswer: -59, -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 69*u**2 - 51*u + 646. Let y be s(35). What is the greatest common factor of 23134 and y?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - (4 + -6)) + (1 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17708 and 13747.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46267 * -4.\nAnswer: 185068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 (base 10) in base 3?\nAnswer: -101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1678361, 6713421, 15105181, 26853635, 41958777, 60420601, 82239101?\n\"Answer: -f**3 + 1678356*f**2 - f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/7 + 2728*t\/7 + 465124\/7.\nAnswer: 4*(t + 341)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 + 221 - 14*j - 11*j.\nAnswer: -25*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2116154307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 209 = -51*x, 5*x + 38*d = 74*d - 41*d + 55 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -309819 - -87678891\/283. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 8. Let v(c) = -3*c**2 + 1. Let z be v(j). Calculate the lowest common multiple of 8 and 0 + z + (-19 - -73).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41229?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 6. Let m(x) = -2 - 1 + x + 2 - 2. Let p be m(7). Give n(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + 3*m)*(2*m + 2 - 2) - m**2 + 4*m**2 - 5*m**2 + 4 + m**2 - 4 + 2*m**2 + 1 - 1 + 7*m**2 - 6*m**2 + 2 - 3*m**2.\nAnswer: -5*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**9*s*s*s\/((s\/(s\/s**9))\/s)*s)**(39\/4)*((s**5\/s)\/s*s\/s**(-7))**36 assuming s is positive.\nAnswer: s**(909\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)\/a)**(-28)\/(a**(-1\/2))**(18\/5) assuming a is positive.\nAnswer: a**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19524 to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 27*x + 12. Let m be c(-13). Let g(t) = t + 1. Let y(n) = -15*n + 3. Give m*y(d) + 3*g(d).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.603326 + 0.048574. What is a rounded to 1 decimal place?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 19 - 11) + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cb + 639d?\nAnswer: 5ec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102897895 to the nearest integer?\nAnswer: 10144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0 + 3 - 4. Let b(d) = -3*d**2 + 1. Suppose -848 = 39*n - 887. What is n*b(a) + h(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.57 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 i when three letters picked without replacement from xbxcxxixiixxxixbx.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/561 - 1334\/29733. Put 1\/2, v, 0, 0.2 in descending order.\nAnswer: 1\/2, 0.2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {e: 2, l: 4, w: 3, r: 4, m: 1, j: 1}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 377588 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-107 + 107)*1\/(-3)*1. Let v(f) be the second derivative of s*f**2 - 5\/3*f**4 - 4\/3*f**3 - 8\/15*f**6 + 14*f + 0 + 11\/5*f**5. Factor v(h).\nAnswer: -4*h*(h - 2)*(h - 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40695, -81174, -121437, -161484, -201315?\n\"Answer: 108*q**2 - 40803*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - z - 2*z**2)*(6*z - 28*z - 2*z) + 0*z**3 - 5*z**3 + 4*z**3 to b*z + t*z**3 + r + j*z**2 and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213950016 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 - -135. Let a(y) = -y**2 + 14*y + 8. Let j be a(13). Suppose -w*h + 240 = j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**3 - 3*g**2 - 9*g + 7. Let d(u) = -u**2 - u + 1. Let k(y) = 6*d(y) - q(y). Is k(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) 0.5 (c) -677\/2 (d) 0.06 (e) 0 (f) -42\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 3*i + 4. Let p be y(-4). Suppose 34*g - 8 = 32*g. Solve p = -r - g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154118?\nAnswer: 2, 263, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/3514880 and 187\/2636160.\nAnswer: 10544640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -372528 rounded to the nearest one thousand?\nAnswer: -373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*w + 10806, -2*s - w = 3285 - 14087. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*i + 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -5*s - 135. What is the remainder when 161 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*h = -10 + 24, 3*g - h = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -127*i - 361 + 488 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -4*a - 0*a + 5*r, 3*r - 90 = -3*a. Suppose -5*q - 3*h = -3*q - a, -h = -2. What is the remainder when 32 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-23)*i)\/i**(18\/7))\/(i\/(i*(i*(i\/(i\/i**(1\/11)))\/i)\/i))**(-24))**(6\/19) assuming i is positive.\nAnswer: i**(-1272\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2066093 and 723?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 + 300. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.08, 1\/6, 0, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or -1476\/11?\nAnswer: -1476\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*z + 142 = -16598, -3*z = 4*j - 13419. Suppose -7*o + 34239 = -j. What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(-2*sqrt(12)) + 0.\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 435000. Let g be v(0). Suppose 0 = -17*t + 14*t - g. Round t to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10949, 15341, 19733, 24125, 28517, 32909?\n\"Answer: 4392*z + 6557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 101c2d + -39?\nAnswer: 101bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or 1?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-220)\/16 - (-2)\/(-8). Let n = c - -34. Suppose 4*u - 28 = -n. Calculate the least common multiple of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2675 by 8.\nAnswer: -2675\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**7*a*a)\/a**(-3\/17) assuming a is positive.\nAnswer: a**(173\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81*16\/72)\/((510\/20)\/(-17)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2. Let o = -63 + 65. Let v be 8\/(-28) + (-5)\/7 + o. Calculate p(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 10149144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*a = -28 + 88, 0 = -4*t + 3*a - 88. Let l = t - -18. Is (14 - l)*(-214)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1573) - (4 + sqrt(1573) + -2)) + -5 + sqrt(1573) + -2) + 5)**2.\nAnswer: -1012*sqrt(13) + 6821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11643 (base 8) to base 16.\nAnswer: 13a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 0)*(383 + 605 - 1407)*(52 - 52 + f**3 + 4*f) to the form r + n*f**3 + g*f**2 + o*f and give n.\nAnswer: 1676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98864 is divided by 24673?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 70. Let u = -86 + r. Let c = -64.3 - u. What is c rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 3, -18, -59, -126?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218*a - 2024 - 2757 + 859 + 2405*a wrt a.\nAnswer: 2187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:44 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 + 6 = 0. Suppose 0*m - m = -n. What are the prime factors of 37\/m*61 - (-12)\/54?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -392326, -392462, -392598, -392734?\n\"Answer: -136*b - 392190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r - r. Suppose 35 = r*q + 2*q. Suppose -5*o - 5 = 5*z, z - q = -0*o - 3*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:31 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*o - 5)*(5 - 2 - 1) - 5*o + 5*o - o + 0*o - 4*o + 6*o - 2*o - 4*o + 4*o + 2*o - 3*o + 2*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = -493*z + 497*z - 99, -z - 25 = 4*z for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 686*n**2 - 3438*n - 22282. Calculate s(-681).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 24 = -6. Let l(n) = -2*n**3 + 3*n**2 + 3*n + 2. Calculate l(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -108. Suppose -59*a + 64*a - 830 = s. Suppose -j - 5*h = -a, 4*h + 117 = 3*j - 362. List the prime factors of j.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - s**2. Let x be o(0). Suppose -j + 5*j - 12 = x. Suppose 3*f = 3*h + 18, f + 2*h = -j*f + 54. Calculate the remainder when 32 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 36 = -9*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-15)\/(-6) + -2). Let m be 5\/2*(0 - u). Solve -m*w + 23 = o, -3 = 3*w - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6567308.7 * 0.4\nAnswer: -2626923.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*(-1)\/(-18)*-6.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*k**4 + 68*k**4 - 151*k**4 - 200*k**4 - 340 with respect to k.\nAnswer: -944*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 253605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x + 2*x**4 - 3*x**4 + 160*x**2 + 11*x**4 + 30 + 90*x**3 - 5*x**5 + 72*x = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*r**2*s*v**3 + 14*r**2*s*v**2 + 10*r**2*v**3 + r**2*v + 2*v wrt s?\nAnswer: 10*r**2*v**3 + 14*r**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 637 or 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13*(-10 + 16\/(-32)*6\/(-1)). Put j, -1, 3 in ascending order.\nAnswer: j, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = 2*h, 2*h + 9 = 3*o - 7. Let b(a) = 32*a**3 + a**2 + 4. Let r be b(-2). Let x = -246 - r. Solve -3*v + x = -o*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(20) + sqrt(2880) + sqrt(2880) + sqrt(2880)*2 + sqrt(2880))) + sqrt(60)\/sqrt(3)*-4)\/(sqrt(80)\/sqrt(2)*3).\nAnswer: -32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/165 + 2\/10*2. What is the closest to -1 in 3, 6\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2\/57, -0.01, -0.02?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 37*b + 171*b - 2*b**3 + 53*b + b**3 as q*b**2 + m*b + f*b**3 + t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12212 + 0?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.1873457 to 1 dp.\nAnswer: 57.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2529 and 22199?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(66)\/sqrt(6) + (sqrt(11) + 2 + -3)**2 + (4*(sqrt(77) + (-2*sqrt(77) - sqrt(77))))\/(sqrt(1008) - sqrt(1008)*1 - sqrt(1008) - sqrt(7)).\nAnswer: -5*sqrt(11)\/13 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -4\/3, 4\/3, 512?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:21 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53459 is divided by 198?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, k: 1, c: 5, f: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/(1\/(-10)). Let g(k) = k**2 + k + 1. Let r(y) = 3*y**2 - 2*y + 3. Let b(n) = -4*g(n) + r(n). Give b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93853 is divided by 512?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from gnxlulunusns?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586971803?\nAnswer: 11, 29, 727, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0044542 - -13.0044367. Let q = 2.7 + -14.7. Let x = q + h. Round x to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -745255 > -745438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l**2 - 3. Let u be r(0). Let p be 1\/(0 - u\/(-84)). What is the units digit of p\/(-3) - 2\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -281*u**2 - 119839*u - 7465*u**2 + 119838*u - 230 - 7188*u**2 wrt u?\nAnswer: -29868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36433533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.8 (b) -11 (c) 4 (d) 1\/4 (e) -30 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -140*a + 332*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019572.2 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -6 + (-3 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(4\/5)\/r)\/r)**(-7\/6) assuming r is positive.\nAnswer: r**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-493)\/(-85) + (-20 - -5)\/3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3425 + -1210?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -29. Let i = -17 + c. Calculate the remainder when 15 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12554 - 0.4.\nAnswer: -0.27446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 0*x - 1 - 4*x + 2. Let z be i(1). Let a = 39 + z. Calculate the greatest common divisor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6900, 27338, 61316, 108834?\n\"Answer: 6770*y**2 + 128*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 133644\/18060 - 54\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 2496, 6186, 11998, 20304, 31476, 45886?\nAnswer: 63906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 505, 859, 1355, 1993, 2773?\nAnswer: 3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 902360 and 5440.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6660 divided by -2\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21867589*g**5 - 19938103*g**2?\nAnswer: -1312055340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 41\/2 of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, 797, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 456 divided by 76\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*3162\/68. Sort 1\/7, m, -0.2 in decreasing order.\nAnswer: 1\/7, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z - 11*z + 7*z)*(-138 + 428*z**2 - 30 - 427*z**2) as o*z**2 + p*z**3 + a + m*z and give m.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 14. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-2)\/(-2) + 1. Suppose f*l - 94 = l + 5*w, -5*l + w = 340. Let u = -48 - l. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-102)\/20 + 7\/70)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 1 r when three letters picked without replacement from pmmllmmmrelul?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) + -3*sqrt(225)*2 - sqrt(225))\/(sqrt(108) + 1*sqrt(108) + sqrt(108) + (sqrt(147) - sqrt(147)*-1 - sqrt(147)) + sqrt(147)).\nAnswer: -15*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9069484 to the nearest integer?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 4\/3, 0.5.\nAnswer: -3, -0.3, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 1. Let w(l) = 8*l - 7. Determine 6*s(m) - w(m).\nAnswer: -2*m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*7*-60*40\/(-50400)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 536*k. Let n(q) = 7*q. Determine b(n(s)).\nAnswer: -98*s**2 + 3752*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 175*v - 644. Calculate k(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 793776.4 - 793785.4000024. Let p = 0.1 + 8.9. Let w = p + k. What is w rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25452)\/(-4545)*220\/(-16)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/11, -1\/5, -1\/2, -90\/7, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446612353 to the power of 1\/2, to the nearest integer?\nAnswer: 38034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - 34?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8417 at least -8439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 3. Let z be a(2). Suppose 5*r + 164 + 132 = y, -2*r - 136 = 4*y. Let x = r - -68. Solve u - x = -z*g - 1, -3*g = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 9*b - 8. Let j be (3 - 2) + (-2 - -10). Let u be w(j). List the prime factors of 12\/6 - (2 + u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 315*w**3 + 314*w**3 - 623*w**3 + 2*w + 13*w**2 to q*w**2 + z + j*w**3 + k*w and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 47220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 123391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4075000 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Suppose -2*s = 4*i + 6 + 48, 5*s - i = -113. Let g = s - -37. Calculate the lowest common multiple of r and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 14)\/(2\/(-6)). Suppose -5*u = -2*o + 11, 2*o - 3*u = -2 + 11. Calculate the greatest common factor of o and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 115*p**2 + 1668*p + 194. Give g(-98).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 0.242, 2, 5 in decreasing order.\nAnswer: 5, 2, 0.5, 0.242, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -32. What is the units digit of 4\/(-1)*(-196)\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - a)*(-2917 + 2917 + 67*a).\nAnswer: 67*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -737744 by 11.\nAnswer: -737744\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/7 - 2\/(-70)*-10. Suppose 5*p - 27 = 4*i, i = -4*p - 0*p + 9. Let k = i - w. Solve k*m + 4 + 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 28 = -0*k. Solve -k = 4*h + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 212*g - 6*g**2 - 1 - 103*g + 143*g to the form x*g + y + m*g**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 5*p + u - 568, p + 3*u - 177 = 0. Suppose 3*g = p + 1296. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1538*m**2\/9 - 2390*m - 308\/9 = 0.\nAnswer: -11\/769, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/30430 and -209\/75180.\nAnswer: 1278060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2\/7)*m\/m**22 assuming m is positive.\nAnswer: m**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 3 + 5 + -2. Suppose 4 + 2 = d - y*u, d - u = 4. Let w(x) = x**3 + 2*x**2 - x - 2. Let o be w(-1). Solve -12 = -o*j + d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15671 + 2576 = 9*n. What is the tens digit of 2*(-2)\/(-5)*n\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616819900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205312*n**3 - 5*n - n + 205315*n**3 + 6*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 3. Let s(n) be the first derivative of 0*n**2 - n + 0*n**3 - 1 - 1\/4*n**o. Differentiate s(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -211447?\nAnswer: 211442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16*q - 14*q = 0. Suppose 3*y - 5*w - 38 = q, -4*y = w - 29 + 9. Solve -10*h + 20 = -y*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 j when four letters picked without replacement from {n: 1, j: 4, v: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -8, -13, -10, 7, 44, 107, 202?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 13 = -2*g, -3*a - 4*g = -19 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/20 + 4*p**4\/3 + 3*p**3 - 11*p**2 + 1029*p. Determine g(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 372, -4, -2, 4, -3 in descending order.\nAnswer: 372, 7, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 43*u - 12*u.\nAnswer: 31*u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(-69)\/115?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -487, -702, -917?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 2, -2\/7, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18097907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 32*w**2 + 38*w - 224. What is n(31)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (6 - 20) + (2 - -34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 397\/20 + -677\/36. Let m = u + -14\/15. Let n = -0.131 + 1.131. Which is the nearest to n? (a) 4 (b) -1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -848 - -12217?\nAnswer: 11258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 77*n**2 - 897*n + 1550. Give y(-62).\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 2, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 52. Let s = -10 + 7. What is the smallest value in s, m, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4, a = 3*l + 2*l - 7. Suppose -a*m + 45 = -6*m. Calculate the remainder when 2 is divided by 1 - 3 - m\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 = 0, -4*t - 2*u - 16 = 2*u. Sort 2, -2, 5, t, 4.\nAnswer: t, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 306297 and 215255.31.\nAnswer: 521552.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8*x = 0. Put x, 1, 3 in ascending order.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 71 - ((-2)\/(-3))\/((-17)\/(-51))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = a + o, -3*o = -3*a - 0*a - 15. Suppose -l - 3*u - 6 = -7*u, a = -2*u + 4. Let k be ((-3)\/6)\/((-3)\/12). Solve l + k = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35*b + 276. What is i(9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1))\/(-28 + 27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7074 divided by 18\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*t + 5*n, 5*t + n + 4*n = 105. Factor 13*g**3 - 12*g**3 - 1 - 8*g**2 - 9 - t*g.\nAnswer: (g - 10)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 312, 615, 918?\n\"Answer: 303*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/32*94 + 42\/336. Suppose q*n - 69070 = 48068. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -41, -97, -175, -275?\n\"Answer: -11*x**2 - x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138 + 70 + 4942*x + 5048*x + 68 to m*x + j and give m.\nAnswer: 9990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-13)\/(468\/(-116)))\/2)\/((-123)\/(-2214)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*q - 82, 3*q = 5*z + 5*q - 217. Suppose r - 536 - z = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -10 + (-20 + 2 - 4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39973 + 49066. What are the prime factors of z?\nAnswer: 3, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 100*t**2 - 13. Let d(p) = 3341*p + 1. What is d(u(v))?\nAnswer: 334100*v**2 - 43432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 6. Let y be 5*(-4)\/(-90) - (-52)\/9. Let l be i(y). What is the third derivative of 7*k**2 + l*k**2 - 3*k**2 - 2*k**2 - 16*k**4 wrt k?\nAnswer: -384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*x - 3 = -0, -3 = 3*d - 3*x. Suppose d = -v + 3, 4*w + 0*v = 2*v + 806. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 85, 118, 159, 208, 265?\n\"Answer: 4*q**2 + 13*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 34*j - 21. Let u be z(-21). Let l = -154 + u. Let o = 66\/13 - 436\/91. Which is the nearest to 0.1? (a) o (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 + 23*b - 7213. What is o(-53)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010111010 (base 2) to base 6.\nAnswer: -20414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1268665\/13 or -97589?\nAnswer: -1268665\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.3. Let r(b) = b**3 + 24*b**2 + b + 29. Let w be r(-24). Let x(o) = 4*o**2 - 14*o - 27. Let t be x(w). Sort 2, m, t, 0.4 in ascending order.\nAnswer: m, 0.4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:28 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 3124710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3291 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*m - 16 = 0, 0 = -4*k + 7*k - 5*m + 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 1 - 2419*y**2 + 3 + 2418*y**2 in the form k + u*y**2 + g*y and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3))**22*(r*r**(2\/25))**(-17))**46 assuming r is positive.\nAnswer: r**(-113942\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -170495 at most as big as -170495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a**3*n**3 - 190*a**3*n - 2*a**3 - 21*a**2*n**5 - a*n wrt n?\nAnswer: -60*a**3*n - 420*a**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -7*j + 60. Suppose -j = -11*w + 6*w, 0 = y + 2*w - 15. Solve 29 = -6*p + y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 129714 = 25*f. Does 96 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 238942619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*325\/650?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 181 + -1?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 93, 138?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -51*s. Let j(h) = h**2 + 65. Determine j(q(r)).\nAnswer: 2601*r**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - (-2)\/4. Suppose -j + 5*j - 20 = y. Suppose j*v = 3*t + 154, 3 = t + 1. Calculate the highest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2865269?\nAnswer: 11, 101, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/6, -5, 3, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {s: 2, j: 2, d: 4, w: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233 - 215. Suppose 4*g + 32 - 176 = 0. Let b = g - -12. Calculate the remainder when b is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-2)\/4). Suppose -20*d + 5 = -19*d. Suppose l*r - d*r = 0. Solve -5*h = r, -5*g = 3*h + 2*h + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47019662, -47019685, -47019720, -47019773, -47019850, -47019957, -47020100, -47020285?\n\"Answer: -z**3 - 16*z - 47019645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from evvwvwwwvvv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 + 13*x - 5. Let p be b(-7). What is 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 = 171881\/185955 + 10\/3381. Is r not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 4 (c) 1 (d) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**2\/2 - 8*u - 1. Suppose 79 = 6*r - 89. Suppose 3*d - r = -d. What is m(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1636700 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24515 (base 9) to base 15.\nAnswer: -4d22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -200970589\nAnswer: 200970588.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let r(a) = 0*a - 1 + 2*a - a. Let j(n) be the second derivative of -5*n**3\/3 + 11*n**2\/2 - 6*n. Let c(b) = 2*j(b) + 22*r(b). Give q(c(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -518 - -517.6. Let n = 0.1 - r. Which is the biggest value? (a) n (b) 4 (c) 14 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/167 in 28, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 13. Let d = b - 8.9999956. Round d to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022222101221 - -1211?\nAnswer: -1022222100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*-3*(-8)\/36. Let p(j) = 2*j**3 + 4*j + 5*j**2 - 10*j**3 + 9*j**3 + v. Give p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23172 not equal to -32571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5346, -10549, -15778, -21039, -26338?\nAnswer: -31681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1465\/(-586)*30\/3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 11*y**2 + 193 + 19*y + 3*y**3 + y**3 - 205. Let f be z(9). Do f and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5046)\/145)\/29)\/27.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22213 + 22372. What is the nearest to -2\/7 in -4, -5, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -182. Suppose -h - c = -2*h - 2*p, 345 = 3*h + 5*p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 85. Let s(a) = 14*a**2 + a - 2. Let f be (-567)\/(-504) + (-2)\/(-16)*-1. What is the remainder when t is divided by s(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 18528492019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*x**4 + 70*x**3 + 3*x**2 - 39*x**3 - 37*x**3 to the form o*x**2 + k*x + v + r*x**3 + i*x**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -389 + 401. What is the highest common divisor of 42 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 72. Calculate the lowest common multiple of o(14) and 7.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*n - 152, 4*n + 2*o = 9*n - 191. Suppose 3*v - 15 = -3*b, -4*v + 5*b + n + 8 = 0. Calculate the smallest common multiple of v and 32\/6 - 2\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -52. What is the least common multiple of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173366512?\nAnswer: 2, 11, 179, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/3 + 3*n. Let w(s) = -s. What is r(w(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 8 = -3*y, 5*y - 257672*m = -257676*m + 10 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(16\/1130) - -3. Let z = -259\/2 + s. Suppose -2*q + 421*f - 425*f + 32 = 0, 0 = 4*q - 3*f - 64. Does z = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 5916505?\nAnswer: -5916504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/11))**10)**(-17) assuming x is positive.\nAnswer: x**(340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/95 + -3\/38. Let b(v) = -v**2 - 6*v + 3. Let c be b(-6). Put f, 4\/3, c in increasing order.\nAnswer: f, 4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:41 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 5. Let k be q(2). Let j be ((-135)\/6)\/k - 1. Let s be (2 + (-7)\/3)*-3. Is j > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 6387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-6)*8\/(-6). Let g = 0.02 - -0.48. Let y = 186566\/155455 + -4\/31091. Sort d, g, 0.3, y.\nAnswer: d, 0.3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -625*l + 380*l - 450*l in the form k + u*l and give u.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16312984*b**3*k*l**3*m + 3*b**3*k*l**2 - 2*b**3*l**2*m - 4*b**2*l**2 - 2161*b**2*l*m + b*k*l**3*m - 2*b*k*m - b*m wrt l?\nAnswer: 97877904*b**3*k*m + 6*b*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - ((sqrt(209) - sqrt(209)*-1) + sqrt(209))*3 - sqrt(209) - sqrt(209) - sqrt(209))*-6)\/(4*sqrt(22)\/sqrt(2)*3).\nAnswer: 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -31*f + 103. What is the lowest common multiple of f and 1798?\nAnswer: 8990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 100, 64, -8, -128, -308?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*d - 22 = -u, 0 = -4*u + 5*d + 4. Let r = u + -4. Let w(n) = -3*n**r + 2*n**2 + 0*n**2. Let s(j) = 3*j. Determine s(w(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1555155 + -4515?\nAnswer: 1550440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-297)\/(-36)*112\/84?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 2:03 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(363) - sqrt(21)\/sqrt(7)*-1 - (sqrt(288)*-2)\/sqrt(6)*-3)**2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -170*n**2 + 2. Let p(t) = 8*t. Calculate p(g(j)).\nAnswer: -1360*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 29. Suppose -p + m - 18 = 0. Which is the third smallest value? (a) p (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 - 2*m**2 + 6 - 18*m**3 + 6*m + 11*m**3 - m**2. Let f(v) = 140*v**3 - 119*v**2 - 119*v - 119. Give 6*f(j) + 119*q(j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 greater than -1231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Let q = -51 + 54. Suppose -q*o = -2*s + 1, -14 = 2*s + 3*o - o. Which is the smallest value? (a) 2\/9 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, -5, -0.8, 3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 637908 and 6018.\nAnswer: 637908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/156 + (-23)\/(-60))\/((-23)\/(6 - 466))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 5*g**2 + 7*g - 1. Let i(d) = 10*d**3 + 14*d**2 + 22*d - 3. Let a(n) = -2*i(n) + 7*q(n). Determine a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232598767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {p: 4, k: 5, x: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 770.29 and 53 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/4*(-2700)\/495. What is the highest common factor of c and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -6 + 16)\/2. Which is the nearest to 1\/3? (a) 6 (b) i (c) 2\/101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20212c + 4?\nAnswer: -202128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/19 and -20\/2091.\nAnswer: 39729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 - 13*d**3 + 213*d**3.\nAnswer: 193*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/(1\/(-11)). Suppose m + 5 = 2*z. Let o = 655 + -641. What is the remainder when o is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 + 5*c - 7. Suppose 0*z + 4*p = -3*z + 29, 0 = -3*z - 5*p + 34. Is d(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 5338?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 8 (c) -6\/11 (d) -162 (e) -8 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209518, -209553, -209614, -209701, -209814?\nAnswer: -209953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + 4*3*sqrt(143))*-3*-4)\/((5*2*sqrt(132))\/((sqrt(60) + 2*sqrt(60))\/sqrt(5))).\nAnswer: 234*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*2*(-10)\/(-28)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)*g*g\/(g*g*g*g**(2\/21)*g*g*g) assuming g is positive.\nAnswer: g**(-422\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1389 - 1366. Calculate the remainder when 1355 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmtt when four letters picked without replacement from mtmtmtm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*h - 16, 2*x + 1506*h + 9 = 1523*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5728925839 to the power of 1\/4, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 92.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71248 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.508 + -46.7345?\nAnswer: -62.2425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 8 + 3 = s - 10, 79 = 5*s + p for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 7*t**2 - 4*t - 4. Let v be x(6). Solve 3*k - 11 = s, 3*s - 3*k + 13 = -v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-10)*1075\/(-172)*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528333285 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 5146047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.234 + -0.766. What is the closest to 2 in 0, -0.3, -0.2, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(-705) + (-2)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from tmmmmttmttmmtmmttttm?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -2\/5, 0.4, 2\/9, 1351?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*g = -54, -3*g = 350*s - 347*s - 33 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 31*v - 216. Let x be l(7). Put 41, x, -5 in increasing order.\nAnswer: -5, x, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0*y**6 + 0 + 1\/3*y**3 + 0*y**5 + 0*y**4 + 0*y**2 + 1\/42*y**7 - 6*y. What is the second derivative of v(u) wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -1\/7, -0.017, 32 in increasing order.\nAnswer: -1\/7, -0.12, -0.017, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.3 (c) -154 (d) 1\/101 (e) -0.1 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 717990 and 445785.\nAnswer: 81132870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*c - 5*c - 25*c**2 - 16*c to o*c + a + w*c**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juc when three letters picked without replacement from {t: 6, u: 2, c: 3, j: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Let p = -1\/15 - 3\/5. Which is the third biggest value? (a) d (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 105 + 175*z**2 - 1)*(-55 + 55 + 8*z)*(5 - 1 - 3).\nAnswer: 1400*z**3 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + (-13)\/((-117)\/552). Let n = x + -59. Suppose -2*q = 2*y - 18, -q - 1 + 4 = -n*y. What is the remainder when 25 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*r - 2 - 12*r - 8*r)*(-2*r**3 - 4*r**3 + 4*r**3) + 11*r**4 - 20*r**2 + 20*r**2.\nAnswer: 9*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1795\/49 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/261 - 1034\/1305. Let o = 29.52 + -26.52. Which is the biggest value? (a) 3\/2 (b) m (c) 1\/3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 826226.5ng?\nAnswer: 0.0008262265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/4 + (-13)\/26. List the prime factors of (-78 - z)*1\/(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1218\/(-140))\/29 - (21 - (-8577)\/(-90)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24989757 divided by 3?\nAnswer: 8329919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 35 - (-3 + 4 - (4 - -9)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h + 6. Let n(f) = -65*f - 35. Let i(b) = 35*k(b) + 6*n(b). Let s be i(-2). Calculate the greatest common divisor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)**(-19)*b\/b**(3\/8)*b**(-3\/5))\/((b**(-2))**(11\/4))**(6\/19) assuming b is positive.\nAnswer: b**(1339\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 114, 115, 128, 159, 214, 299?\n\"Answer: u**3 - 6*u + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhhh when four letters picked without replacement from nzohhonlhhnzlzhzhh?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 43. Let u be h(-8). Suppose -2*t = -2*m + 20, 5 = -u*m + 5*m + t. What is the closest to 2\/3 in 3\/5, m, 2\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 51?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 5:10 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1707546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39236\/24297 - 1\/1869. What is the common denominator of (-44)\/66*279\/8 and o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51090 rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-11))\/(1490\/8195)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.0468905?\nAnswer: 0.2344525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.33 (b) 0.36 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/25 or 0.3863?\nAnswer: 0.3863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3 = 0, -1 = 2*k - 3*r - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 3*y + 1. Let k(i) = 6*i**3 + 31*i**2 + 17*i - 26. Give 5*c(x) + k(x).\nAnswer: x**3 + 31*x**2 + 2*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7224949467 to the nearest integer?\nAnswer: 85000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5063 + 5062.784. What is the biggest value in -2\/5, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 701\/4 + -175. What is the smallest value in f, 2, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(9\/(-6) - 0). Suppose -2*k + 624 = -5*l, -i*k - 44 = l + 88. Does 8 divide 2\/(-5) - l\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6147427 to the nearest 10000.\nAnswer: 6150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1360*k - 239*k - 39326 + 38666 wrt k.\nAnswer: 1121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -j - 2, 0 = -2*d + 3*j - 2*j - 13. Suppose -5*r = -3*i - 91, 0 = 6*i - 2*i + 8. Let w = d + r. What is the remainder when 22 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let v(l) = -10*l - 54. Let a be v(-7). Suppose a*k + 92 = 17*k. Let x(j) = -k + 92 + 8*j. What is x(r(d))?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -13, 0.2, 1\/68?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 - 116. Suppose 27 = 4*i + h. Let r(o) = o - 11. Determine r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1268\/36 - 4\/18. Suppose -y + z = 4*y. Calculate the least common multiple of y and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 207. Give u(-35).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 689 and 223925?\nAnswer: 223925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -842?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74408 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1594 - 14*z**2 - 3*z**6 + 1594 wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 12*j = 22599489 + 20902811. Round j to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/20 + -22)\/((-14)\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/696 and -107\/3480.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4321\/260 + 83\/5. Let u = 625 - 626. Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317695 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 8. Suppose 0 = -u*a - 3*o + 10, 4*o + 2 = -a - 2. Suppose 2 = 2*r - 4. Solve -16 = r*t - 2*d, -a*t + 0*d - 24 = -4*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 9, -10, -63, -162?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3740104.\nAnswer: 2, 53, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 20 = -2*n - 2*s, 4*s = 3*n - 23. Let g = -4 + n. Let d be (38\/(-4))\/(12\/(-6)). Is d < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1\/(-2))*2. Suppose 0 = v*n, -8*t + 2*n = -3*t - 65. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189*o + 1180*o + 626*o + 154*o - 57*o)*(3*o - 2*o + 238 - 249).\nAnswer: 2092*o**2 - 23012*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1243438 (base 9) to base 2\nAnswer: 10100101100110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Let k be (z\/4)\/((-5)\/(-20)). Let u be 1\/3 + (-1)\/(-3). What is the second smallest value in k, u, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 4, -48, -156, -338, -612, -996?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**5\/5 - 753*p**2 - 1187*p + 565. What is the first derivative of y(f) wrt f?\nAnswer: -4*f**3 - 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545341\/28 - -19473. Let y = -2579 - -25731\/10. Find the common denominator of f and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 8*l + 9. Let m be c(-7). Let u(a) = a + 11. Suppose h + 22 = -3*b, 0*b - 2*h = -b - 12. Let g be u(b). Is m <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 662, 3\/7, 1\/4 in ascending order.\nAnswer: 0.1, 1\/4, 3\/7, 662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 + -223. Let v be (-138)\/(-42) - (-10)\/b. Solve 2*h = v*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 3998374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043755444 rounded to 4 decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*q + 4. Suppose n - q*n + 2*r = -10, 3*n - 9 = -r. Solve h + 0*h = n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 7*h = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.79 - 4.83. Let z = 4 + t. Let l(g) = -16*g + 177. Let o be l(11). Is o greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 5*d - 6. Let x(t) = -7*t**2 + 3*t + 2. Let w = -11 - -10. Let g be x(w). Let z be u(g). Solve z - 2 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1440?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -45826448300 to the nearest one million.\nAnswer: -45826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78012*g**3*q**2 + 4*g**3 + 516*g**2*q**2 + g**2 - 76*g*q - 2*q - 1705 wrt q?\nAnswer: -156024*g**3 + 1032*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2551 + 4017. Is 89 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + 71. Suppose -33*g + 299 = 2. What is the highest common divisor of g and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.99 - 0.01. Let m = -1.2 - w. What is the smallest value in -3, m, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 3 - 3)*(9*t - 12*t + 20*t) - 12*t**2 + 12 - 12.\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(c**2 - 4*c**2 + 2*c**2)*(-3*c**2 + 3*c**2 + 4*c**2) - 2*c**4 + 6*c**4 - 2*c**4.\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24018838.\nAnswer: 2, 12009419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 485379077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 divided by 1749?\nAnswer: -1450\/1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56342*v**5 + 5*v**4 - 712*v + 618.\nAnswer: 1126840*v**3 + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 243 = 5*n - 42, 0 = 2*p + 4*n - 12911 + 13071 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948537.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 492760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 - 12*r**2 + 1061*r - 14213. Determine s(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32098157557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 + 1?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0041 - -0.0531. Round t to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65490 and 567580?\nAnswer: 1702740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5512*k - 1719*k - 2071*k + 3065*k**2 - 1722*k.\nAnswer: 3065*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3269028 divided by 3\nAnswer: -1089676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 - 4*j + 2. Let u be g(4). Is 25 a factor of 31\/u + (-2)\/((-12)\/1083)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:07 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1921 from 1910.\nAnswer: 1909.8079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, -2, -17, -48, -101, -182, -297?\n\"Answer: -f**3 + f**2 - f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 10*c - 35 = 0. Let j(p) = p**2 + 8*p + 1. Let r be j(c). Let y(o) = -2*o**2 - 15*o - 15. What is the remainder when 3 is divided by y(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -5*u - 0*u, 9 = -4*t + u. Let a(i) be the second derivative of i**3\/6 + i**2 + i. Determine a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -9 - 11. Let j(v) = 9*v**2 + 17*v + 1. Let a(p) = 5*p**2 + 9*p. Let u(b) = d*a(b) + 3*j(b). Is u(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3.1, -4, -3\/2 in descending order.\nAnswer: 3.1, -2\/13, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/12)\/((-20)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/396)\/((-9)\/(-27)))\/(14\/(-24))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvwvvuuiwwv. Give prob of sequence ww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*m - 76 = 126*m + o, m - 16 = o. What is the greatest common factor of m and 1840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -73 + 78 + (-7)\/1. What is the nearest to c in 3, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10396, -19757, -29006, -38149, -47192, -56141, -65002, -73781?\nAnswer: -82484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-30))\/(2\/(-10)). Let o(p) = -p**3 + 3*p**2 + 2*p. Let z be o(k). Solve -2*l - 20 = -z*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/((-627)\/(-55))*(-2)\/(-10))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8759?\nAnswer: 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -972? (a) -1\/4 (b) -2\/7 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -61, -85, -125, -187, -277?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*a - 20. What is the tens digit of (a\/(-6))\/(10\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -799 + 832. Solve v + 10*v = -i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219*k**3*o**3 - 3*k**3*o + 3*k*o + o**2 wrt o.\nAnswer: -1314*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**8\/3360 - u**6\/720 + 3*u**3 - 19. Let d(s) be the third derivative of h(s). Determine g, given that d(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 3*c**2 + 59*c\/5 + 9.\nAnswer: (c + 1)*(c + 5)*(c + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 1, c: 6, p: 1, e: 3}. What is prob of picking 1 v, 1 c, and 1 e?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123013 - -1?\nAnswer: 1123020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 4 + 4)*(-5 - 1 - 1) + (3*f - 6 + 6)*(2 - 2 - 1).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.9248 - 4.8478. Let r = -89 + t. What is r rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 20*n**3 + 28*n. Let r(g) = 5*g**3 + 117455*g - 117456*g - 6*g**3. Calculate 3*q(s) + 84*r(s).\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + a)*(-4 - 9*a + 1 - 5).\nAnswer: -9*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -190306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b, 0*k - 2*b - 4 = -2*k. Suppose -5*o = 2*u + 96, -3*u - 2*u = 3*o + 50. Is ((-230)\/o)\/(k\/(-76)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*p = 5, 5*p - 13 = -5*t + t. Suppose 5*b = 5*n + 55, b - 31 + 0 = 5*n. List the prime factors of (-5)\/(-2) + t\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7939979121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(24\/(-6) + (-362)\/(-90)). Let o = m + -160. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(980) + 4 + (sqrt(980) - sqrt(980)*2).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 8*v - 6*v**2)*(9*v + 2*v - 86*v)*(0 + 3 - 2)*(0 + 3 - 1) - 3*v**3 + v**3 + 4*v**3 + (-2*v + 1 - 1)*(v**2 - 4*v**2 + v**2).\nAnswer: 906*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -33*j + 2108. Let g be c(67). Let o be -1 - -1 - (1 - 0). Sort g, -5, o in increasing order.\nAnswer: g, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -h + 1842, 3*h - 5532 = -11*s + 15*s. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j = 52*j - 15. What is the remainder when 28 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:06 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 4:24 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 14*a**2 + 16*a - 17. Calculate q(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 20 = 0, -5*n - l - 26 + 10 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**6\/12 + 17*v**5\/10 - 19*v**4\/4 + 587. Factor n(x).\nAnswer: x**3*(x - 2)*(x + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 11*g\/3 + 20.\nAnswer: -(g - 15)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -26*k + 13. Give g(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/10)\/(12\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -19*j**2 - 17*j + 17. Let m(h) = -6*h**2 - 6*h + 6. Calculate -4*b(s) + 11*m(s).\nAnswer: 10*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760 bigger than 3760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*k**2 - 6 - 4 + 3 + k**2 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n - m + 13, 0 = -5*n + m + 36. Suppose -n*x = 68 + 142. Let g be 2*(-4 - x\/4). What is the greatest common divisor of 56 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151ece (base 16) in base 11?\nAnswer: 865a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11557)\/3913 + 6 + (4\/(-1) - -1)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.035651, -0.2, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4281.17 and -3.14.\nAnswer: 13442.8738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, 6, -2\/17595, 0.05, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 1\/2*l**2 - 1\/2*l**3 + 5\/2*l + 3\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, i: 8, u: 2}. What is prob of sequence uu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -113204 (base 5) in base 14?\nAnswer: -1747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:38 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 31\/5, -0.4, 2.7, 2, -26\/7?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21030 and 0.4.\nAnswer: 8412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 4*t**2 - 6*t + 3. Suppose 0 + 16 = 4*h. Let c be f(h). Suppose -5*p - 3*i = -77, -4*p + c = -4*i + 7. Solve 3*g + p = -2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s + 2*o + 24, -2*s + 15 = o. Sort 2, -12, s in increasing order.\nAnswer: -12, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 8:27 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0. Let z = 13 + -17. Which is the smallest value? (a) z (b) p (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 + 3*t**2 - 3. Let x(z) = -3*z**3 + 4*z**2 - 3. Calculate -5*n(u) + 4*x(u).\nAnswer: -2*u**3 + u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301090.\nAnswer: 2, 5, 7, 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-896 + 204 - 429 - 193)*(3*j**3 + 2*j**3 - 4*j**3).\nAnswer: -1314*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -606, -1369, -2438, -3813, -5494, -7481?\nAnswer: -9774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -11, -2, 2, -15 in descending order.\nAnswer: 2, -2, -11, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.15 - 1.15. What is the biggest value in l, 4\/5, 2, 0.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8403201207168149 + -8403201355064392.69999946. Let r = -147896246 - l. Let a = r + 2.3. Round a to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3)*-1*1. Let a = -274 - -281. What is the highest common divisor of h and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1 (c) 10 (d) 1\/72 (e) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-2)*(9 - 11). What is the first derivative of -4*p**4 - s*p**2 + 5*p**2 + 8 + 0*p**2 wrt p?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 476 + -409.9. Let p = n - 62. What is p rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + 573. Let h = b - 405. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)*w*w**(-3\/5)*w**(1\/5)*w*w**(1\/6))\/(((w\/(w\/(w\/w**(-4\/7))*w))\/w)\/((w\/w**(2\/13))\/w))**19 assuming w is positive.\nAnswer: w**(19853\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2 + 8*r**2 + 1 - 8*r**2 + 17*r - 2*r**2. Let c be x(7). Solve 0*q = 4*q - c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172.628 + 173. Let b = 84.53 - 85. Let q = b + r. What is q rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {x: 1, b: 1, j: 1, c: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1942 = 1975. What is the remainder when (655\/25 - 3)*(-10)\/(-4) is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {u: 2, f: 9, x: 8}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**3*j*m + 2*d**3*m**2 + 16*d**3 + 2*d*j*m**2 + 14*d*j*m - 2*d*m - 13*m**2 wrt j?\nAnswer: -4*d**3*m + 2*d*m**2 + 14*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15\/4 + -4. Which is smaller: b or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 34 = -2*q, 5*u = 7918*q - 7919*q + 65 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbbq. What is prob of sequence cq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-1)\/(-2)*4. Let g be ((-8)\/7 + 1)*n. Let c = -102.2 - -102. What is the third biggest value in c, g, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:54 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 27 = q + 2*w, -43*q + 403 = -46*q + 19*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1 - (-3 - 4). Let l(v) = -v. Let m(k) = -14*k + 10. Let u(g) = 4*l(g) - m(g). What are the prime factors of u(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, b: 1, r: 4, p: 2, a: 2, j: 2}. Give prob of picking 1 p, 1 n, 1 b, and 1 j.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308\/56 - (-6)\/((-60)\/25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 358383738*m**3 - 32891158*m - 5?\nAnswer: 2150302428*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - z - 4*z)*(64 - 23 - 36) as t + j*z and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1976*u = 349*u + 827*u - 40000 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + -2 + -5 + sqrt(117) + 0 + -2 + 2)**2.\nAnswer: -66*sqrt(13) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664*h - 674*h = 0. Let w = 12\/11 + -1. Let q = 1 - 1. Which is the closest to h? (a) q (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 696453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 24146*j\/9 - 241660\/9.\nAnswer: 2*(j - 10)*(j + 12083)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131744872 a multiple of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138\/5 - -28. Let l be 1\/4*(-1656)\/126 - -3. Which is the closest to -0.1? (a) 2 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/1379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -142, -578, -1274, -2206, -3350, -4682?\n\"Answer: 4*u**3 - 154*u**2 - 2*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(27\/2)*k*((k**(-10)\/k)\/k*k)\/k*k*k\/k**(-2\/5) assuming k is positive.\nAnswer: k**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*q**4 - 11*q**4 + 8*q**4 - 25*q**4 + (43*q**3 + 52*q**3 - 104*q**3)*(-11*q + 9*q + 6*q) to a*q**4 + r*q**3 + b*q**2 + t*q + v and give a.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 118030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 9904*u**2 + 0*u**3 - 8*u**3 + 4*u**3.\nAnswer: -4*u**3 + 9904*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.048137 + -0.048. Round d to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-817)\/(-2451))\/(1\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*t**3 + 2*t**2 - t - 6 + 9*t**3 + 35*t**3 to the form s + d*t**3 + r*t + g*t**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 465\/(-300)*1 - ((-21)\/(-30) + -1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukxuxq. What is prob of picking 1 q and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8328.8 rounded to the nearest one hundred?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 14 = -2*g - 8, 0*g = -3*g - 6*m - 36 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 461*b**2 + 23*b**3 - 197*b**2 + 76*b - 262*b**2 - 3 in the form j*b**3 + p*b + i*b**2 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u**2 - u - 25. What is d(-4)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29111131 to the power of 1\/2, to the nearest integer?\nAnswer: 5395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -60. Let i = 107 - f. Let d = i - 31. Which is the third smallest value? (a) -2\/9 (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/69 (c) -1\/4 (d) 1\/30 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 15) to base 4.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121112 (base 3) to base 13.\nAnswer: b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3397935 millennia?\nAnswer: 4077.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:09 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*g = 5, 101*g - 99*g = -r + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7743.\nAnswer: 3, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 547640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:45 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 + 15*g - 72. What are the prime factors of c(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38*3\/(-24) - 6\/(-8). Let i = 32 + -53. What are the prime factors of (-1120)\/i - y\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 18. Suppose -3*f = c*f - 198. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1025281?\nAnswer: -1025280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*o**2 + 1771 - o**2 + 347 - o**2 + 2004 - 8*o**4 wrt o?\nAnswer: -32*o**3 - 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159267853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -10*i + 6*i. Let s = 18 + i. Let j = s - 23. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 262*n + 8098. Determine k(50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021098993 rounded to seven decimal places?\nAnswer: -0.000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0 - 1\/18*c**6 + 1\/42*c**7 + 4*c + 1\/36*c**4 + 1\/60*c**5 + 0*c**3 + 0*c**2. Factor z(a).\nAnswer: a**2*(a - 1)**2*(3*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 6*t - 3. Let s = 11 - 24. Let d be u(s). Let w be (d\/(-20))\/(1\/2). Solve 5 = -5*i + w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -651 + 645. Calculate the common denominator of -1\/146 and c - (-5 - (-200)\/(-56)).\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40 - 7ff?\nAnswer: -7bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 57 = -15*u. Solve 2*i - 9 = -3*w, -u*w + 12 = i + w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, g: 1, u: 1, v: 5, r: 1, h: 2}. What is prob of sequence khkg?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-25)*2\/(-8)*10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(17) - 1*sqrt(17)) - sqrt(102)\/sqrt(216)) + ((1*sqrt(425))**2 - (1*sqrt(17) + 3 - sqrt(17))**2)*1.\nAnswer: -sqrt(17)\/6 + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/6*2*6. Let n(j) = 4 - l - 5*j - 1. Let q be n(-2). What is the greatest common divisor of q and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(1539) - sqrt(1539)*-2))**2 + 5 + -4.\nAnswer: 498640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/(3\/(-25))*108\/72. Suppose 0 = i + 2*h + 10, -4*h - 8 = 4*i + 20. Put i, j, -2 in descending order.\nAnswer: j, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9805 or -9754?\nAnswer: -9805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.2, 43, -38, -0.5 in decreasing order.\nAnswer: 43, 3, -0.5, -1.2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let l(v) = 20 - 19*v**2 - 9 - 8. Determine b(l(t)).\nAnswer: 19*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1760 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 7*f. Calculate t(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*c - 15, 0 = 4*l - 2*c - 10. What is the biggest value in 2\/13, 50\/3, l?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 75 = -7*o. Suppose 16 = 19*l - o*l. Solve 0 = -4*j - b - 0*b - 5, 4 = -l*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1455 not equal to 0.0058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31839, 31808, 31791, 31794, 31823, 31884?\n\"Answer: i**3 + i**2 - 41*i + 31878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -3.9003361.\nAnswer: 6.9003361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 3\/463, -1\/9.\nAnswer: -1\/9, -1\/12, 3\/463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1219 from -242950.\nAnswer: -244169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -2 - -45*1. Let w = -26 + s. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.97 - -3.8. Let r = -1.83 + b. What is the smallest value in 2\/5, r, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 29*j**4\/12 - 4*j**3\/3 - 4*j**2 - 8*j. List the prime factors of g(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 1:08 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 12. Let q be a(9). Suppose -19 = -4*x + 3*j, -q*j + 30 = x + 2*x. Suppose 53 + x = 2*v. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10157371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from mzmmzmz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 641831018 to the power of 1\/2, to the nearest integer?\nAnswer: 25334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -320 + -3236?\nAnswer: -3556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((-1 + sqrt(208))*5 + 5 + sqrt(208) + 1 + -2 + sqrt(208) + sqrt(208)*-2 + -3 + (sqrt(208)*1 - sqrt(208)))*-1)*4)**2.\nAnswer: 640*sqrt(13) + 83216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1197*c + 5. Let q be i(-6). Suppose -9*u - 230 = -q. List the prime factors of u.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*((-107)\/(-10) + -1) and -4 - (2 + 5\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g - 3. Let i(p) = 6*p**2 - 7*p + 9. Let u be i(g). What is the greatest common divisor of u and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13089577.\nAnswer: 13089577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 + 6*y - 2. Let b be q(5). Suppose -b*o - 46 = -169. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -757 - 7?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5100 + -38d1?\nAnswer: -89d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 482. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 515001*w**3 - 2*w**2 - 8*w. Let x be u(-2). Round x to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -122 + 56. Solve -t*r - 24 = -14*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 33 - 0 - (3120 - 3097)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 6*w**2 - 6*w**2 + 2*w**2.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20776 and 30051.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.511 - -246295?\nAnswer: 246282.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 8. Let l(s) = -s + 1. Let p(o) = 5*l(o) - u(o). Determine p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207 - 201. What is the remainder when 115 is divided by (d + -4)*(-1 + 41\/2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 8. Suppose 0 = n - s. Let m = n - -5. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 10 + 30. Let g = k - -52. Let w = 59 - g. Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18500680 rounded to the nearest one hundred thousand?\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 379.2 - 379. What is the biggest value in w, -1\/27, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8726*y**3 + 8738*y**3 - 17469*y**3 - 2*y**2 + 415*y to the form m + p*y**2 + l*y**3 + n*y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -373*u - 3255. What is q(-9)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*x - 10, -2*x + 5 = -4*l - 3*x. Let d(y) = y + 9. Let f be d(-5). Suppose f*t - 20 - 44 = 0. Solve -4*o + z = -2*z - 15, 5*o - z - t = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54.21, 0, 0.3, -3, -21?\nAnswer: -54.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*((3 - 1 - 1)*(-3 - 5 + 3) + 0 - 2 + 3) + 4*s + s - 3*s - 2*s + 2 - 2.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -12*u - 27. Suppose u*q - 3*b - 258 = q, -4*b + 81 = q. Suppose -5*g + 4*g - 65 = -3*j, -q = -4*j + 3*g. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53.1 - -65. Let v = -12.2 + r. Let s = 0 + -0.1. Sort 3\/7, s, v in ascending order.\nAnswer: v, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from bbpbppbbpppbbp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22725 = -2*l - 22743 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 162*w. Let v(s) = -23*s. Let u(c) = 7*c**2 + 186*c - 77. Let n be u(-27). Calculate n*l(b) + 27*v(b).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from eerrzee.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q - 2701400 + 2703776 = 0 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/7 - -5\/14. Let q = -31.7 + 4.7. Let w = 26.6 + q. Which is the biggest value? (a) l (b) -2\/19 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -72. Calculate the greatest common divisor of 105 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.58 + 0.5392. Round l to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151940289?\nAnswer: 3, 50646763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -130. Let n be -1*(-13 - (h + 2)). Suppose n = 9*x - 7*x. What is the smallest common multiple of x and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 4\/9, -3\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {t: 5, v: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = i - 67, 35 = -2*i + 4452*f - 4449*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -23*k - 56. What are the prime factors of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f + 118. Calculate l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let w = z - -148. Suppose -2*f + 30 = -3*a + w, -f = 2*a - 65. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1317952660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r - 2*z - 1, 2 = -r - 3*z. Let b be r\/8 - 1809\/(-36). Suppose b = 5*q + k, -2*q = k - 12 - 5. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 3. Let r = 11 - 6. Suppose f + 16 = -3*g, -5*f = -r + 25. Let o be i(g). Which is the second smallest value? (a) -4 (b) -1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2*1\/4)\/(1\/(-482))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 8*l**2 + 2*l - 12. Let q be h(8). Solve 2*k - q*y - 11 = 15, 2*k + 3*y + 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**3\/6 - 5*b**2\/2 - b. Let c be i(8). Let d = 3 - c. Are d and -1\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013474?\nAnswer: 2, 7, 11, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -901 - -942. Solve 37*x = t*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11101320233 + -13?\nAnswer: -11101320312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1440 and 945.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4728\nAnswer: -4728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a - 45 = 0. Let y be (3 - (-48)\/a) + (-2)\/(-10). Is 45 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*z - 2010. List the prime factors of z.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - p + 8 = 0, -2*p = -6 - 4. Let h = -8 + 14. Let c(b) = 2 - 2*b + h*b - 2*b. Determine c(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108837 and -62.1.\nAnswer: 6758777.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/8 (b) 3\/35 (c) 1\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 0.2. Let h = -0.522 - g. Let o = h + 0.02199969. Round o to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3913 (base 10) to base 13.\nAnswer: 1a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/3 - 1642567*g\/3 - 4927728 = 0.\nAnswer: -9, 1642576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20393 divided by 19859?\nAnswer: -20393\/19859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (6\/(-2) - -1). Suppose -s + z + 1 = -0*s, -2*z + 26 = y*s. Is -35*2*s\/(-10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 7*r**2 - 4*r - 5. Let y be d(6). Let q be 16\/y - (-6)\/(-21). Find the common denominator of -7\/6 and ((366\/(-21))\/2)\/q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*m + 237, 0 = -2*m - 7*o + 4*o + 100. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, -5, -443, 4, 5, 79.\nAnswer: -443, -5, -4, 4, 5, 26, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90590156177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 676957709 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u = -143*u - 82340000. Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - l + 15 = 0, -3*v = -2*v - 2*l - 6. What is the highest common divisor of 36 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by -8?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/(-168)*(-1)\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*a - 25. Let w = -3 - -14. Calculate the smallest common multiple of a and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 12*r**2 + 12*r + 1. Let m be b(-6). Calculate the greatest common divisor of m and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = 3*l - 8, -2*q = l - 6. Let n = 1 - 4. Which is the biggest value? (a) n (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8103 - 5921*r**3 + 8103)*(-4*r + 3*r + 2*r) as g*r**2 + t*r**3 + q*r**4 + v*r + w and give q.\nAnswer: -5921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from kkjiikklkrikiiif?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 831\/8 + -5777\/56. Factor -l - z*l**2 - 3\/7 - 1\/7*l**3.\nAnswer: -(l + 1)**2*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/9 + 8956*r**2\/9 + 8944*r\/9 - 5968\/3.\nAnswer: 4*(r - 1)*(r + 2)*(r + 2238)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 67 - 23. Suppose -5*k + 8 = -2. What is the units digit of l\/(k*-1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-78) + 4\/(-6). Let b = -64 + 106. Let g = 42 - b. Put g, u, -4 in increasing order.\nAnswer: -4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007692 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -85993.11 rounded to the nearest 1000?\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1863 * -4\nAnswer: -7452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6170 or 6169?\nAnswer: 6170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(3\/3) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-49 + 131 - 72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p - 84 = -6*p. Solve 3*j = 4*m - 14, j - p*m = -26*m + 27 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2 - 3*g + g + g**3 - 5*g**2 - 5*g + 11. Suppose -4*i = -3*i - 6. Let q be o(i). Solve -2*a + 4*b + 1 = -5, -a + q = 3*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i - 302*i**2 + 111*i**2 - 8*i - 6*i.\nAnswer: -191*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221 - 14*m + 34 + 16*m)*(4 - 3 + 1)*(-22 + 39 + 23) + 3 + m - 3 + (m - 2*m + 3*m)*(-1 + 3 - 1) + m - 2*m - m.\nAnswer: 161*m - 14960","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.41 + -0.41. Let h = 70.9 - z. Which is the biggest value? (a) 4 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 3. Suppose 2*u - 4 + 10 = 0. Let y(c) = -7*c - 3. Let i(v) = u*y(v) + 2*z(v). Let p(x) = 3*x + 2. Let l(d) = -5*i(d) + 8*p(d). Give l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4004 and 1246388.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 3*w**2 - 4*w + 0*w. Let r be q(-4). Solve -i = -r*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 8*p + 5. Suppose 0 = d - 0 - 4. Let k be f(d). Suppose -10 = -k*g, -4*n + g - 51 = -273. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 30 + 4)*(30 - 5*p - 30) to g*p + m and give g.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 51*n**2 + 92*n - 535. Give d(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8*(-30)\/3. Let s(q) = -28*q + 10. Let m be s(j). Let p = -84 - m. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -463*d**4 + 160*d**4 + 57*d**2 + 159*d**4 + 146*d**4 - 2*d**3 - 1 - 5*d in the form j*d**4 + y*d**2 + g*d + c*d**3 + n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 27*p + 63. Give o(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 789.\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -4. Let d = 11 - t. Solve -d*f + 0*f - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) - 17\/(-2). Calculate the greatest common factor of h and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -w + 2*w - 512, -v + w + 100 = 0. Suppose -v = -4*m - 10. Suppose -17 = -2*h + m. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 7 - 27. Suppose 2*x + p = 2, s*p = -0*p. Solve -4*a = -x + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 9 - 18 = 0. Suppose -4*p - 3*o - 9 = -2*p, b*o + 12 = -p. What is the closest to 3 in p, 2\/5, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:15 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -8*f - 107*w + 485, 3*f + 2400*w - 2405*w + 55 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 59*p - 44. Calculate the remainder when (-6)\/4*304\/(-6) is divided by 60\/6 - p - -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**2\/2 - 17*n - 5. Let v be f(-15). What is the units digit of v - (-22 + (-1 - -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901 is divided by 666?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - -4 - (13 + 41 + 34)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/4 (b) -126 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13082681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4\/4 - 144543*m**3\/4 + 2166879*m**2\/2 - 2022342*m = 0 for m.\nAnswer: 0, 2, 28, 48151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 4*w + 12, -10 = w - 3*j. Is w <= -2\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1459 + -949. Round m to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -14992*u + 74916. Give w(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0 + 1\/10*p**6 + 0*p**3 + 0*p**2 + p - 11\/12*p**4 + 0*p**5. Find the third derivative of g(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0 + 0 - 6*g + 2*g + 3*g + 0*g - 5*g + 3*g - 3 + 2*g + 3 + 2 - 2*g - 2 + (-3 + g + 3)*(3 - 5 + 1))*((2 + 0 - 3)*(-3*g - 3*g + 5*g) + 25 - 25 + 3*g).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 95 = -3*p - 0*w, p - 31 = w. Suppose 3*c - p - 45 = 0. What is c rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.68 + 1.98. Let s be (-86)\/(-110) - (-8)\/(-44). Sort 0, s, -0.1, c in decreasing order.\nAnswer: s, c, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o - 11 + 6*o**2 - 18*o**2 + 3*o**3 - 2*o**3. Let h(y) = 4*y**2 + 3*y - 16. Let f be h(-3). Let t be l(f). Let a(p) = p**3 - 6. What is a(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -42, 17, 1937, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1474*k**2 - 1477*k**2 + 10*k**4 + k**3 - 2*k**3 as t*k**3 + o*k**2 + a*k**4 + c + u*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-450)\/(-2775))\/(16\/148). Suppose i*g**2 + 1\/2*g**3 + 0*g + 0 = 0. What is g?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 - 127*d - 164. Determine f(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 0 - 59 - -34\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 284*l**4 + 11*l**2 - 282*l**4 - 2 + 4 to a*l**4 + z + w*l**3 + i*l**2 + u*l and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 591001329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 318074476 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 15*i + 9 = 0. Suppose -4*h - 40 = -3*r, -r + 14 + i = -5*h. Suppose -q + 4*a + r = -1, 0 = -4*q + 3*a + 78. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-896)\/21)\/(-32)*((-21)\/4)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let p = -3 + -1. Let i = p - v. Which is the smallest value? (a) 1\/4 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 57. Which is bigger: q or -167?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22022 (base 3) to base 11\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + b - b**3 + b**4 - 7*b**2 + 14*b**2. Let h(j) = -3*j**4 - 2*j**3 + 2*j**2 + 14*j. Let p(d) = -3*h(d) - 6*t(d). Solve p(c) = 0 for c.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5657+0.21191\nAnswer: -5656.78809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*l + 41*o - 43*o, 3*l = -3*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002005 rounded to five dps?\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**9\/68040 + x**8\/30240 + x**4\/24 + 11*x**3\/2 - 36*x**2 - 2*x. Let p(v) be the second derivative of y(v). Factor p(g).\nAnswer: -2*g**3*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 + 9*h**3 - 5*h**3)*(24*h - 29*h - 161*h)*(0 + 0 - 2).\nAnswer: 2656*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 1895*m**2 - 184170*m + 3492720.\nAnswer: 5*(m - 56)*(m - 27)*(m + 462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + d**3)*(6*d - 6*d + 16*d) in the form u*d + o*d**2 + z*d**3 + a + x*d**4 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + h**5 + 3*h**4 + 5*h**2 - 3*h - 1 + 2*h**3 - 14*h**2 + 2*h**2.\nAnswer: (h - 1)*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57340181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*b = 448*b - 3*h + 16, -5*h + 7*h - 12 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15778 divided by 686\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k + 8*k + 8*k - 19488. Calculate the least common multiple of 696 and k.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.680529 rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 229*f + 3144. Determine p(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619281.\nAnswer: 3, 13, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - -40bba1?\nAnswer: 40bb8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.0738, -18, -2, 4, 13, 1\/4 in decreasing order.\nAnswer: 13, 4, 1.0738, 1\/4, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:19 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414502 is divided by 868.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.0492 - 1.9492. Which is the third biggest value? (a) -1 (b) -3 (c) n (d) 5 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*i + 3 - 63*i + 29*i - 2*i**3 - 4*i**2 in the form c*i**2 + j + k*i + o*i**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -5) + (0 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 402. Let i(v) = 26*v**2. What is i(x(k))?\nAnswer: 26*k**4 + 20904*k**2 + 4201704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 405628163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 42. Let v be (-1 - (1 + -1))*p. Solve y - 4*n + 12 = 0, -5*n = v*y - 15 - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:57 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8172, -4, -4\/3, 90.3 in ascending order.\nAnswer: -8172, -4, -4\/3, 90.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and 9.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92232, -183862, -275478, -367074, -458644?\nAnswer: -550182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 22*a + 26. Let y be l(-1). What is the nearest to 1 in 5\/4, 0.02, y, 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*1*((-20)\/(-8) - 3). Let u = -10 - -16. Suppose 2*r = u*r + 16. Let i(v) = -2*v + 3. Let a(z) = -2*z + 3. What is b*a(x) + r*i(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/(-1110))\/((-6)\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 358677 (base 15) to base 16\nAnswer: 270ee0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 1\/9 (c) -501014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**(-22))**(-2\/95)\/(m\/m**(-3\/7)*m\/((m*m**3)\/m))**(-4) assuming m is positive.\nAnswer: m**(-3944\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 27. Suppose o + 6 = 3*a + 8, 0 = 2*o - 4. Suppose 0 = 3*t + 5*p - 0 + 18, a = -2*p. What is the tens digit of u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 28*a + 96814 + 110674. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 + 5*t**2\/6 + 4*t.\nAnswer: -t*(t - 8)*(t + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 - 171. Find the common denominator of u + -2 + (-67)\/(-52) and -63\/2.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8110305 to the nearest integer?\nAnswer: 2848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136748885 and 16653?\nAnswer: 5551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 47*l - 1. Let q(d) = -2*d. Give q(g(p)).\nAnswer: 2*p**2 - 94*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-2*sqrt(1584) + sqrt(1584)) + (sqrt(684) - (sqrt(684) + -1*sqrt(684)*-2)).\nAnswer: -145*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 9*f**2 + 18*f - 12. Calculate b(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1624*y**2. Let g(d) = -9443*d. Determine g(j(x)).\nAnswer: -15335432*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -72795026 divided by 155878\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 287\/14)*(-4)\/(-3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4\/2 + 291*y**3\/2 - 477*y**2 - 2700*y = 0.\nAnswer: -100, -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4831885 or 4832023?\nAnswer: 4831885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -0.2. What is the fourth smallest value in 2, p, 1, -41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/35 and -25\/931.\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3 + 2*h**2 + 2*h - 5. Let y(x) = -x**3 + x**2 - x - 1. Calculate -c(d) + 3*y(d).\nAnswer: 3*d**3 + d**2 - 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2921.\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:20 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z**5\/3 - 98*z**4 - 190*z**3 + 934*z**2\/3 + 844*z + 432 = 0. Calculate z.\nAnswer: -108\/13, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -298, -448, -600, -748, -886, -1008, -1108?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*n - 6 = -0, -24 = -4*i + 5*n. Let m = -24 - -49. What is the tens digit of ((-38025)\/(-54))\/m - 1\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 35*t**2 - 3*t**2 + 4*t**2. Let r(h) = -3*h - 16. Let n(d) = -4*d - 20. Let f(z) = 4*n(z) - 5*r(z). Determine f(l(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * 2.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t**2 + 7*t**2 + 5*t**2 - 1 + 1 - t**2 + (4 + 0 - 6)*(-t - t**2 + t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -13, -28, -45, -64, -85, -108?\n\"Answer: -b**2 - 10*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + (-3 - 1) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 2276709*w**2 - 431848991184*w + 38452596142272.\nAnswer: -3*(w - 89)*(w + 379496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + l**2 + 9. Let r be n(-2). Suppose 2*a - 110 = -r*c - 6, -3*a + 5*c + 181 = 0. Is 32 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (4 + sqrt(11) + -1)**2).\nAnswer: 15 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 2, e: 4, l: 10}. Give prob of sequence em.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.094 + 0.436. Let p = 0.03 - h. Which is the nearest to 1? (a) -1\/4 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*w - 20355, -2*h - 3395 + 11521 = 4*w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 + -649?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11823, -23648, -35473?\nAnswer: -47298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3, 3*w = 4*t - 7*t + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/55015 and -1\/1133309?\nAnswer: 5666545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from xxuxvuivun?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 r when four letters picked without replacement from {b: 8, r: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44572, 89081, 133586, 178087, 222584?\nAnswer: 267077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11543625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**2 + 20*y - 36. Let f(x) = -x**2 - 1. Let d(m) = f(m) - h(m). Let j(i) = -5*i**2 + 7*i - 12. Let k(z) = -6*d(z) - 17*j(z). Determine k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3617546 - -3.9\nAnswer: 3617549.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -26. Suppose 2605 = i + i + 3*f, 0 = -3*f - h. Suppose -5*t + 2254 + 1001 = 5*m, -2*t = 4*m - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 157. Let d be 4\/2 - (2 + w). Let u = 209 - d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/5*150\/20. Suppose b*t - 3 = 33. Solve u + v = -0*u - 2, u = v + t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:43 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a**2 + 13*a - 121. Let j be i(5). Solve -j*w + 48*w = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(104)*-3*6)\/((sqrt(8) + (sqrt(112)\/sqrt(7))\/sqrt(2))*-2).\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 28*p**2 + 226*p - 48. What is the remainder when y(34) is divided by 384?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (33337\/(-424) + 101)?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*k**4 + 2*k**2 + 195*k wrt k.\nAnswer: -756*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8726429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*w + 1 + 5 = 0, 5*h = 5*w + 10. Suppose h*f - 291 = -3*f. Suppose 7*b - 309 - f = 0. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*g - 13, 5*h + 3 = 5*g + 23. Let z(c) = c**2 - c + 1. Let s(k) = 43*k**3 - 3*k**2 + 3*k - 3. Let y(f) = s(f) + 2*z(f). Does 21 divide y(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.1, -1, 16, 1\/2, 4, -2 in decreasing order.\nAnswer: 16, 4, 1\/2, -0.1, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-78))\/((-3)\/(12 + -9)). Let l = -42 - -127\/3. What is the biggest value in 3\/2, 0, q, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. What is the third derivative of -5*x**5 + 4*x**2 + x**2 - 5*x**d wrt x?\nAnswer: -600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000363056 to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -190896.\nAnswer: 29\/63632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s - 12 = -4*v, -4 = -v. Put s, -0.2, -0.3 in decreasing order.\nAnswer: s, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233223 (base 4) to base 3.\nAnswer: 11012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.104 + -10.696. Let y = 10.8 + t. Which is the closest to 1? (a) y (b) -0.5 (c) 6\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31306 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 20*n + 25, 0 = 4*r - n + 105 - 100 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35145096 to the nearest integer?\nAnswer: 5928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**4\/4 + 3*j**3 + 27*j**2\/2 + 11*j. Determine x, given that v(x) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 6*c = 18. Suppose -4 = d + c*d. What is the closest to d in -1\/6, 7, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 36 - 34 + s)*(s**2 + s - s).\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 9*f + 35. What is the third smallest value in -1\/4, -13, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/18 + 388*u**3\/9 + 129*u**2 + 2473*u - 2. Factor y(z).\nAnswer: 2*(z + 1)*(z + 387)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -142435*o**2 - 105070 wrt o?\nAnswer: -284870*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116407302, -116407303, -116407304?\nAnswer: -116407305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14766658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3\/2 + 4309*h**2\/4 - 130007*h\/4 = 0?\nAnswer: -4483\/6, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from geeeeeeg. What is prob of picking 3 e and 1 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, c: 2}. What is prob of sequence yyy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 25. Let g(z) = -7*z. Let o be g(k). Let d = 13 + o. Which is the third smallest value? (a) -5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3527)\/4 - 48\/(-12). Let t = -864 - i. Determine h, given that 0 - 65\/4*h**3 - 5\/2*h - t*h**2 - 5*h**4 = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + i + 145 = 185, 4*g + 5*i = 68. Solve 7*t = g*t - 60 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 - 12 = -3*k. Calculate the common denominator of (115\/2)\/(-3 - -6) and 3\/132*4*(-1 - k).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(((-7)\/(-4))\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1261187, -1261229, -1261299, -1261397?\n\"Answer: -14*h**2 - 1261173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1192*o**4 - 4*o + 115?\nAnswer: -14304*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-8))\/18*3*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000459928496 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 + 0)*(0 + 3 - 4) + 1 + 0 - 3 + 5 - 4 - 2 - 4 + 3 + 3 + (1 - 3 + 1)*(-1 + 2 - 3))*(-4*s**2 + s**2 + 2*s**2).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16693959?\nAnswer: 3, 277, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/965 (b) -95 (c) -2\/15 (d) 1.9 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = 2. Let y be ((-2)\/4)\/((-17)\/102). Let n = k - y. Sort 3, n, -1 in descending order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.27088 microseconds in hours?\nAnswer: 0.0000001181308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -113. Let l(u) = -38 + s*u + 36 + 2*u - u. Let a(g) = g - 1. Let r(y) = y**2 + 2*y + 2. Let b be r(-4). Give b*a(x) - 4*l(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*j = -j + 6, 2*j + 21 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*v - 1256*v + 639*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81440*c**3*i - 31*c**3 - 1152*c**2 + 2*i wrt i.\nAnswer: -81440*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 94*z - 18. Let k(s) = -204*s + 39. Let n(o) = -6*k(o) - 13*x(o). Let y(d) = 54*d - 11. Determine n(y(j)).\nAnswer: 108*j - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10180 = -16*r + 5372. Calculate the smallest common multiple of 297 and r.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59.484 times -12566\nAnswer: 747475.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7\/2)*(p\/(p\/((p*p*p**(3\/11))\/p)))\/p)**(-6\/23)\/((p**2\/(p**(-6)*p*p*p))\/(p**3\/(p**8*p))) assuming p is positive.\nAnswer: p**(-2570\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71900568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397 + 1370 + 1077 + 225 = -325*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 12*z**2. Let b be w(-12). Suppose 4*s - 216 = 2*r, b = 3*s + r - 57 - 95. Suppose 83 = 3*a - s. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -92. Find the third derivative of -10*r**2 + 47*r**3 - 17*r**6 - 48*r**3 - 6*r**2 + r**s wrt r.\nAnswer: -2040*r**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.48 + -10.7. Let j = n - 3.78. Which is the third smallest value? (a) 4 (b) j (c) 15 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:08 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z. Let m(d) = -d**2 + 28*d. Calculate m(s(x)).\nAnswer: -9*x**2 + 84*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1001001100110100011 (base 2) to base 3\nAnswer: -120022112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3928, -62, -5, -6, -3, -1 in decreasing order.\nAnswer: 3928, -1, -3, -5, -6, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*3\/2 - (-4 - 49). Suppose 0 = -i - f + 12, 7*i + 3*f = 3*i + t. List the prime factors of 1*i\/2*10.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*w = 94*w + 1912. What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 10*y + 11. Let i be p(-9). Suppose 0 = 5*f + i*w - 57 + 5, f = -w + 11. Calculate the remainder when 28 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/260*((-5)\/(-4))\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 758335 (base 10) to base 3\nAnswer: 1102112020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/3 + 926286*f + 643504315347 = 0.\nAnswer: -1389429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 7111529118504.\nAnswer: 7111529118504.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 17 - 0 - (3 - 0 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-12)\/(-4) + -1. Suppose 3*z - 17 = 3*f + z, 5*f + n*z + 3 = 0. Let o be f\/6 - (-3)\/14. What is the nearest to o in 2, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + u**2 - 6*u + u - u. Calculate p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 495425052?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 3*f + 0*f**2 + 2*f**2 + 2*f. Let q(m) = -2*m + 11. Let y be q(5). Give u(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-6)\/10)\/(1140\/1425)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*r - 6, 0 = 4*y + r + 3*r + 48. Let a(g) = -5*g + 1. Let c be a(y). Suppose 2 - 117 = -5*i. Calculate the highest common factor of c and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599289950 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-33 + 24) - (27 - -1 - -2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11568, -46477, -104730, -186327, -291268, -419553, -571182?\n\"Answer: -11672*z**2 + 107*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*y - 14, -2*j + 0*y = y - 16. Let z be j\/(-15)*1 - 53\/(-5). Are z and 10 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.981 + -7.981. Let q = -0.3 - -0.4. What is the closest to q in g, 3\/8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 8*s - 10 = 0. Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**3 + 108*c - 57. Let i(q) be the first derivative of p(q). Let v(l) = 9*l**2. Give v(i(m)).\nAnswer: 1296*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otbt when four letters picked without replacement from tottttbott.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 130420 or 130418?\nAnswer: 130420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-8 + 9 + -4 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 + -72 - (-9 - -1)) + -25 - -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 1\/1111, 2 in increasing order.\nAnswer: 1\/1111, 2, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*c + 59*c. Solve -2\/7*y**2 + 2\/7*y**4 + c - 2\/7*y + 2\/7*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.573 to zero decimal places.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 895699500 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -3 + 17. Find the third derivative of 12*m**3 + 0*m**v - m**3 - 2*m**2 wrt m.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**3 + 8*i - 5. Let f(w) = w**3 + w - 1. Suppose 345 = -9*n + 354. Determine n*b(s) - 5*f(s).\nAnswer: 5*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(275)*2*3)**2 - ((sqrt(99) - -1*(sqrt(99) + -1 + sqrt(99)) - sqrt(99)) + 1)**2)*4.\nAnswer: 156816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -42, -90, -158, -246, -354, -482?\n\"Answer: -10*s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 24*n + 1. Let t be g(1). Suppose 0 = -2*a + 7*a - t. Suppose q + 3 = a. 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 388 minutes before 4:17 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216663 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + q = -2*q - 4*q, n + 2*q + 500 - 511 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 18 = 5*z, -10 = 3*i - 5*z + 4*z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in years?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200.9716 + -0.0284. Let v = z - -199.37. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2 + 0*y + 15\/4*y**5 + 0 + 35\/4*y**4 + 0*y**3 = 0 for y.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17 = -151. What is the remainder when a is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -w - 3*n, w + 2*n + 8 = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:20 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, 148, 0 in ascending order.\nAnswer: -4, 0, 42, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18467070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14301 (base 5) to base 10.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 4. Let s be d(-3). Let r be (s + -1)*58\/(-4). Let o = r - 7. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 7. Let c be p(-7). Let m be 2\/(-2) - c\/1. Let n be (m\/2)\/((-2)\/4). Solve 3 + n = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 9 + 16. Suppose -28 - 27 = -x*s. Suppose -s*a = -7*a. Let j(r) = -r - 2. Give j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376379773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867119.\nAnswer: 3, 149, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) -142.2 (c) -0.3 (d) -2\/13 (e) -1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -619, -1139, -1657, -2173?\n\"Answer: y**2 - 523*y - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m - 77. Let o(s) = -8*s + 82. Give 6*o(r) + 5*u(r).\nAnswer: -3*r + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428485?\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3492 - 3471.37. Round s to one decimal place.\nAnswer: 20.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837375484?\nAnswer: 2, 11, 659, 28879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:57 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 - t - 4. Determine w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12263, 12264, 12265, 12266?\n\"Answer: q + 12262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 13. Let s be c(-7). Is ((-10)\/(240\/(-4904)))\/(s\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 5.21.\nAnswer: -0.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*w**2 + 15*w**2 + 9*w**2)*(-4 + 4 - w**2) in the form q*w**4 + y*w**3 + c + g*w + p*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 344 = 0. Suppose -j + 191 - f = 0. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 + 11*d - 7. Let q(r) be the third derivative of 0*r - 2*r**2 - 5\/24*r**4 + 1\/2*r**3 + 1\/40*r**6 + 0 + 0*r**5. Give -9*q(t) - 4*v(t).\nAnswer: t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (65\/26)\/((-1)\/(-2)). Suppose -4*y - 110 = -3*h, a*y + 44 = 3*h - 2*h. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 2*d**2 + 2*d - 1. Let i be y(2). Let t(a) = -8*a**3 - a**2 + 1. Let w be t(-1). Let q = w - 14. Is q smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 + 264. Is 33 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19400*d**3 - 19471*d**3 + 38846*d**3.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - 0. What is the least common multiple of 16 and (4\/(16\/m))\/((-2)\/48)?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 11, 103, 4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9893, -19789, -29687, -39587?\nAnswer: -49489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -31, 396, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j - 132. Let t(x) = 9*x + 492. Determine n(t(i)).\nAnswer: 81*i**2 + 8883*i + 243408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 424036, 424037, 424038?\n\"Answer: u + 424035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 2*b + 8754*b**2 - 8554*b**2 to the form i*b**2 + q + m*b and give i.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**4 - o - 1. Let m(w) = -5*w**4 + 95*w**3 + 258*w**2 - 2*w - 2. Let r(c) = -2*j(c) + m(c). Find the third derivative of r(s) wrt s.\nAnswer: -72*s + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**3 - 4155*b**2 - 1150935*b - 106269665 = 0.\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 - 140*x + 142 = 0.\nAnswer: -71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -7*b + 11*b + 409, -2*b - 824 = -2*s. Suppose -s = 5*w - 1513. What is the highest common factor of w and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/4*(6 - (10 + 2)). What is the greatest common divisor of j and 420?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.97 + 0.03. Let a = w - 16. Let u be ((-3)\/24)\/((-1)\/6). What is the second biggest value in u, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2 = -r - i, -4*r - 5*i = -8. Calculate the highest common factor of r and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1\/(1\/(-2)). Suppose -2*x - 4*g = 0, -x - g = -z*g - 3. Let f(i) = i + 2. Let v(b) = 4*b - 6*b - 2 - 3. Determine x*v(q) + 5*f(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170399 + 170575 = 4*q for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 - 46933414*z + 46933414*z.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*i - 0*i + 50, -4*n + 3*i = -33. Suppose -5*x + h = n + 2, 3*x + 3*h = -3. Is -26\/9 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let v(o) = 22*o**2 - 7. Let p(x) = -15*x**2 + 5. Let w be 10\/(-4)*(-3 - -5). Let d(h) = w*v(h) - 7*p(h). Determine d(r(i)).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 divided by -4.\nAnswer: -139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2. Let x(j) = j - 5. Let y(z) = 5*v(z) + 2*x(z). Let c(w) = 4*w. Let r(u) = u + 1. Let p be r(4). Calculate p*y(n) - 3*c(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 + -1.6. Let f be 3\/2*(-4)\/(-56)*-8. Which is the nearest to f? (a) 3 (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729*b**5 + 195264*b**4 + 13060984*b**3 - 1938176*b**2 + 71824*b.\nAnswer: b*(b + 134)**2*(27*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p**2 - 7*p - 4. Let r(a) = -a**2 - a - 1. Let w(i) = 2*r(i) - v(i). Let n(t) be the first derivative of w(t). Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 18 - 1\/6*b**4 + 1\/10*b**5 - 1\/45*b**6 + 0*b**2 - 16\/3*b**3 + 0*b. Let z(j) be the third derivative of x(j). Factor z(k).\nAnswer: -4*(k - 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 77 = -2*h. Suppose 4*p = h + 47. Suppose -4*f - 5*w = -364, 3*w - 165 - 17 = -2*f. What is the remainder when f is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 30*w - 27*w + 24 = 0, -4*w = -5*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, r: 5, t: 2}. What is prob of sequence uu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 125. Let r = 1 - -4. Suppose -184 = -r*j + b. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 2:21 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -47 (b) -2 (c) 26 (d) -10 (e) -4 (f) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42871209 + 0.0368\nAnswer: 42871209.0368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b**2 - 1. Let d(w) = 2*w**2 - 7*w - 10. Let s be d(8). Let u = -62 + s. Calculate q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f + 9. Let d(j) = 2*j + 3. Let r be -8 + ((-4)\/2)\/(-2). Let p(z) = r*d(z) + 2*x(z). Let q be p(-2). Solve q + 0 = 5*u - 3*i, 4*u - i + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 16 + 16 + (8 + 4 + 9)*(b - 2*b - 5*b) to the form q*b + g and give q.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 19. Let l be q(15). Suppose -5*b + l*b = -9. Which is greater: b or 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 5494310*r**2 + 120873005*r + 664798200.\nAnswer: 5*(r + 11)**2*(r + 1098840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -112*q + 6596. Let l be s(69). Is -1132 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31001 - -3?\nAnswer: -30443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 4 = 12*z. Let i be (-6)\/((-60)\/15 - (-2)\/z). Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 76361 (b) -5 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from kpocy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4\/(-18) + 3230\/7650)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -668140 + 1609077. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 - 15\/((-135)\/37458)?\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 4.5. Let r be 2 + (-10)\/15*-3. Let c = -3\/4 + 23\/20. What is the nearest to c in l, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-3)\/((-9)\/(-6)). Let h = -3.99 - 0.01. Sort o, -1\/3, h in ascending order.\nAnswer: h, o, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14176081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o**2 + 1034*o. Let p(n) = -10*n. Give p(k(x)).\nAnswer: -120*x**2 - 10340*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 572415, 572453, 572517, 572607?\n\"Answer: 13*c**2 - c + 572403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/3 + 1120*i. Let g(x) = 1645*x**2. What is g(a(l))?\nAnswer: 6580*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 41 = -47. Let i be 0 + -6 + h - 2. Solve -2*z + 6*z - 16 = i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Suppose -3*j = -5*p + 117, -4*p + j + 92 = -j. Let l = 23 - p. Let o(m) = l*m - m + 3*m - 2*m. Calculate q(o(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*((-36)\/(-10) + -1). Let f = s + 15. Suppose 189 = f*k - 11. What is k rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*h + 2*h - 30 = 0, d = -5*h + 6. Suppose -16*u + d*u = 35. What is the second derivative of -r + u*r - 6*r**4 + 9*r + 36*r**4 wrt r?\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 0.13, -2\/373, 2\/15?\nAnswer: -2\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3 = -z + 2*s, -5*z = 3*s - 15. Let d be (-32)\/12*z\/(-1). Let b = 12 - d. Solve -1 + 9 = 4*h - 2*q, 4*h = 3*q + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -308805 and 12.9.\nAnswer: -3983584.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w - 11. Let k(h) = -14*h - 33. Let s(d) = -6*k(d) + 17*l(d). Is 5 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/23)*c*c\/(c*c*c**(-5\/2)*c) assuming c is positive.\nAnswer: c**(73\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*t - 12 + 67, 4*t + 175 = 3*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 12*u**2 - 10*u - 5. Let b be h(11). What is the second derivative of -96*c + c + 4*c**3 - b*c**3 + 11*c - 4*c**2 wrt c?\nAnswer: -12*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 - 2*y**3 - y**3 + 1 - y**2 + 9*y**3 - 2*y to the form k*y**3 + u + b*y**2 + h*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**3 + 6*c**2 + 21*c + 6. Let g(l) = -8*l**3 - 7*l**2 - 22*l - 7. Calculate -6*g(a) - 7*u(a).\nAnswer: -a**3 - 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -41. Let d = -26 + h. Which is the second smallest value? (a) d (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9354482 nanometers?\nAnswer: 0.00000009354482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = v - 2*h - 7, 0 = -4*v - 4*h - 20. Let d be 1 - (0\/v - 2). Solve -k + 0*k = -d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 444*g**2 + 3828*g + 16. Let q(s) = -888*s**2 - 7655*s - 36. Let f(o) = -9*k(o) - 4*q(o). What is the second derivative of f(i) wrt i?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - w. Let i be a(-7). Suppose i*m - 9 = 4*m. Solve -3*n = -q - 4, -m = 3*q - 2*n - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*z**2 + 0*z**4 + 6*z**4 - 19*z**4 wrt z?\nAnswer: -312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 228504599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255800 by -63950.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020962363 to seven decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {o: 6, b: 2, r: 2, c: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = 18. Suppose 4*w - 36 = w - 2*c, 3*w = -3*c + 39. Calculate the remainder when w is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 12*b + 6*b)*(2*b - 2*b - 2*b)*(10*b - 10*b - 12*b**2) + 2*b**4 - 6*b**4 + 2*b**4 - b**4 + 2*b - 2*b + (b - 2*b**2 - b)*(4*b - 2*b**2 - 4*b).\nAnswer: 409*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, i: 3, s: 5}. Give prob of sequence kisi.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9777 + 136925\/14. What is the common denominator of w and 63\/956?\nAnswer: 6692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 3, b: 4, u: 1, l: 9}. Give prob of picking 1 b and 3 a.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101812950 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29397975 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1 + 5*9\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 36 = 298*z - 297*z, d = -5*z + 25 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-5)*7\/(28\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + (-1 - -21) + (97 - 109)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(114) + 4*(sqrt(114)*2 - sqrt(114)) - sqrt(114))\/(1*sqrt(54) - sqrt(6)) - (-4*(sqrt(475) + -1)**2 + 3)).\nAnswer: -1901 + 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1.2 (b) -1\/8 (c) -2\/1713\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 142*s - 41. Let f(r) = 70*r - 24. Calculate 5*f(i) - 3*x(i).\nAnswer: -76*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -867999, -1735993, -2603985, -3471975, -4339963, -5207949?\n\"Answer: q**2 - 867997*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let i = -33042 + 33042. Solve i = -h - y + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 20*n**2 + 2*n**2 - 10*n + 2*n - 2*n**2 to the form b*n + t*n**2 + h and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 3*f - 27, -8*f + 27 - 56 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -203cb0 (base 13) to base 4\nAnswer: -2313123310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1942 = -13*c + 11*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 162 = -4*a - 203, 2*a - 7*a = 17*s + 144 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 129*m**3 - 1448*m**2 + 295*m + 264.\nAnswer: (m - 11)*(3*m + 1)*(43*m - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123572, 123589, 123626, 123689, 123784, 123917, 124094?\nAnswer: 124321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -237371 and 0.118.\nAnswer: -28009.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -3*m, 2*m + 8*g = 3*g + 14. Solve -q - 25 = m*f + 4*q, 0 = 2*f - 4*q - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(18\/7)\/p**(-2)*(p\/(p\/(p\/(p\/p**(4\/11))))*p)**(-3\/8) assuming p is positive.\nAnswer: p**(2501\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -118?\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 5. Suppose -j - j = -3*m - 16, -4*m + 2*j - 22 = 0. Let c = -10 - m. Let t be y(c). Solve -3*f = 4*x - 2*f - t, -5*x + 2*f - 15 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 11\/48, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-336)\/(-36)*(-3)\/(-4). Suppose 5*m = k*m - 8. Solve 2*g - 1 - m = -5*q, -3*g = 5*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, q: 2, p: 2, c: 1, g: 7}. Give prob of sequence qcp.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/70 + w**4\/28 - 12*w**2. Determine n, given that j(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 2*w = -13*m - 2, -m - 4*w = 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 10*u + 21\/2.\nAnswer: -(u - 21)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 37. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1223*y**2 - 85*y**2 - 596*y**2 - 419*y**2.\nAnswer: -2323*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 2:31 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1512\/169 = -0.044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 + -0.9. Suppose -2*h - h = -24. Let r be h*(2 - 21\/10). Which is the third biggest value? (a) w (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 3256*s**3 + 2717878*s**2 - 109880232*s + 1138860009.\nAnswer: (s - 1607)**2*(s - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48357, -96725, -145107, -193503, -241913?\n\"Answer: -7*t**2 - 48347*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is bb36 (base 15) in base 8?\nAnswer: 115343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 8. Solve -m*h + 15 = -5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-6)*-9*9\/18. Suppose 315*a = 312*a + b. Solve -5 = a*j + 2*l + l, j + 4*l + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3376)\/768 + (-5)\/(-4) and 33\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -5 (b) -2.54 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 187, 251, 425, 763, 1319, 2147, 3301?\n\"Answer: 9*a**3 + a**2 - 2*a + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let f(b) = 794242*b. Determine f(t(d)).\nAnswer: -1588484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -3*s**2 + 2*s**4 + 0*s - 9 + 27\/20*s**5 + 0*s**3. Find the second derivative of w(z) wrt z.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 + 10*c + 4*c - 14*c + 30*c**3.\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(57) + (-1*sqrt(57)*-3 - sqrt(57)))\/(sqrt(12)*1) + sqrt(171)*6 + sqrt(19) + sqrt(76) + 1)**2*3.\nAnswer: 135*sqrt(19) + 115445\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6337*i + 6353*i - 128 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*j*n**4 - 2*g*j*n**3 - 112*g*n**4 - 2*g*n**2 + 6*g*n - 3*j*n**2 + 28*j*n wrt n.\nAnswer: 48*g*j*n - 12*g*j - 2688*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and 221?\nAnswer: -53.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 3*r**2 - 2*r - 3. Let c = -5 + 2. Determine n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 101*i**2 + i. Let x(m) = 33*m - 33. Let g be x(4). Let p(t) = 47*t - g*t + 50*t. Calculate p(n(b)).\nAnswer: -202*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 8)*(-3)\/6. Suppose -41 = -m*y + 107. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/24*h**4 + 0*h + 0*h**3 + 3*h**2 + 0. Let m(c) = -3*c. Calculate v(m(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 8*r + 60. Let c = r + 17. Let o be ((-112)\/2)\/((-2)\/1). Solve k + 3*k + o = -c*h, 2*h + 16 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let k be ((-30)\/(-9))\/(80\/96). Solve 4*z - 5*h = 0, j*z = k*h - h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1360)\/(-204))\/((-20)\/(-48))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95736194 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 10 = 0. Is i\/(15\/6) - -10 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 713*d**7\/210 + 171*d**3\/2 - 2*d**2 + 115. What is the derivative of k(n) wrt n?\nAnswer: 2852*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140844 divided by -6402\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 9*n - 5*n - 8*n to the form y + w*n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190673721 to the power of 1\/2, to the nearest integer?\nAnswer: 64735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1284, 4644, 10074, 17574, 27144?\n\"Answer: 1035*k**2 + 255*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 103.6612.\nAnswer: 103.1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 11 = -2*p, -3*g - 4*p + 5 = -0*g. Let u be (-1)\/(g\/4 + -1). Which is the biggest value? (a) u (b) -1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3369 and 18.\nAnswer: 20214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -0.3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1562 and 2002?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-692)\/3)\/(332\/(-25149)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:34 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 201.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1427 = -3*n - 3*t + 1087, 0 = 5*n - 4*t - 4235. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -120?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(128) + -1)*-1)**2 - sqrt(128) - sqrt(128)) + 2.\nAnswer: -32*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 1. Let s(r) = -35*r**2 - 30. Suppose -4 - 1 = 3*t - 2*f, 0 = 4*t - 2*f + 6. Calculate t*s(y) + 30*p(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199\/(-398)*10*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -k - q, 0 = -k + 4*q - q + 7. Suppose v + v = k. Let z(x) = x**2 - 4*x + 6. What is the tens digit of z(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9946872 and 1224.\nAnswer: 169096824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/9 - 3152*v**2\/3 + 179452*v\/3 - 7757384\/9.\nAnswer: 4*(v - 2306)*(v - 29)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419831, -417529, -415227, -412925, -410623, -408321?\nAnswer: -406019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n - 400 - 192 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -381 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 1 + 5 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 3646?\nAnswer: -3649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/23, -1\/2, 0, -1\/22, 1\/4, -58.61, -7\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/3905 and -56\/825.\nAnswer: 58575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 - 2*a. Let u(j) = -j**3 - 15*j**2 + 5*j. Give -5*s(y) - 2*u(y).\nAnswer: 2*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318579270 divided by -19?\nAnswer: -16767330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1044*a**4 + 264 wrt a?\nAnswer: 4176*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/8 + (-280098)\/(-648)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 - 9 = 0. Find the second derivative of -2 - c*h + 2 - 3*h**2 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*-2*7\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*q + 8 = -22, -4*b + 2*q = -10. Suppose -b*t + 2760 = 2*i + 334, 0 = 2*t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23227.46 * -2.\nAnswer: -46454.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(0*x + 3*x - 7*x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 8:50 PM?\nAnswer: 452","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*g - 4*g = -59, -4*r = -g + 70. Let p(n) = n**3 - 3*n + 3. Let u be p(-3). Let c = u - r. Solve 2*j - 5*k = -3*k, 0 = -c*j + 5*k - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*z + 430*z - 72 = 0. Solve z*h = 2*h - 40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 227351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 23 = -4*r - 5, 4*b + 2*r = 18. Let h be (6\/(-4))\/(4\/(-16)). Solve b*y - h*y - m - 17 = 0, 2 = -y - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -415\/23 + 17659\/943. Let r be 2695\/164 + 4\/8. Let u = t - r. Find the common denominator of -65\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(15)\/sqrt(5))**2*6.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -45. Let s(f) = f**3 + f**2 - f - 1. Let j be s(p). Let v(y) = -y**2 - 3. Determine v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -657 less than or equal to -625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 402\/(-34) - (-2763)\/(-15657)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 + 511*j**2 - 1049*j + 519. Let g(l) = -2*l**3 - 256*l**2 + 524*l - 260. Let d(h) = 2*a(h) + 5*g(h). Solve d(x) = 0.\nAnswer: -131, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5 - 50*l**4 - 110*l**3 + 120*l**2 + 315*l - 270 = 0 for l.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1840 divided by -5.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 160076 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 3*b + 2*b)*(3090*b - 3090*b - 619*b**3) + 2*b**2 + 2*b**4 - 2*b**2 + (2 - 1 + 0)*(-5*b**4 + 2*b**4 + 2*b**4).\nAnswer: 620*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29461, 29464, 29485, 29536, 29629, 29776, 29989, 30280?\n\"Answer: 2*n**3 - 3*n**2 - 2*n + 29464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 - 79*m**2 - 17*m + 12. Let h be o(16). What is the biggest value in 0.4, h, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2088 and 720?\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/44)\/((-4)\/184). Let m = -26\/33 - t. Is -3 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 917\/(-308) - ((-30)\/12 - 1\/2) and 83\/836.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5352 or 12?\nAnswer: 0.5352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4810847.\nAnswer: 17, 282991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) 77 (c) 0 (d) -0.5 (e) 8\/5 (f) -339\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 19 = -5*v + 18, -4 = x. Suppose -3*y - 2*z = -v*z, 2*y = z - 5. Is ((-34)\/y)\/(1\/5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - (-11 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.4096 (b) 3\/5 (c) 0.7 (d) -0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215805764.\nAnswer: 2, 47, 1147903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - 696\nAnswer: -694.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6621.89 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**5 - 10*i**4 - 75*i**3 = 0. What is i?\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:15 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-99)*946\/602. Suppose 2*k = 4, -4*x + 4*k + 7 = 35. Let d = 1.9 - 2. What is the second biggest value in d, -1, x, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416 - 202. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91401.89 milliseconds in seconds?\nAnswer: 91.40189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38985 - 19851. What is the highest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1785301783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)*2)\/(sqrt(384) + (sqrt(384) - (sqrt(384) + 2*sqrt(384))) + sqrt(384) + sqrt(6)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v + 1. Let x(l) = 34*l - 1175. Give -x(h) + 4*y(h).\nAnswer: 2*h + 1179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 6\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31200 - -33?\nAnswer: 31233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skteskskkkte. What is prob of picking 1 t and 2 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18 and 19\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((1 - -11) + -17) - 22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.057 - 0.243. Let t = 26 - 37. Let i = t + 3. Which is the third biggest value? (a) i (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/60 + y**4\/8 - y**3\/6 - 3*y. Let z(s) be the second derivative of k(s). What is the units digit of z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57526 (base 12) to base 5\nAnswer: -12212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Let t(u) = 7*u**2 - u. Let y be t(d). Suppose 0 = -2*z - 4*x + 14, -4*z + y = -2*z + x. What is the least common multiple of 8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2632 by -658.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*b - 27*b - 108*b + 1533. Let a(f) = -f**3 + 2*f - 1. Let i be a(-2). Solve -2*o + 2 = -r - r, i*o = 5*r + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/(-6) - 75)*-14 - 2. Let b = i - 558. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2669*h**5 - h**2 + 953 wrt h?\nAnswer: -160140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 168?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(140) + 2*sqrt(140)))\/sqrt(10))\/(sqrt(450)*-5).\nAnswer: 3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17145)\/200)\/(3\/1644). Let s = 47138 + l. Let g = s + -170. Find the common denominator of g and -17\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 + -66. Let a = 164 - 155. What is the highest common factor of i and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 69, 122, 195?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-576)\/4)\/(-3) + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 464*h - 2. Let q be o(-2). Let p = q - -428. Is (p\/(-5))\/((-2)\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 670484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602047 is divided by 2880?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -71822505 to the nearest 10000.\nAnswer: -71820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 17*n - 227. Give b(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.473865 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 2*t + 3*t)*(-t**3 + 2*t**2 - 2*t**2) + (2*t + 3*t**3 - 2*t)*(50*t - 187*t - 109*t) to the form h*t**3 + o*t**4 + k + b*t**2 + f*t and give o.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -38199420 rounded to the nearest 100000?\nAnswer: -38200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(208) - (2 + sqrt(208))) + sqrt(468)*3))**2.\nAnswer: -2592*sqrt(13) + 151776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-510)\/(-35) + (-3)\/(-7). Suppose 2*c = 4*w + 3*c - 49, 3*c = -w + q. Suppose -w = -2*a - 4. Solve 0 = a*h - 2*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:26 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2531 = h, 4*h = -2*i + 5*h + 1010. What is the greatest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000010111000 (base 2) to base 11\nAnswer: -3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 - 67 = -44*t. Let v(j) = -3*j + 24. Let y be v(6). Solve -t*z + 26 = y, 4 = -4*i - 2*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/2 - i**3 + 16*i**2. Let n be t(6). Let f = 202\/3 - n. Which is the nearest to 0? (a) -2 (b) f (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + 1312732?\nAnswer: 1312710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58677942 divided by -541\nAnswer: 108462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27352, 27300, 27250, 27202, 27156, 27112, 27070?\nAnswer: 27030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284105059*n**5 + 196473304*n wrt n.\nAnswer: -5682101180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 6*v - 12. Let b be y(8). Let o be (0 - 3)*(154\/21 - 8). Suppose 4*h - 12359 = -c - 3484, b*h - o*c - 8878 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 + 1.53. Let h = q - -1.57. Which is bigger: 137 or h?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421310 (base 5) to base 16\nAnswer: 3683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 58080.31 to the nearest one hundred.\nAnswer: 58100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 27 = 3*x + 33, 42 = 30108540*h - 30108543*h - 3*x for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4613 and 0.0374.\nAnswer: -172.5262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*b - 1)*(-b**2 - b**2 + 3*b**2) + 4*b**3 - 2*b**3 - b**3 - 2*b**3 + 6*b**3 - 2*b**3 + (0*b**3 + 0*b**3 + b**3)*(3 - 2 + 0) + 0 + 0 - 2*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6 and -77\/1854.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 11*z + 8*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 2, z: 1, b: 4}. Give prob of picking 1 z and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -164239706968 and 49.\nAnswer: -164239706919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -3 - (-5440)\/(-608)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 2257216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + -223996527.\nAnswer: -223996545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14413*l + 14412*l = -n + 5, 4*l = -4*n + 28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 318 = 283 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*m + 3*m + 6, -4 = -m + 4*k. Which is the biggest value? (a) 4 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 9 + -3 + -9 + 4 + 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27203\/3 + -652981\/72. Let p = -54706145\/11 - -4977948. Let q = 4659 - p. Calculate the common denominator of q and m.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = 4*x, 0 = -s - 2*s + 2*x + 10. What is the lowest common multiple of (2 - 9)\/((-3)\/s) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4 and 179398373.\nAnswer: 179398374.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(9*q - 15*q + 11*q)*(-3*q - 2*q + 3*q) - 1 - 2*q**2 + 1 to x*q + m*q**2 + z and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101202222 (base 4) to base 6\nAnswer: -1312350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 6 - 2*u + 5*u)*(3*u - 7*u + 2*u).\nAnswer: -4*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {r: 1, w: 1, e: 1, c: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 191360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 2*a + 12*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*z**4 - 52*z**3 - 122*z**2 + 241*z**2 - 3 + 25*z**4 + 4 - 122*z**2 as n*z**3 + q*z**4 + w + p*z + f*z**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s**3 + 5*s**3 + 1 - 1 + 2 - 5*s**2 as w + q*s**2 + i*s**3 + v*s and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*q + 2*q. Solve 0 = q*b - 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 719090?\nAnswer: 2876360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1108065392*p + 70017158?\nAnswer: 1108065392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 5*s**2 + 6*s + 5. Let l be x(6). Suppose -349 = -4*h + l*z, -3*z - 32 = 3*h - 260. What is the highest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -878*g**2 - 4*g - 1. Let l be i(4). Let f be (3 + l\/4695)\/(4\/(-6)). Let v = f + 636\/1565. Which is the closest to 0.1? (a) v (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002022201 (base 3) in base 13?\nAnswer: 9964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 35. Solve -3*l - z = -4*c, -4*l + l - 15 = 5*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/12 - r**3\/3 - r**2 - r. Let f(v) = 4*v**2 - 6*v - 7. Suppose -3*z = -6, 2*w - 7 - 3 = 2*z. Calculate w*x(a) - 2*f(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14198*r**4*x - 2*r**3*x**3 - 2*r**2*x**3 - 14986*r*x**3 wrt r?\nAnswer: 340752*r*x - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-20 - -33 - -12)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/3, 0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1667*j - 363*j + 26922 = -107*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -72*g**2 - 670*g - 213. Determine z(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + q + 5*q - 13*q**3.\nAnswer: -13*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 + 29*i - 90. Give u(-8).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v - 156 = 4*c, -3*v + 2*c - 9639 = 4*c - 9645 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.9 + -39.8. Let k = f - -15. Let b = 77 + -383\/5. What is the nearest to b in k, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 - a. Let p be r(-1). Let c(f) = -4*f + 9. Let u be c(3). Let d(b) = -b - 1. Let k be d(u). Solve p = k*i + 3*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 72?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 29*m + 464. Let a be o(-21). Solve 66*i = 29*i - a for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 14. Suppose d + 2 = -3*w + 24, w = 2*d + 5. Calculate the remainder when g is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-74622)\/(-3) + 101\/(-101)?\nAnswer: 3, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((54\/(-4))\/(-9))\/((-18)\/(-60)). Suppose -u*f + 133 = 13. Calculate the lowest common multiple of 42 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 109, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:03 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*d + 5 = 0, 0 = -13*y + 9*y - 2*d - 25 - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 15*x + 2. Let k be s(-4). Suppose -k*m = -4*m - 20. Let o(c) = c**3 - 11*c**2 + 9*c + 12. Let n be o(m). Solve n = -2*f + 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + i**3 + 4*i**3 + (0*i**2 + 0*i**2 + 2*i**2)*(-3 + 3 + i) + (1 - 1 - 3*i**2)*(-9 + 5 + 2)*(i + 6*i - 2*i).\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a + 9488 = 10502 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**3 + 1135771*r**2 - 22916541*r.\nAnswer: 18*r + 2271542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*23\/(69\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6195200 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 2*v**3 + 272 + 92 + 89.\nAnswer: 2*v**3 + 560","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2. Let f be (1\/(-4))\/(3\/(-36)). Suppose n = 4*l - 8, 2*l + f*n + 0 = 4. Let t(p) = -50*p**2 + 45*p**l - 1 + 1. Calculate o(t(r)).\nAnswer: -125*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2171 and 167?\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.40048 - 29.4. Round z to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + 2?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l = 100. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92506551 is divided by 2142?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = 2*r + 2, 4*r - 22 = 3*m. Suppose -r*x + 19 = p - 4, -3*x + 12 = 0. Let h(a) = -4*a - 25. Calculate the remainder when h(-11) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 3*n - 20, -5*n = -4*v - 36. Let z = v - -7. Solve -z*h + 9 - 34 = 5*t, -t = -4*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 4*g**3\/3 - g**2 - 24*g. Let q(p) = -4*p + 1. What is -3*d(m) - 5*q(m)?\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 - 6572\/80. Let t be (0 + -60)*(-96)\/(-100). Let q = j - t. Calculate the common denominator of -81\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y - 76. Determine a(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*p. Differentiate q + 1 - q - 3*q**2 + p*q with respect to q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 2, o: 2, g: 1, c: 1, j: 1}. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/8 of a day?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + sqrt(3)*1 + 5)**2 + 4).\nAnswer: -44 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 86ff7f?\nAnswer: -86ff7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 5*g - 22. Let i be o(8). Solve -p = i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4*j + 76 = 0. Suppose 27*p - j*p - 8 = 0. Let i(x) = -x**2 - x + 1. What is i(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195\/19 + -1793\/171. What is the closest to c in 3, -4\/3, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2922515077?\nAnswer: 19, 153816583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31492 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = 0, 5*p = 2*a + 449 - 44. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*1*13\/(-13). Let k = u + -4. Let t(v) = -v**3 + 3*v**2 + 2*v - 1. Let c be t(3). Solve 0 = r - k*m - c, 3*m + 2 = -2*r - m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 150 = -2*i, -2 = h - 0. Let z = i + 49. Let o = z - -17. Which is the second smallest value? (a) o (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1712\/825 or -3?\nAnswer: -1712\/825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -9. Let d(j) be the second derivative of -13*j**3\/6 - 5*j**2 + 3*j. What are the prime factors of d(n)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 6 (c) -1\/17701\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/11 and -73\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6760*u**2 - 9*u + 105. Let g(y) = 3379*y**2 - 5*y + 60. What is -4*f(c) + 7*g(c)?\nAnswer: -3387*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let g(t) = 19778*t. Calculate g(p(n)).\nAnswer: -19778*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 346315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15\/178 + -43321\/267. Let g = c - -547\/3. Find the common denominator of -19\/21 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -u - 3*v + 38, 0 = -2*u + 2*v + 96. Let n = -28 + u. What are the prime factors of (n\/(-5))\/(2\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 2 + 2 + (4*k + k - 3*k)*(12 - 5 + 8).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29232, 29237, 29228, 29199, 29144, 29057, 28932, 28763?\nAnswer: 28544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/170 and 37\/9450650?\nAnswer: 160661050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -414689777 and 4?\nAnswer: -1658759108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 6. Suppose 2*a = -h - 4 + l, 3*h = -6. Solve -a = -5*i + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -29*q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254687 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*-1*(-1 - 0). Let i(y) = 2*y**2 + 2*y + 2. Let d be i(h). Suppose 0 = 3*j - d. Which is the second smallest value? (a) 4 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/11445604 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -9, 5, -2, 207?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5455 divide 1076194520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 47*l - 47. Calculate s(-47).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 6651?\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6671 is divided by 121.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-29481)\/137578.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t**3 - 42*t**3 + 95*t**3 - 6654*t.\nAnswer: 4*t**3 - 6654*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299025084 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2328, 259, -6196, -17031, -32240, -51817, -75756?\nAnswer: -104051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46683\/(-8190) + (-9)\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16*o - 2. What is i(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/65855 and -27\/70.\nAnswer: 921970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*r**2 - 87*r**2 + 24*r**2 + 24*r**2 + 4*r**2)*(-6*r**3 + 0*r**3 - 4*r**3).\nAnswer: 1260*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39422114 or 39422113?\nAnswer: 39422114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1197 - -2882?\nAnswer: 3a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 - 2*f - 2. Let l(z) = 155*z**2 + 45*z + 45. Let q(y) = -2*l(y) - 45*x(y). Suppose -j - j - 3 = -m, -3*j = -3*m + 3. What is q(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, u: 4, i: 3, c: 4}. Give prob of sequence ccu.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7414930 less than 0.7?\nAnswer: 7414930.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2\/19361?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*-1*(0 + sqrt(1584) + -2)*6)**2*-6.\nAnswer: -5488128 + 165888*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.8*-2980.\nAnswer: 88804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 719706989 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((84\/(-48))\/(-7))\/(6\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8)*116 + -3. What is the highest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/y**3*y**7\/y**(2\/5))**34 assuming y is positive.\nAnswer: y**(1632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/812 and -32\/4669.\nAnswer: 18676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/9))**37\/(k\/((k*k**(1\/50))\/k)*k*k**(-9)*k) assuming k is positive.\nAnswer: k**(-4691\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45419847 and 37161693?\nAnswer: 408778623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1591224914583 + 0.1.\nAnswer: 1591224914583.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1979669526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68500 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + (-50 - -41)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576 is divided by 1547?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 401.02002 - 401. Round x to 4 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 + -1703\/11. Let g = 0.112 + -0.212. Which is the smallest value? (a) -1 (b) -4 (c) g (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 6*t - 1. Let u be r(-6). Let h be u\/(-3)*48\/104. Which is the third smallest value? (a) h (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Let a be -3*(-2 - (2 - -2)). Determine t so that -36*t**4 - t - 4 + a*t**5 - t - 4*t + 4*t**h + 24*t**2 = 0.\nAnswer: -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.4, 6\/7, 10, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-28)*(o**0)**(-28) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 61*j**2 + 3*j - 1582. Does 28 divide g(62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2. Let q(p) = -11 + 26*p + 36*p + 1 - 61*p. Determine b(q(h)).\nAnswer: -2*h**2 + 40*h - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let f(d) = 121*d**2 + 11*d - 11. Let r(c) = -61*c**2 - 5*c + 5. Let w(i) = -6*f(i) - 13*r(i). Is w(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-33)*(1 + 10)\/(121\/(-22))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 - 105363*b**2 + 2775393123*b - 2775287761 = 0.\nAnswer: 1, 52681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 17*u - 102*y = -103*y + 10, 2*y = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 41*p**3 - 18940*p**2 + 25*p**3 + 18973*p**2 to k*p**3 + h*p + d*p**2 + n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42455344*q + 48299669.\nAnswer: -42455344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, x: 3}. What is prob of picking 3 h?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o**2 - 2*o - 3. Let m be f(-2). Suppose 0 = 3*u - t - 30, 5*t + 3 + m = 5*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3597 - -3602. Calculate the greatest common factor of 17 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/6 - 31\/(-30) and -3 + (-5385)\/(-1122) - 6\/51?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 71095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -76 + (12 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -890, -2866, -6384, -11630, -18790, -28050?\nAnswer: -39596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1254420 and -73\/1240.\nAnswer: 77774040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((200\/(-375))\/(-8))\/((-170)\/(-100))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.119*-9471.7\nAnswer: 1127.1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 91, 145, 215, 307?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**7\/840 - r**6\/45 - r**4\/4 - 6*r**3 - 15. Let w(k) be the third derivative of p(k). What are the prime factors of w(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.438534 days in hours?\nAnswer: 130.524816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k + 7. Let v(l) = -169*l - 169. Let q(t) = 143*s(t) + 6*v(t). Let j(n) = 3 + n + n + n. Determine 18*j(a) + 4*q(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 153*h**2 + 1731*h - 11 - 1731*h + 30.\nAnswer: 153*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 13. Let y = s + -11. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244.133 rounded to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1708 + -1701. Let s(z) = -z**3 + 8*z**2 - 8*z - 4. Calculate s(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**7\/840 - p**6\/60 - p**4\/3 - p**3\/3 + 2*p**2. Let f(l) be the first derivative of b(l). Determine f(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61887, -123751, -185589, -247389, -309139, -370827, -432441?\nAnswer: -493969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 19087 = -18696 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*z**2 - z**2 - 33*z**2 - 28*z**2 - 47*z**2.\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5602.\nAnswer: 2, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 40*p**2 + 39*p + 60. Let t be g(39). Find the common denominator of ((-5)\/(-3))\/(t\/264) and -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -16. Let p = -37 - -37. What is the nearest to z in -5, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(2))\/sqrt(2) + (sqrt(6) - ((sqrt(864) + (sqrt(864) - -2*sqrt(864)) - sqrt(864)) + sqrt(864))))\/(sqrt(432)*1).\nAnswer: -23*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 23227.22 microseconds?\nAnswer: 23227220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048082574 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2*5 + 0)**2*-3.\nAnswer: -86400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*u = 192*u - 9864 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11933\/6 + -2014. Let k = -111689 - -75224. Let j = k + 2005512\/55. Find the common denominator of j and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -466, -470, -476, -484?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((1 - 0) + (-12 - -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 599374387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-n + 0*n - 2*n) + (6*n - 4*n - 5*n)*(22 + 10 - 2).\nAnswer: -93*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3077647620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let v be (-688)\/(-10) - (-2)\/(-10). Let m = v - 69. Sort m, w, 1\/4 in descending order.\nAnswer: w, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*8 + 1 + 2. Suppose -c = -2*d - 1. What is the lowest common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*w - 0*w + 69900000, -3*w = l + 104850000. What is w rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 30 = -15*c. Let a be (c - 38) + 4\/(-6)*-3. What is the hundreds digit of ((-30)\/4)\/(1 - a\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6131 is divided by 2038.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**3\/6 - u**2 + 40*u + 3. Let j(b) = 41 - 13 - 4 - 7 - 8*b. Give 6*j(q) + 51*x(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1622741*o - 228. Let r be b(6). Let f = -17016218 + r. Round f to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/3 and (-5172)\/5940 - 9\/(-30)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26401667703 - 9?\nAnswer: 26401667694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-108)\/3)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-31)\/(-18) + (4\/(-20))\/((-4)\/(-30)). Which is the closest to s? (a) -2\/15 (b) 0.5 (c) -3 (d) -5\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.202 - -0.342. Sort s, 1, 4.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*r + 3*l + 12, 0 = r + l - 6. Suppose -r*h - 90 = -982. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5082, -5073, -5058, -5037?\nAnswer: -5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8992047*g**3 - 3054397*g**2 - 2*g wrt g.\nAnswer: -53952282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15750000 to the nearest 100000.\nAnswer: 15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 210 = -4*z, 2*z + 3*z = 5*i - 210. Suppose g - 42 = -2*g. Calculate the greatest common divisor of g and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11944353.\nAnswer: 3, 17, 234203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.026 - 0.426. Which is the closest to -2\/9? (a) -1\/2 (b) -2 (c) 1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -192493 and -0.18951?\nAnswer: 192492.81049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**3 - 1 + 1)*(3*x + 0*x - 5*x) + 3*x**4 + 11*x**4 - x**3 + 18*x**4 to d*x + g*x**2 + q*x**4 + n + o*x**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1234 by 97450.\nAnswer: -617\/48725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5411878 is divided by 30403?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21508, 43357, 65196, 87025?\nAnswer: 108844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - f - 4*f + (0*f + 6*f - 4*f)*(5 - 2 - 5))*(-59*f + 59*f + 101*f**2) as u*f**3 + z*f + h + s*f**2 and give u.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-600)\/105)\/20)\/(-2*(-3)\/(-147)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2950269?\nAnswer: 3, 7, 37, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c - 3*c**3 - 4*c**3 + 2*c**3 + 2*c wrt c?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -7\/327 (b) 0 (c) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.1 + -37. Let j = -2.622 + 1.622. What is the fourth biggest value in j, w, -0.2, 1\/14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/6)\/((-90)\/(-405)))\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + 1846?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 519.2477 millennia in years?\nAnswer: 519247.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35197, -1, 1225 in descending order.\nAnswer: 35197, 1225, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t + 98. Let u(i) = -i - 32. Let d(p) = 7*u(p) + 2*y(p). Calculate d(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 5*v**2 + 2*v**2 + (v + 3 - 3)*(-2*v + 0*v + 0*v) + 2*v**2 - 2*v**2 - 2*v**2 - 2*v**2 - 3*v**2 + 2*v**2 + (1 + 0 - 2)*(-4*v**2 - v**2 + v**2).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a*l**4 + 36*a*l + 633*a wrt l.\nAnswer: 20*a*l**3 + 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, w: 7}. Give prob of sequence mmw.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/25, 3\/8, 147, 127, 11, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t**2 - t - 1. Let c(y) be the second derivative of -y**5\/4 - y**4\/2 + y**3 + 7*y**2\/2 - 17*y - 121. What is -c(l) - 6*q(l)?\nAnswer: -l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301219*g**3 + 37623*g**2 - 1 wrt g.\nAnswer: -1807314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 7*u**8\/48 - 6*u**7\/35 + 11*u**5\/30 - 19*u**4\/6 + 4090*u**2. Find the third derivative of c(k) wrt k.\nAnswer: 2940*k**2 - 864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-54)*(-12284 + 10070)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(1296\/2160 - (-1 + (-1596)\/(-10)))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 59. Let a be (-8)\/(-10)*(-50)\/(-20). Suppose 2*i = 4*w - 38, 0 + 34 = 5*w + a*i. Solve -y*b = 2*x - 8, -x + w + 3 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21124510 and 165516?\nAnswer: 1647711780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -16*o**6\/3 + 17*o**3\/3 + 541*o**2 - 384. Find the second derivative of n(p) wrt p.\nAnswer: -640*p**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142398*y - 142377*y = -284829*y - 5184 for y.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16805211 (base 9) in base 10?\nAnswer: -8447824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181*u**2*x**4 - 2260*u**2*x**3 + 9*u**2*x**2 + u**2*x + 3*u*x**2 - 119*u - x wrt x?\nAnswer: -4344*u**2*x - 13560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**2 - 2*w + 4. Let o be (-3 + 6)*8\/12. Let c be x(o). Let u = -2 - c. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10161826 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2669193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -6.423853?\nAnswer: 32.119265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11523 * 0.2014\nAnswer: -2320.7322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 4*a, -5*l + a = -3*a - 19. Suppose -3 = 6*y - l*y. Solve 2 - y = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:25 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 108 = -6*a, 1569*y - 2*a + 61 = 1565*y - 31 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.8 less than -494396.7?\nAnswer: -495238.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*d**3 + 3 - 496*d**3 - 5.\nAnswer: -690*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111357 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**4\/24 + 2*l**3 - l**2 - 1769. Let o(y) = -3*y**2 + 10. Give o(w(q)).\nAnswer: -3*q**2 + 72*q - 422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/11)\/((-4000)\/(-11200)). Factor -2\/11*v**2 - a*v - 98\/11.\nAnswer: -2*(v + 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = d, -f - 10 = 9*d. Let b(z) = z**3 - z**2. Let o(t) = 4*t**3 + 2*t**2 - 3*t. Give f*o(g) + 2*b(g).\nAnswer: -2*g**3 - 4*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + 1526179963?\nAnswer: 1526179962.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1885 and -104837.\nAnswer: 197617745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -550 (base 7) to base 13\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*x**3 - 11*x**3 - 23*x**3 + 5*x**2 + (5*x + 5*x - 6 + 4)*(-4*x**2 + 3*x**2 - x**2) to the form k*x**2 + j*x**3 + p + c*x and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 11*c - 12. Suppose -o + 18 = o. Let m be n(o). Solve 3*f + m = -3*t, 2*t - 8 = -2*f + 4*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 14 - 5 - -19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2. Let h(v) be the third derivative of 3*v**5\/10 - 3*v**2 - 4*v. Determine h(j(o)).\nAnswer: 648*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 - 143 - 118 - -36.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 6460 (b) 5 (c) -7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15486 and 69963.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -502*u + 500*u - 85600. Round u to the nearest one thousand.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-5 - 4) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o. Let w(q) be the second derivative of -73*q**4\/6 + q**2 - 1043*q. Determine x(w(t)).\nAnswer: -584*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let q(y) = -6*y. Let z be q(1). Let x(n) = -2*n**2 - 14*n - 4. Let m be x(z). Solve 0 = 6*v - 2*v - m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - 1.58. Let l = -0.3 + i. Let m = 1.69989 + l. What is m rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(1\/7))\/m**(-9\/2))\/(((m\/(m\/(m*m**11)))\/m)\/(m*m**1)) assuming m is positive.\nAnswer: m**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1120\/564651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419 + -419. What is the closest to s in 2, -4, -91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15844517, -31689034, -47533553, -63378074, -79222597, -95067122, -110911649?\n\"Answer: -j**2 - 15844514*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 44*k**2 + 3*k - 96. Calculate w(44).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + x. Let c(t) = 6*t**3 + 7*t**2 - 10*t. Give c(v) + 5*q(v).\nAnswer: v**3 + 7*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33291386*c**3 + 21895189?\nAnswer: 99874158*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s = -18 + 102 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864043.7 kilometers to millimeters.\nAnswer: 864043700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1027 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000105103911 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51481 is divided by 3688?\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 * -0.3.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - o + 1 = 0, -4*c + 2*o + o = 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 - -411. Let k be (-18 + 23)\/((b\/42)\/(-1)). What is the greatest common factor of k and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7789, 7785, 7779, 7771?\nAnswer: 7761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6764\/17605?\nAnswer: -6764\/17605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2679886.\nAnswer: 8039658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15172*t**2 + 4*t - 1. Let z be a(3). Let j(d) = 0 - 4 - z*d - 88442*d. Let q be j(-4). Round q to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-9))\/5*15. Let t = 2 - 2. Solve t = b - v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 7*u - 13. Let z be b(6). Let r(h) = 8*h**2 - 2. Let k be r(3). Let q = z + k. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 3*u**2 + 29*u + 21*u.\nAnswer: u**2 + 50*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 40*j = 9601116. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.9 + 16. Let n = o + 3.3. Let r = n + -0.4. What is the nearest to 0.1 in 19, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 + 0*t**3 + 2*t**3 + (5*t**2 - 5*t**2 + 4*t**3)*(0 + 4 - 2))*(t - 4*t + 2*t)*(1 + 1 + 0) as q + c*t**3 + l*t**2 + r*t + f*t**4 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*c - 2, -c - 1 = -3*h - 2. Factor -1 + j**2 + j**4 + j**5 + c - j**3 - 2*j**4.\nAnswer: j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2928 and 76552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6506.9 to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60936 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.75, 0.5, 1\/12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 14. Let h = o + -11. Let s = -1\/34501 - 68993\/310509. Put -2\/13, h, s in ascending order.\nAnswer: h, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18553, 148694, 501929, 1189804, 2323865, 4015658?\n\"Answer: 18591*j**3 + j**2 + j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i - 1\/2*i**2 - 9\/2 = 0. What is i?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -5*m - 10*m. Suppose m*x - 14 = 8*x. Solve 0 = 3*s - x + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1428\/2312*(1098\/(-378) - -3).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**8\/1344 + k**7\/56 - 19*k**6\/480 - 29*k**5\/80 - 13*k**4\/24 + 1637*k**2. Solve q(v) = 0.\nAnswer: -1, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 423426384 + -423427025.999661. Let s = a + 642. Round s to five decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1669 smaller than -1675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714 - 11*z + 714.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, d: 17}. Give prob of picking 1 r and 3 d.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -455 + 455 - 872*f + 7*f - 54*f as s*f + l and give s.\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + i - 50 = 0, 4*d - 653*i = -658*i - 69. Sort -3, -49, d in ascending order.\nAnswer: -49, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k - 18*k - 2046 = -838 + 1732 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/4)\/a)**(-34))**(-30) assuming a is positive.\nAnswer: a**(-1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -6958?\nAnswer: -6958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -215483021 - 0?\nAnswer: -215483021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 5. Let l be v(5). Suppose 405 = 3*a - 4*x, 2*x = -4*a - l*a + 518. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 5*g + 3. Let w be y(5). Let l be 4\/10 - (-73)\/5. Suppose 0 = -2*p + 1 + l. Solve -w*q = -q + p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5.8. Let n = 2 + -6. Let q = -9 + 8.7. What is the biggest value in q, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((53 - 59 - (-13 + -4)) + -2 + 10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(40)\/(sqrt(10)\/sqrt(2)))\/(1*sqrt(64) - sqrt(4)) + -4) + -2 + 2.\nAnswer: -7 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 12 + 12 + (1 + 0 + 0)*(-1 - 5 + 4))*(0 + 2 - 4)*(0*q + 0*q - 2*q)*(0*q + 3*q - 2*q).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2744 - 195.\nAnswer: -2939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.09. Let x = 3.09 - z. Which is the closest to 1\/2? (a) 4\/5 (b) 1\/6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3782 - 850. Let c = -4529 + f. Let z = 2597 + c. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 7*g**2 + 11*g - 10. Let h be n(-4). Is (7\/(14\/h))\/(24\/(-122072)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.2 - 7.8. Which is smaller: -5 or l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 29. Let p(i) = y*i + 7*i**3 + 171*i**2 - 1 - 169*i**2 - 4*i. Let r be (4 + -3)*4\/(-4). Determine p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(130)*2)\/sqrt(10))**2 + sqrt(13).\nAnswer: sqrt(13) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 833539 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -898566?\nAnswer: 85\/898566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 8*n + 2*b - 2, -3*n + 7 = 5*b. Solve -11*s + 35 = -n*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2412 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) -2\/25 (b) 78 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-24)\/j)\/j**(3\/26) assuming j is positive.\nAnswer: j**(-653\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(2 + sqrt(1300) + -2))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(sqrt(612) + -1 + -5*sqrt(612) - sqrt(612)) + -3 + sqrt(612)*-2 + (2 + sqrt(612))*-3)**2.\nAnswer: 1080*sqrt(17) + 61281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9051.6 + 7907785617.\nAnswer: 7907794668.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1629 - 1678.33. Let o = 2.53 - -46.47. Let s = o + z. Round s to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -29*b + 2. Suppose 66*g - 53*g = 13. Give c(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:29 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145095 - -50?\nAnswer: 145145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(6 + 12 - 17)*(-2*n - n + n)*(4 + 1 - 2)*(-18*n - 6 + 6) to the form b*n + r*n**2 + s and give r.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.09. Let i = 0.2 + -0.29. Let q = f - i. Which is the nearest to -0.1? (a) q (b) 2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -264918, -257 in descending order.\nAnswer: 0, -257, -264918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758257 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -18. Suppose h*s - 5*s + 12 = 0. Suppose -114 = -s*z - 5*o + 86, -o = -z + 50. Is 32 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44315671 is divided by 4431566.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3457 - -3471. Solve m*n - 20*n = 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13821*c*w - 7*c - 4*t**3*w + 6625*t**3 wrt w?\nAnswer: -13821*c - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21991.18 micrometers?\nAnswer: 21.99118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Let q = 5270 - 5268. Suppose -4*t = -2*t - q*y - 138, 3*t = p*y + 212. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552440044?\nAnswer: 2, 13, 37, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -368*b - 368. Let k be m(-1). Let i = -3 - 2. Let w = i - -5. Solve k = -w*v + v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-190)\/19)\/(260\/(-39)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 5, -2*p - 4*m = -16. Let h = p + -2. Let i(w) = -6*w - 6. Let d be i(h). Solve -5*o + d - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -65, -75, -85, -95?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1138*p + p**3 + 6 + 1139*p + 3*p**3 - 5 as u*p**2 + c + l*p + n*p**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7857 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 9431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.0988 (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 + 390*s**2 - 1197*s = 0.\nAnswer: -133, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.854.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21500 and 5375?\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 + 3. Let b be a(7). Suppose 2*j - b*l = -5, -26 = -3*j + 5*j + 4*l. Let n be -1 - (-160)\/(j + 3). Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -45952.\nAnswer: 1838.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71424, -143541, -215658, -287775?\nAnswer: -359892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42a7 + 1?\nAnswer: -42a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -12 + (-13 - -28)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*98280\/(-87750)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 399 and -0.566?\nAnswer: -225.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*s**2 - 9*s + 3802680 wrt s?\nAnswer: 56*s - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6)*(-6)\/(-4). What is the lowest common multiple of 0 + -1 + -1 - -8 and -1*(-3 + w + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287054306 to the power of 1\/2, to the nearest integer?\nAnswer: 57333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1. Let w = -43 + 44. Let a(b) = -14*b - 17. Let z(h) = w*a(h) - 2*p(h). List the prime factors of z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - 2*q**2)*((2*q**2 + 0 + 0)*(0*q + q - 3*q) + 4*q**3 - 4*q**3 - 4*q**3).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1\/6*u**4 + 0*u - 2 + 26*u**2 + 1\/21*u**8 - 2\/15*u**5 - 1\/10*u**6 + 8\/105*u**7 + 0*u**3. Factor t(k).\nAnswer: 4*k*(k + 1)**2*(2*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l + 19*l + 271*l**2 - 47*l.\nAnswer: 271*l**2 - 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khkt when four letters picked without replacement from tgkgphtpittk?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13435 and 26870.\nAnswer: 26870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*n - 6*n. Let g be n\/(-4) - 2\/8. Suppose 2*a + g*o = -13, -1 - 9 = 5*a + 5*o. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c - 3*s = -96, 45 = 2*c - s. Suppose -5*k = -20, 0 = -m - 3*k - 0*k + c. Are 1\/3 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2574 = -10*c + 20106. Suppose 0 = -4*i + 22*k - 27*k + c, 0 = 4*k. Calculate the highest common factor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/((-35)\/(-15)*(-249)\/166).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*t = 31*t - 129072 - 165750. Is t != 2979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/2059 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {v: 2, r: 7, g: 3}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 777*-0.0615\nAnswer: -47.7855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 31*r**2 + 19*r - 48. Let o be f(16). Which is greater: o or 5\/154?\nAnswer: 5\/154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231895620?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -79.05. Round a to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326079.1 centuries to years.\nAnswer: 32607910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 369805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, 97, 2, -3\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x + 6. Let v(k) = 5*k + 7. Let u(d) = 6*c(d) - 5*v(d). Give u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 23239680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*m + 427, -5*m = -7*m - 2*n + 218. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48490511 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39148756 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3208791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 126*g - 3008. Let o be t(32). Let x be 1\/(-1)*3\/184. Is o less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 63236590*i - 63236585.\nAnswer: -5*(i + 1)*(i + 12647317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/13)\/((h**6*h)\/h))**(2\/19))**(-2\/25) assuming h is positive.\nAnswer: h**(316\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.1015.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -11.8. Let j = 458451 + -458450.199974. Let i = j + r. What is i rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/16 - (-1)\/4. Suppose f = -q + 12*q + 33473000. What is q rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/2 (b) 1\/10 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 132204 from 0.9.\nAnswer: -132203.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189368 less than or equal to 1189374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, -7*y + 6 = 2*s - 4*y. Solve 3*c - 3 = s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2 - 1 + d**2 - 3*d**2. Let v(o) = -o**2 - 2. Suppose 3*g = 4 + 2. Suppose g*p + 4 = p. What is p*x(q) + 7*v(q)?\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19\/2047 - 292783\/227217. Is c greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*s**2 - 1 - 496*s**2 - 1206*s**3 + 15*s**3 + 250*s**2.\nAnswer: -1191*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -25. Let x be a*(0\/(-2) - -1). Suppose 0 = -5*h + 3*d - 12, 3 - x = 3*h - 3*d. Solve h = 2*t - n - 7 + 5, 0 = -n + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09756183 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let t(r) = 7*r + 2. Let b(u) = -119*u - 35. Let y(m) = 6*b(m) + 105*t(m). Determine z(y(q)).\nAnswer: -882*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) 57 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 98*r + 1372. Let d be u(-14). Solve -5*f = -4*k + 21, d = -5*f + 8*f - 5*k + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -109. Let m(a) = 39*a - x*a - 8*a - 14*a. Let l(k) = 4*k**2. Give l(m(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -218?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -204774341?\nAnswer: -204774344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27655 is divided by 538?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -407, -916, -1629, -2546, -3667?\nAnswer: -4992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -27*j**2 + 1022*j + 6448. Calculate z(-6).\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(23*u + 2 + 18*u - 14*u).\nAnswer: -27*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or 5044\/57?\nAnswer: 5044\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**2 - 54*o + 63. Let b be d(-7). Is 1\/2664 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 + -13 + 17 - (3 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 9:23 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**3\/3 - m**2 - 2*m. Suppose -3*v + 3 = 18. Calculate w(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 18 (b) -5 (c) 2 (d) 1 (e) 4\/437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2877108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, 23, 111, 245, 431, 675, 983?\n\"Answer: k**3 + 14*k**2 - k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(216) - sqrt(216)*1*6))\/(sqrt(324)\/(((sqrt(12) - (sqrt(12) + sqrt(48))) + sqrt(12))*1)).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by -6.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-2) + (6 - 1). Suppose 26 = 2*b - x, 3*b - 40 = -x + s*x. Let q = -5 - -10. What is the remainder when b is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 12*v - 46 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4 - -2)*-8. Let q = 28 + w. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738136.838 rounded to the nearest 10000?\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50367866*j + 43456483 wrt j.\nAnswer: -50367866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*(m\/((m**(1\/3)*m)\/m))\/m)**(9\/2)*(m**1*m)**(15\/4)\/(m**(-4)*(m\/(m*m**(-2)))\/m) assuming m is positive.\nAnswer: m**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 94 = 5*j, 3*j + 36 - 102 = 5*d + 102 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.7\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1\/6)*m**2)\/(m**(3\/10)*m**4))\/((m*m*m*m*m**3)\/m**(3\/5))**(-42) assuming m is positive.\nAnswer: m**(805\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 - 87*i**2\/7 + 1935*i\/7 - 1849\/7.\nAnswer: (i - 43)**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 10*w + 10. Let n = 183 - 186. Let z be d(n). Solve z = k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.048 - 5.748. Let u = x - -11. Let b = u + 31.7. Sort 0, 2, b in decreasing order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b762 (base 14) in base 11?\nAnswer: -486aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-4)\/(-2 + 0). Let j be a + (-4)\/(-1)*1. Put 4, j, -5 in descending order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 - 2*q - 1. Let h be j(3). Let b(i) = 6*i**2 + i**h - 5*i**2. Let y(u) be the first derivative of -u**2\/2 + 1. Calculate b(y(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-10)*(-7 - -1). Suppose 0 = r*w - 785 - 337. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-98) - 42\/(-98). Let x = l - -43\/98. Let z = 685\/507 - 3\/169. What is the smallest value in x, z, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 1. Let d be v(5). Let x = d + 27. What is the greatest common factor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooa. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1. Let y(w) be the second derivative of 2*w**3\/3 - 3*w**2\/2 - 30*w. Give -6*p(a) + 2*y(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6*4\/(-54))\/(28\/126). Let f(b) = -2*b - 4. Let w(x) be the third derivative of x**2 - 1\/2*x**3 + 0 + 0*x - 1\/12*x**4. Determine q*f(a) + 3*w(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19500574 is divided by 6500188?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (20*(-22)\/2640)\/(1\/(-2))*-54\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 7*y**4 + 12073*y**3\/3 + 46877*y**2\/3 + 31399*y\/3 - 1142 = 0.\nAnswer: -571, -3, -1, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145*b + 1380*b - 2302*b - 29882 = 0 for b.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryy. What is prob of sequence yr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -3413432510?\nAnswer: 3413432505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 3*u = -3*q - 3, u - 4 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 194*c**2 + 3 - 183*c**2 to the form w*c + o + h*c**2 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 10. Let o be 17 - 17 - (-5 + 1). What is w(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-24))\/(6\/(-36)). Let p = -1.7 + 0.7. Sort 0.3, p, k, -0.7.\nAnswer: p, -0.7, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 75 + 6 - 2*q)*(q**2 - 2*q**2 - q**2).\nAnswer: 4*q**3 + 84*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15770 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -28*j. Let t(p) = 46*p + 52*p - 97*p. Let h(k) = -k. Let w(r) = h(r) + 5*t(r). Calculate -3*l(s) - 20*w(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - -1.7. Let b = 1.6 + -1.4. What is the nearest to b in 1\/10, -2\/13, t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28629, -104754, -231635, -409278, -637689?\nAnswer: -916874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83420 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -21. Let k = -19.42 + 1.52. Let q = k - -18. Which is the nearest to h? (a) -1\/4 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106710935.\nAnswer: 5, 19, 263, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34533*h**3 - 18643*h**2 + h wrt h.\nAnswer: 207198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97810?\nAnswer: 2, 5, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 7 = -2*v, 5958*j - 5961*j = 4*v + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 0 + (-216)\/60 + 62409\/1465.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 66*n**2. Let d = 11 + -10. Calculate the remainder when b(d) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, -2 in ascending order.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6981287, 13962568, 20943849, 27925130?\nAnswer: 34906411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by -894.\nAnswer: -37\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/1625 + 120256\/4875. Calculate the common denominator of b and 85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1)*2\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*m - 70, -4*m + a + 76 = 5*a. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22319130?\nAnswer: 2, 3, 5, 17, 107, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 100. Let y be j\/4 - (10 + -5 + -1). Which is the nearest to y? (a) -1\/3 (b) 2 (c) -0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.31, -4, 79, 4?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 50 = -4*q + 5*j, 5*q = j - 54. What is the smallest value in 5, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 21. Let y be j*(-41)\/2 + (-6)\/12. Suppose y*s = 2*s + 54. Solve p = -3*g - 6, 2*g + s - 9 = -4*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 14*w = -2*j, 0 = -3*j + 2*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (17 - -1 - (42 - 23))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Let d be m*(-3)\/6*0. Suppose 3*z - 4*b = 11, 12*z + 3*b = 9*z + 39. Solve d = 4*g - 5*t + 27 - 6, 0 = 4*g + t - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104932, 104924, 104912, 104896, 104876, 104852, 104824?\nAnswer: 104792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 65 + 13 = 4*r, -2*y - r + 42 = 0. Suppose -5*f = 3*m - 56, -m + 0*f - 2*f = -y. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.21 + -1.09. Sort 1, d, 4.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -215653*v**3 - v**2 - 8*v - 3. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/14 - (128\/28)\/(-8). Solve -5*y + 3*y - 6 = 2*i, 2 = -m*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -5?\nAnswer: 184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:41 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*b + 4*b + 185, -230 = 5*z - 5*b. Let y = z - -125\/3. Let w = -6 + 4. Are w and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 42. What is the remainder when 59 is divided by c\/6 - (-19)\/(-6)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 8*t**2 - 24*t - 27. What is r(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 - 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((-1*sqrt(120))\/sqrt(8) - sqrt(45)\/sqrt(3)*1)*-6)\/((sqrt(147) + (sqrt(147) - 4*-1*sqrt(147)))*2))**2.\nAnswer: 45\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z - 22. Let b(f) = -5*f + 11. Let w(j) = -7*b(j) - 4*v(j). Suppose -8*x + 6 = -74. Calculate the smallest common multiple of w(0) and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 530 - -38533?\nAnswer: 40163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1632)\/9)\/(10\/(-405)). Let l = s - 73343\/10. What is the common denominator of 71\/(-7) + 2 - -2 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200733563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**1))\/(g**(-1\/7)\/g))**(6\/19) assuming g is positive.\nAnswer: g**(6\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1090, -1089, -1088, -1087?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:13 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -134, -195, -252?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24))\/((-8)\/(-36)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4 = 14. Suppose -5*y + 277 = g, -g = -l*g + y + 295. Suppose 0 = 3*o - g - 29. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/8 (b) 14 (c) -0.3 (d) 1\/344\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 + 18201*k**3 + 72756*k**2 = 0. What is k?\nAnswer: -6063, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17760\/56 + (9\/(-21))\/3 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 1 + 1. Let v be ((-6)\/4)\/(y\/(-4)). Let s = 5\/3 + -17\/9. Which is the biggest value? (a) v (b) s (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:03 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 27. Let b be c(29). Suppose 4*f - 9 = f. Suppose -2\/9*j**f - 2\/9 + 2\/9*j**b + 2\/9*j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011001101110 (base 2) in base 10?\nAnswer: -9838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -300*f**2 + f + 0*f**4 + 205*f**2 + 2*f**3 - 2 - 2*f**4 as c + i*f**4 + p*f**3 + o*f + t*f**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/7 + 124*n**3\/7 + 654*n**2\/7 + 152*n + 536\/7 = 0. Calculate n.\nAnswer: -2, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(8\/(-48)). Suppose 5*u - 89 = j, -l*u - 5*j + 97 = 38. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773869226.\nAnswer: 2, 13, 271, 109831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*63\/90?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 689 = 9*u. Let s(f) = -u + 0*f**2 - 18 - 2*f**2. Let r(v) = -v. Give r(s(l)).\nAnswer: 2*l**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**5 - 4477*k**3 + 1558*k - 2?\nAnswer: -80*k**3 - 26862*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 2, r: 8, b: 1}. What is prob of picking 4 y?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (28 + -47 + 27)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32873 - -29211. Is 0.2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123706446, -123706455, -123706464, -123706473, -123706482, -123706491?\nAnswer: -123706500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 36, 119, 288, 573, 1004, 1611, 2424?\nAnswer: 3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240148567.\nAnswer: 240148567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/9)\/((-4)\/(-2)). Suppose 3*y = -q + 10, 3*q - 5*y = -7*y + 9. Sort q, 4, 12, x in descending order.\nAnswer: 12, 4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -580 - -1159\/2. What is the third smallest value in 0.15, f, 0.1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**3*n)**(-9\/5)\/(n\/n**(-1))**35 assuming n is positive.\nAnswer: n**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u. Let o(q) = -q**3 + 4*q**2 - 4*q + 2. Let t be o(2). Let a(z) = -2*z**2 + 0*z**2 + t*z**2 - 2*z**2. Calculate a(f(m)).\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746424.\nAnswer: 2, 3, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5997 + 5994. Let p(g) = -10*g**2 - g. Let h(z) = 11*z**2 + z. What is i*h(t) - 2*p(t)?\nAnswer: -13*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 1. Suppose -27*w = 17*w - 484. Let h(f) = 132*f + 27. Let u(x) = 19*x + 4. Let g(n) = 2*h(n) - 15*u(n). What is w*a(r) + 2*g(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + a**3 + 0*a**3 + 3*a**3 - 2*a**3 + 3*a to the form g*a**3 + b + m*a**2 + t*a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + 5. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 67*y - 199. Let a(p) = 46*p - 133. Let h(c) = 7*a(c) - 5*s(c). Let n be h(5). Is n at least as big as 1\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206665 (base 7) in base 11?\nAnswer: 2506a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - j + 3)*(2 + 590*j + 1 - 600*j) + 8*j**2 - 75 + 75.\nAnswer: 18*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373234?\nAnswer: 2, 59, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*p + 14 + 12, -g = -2*p - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75 - 476?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*t = -76*t. Sort 4, 3, t in decreasing order.\nAnswer: 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.59 + -1.59. Which is the second smallest value? (a) z (b) -2\/3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 409, 788, 1271, 1852?\nAnswer: 2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263799561.\nAnswer: 3, 59, 587, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*j - 1 = -3*u, -5*u + j = -17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 74 - 84, 5*s - 780 = 2*p. What is the remainder when s is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38109 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161112823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -48.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -24479*n + 364. Let l(r) = -6120*r + 97. Calculate 15*l(q) - 4*v(q).\nAnswer: 6116*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.516 - -5.016. What is the third biggest value in p, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4 + 2)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 48, 30, 12, -6, -24?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {i: 3, d: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 29*p**2 + 13*p - 7. Suppose -9*b - 43 = 83. Calculate w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.9 - -34.1. Let c = 37.51 - t. Round c to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9570443 rounded to three decimal places?\nAnswer: 0.957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*t - 7, 3*t + 2*v + 58 = 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(3 - 4) + 3 + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -11374637?\nAnswer: -11374635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 23*t - 6. Let l(o) = -o + 2. Let f(s) = l(s) + z(s). Let m be f(5). What is the greatest common divisor of 159 and m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 1 - (34 + 29 - 57).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(6\/5)*s\/((s**(-2\/35)\/s)\/s) assuming s is positive.\nAnswer: s**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -979.2 - -873. Let p = -106 - v. What is the smallest value in 3\/7, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.4. Let n(y) = y**3 - 5*y**2 + 5*y - 4. Let d be n(4). Let h = 3 - 4. What is the nearest to 2\/5 in d, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 - 5 = 0. Let r = g - -16. Let i(s) = 3*s. Let p be i(1). Solve -r = w + 5*u, -6*u = -p*w - 2*u + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -2 (b) -16 (c) -278 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9472 and 130560.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 110348*o + 0*o**3 - 110348*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 293 + -226. Let s(k) be the third derivative of 17*k**5\/60 - k**4\/24 + k**3\/6 + 3*k**2. What is the remainder when a is divided by s(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/5))\/q)**(-2\/93)\/((((((q*(q\/q**(14\/11))\/q)\/q)\/q)\/q)\/q)\/(q**(10\/7)\/q)) assuming q is positive.\nAnswer: q**(168176\/35805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 17, -1, 8 in decreasing order.\nAnswer: 49, 17, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 8. Let h(n) = -n**2 + 31*n. What is h(r(b))?\nAnswer: -25*b**2 + 75*b + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -44*s - 4. Suppose 2*a = -5*b - 28, 6*b + 13 = a + 4*b. Calculate x(a).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59024277 is divided by 437.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2362*p - 3810 = 3276 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/464 and -71\/13974?\nAnswer: 3241968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 135 (b) -2\/13 (c) 4 (d) 1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (5 + -13 + 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*n - 12 = 0. Suppose 4*f + n = 24. Solve j - 20 = f*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by 5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1197896.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-2\/13)\/c)*c*c\/(c**(-1\/12)\/c) assuming c is positive.\nAnswer: c**(817\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -276 or -14035\/51?\nAnswer: -14035\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 1. Let x = 1 - 2. Let u = 34 + -42. Let f(o) = 2*o**3 + 8*o**2 - 8. Give u*r(i) + x*f(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8179 + -2.3179. Which is the nearest to 1? (a) r (b) 6 (c) -190\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) -4 (c) 87\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139*t**3 - 17076*t**2 - 9*t + 188086322 with respect to t.\nAnswer: 417*t**2 - 34152*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 15\/2*y**3 + 5\/2*y - 15\/2*y**2 - 5\/2*y**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22887, -91549, -205985, -366195, -572179?\nAnswer: -823937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - o. Let z be p(-1). Suppose -5*l = -z*r + 575, -3*l - 27 - 258 = -2*r. Suppose -k = -6*k + r. What is the highest common divisor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -31*u**2 - 1216*u - 168. Calculate the smallest common multiple of f(-39) and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5454 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -7*c - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 3*v - v + 32 - 31 - v**4 to the form d + c*v**4 + n*v + o*v**2 + s*v**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 242665, 485328, 727991, 970654, 1213317, 1455980?\n\"Answer: 242663*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/138789 and -61\/539735.\nAnswer: 4857615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*-4*sqrt(27) - (3*(sqrt(12)\/(sqrt(4) + sqrt(8)\/sqrt(2)) - sqrt(3)) + -2))**2.\nAnswer: 102*sqrt(3) + 7819\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16835 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 5) + 30 + -24 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 120, 235, 346, 453, 556, 655?\n\"Answer: -2*r**2 + 121*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 32 = -112*l + 92. Which is the closest to l? (a) 0.3 (b) -2\/15 (c) 11.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -36526?\nAnswer: 36531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**3 + 0*s - s**2 + s + s**2.\nAnswer: -16*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 190026.3 centimeters in meters?\nAnswer: 1900.263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 2, 84, -6, -165, -4 in decreasing order.\nAnswer: 84, 3, 2, -4, -5, -6, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380\/(-48) - -8 - (-255740)\/48?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**3 - 5*c**2 - 9*c - 36. Let y(x) = -4*x**2 - 25*x + 17. Let v be y(-7). Let t be f(v). Calculate the greatest common divisor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/15*35\/(-14)*600\/1680.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - (-5)\/(-3). Let i(q) = 3*q. Let b(k) = 4*k**3 - k + 5. Let f be b(2). Let t(n) = -50*n. Let a(u) = f*i(u) + 2*t(u). Calculate a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*c = 11*c + 105, 24*c - 26*c = 7*r + 36 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1108668 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27710317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905687.\nAnswer: 3905687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(216)*-2)\/(5*sqrt(2)*2) + (sqrt(18)*-1)\/sqrt(6) + sqrt(48)*1.\nAnswer: -2 + 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18552475, 37104966, 55657471, 74209996, 92762547?\n\"Answer: b**3 + b**2 + 18552481*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 + -114.94. What is the biggest value in u, -3\/8, -0.02?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*a - 69, 68 = -5*g + 3*a - 13. Let z be g\/(-3)*(3 - 2). Suppose 0 = 3*p + b - 10, p - 3*b = z*p - 20. Solve -2 - p = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4127162535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (140\/42 + -8)*(-32)\/84. What is the second smallest value in y, -5, -4, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 5 - 3 - 1 - c**3 - 5*c - 6*c**2. Let y be a(-4). Sort y, -1, 0 in increasing order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + 1*sqrt(117) + sqrt(117) + -5 + -1*sqrt(117) + sqrt(117))*6 + 1 + (-1*sqrt(117) + sqrt(117))*1 + -2*(sqrt(117) + 1))*-5)**2.\nAnswer: -1500*sqrt(13) + 292525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 1357?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53645 and -2244?\nAnswer: 120379380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t - 11. Let d(l) = l. Calculate -6*d(s) - r(s).\nAnswer: s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 124256 - 27980. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minus 387.714595?\nAnswer: -337.714595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -105 (b) 1\/3 (c) 5 (d) 0.01 (e) -2334\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34129.\nAnswer: 34129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31*-10.63052\nAnswer: 329.54612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509820 is divided by 127360.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4288258841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4941.763 centuries?\nAnswer: 494.1763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**2 - 4*x - 2. Let d be m(4). Which is the biggest value? (a) d (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 73*k**2 + 41*k - 169. What is f(36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4 + -9 - (-1 - 3). Differentiate -18*x + c*x + 14 - 8 + 24 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6625*x**3 + 6571*x**3 + 6210*x**3 - 19835*x**3.\nAnswer: -429*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1398, 1406, 1424, 1458, 1514?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 + 11*x. Let z(y) = 4*y. What is m(z(a))?\nAnswer: -48*a**2 + 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 29\/636?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*s + 36 = 0, 0 = 5*h + 2*s + 21 - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*u - 47568 = 89*u - 10611 + 14723 for u.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 9 = -p, -x - 243 = -5*p - 225 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 678688*t.\nAnswer: 4*t*(t + 169672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + n**2 - 4*n + 8. Let v be s(-3). Let g be (0 + -1)\/(v\/8 - 0). What is the third biggest value in -5, 7\/2, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271*n**4*o**3 + 2*o**3 + 906*o**2 wrt n.\nAnswer: -1084*n**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2 + 1 - 6*c**2 + c + c**3 - 5. Let z be m(6). Suppose -3*o + f + 11 = -z*f, -2*o - 2*f = -34. 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 s(y) = 15555*y**2 - 5*y - 24. Let a be s(-3). Let p be (a - -14)\/((-3)\/30). Round p to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feffffefffffefewee. What is prob of picking 1 e and 1 w?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 156c?\nAnswer: -1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)\/(1\/(-2)). Let s(v) = 1. Let n(o) = -6 - 1 - 7 - 8 + 25 + 7*o. Let w(x) = 11*x + 4. Let z(b) = 3*n(b) - 2*w(b). Determine u*z(r) - s(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3840443 to four decimal places.\nAnswer: -0.384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8262 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42578 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 76. Let k(c) = c**3 + 14*c**2 + 21*c + 5. What is the units digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/2 - 23\/6. Suppose -10*l - 8*l = -14*l + 8. Let u = -2 + 1. Which is the smallest value? (a) -0.3 (b) u (c) l (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1759484a + -7?\nAnswer: -17594856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 5*t - 12. What is o(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18840, -37593, -56254, -74823, -93300, -111685?\nAnswer: -129978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13d25b7 (base 15) in base 13?\nAnswer: 2c7ba04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -1 (b) -0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3708, 7417, 11126, 14835, 18544?\n\"Answer: 3709*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**7\/105 + d**6\/15 + 4*d**5\/25 + 2*d**4\/15 + 8*d. Factor l(r).\nAnswer: 2*r**2*(r + 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 5*h**2 + 5. Suppose -5*c + 10 = 0, -5*c - 13 = 4*o - 3. Let d(k) = -3*k**3 - 7*k**2 - 7. Give o*d(b) - 7*t(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*n - 97785 - 162071 = 0. Calculate the remainder when n is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(153) - (2*sqrt(153)*1 - sqrt(153)))*-5)\/(sqrt(9)*-1*-3 + sqrt(252)\/sqrt(7)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/290*(-15)\/9.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k - 3 - 12*k + 2*k - 4 + 10*k.\nAnswer: -26*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 47*g**2 - 2*g. Let l be o(1). Let x be ((-10)\/l)\/((-2)\/363). Let h = -41 + x. Sort 1, h, 6 in ascending order.\nAnswer: h, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 22*f - 58. Let y be v(6). Let r(c) = 6*c - y - c - 2*c + 76. Calculate r(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + f**2 + 3*f - 4*f - f - 2. Let a be y(-2). Solve -a*l = -2*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.932 - -3.068. Let g = -8 + 14. Let w be 0 - -4*2\/(-12). Which is the second smallest value? (a) k (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 - 14.2.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -13\/6*l**3 + 0*l - 23 + 25\/2*l**2 - 3\/8*l**4. Let q(j) be the second derivative of o(j). Differentiate q(x) wrt x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17436 is divided by 672?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021648 rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, 0, 213, -1, 4, 2 in descending order.\nAnswer: 213, 5, 4, 2, 0, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiociioocio?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-3944)\/87))\/(8\/(3968\/12))*4.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(847)*-3)**2 + (-2 + sqrt(847)*1)**2 + 1*(-3*(-3 + sqrt(847)))**2 + 3.\nAnswer: -638*sqrt(7) + 199133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7445 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*n - 727*n + 1453*n + 2*n**3 - 80*n**2 - 4*n**3 + 47*n**2.\nAnswer: -2*n**3 - 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - 12\/36. Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133.703 decades in centuries?\nAnswer: 213.3703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqqgqsqqsqssqqqqss. What is prob of picking 2 q?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 463\nAnswer: -4\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 9*z - 9. Let l(h) = 18*h**2 - 21*h + 49*h - 17*h**2 - 20*h - 5 - 12*h. Determine -3*b(u) + 5*l(u).\nAnswer: -u**2 + 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*b + 3*p, 6 = b + 5*p + 1. Let z = -1 - -3. Suppose 0 = 2*s + z*s - 148. Calculate the remainder when s is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -382, 4, -1 in descending order.\nAnswer: 4, -1, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 956 in 0.2, -65\/4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8781 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22311 - 20?\nAnswer: -22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.1, -2\/237, -4?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229307 and 5642?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 133?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -53.89. Let z = -0.25 - 0.3. Let x = z - s. Round x to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 42*m - 26 = -234 - 206 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.12 - -2.52. Let z = 4307\/10526 + -4\/277. Let y = -2\/19 - z. Sort -3, g, y in increasing order.\nAnswer: -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 - 153*c**2 + 35*c + 165. What is the tens digit of j(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 4255*t**3 - 4429*t**3 + 0*t**2 - 95 + 95.\nAnswer: -174*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 5*o**4\/12 - o**3\/2 + o**2\/2 - 2*o. Let a be g(2). Solve 0 = 3*q - 0 + a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 2. Let t be j(-5). Let h = -1036 + 1060. Calculate the highest common divisor of t and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/7 + 31124*m**2\/7 + 467202*m\/7 + 1682316\/7 = 0. What is m?\nAnswer: -9, -6, 15577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123102 times -26?\nAnswer: -3200652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1)*((-10)\/2 - -2). Let w be ((-18)\/630*-7)\/((-2)\/(-30)). Suppose -k - 2*k + 12 = 0. Solve m = -k*y + w*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 5*s, -2*v - 23 = -4*v + 5*s. Suppose 4*d = -5*w + 3*w + 12, 2*d + 18 = 5*w. Put w, v, 5 in ascending order.\nAnswer: v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - 6) + (3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3751701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = s + 4, -x = -6*x + 25. Let l(w) = 2*w. Let v be l(s). Solve 0*n - v*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s - 0*s - 4*v, -3*v + 16 = -4*s. Let j(y) = -7*y + 105. Let g be j(28). What are the prime factors of s\/26 - 10024\/g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/171 - 161\/855. Let a be (-3)\/3 + 2 - 0. What is the closest to a in 1\/6, d, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 3*h**2 + 3707*h + 18586. What is z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98633\/12 + 8208. Calculate the common denominator of m and 11\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1075465\/26 + 41359. Let g = 1013185 - 92200937\/91. Let t = g - u. Find the common denominator of t and -73\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -67, -93, -119, -145, -171?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13554 (base 6) in base 7?\nAnswer: 6202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 + 59*s**4 + 7378*s**3 - 34*s**2 - 3*s + 9127.\nAnswer: 120*s**2 + 1416*s + 44268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 + 4*r**4 - 6*r**4 + (9 - 24*r**2 - 9)*(-5*r + 20 - 20 + r**2).\nAnswer: -22*r**4 + 120*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 12*k - 20. Let m be c(9). Let j(d) = -d**2 + 9*d - 12. Let p be j(m). Sort -12, p, 3.\nAnswer: -12, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 580\/1241 or 1?\nAnswer: 580\/1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 12. Let d(p) be the second derivative of -2*p**3\/3 - 22*p. Calculate d(y(l)).\nAnswer: 4*l**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 30*f - 62 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/226 != 213.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 11011?\nAnswer: 10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05066 * -0.175.\nAnswer: 0.0088655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -1 + (-3)\/2*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*z + 5*s, 0 = 9*z - 7*z + 678309*s - 678308*s - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7794\/315*10 - (-6)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*84\/9. Let g(m) = 3*m**3 - 19*m**2 + 56*m - 1. Let v(w) = 2*w**3 - 9*w**2 + 27*w. Let z(b) = -3*g(b) + 5*v(b). List the prime factors of z(u).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000768784 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.1. What is the nearest to j in 0.4, -3, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -267 and 37\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -9*s + 369. Let m(x) = -x**3 - 8*x**2 - 7*x + 8. Calculate m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -384 or -394?\nAnswer: -384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.9 take away 436.4?\nAnswer: -476.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-8) + (-81)\/(-108) - 34863\/(-6). Do l and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Let m = -0.3 - -0.1. Let p be 11 + -12 - (0 + 4). Which is the closest to j? (a) m (b) -2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 3490576685\nAnswer: -3490576684.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 58 + 102 = 0. Calculate the common denominator of 1 + (-369)\/108 - (2 - 1) and ((-8)\/j)\/((-32)\/(-58)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 840*n**3 - 6*n**4 + 2*n**5 - 32 + 3*n**4 + 3*n**4 + 121*n**3 - 2*n**2 wrt n?\nAnswer: 120*n**2 + 5766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6*65\/91*357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 2*v**2 + 17\/2*v**3 + 0*v - 1\/60*v**5 + 0 - 1\/24*v**4 - 1\/120*v**6. Is o(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -535 - -1220. Suppose -152 = -3*b + 4*i + 282, -p = -5*b - i. Calculate the remainder when b is divided by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 143*b**2 + 3334*b + 1922. What is u(-114)?\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.3 - -8.3000264. What is x rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 28. Suppose n - 3 = b. Suppose n = 5*u - 4*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221111 + -2?\nAnswer: -1221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 5*m**3\/6 - m**2 + 4*m + 24. Let q(y) = -3*y. What is q(h(t))?\nAnswer: -15*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-100)\/6)\/(14\/(-21)). Let y = 22 + 4. Let g(i) = -i**2 - 2*i**2 - l*i + y*i. Give g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215374?\nAnswer: 2, 107687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.055, 42 in decreasing order.\nAnswer: 42, -0.055, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 4337165.\nAnswer: -4337164.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/9247920 and 37\/210180.\nAnswer: 9247920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/1 - 3 - -64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w + 1. Let g be j(1). Let y = -8169 + 8181. Calculate the greatest common factor of g and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i**4 + 2*i**4 + 2*i**4)*(4 - 1 - 1) + 6*i**4 - 6*i**4 - 10*i**4 in the form k*i + d + p*i**4 + v*i**2 + n*i**3 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.026 (b) -29 (c) -179\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/((-830)\/7304)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400044 by 106.\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 0.2, -4, -0.08 in decreasing order.\nAnswer: 111, 0.2, -0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 - 3) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + 2.8. Let l = -23 + 22.8. Which is the third smallest value? (a) l (b) -1 (c) -5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34, 70, 106, 142, 178, 214?\n\"Answer: 36*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1284.914 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/4 + 9*l**2\/2 - 15*l\/4.\nAnswer: -3*l*(l - 5)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z - 3*z - z + 3*z + (1 + 0 - 3)*(2*z - 5*z + 2*z) + z + 2 - 2 + 2*z + 2 - 2 - 3*z + 3*z + z)*(7 + 5*z - 3 - 10)*(-1 + 2*z**2 + 1).\nAnswer: 40*z**4 - 48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 13\/2207185?\nAnswer: 13\/2207185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+87183448\nAnswer: 87183447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(40\/(-3))*70400\/17280\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1ae5 (base 16) to base 4\nAnswer: 1223211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8120 = -13*v + 9*v. Let y be v\/12 - 3\/9. Let n = -168 + y. Is n bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhtrrjthtr. What is prob of sequence hrh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/130081664 or -1?\nAnswer: 1\/130081664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 28, 21*g - 18*g - 104 = -2*a. Solve k - 26*i = -g*i + 12, -2*i = -k - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595781, -595770, -595753, -595730, -595701, -595666, -595625?\nAnswer: -595578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*m - 76 + 796 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70482262 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 32. Suppose -3*z - 52 = 2*z - 2*b, -1 = -b. Let m be f(z). Let k be 476\/(-840) - 2\/(-12). What is the second biggest value in 3, k, m, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66) + (sqrt(66) + (sqrt(66) - -3*sqrt(66)*4) - sqrt(66)))\/(-5*sqrt(96)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + -103 + (-25 - -28 - (6 - -1))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -31015, -72, -1 in ascending order.\nAnswer: -31015, -72, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -100, -3, -2, -5, 13 in decreasing order.\nAnswer: 16, 13, 4, -2, -3, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/(11\/(-6)) - (-105)\/(-6) and -52\/57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7))**(1\/7) assuming j is positive.\nAnswer: j**(-3\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -0.1989 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*v**3 - 3*v**2 + 230?\nAnswer: 171*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l - 5. Let w be g(-4). Suppose w*z = 13*z + 7318. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 59\/3, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiicnijjniinjjwcqci. What is prob of sequence cq?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 367875227 to the power of 1\/2, to the nearest integer?\nAnswer: 19180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 - 3*k**2 - k**2 + 2 + (-2*k**2 + 2 - 2)*(-10 + 0 + 21) in the form p*k + m + y*k**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**2. Let y(u) = 1788392*u**2. What is y(a(s))?\nAnswer: 257528448*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -54.2. Let v = u - -0.5. Let f = 58.9 - 59. What is the second smallest value in -5, f, 2, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-9)\/(-6)*(-260)\/(-1170)*4\/(-3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 493579190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 9)\/(11\/264*-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 53*w**2 + 59*w + 37. Let g(v) = 18*v**2 + 21*v + 13. What is 17*g(x) - 6*n(x)?\nAnswer: -12*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 plus 0.1?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 3}. Give prob of sequence vuu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cb80384 + -5?\nAnswer: cb8037d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 0.3864.\nAnswer: 0.030912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 11 = 77*r - 78*r, 4*o = 5*r - 9. Solve -o*u + 3*x + 19 = 0, 0 = -2*u + x - 1 + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 take away -72.111?\nAnswer: 72.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -1\/4*r**4 + 21\/2*r**2 - 16*r + 3*r**3 + 1. Solve f(x) = 0 for x.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*i - 0 - 5, -i = 1. Put -40, j, 3\/10 in decreasing order.\nAnswer: 3\/10, j, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3443 - -7122. Is p a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**2 - 3*p - 2. Is i(-2) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2 + 2)*(-3*q + 0*q + 0*q) - q**3 + 0*q + 0*q.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q + 1823. Let z be y(0). Suppose -z = -23*h + 10643. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y - 3. Let n(h) = -7*h + 4. Let q(c) = c - 6. Let a be ((-6*3)\/3)\/1. Let g be q(a). Let f be (-32)\/g + 2\/6. Give f*n(i) + 4*d(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9920998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 8. What is v(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16654397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 5 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151008 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6821609 divided by -71?\nAnswer: -96079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njyk when four letters picked without replacement from wywkunwyjwwy?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51391, 108063, 164735, 221407, 278079?\nAnswer: 334751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.3. Let d = -59 - -61. Let y be (d\/45)\/(6\/60*-2). Sort y, p, -0.9 in descending order.\nAnswer: p, y, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.8803 litres to millilitres.\nAnswer: 8880.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 19 - -13) + 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 (base 13) in base 10?\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-225)\/(-63) - 3\/(-7). Suppose s*y - 5*y = -178. Is (-3)\/6*-1*y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let j be 0*1\/w*-1. Is j less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207023593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -90. Calculate the remainder when 132 is divided by j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70274058 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 514 - 220 = 229 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39*(-6)\/45*(-10)\/4. Suppose -g*a + 220 = -9*a. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -28.5. Let q = -0.15 + -6.85. Let x = j + q. Round x to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 61\/3. Let o = 0.2 + -0.4. Which is the nearest to p? (a) -1 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n + 8*n + 560 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 - -0.1. Let n = -1.891 + d. What is n rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 17 = -10. Find the common denominator of (-90)\/8*(-5)\/6 and c\/1 + 65\/190 + -2.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 15*u + 28. Let b be j(-5). Solve -3*w + w - 4*d = -4, 0 = 3*w - b*d + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1676 + 1445. Let z be ((1\/(-2))\/((-66)\/r))\/(-1). Factor 1\/4*g**4 + 1\/4 + z*g**2 + 9\/8*g + 9\/8*g**3.\nAnswer: (g + 1)**2*(g + 2)*(2*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-12)\/(-5))*(-6)\/(-70).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037223743 to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8302 + -4743. What are the prime factors of h?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17334 + 17134.78. Let h = 195 + i. Let j = -3.5 - h. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2091082 (base 10) to base 13\nAnswer: -582a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 26 = 35*b - 66. Solve 0 = 4*c + h + 13, -3 = -c - h + b*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**40\/d)\/d**(2\/23) assuming d is positive.\nAnswer: d**(918\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*r = -0*r - 6, -10 = 5*b - 3*r. What are the prime factors of (3 + b + 0)*(-523)\/(-1)?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205852 is divided by 2288?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - t**2 + 1 + (1 - 1 + 2)*(-317*t**2 - 129*t**2 + 16*t**2) in the form w*t**2 + f + i*t and give w.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-88)\/20 - 4\/(-10). Let s = -7 - j. Let z(w) = w**3 + 3*w**2 - 4*w - 1. List the prime factors of z(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307979270.\nAnswer: 2, 5, 103, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (224\/392)\/((-6)\/63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 + 4*z - 2. Let a be r(4). Let n(c) be the third derivative of c**6\/60 + c**5\/20 - c**4\/24 - c**3\/3 - 6*c**2. Calculate n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in -1, -1.8, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p + 0 + 1\/6*p**3 + 4*p**2. Let i(h) = 3*h + 25. Let w(a) = -2*i(a) + 7*r(a). What is w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 448 = -4*z, 5*r - 22 + 134 = z. Suppose -4*k - 3*u = -z, -112 = -0*k - 4*k - u. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7617620 and 140.\nAnswer: 53323340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 38.9. What is the closest to b in -0.5, -0.1, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 218407.63 days?\nAnswer: 31201.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 12. Let a = -79 + 84. Sort -3, 4, a, g in descending order.\nAnswer: g, a, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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: Simplify ((c*c**(3\/4)*c\/((c*c**(-2\/23))\/c*c))\/(((c*(c*c**(-16))\/c)\/c)\/c)**38)**(24\/13) assuming c is positive.\nAnswer: c**(357606\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3331*c + 0 + 3578*c)*(4 - 1 - 2).\nAnswer: 247*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let p(i) = i + 2. Let z(s) = -1. Let d(h) = p(h) + 2*z(h). Let r(v) = 6*d(v) - 7*w(v). Let f(g) = -g**2. What is r(f(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28808 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) 5\/3 (c) -2\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 99500001731 and -18.\nAnswer: 99500001713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2)*-2 + (2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/14)\/((-15)\/70*2\/3). Which is the closest to 1\/4? (a) -0.3 (b) u (c) -27.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -290?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v**2 - v - 2. Let i be 2*(0 + (1 - 0)). Let h be l(i). List the prime factors of (-1)\/((4\/19)\/h).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1340 + 2?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -3\/4, 2\/43, -1, 134\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -h - 0*h - 20, 3*b - 25 = 2*h. Suppose 4*j - 8 = 3*g - 4*g, -b*g + 4*j = -16. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 992, 3974, 8944, 15902, 24848?\nAnswer: 35782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 10. Let o be 6\/10 + (11 - 420\/75). Determine k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n*n\/(n*n*n**(-6)))\/((n*(n**(1\/2)\/n*n)\/n)\/n*n*n**(-2\/7)))\/((n*n*n\/(n\/(n\/n**(2\/7))*n))**(-49)\/(n**1\/n)**(-8)) assuming n is positive.\nAnswer: n**(1299\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.45 + -30.6. Let c = -11.150001422 - w. Round c to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -n - 4*x, n + 1 + 0 = 5*x. Suppose -n = -3*b - 27. Let d = -2.06 - -2. Put b, -3, d in decreasing order.\nAnswer: d, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46973 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 22 - (-1194 - -1207)) + (0 - -8)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 497406 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:53 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9810 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26567054 - 6?\nAnswer: -26567062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285 - 59*s**2 + 318*s**2 + 180*s**2 - 278 to the form x*s**2 + c + z*s and give x.\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (4\/(-6))\/(7\/(50316\/(-8)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 4*o + 3. Let u(z) = -4*z**3 + 9*z + 7. Let p be 7\/((-5 + 6)*-2 - -3). What is p*f(n) - 3*u(n)?\nAnswer: -2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 + -9 + (1 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (400 + -406)*(-20)\/108?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 1441 = 122*a + 559 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 + 3*p + 2. Let n(s) = s**2 - 11. Let k = 25 + -22. Let x be n(k). Calculate m(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7605\/(-135) + 55 - 282\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/478 or -1?\nAnswer: 7\/478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21470*o. Let b(d) = -2*d**2. What is b(a(g))?\nAnswer: -921921800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 8*g**2 - g + 3. Let p be o(8). Let v = 0 - p. Let q(y) = y**3 - 6*y**2 - 3*y. Let b(x) = x**3 - 7*x**2 - 4*x. Determine v*b(r) - 6*q(r).\nAnswer: -r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Suppose 4*q + q = 15. Let u be d\/(5\/q) + -7. Which is the biggest value? (a) 0.2 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/24 - d**5\/4 + 5*d**4\/8 - 5*d**3\/2 + d**2 - 21*d. Is u(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*l - 9 - 1 = 0, -2*r + 2*l = -10. Let j = -6 + 10. Solve r*h - j*w - 17 = 0, 8*w = -2*h + 4*w - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 + 1\/2*k**2 - 1\/2*k**3 - 60*k. What is y(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121332779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383843508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 816791 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {b: 7, k: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38.8? (a) -4\/7 (b) -2 (c) 11453 (d) 3 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2111491, 2111448, 2111391, 2111314, 2111211, 2111076, 2110903?\nAnswer: 2110686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17537870*l**4 - 42023943*l?\nAnswer: -210454440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:06 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 6:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**3 - k**3 - 2*k**2 + 14*k**2 - 16*k**2 + k - 54 wrt k.\nAnswer: 30*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - h**3 + 4*h**2 - 10 + 6*h**2 - 6282*h + 8.\nAnswer: 2*h**3 + 10*h**2 - 6282*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -502*x**3 + 233 wrt x?\nAnswer: -1506*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/11, -2665\/83, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 777185897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + a**2 - 1.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -23. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 86.00000012. What is z rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10504 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/5 + 4*p**4\/3 - 10*p**3\/3 - 36*p. Factor m(y).\nAnswer: 4*y*(y - 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22617, 45338, 68153, 91062?\n\"Answer: 47*q**2 + 22580*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25643 - 25643. Let q = 6 - 4. Suppose -3*d - 2*m = 6, y = q*m + 10 - 4. Solve 3*r + 5 = h - 0*r, d = -4*h - r - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 81.81.\nAnswer: 81.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 - 7*l + 9. Let m be z(2). Which is the third smallest value? (a) m (b) 2\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 31*y**2 + 3*y - 12. Suppose 27 - 30 = -m. Let j be o(m). Suppose 0 = -2*w + j - 22. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*i**3 + c**3 + 3218*c**2*i - 1414*c*i**5 wrt i.\nAnswer: 6*c**3*i - 28280*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33157154 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*g + 5*u = 311*g - 2, u + 18 = -5*g - 0*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11932 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*i - 7245 = 3*l, 3*i = 2*l + 3639. Let f = 19981\/11 + l. Which is smaller: -1\/4 or f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60669.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.2. Let a be (-40)\/(-144) - 2\/(-9). What is the second biggest value in a, 5, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*h*i*w - 319208*h*i - 134*h*w + 9*h - i*w - 16*w wrt w?\nAnswer: 15*h*i - 134*h - i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 793516 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-30252.\nAnswer: -60504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3. Let i be n(-1). Solve 20 = i*d + 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79441340 by -5.\nAnswer: -15888268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 475?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*u - 60 = 448*u. Let q(c) be the second derivative of -8*c - 13\/12*c**4 + 0*c**3 + 0 + 0*c**2 + 1\/5*c**u. What is the third derivative of q(b) wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 30760103*l - 30760104*l - 92*l**2 + 2 - 2*l**3 to the form j*l**2 + t + k*l + h*l**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 2*d - d)*((5*d**3 - d**3 - 2*d**3)*(3 + 0 + 0) - d**2 + d**2 - 2*d**3)*(1 + 1 + 1) in the form c*d**3 + j*d + z + u*d**2 + k*d**4 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - ((-1788)\/199)\/3. Let d = 604\/1393 + k. Which is greater: d or -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 0.27. Let q be 2\/((-32)\/286) + 0. Let x = q - -18. Which is the biggest value? (a) g (b) x (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 0.6. Let q(h) = -3*h - 1. Let r be q(-1). Suppose n - r*s + 4 = 0, 3*n + 4*s = 6*n + 4. What is the third smallest value in 0.2, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from ieciikfckezk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.7 - -17.3. Let x = i + -1.6. Let m = x - -19.5. What is the third biggest value in m, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*k**2*m**2 + 5*a*k**2*m - 302*k**2*m**2 wrt a?\nAnswer: k**2*m**2 + 5*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (403\/(-4) - 1)\/((-17)\/(-68)). Let y = l + 423. Solve 0 = -5*j + i + i + 8, 0 = -5*j + 4*i + y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 8*j. Let n be z(-6). Suppose -2*k + 12 = -2*y + k, -n = -y - 3*k. Let r be (0\/((38\/(-57))\/(2\/6)))\/2. Is r greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32103, 31895, 31687, 31479?\n\"Answer: -208*b + 32311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150930 = 3*x - 150105. Suppose -4*s - 3*b + 79649 = -x, -3*s = -2*b - 135004. Suppose -3*q = -0*q - s. Round q to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948720 is divided by 133?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 5 - (59 - 64 - (-2 + 1) - -28).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 14 + -14 + 2 + 19.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8274 divided by -6\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 + 32*y - 6. Suppose 2*g - v = -20, 5*v - 36 = -3*g - 40. Let m(l) = -4*l**2 - 11*l + 2. Determine g*m(h) - 3*t(h).\nAnswer: -h**2 - 8*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 40 = 4*d, 4*y - 25 = 2*y - d. What is the highest common factor of 228 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 58?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**4\/24 - y**3\/6 + 13*y**2. List the prime factors of w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 + 238.5. Round m to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -7, 10, 47?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -337*c + 38693. Determine s(113).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paap when four letters picked without replacement from {a: 9, p: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -1\/40*z**6 + 0*z**4 + 0 + z**2 + 1\/30*z**5 + 0*z + 0*z**3. Find the third derivative of p(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.119 - 51965.881. Let t = r + 52027.0042. Let y = t + -52. Round y to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 655670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -21 - (3 + -3)\/(-3). Let f be (13 + u)\/(1*-2). Suppose f*s - 156 - 688 = 0. Is s 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 nngnnnunnnjunjmjqu. What is prob of sequence qu?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745 is divided by 57.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/40 - 3 - 8\/(-4). Which is the second biggest value? (a) j (b) 0.01 (c) 1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54637942 times 2\nAnswer: 109275884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 5*g - 2. Let d be p(4). Suppose d*l + 68 = 2. Let t = l + 50. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 686*p**4 + 96824*p**3 - 83328*p**2 + 23840*p - 2272 = 0.\nAnswer: -142, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42521 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*t + 100*t + 88*t to the form v*t + r and give v.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.03 - -0.03. Let k be (-7 - 3) + 6 + 8. What is the nearest to 1\/3 in k, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**4 + 111*a**2 + 23*a**4 + 1 - 114*a**2 wrt a.\nAnswer: 312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**3 + 12*q**2 + 2*q.\nAnswer: 2*q*(q + 1)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -13 - (-3)\/(-1). Suppose -71 = -2*s - 3*o + 86, 3*s - o = 241. Calculate the greatest common factor of s and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.45443 rounded to zero decimal places?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 2, g: 7, s: 4, m: 3, z: 1}. Give prob of picking 3 g.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*g + 16, 19*g = z + 678 - 587 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 20*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950.7913ug to kilograms.\nAnswer: 0.0000009507913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wpwwppcwpwppww?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*d + 4 = 8, 0 = d. Let a be (-10)\/((t - -2)\/(3 + -4)). Let q = 42 - -3. What is the greatest common divisor of q and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 - -164. What is the closest to -3 in k, 4\/7, -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4704080 by 2540.\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 7*p + 10. Determine y(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*1 + -34 + 26. Let s(j) = 3*j - 7. Let n(q) = 9*q - 20. Give y*s(l) + 4*n(l).\nAnswer: 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-10)*2*25\/60.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**5 + p**4 + p**3 - 1. Let r(j) = -13*j**5 + 4*j**4 + 4*j**3 + 4*j - 4. Let z(h) = -r(h) + 4*s(h). Find the second derivative of z(f) wrt f.\nAnswer: 180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-4 - -13) - (9 - 14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 16*u + 2240 = 0. Calculate u.\nAnswer: -40, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -45979.3 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275 + 275 + 90*g + 3 + 2*g - 3 + g + g - 3*g + 2*g - 4*g + g + (-1 + 0 + 3)*(-5*g + 0*g + 3*g) + 2*g - g + g to the form m*g + a and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9))**(4\/5)\/(b*b\/((b\/(b\/b**(-2\/3)))\/b)*b*b*b)**(-26) assuming b is positive.\nAnswer: b**(7808\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 10*c**2 + 11*c - 15. Calculate g(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (9 + 1 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3721 + -3719. Solve 4*f + 0*f + 3 = 3*m, -9 = -u*m + 5*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-4) + (-11234)\/328. Sort a, 5, -0.2, -4 in decreasing order.\nAnswer: 5, -0.2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 303 + 1722*i - 303 as o*i + c and give o.\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283504 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n + 33711 - 33279 = 0. Let y(d) = -3*d**3 + 4*d**3 - 7 + 9*d**2 + 2*d - 4*d. Give y(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710981.7 kilometers to micrometers.\nAnswer: 710981700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -56. Suppose b - 12 = -4*c. Factor 2*o + 2\/3*o**c + 2\/3 + 2*o**2.\nAnswer: 2*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 16*j - 188. Let z be r(-6). Let p = z + 270. Put 3, -4, -2, p in ascending order.\nAnswer: p, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4645*w - 120789. Give c(-26).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93009441 to the power of 1\/2, to the nearest integer?\nAnswer: 9644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10*u - 14*u - c, -3*u - 5*c - 20 = 0. Solve -2*d = 2*a + 12, u = a + 4*a - d + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26) + (-9 - (-3090)\/312)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + l**2 + l + 5. Let o(t) = 30 - 4*t**3 + 27*t - 22*t - t**3 + 5*t**2 + 0*t**2. Let v(r) = -35*i(r) + 6*o(r). Let v(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 2320301133?\nAnswer: -2320301200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 32*l + 155. Let r be p(7). Suppose r*a + 2465 = 34*a. Calculate the remainder when a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 1. Let w be b(2). Let a(i) = -11*i + 7. Let m(l) be the third derivative of -5\/24*l**4 + l**2 + 0*l + 1\/2*l**3 + 0. Determine w*m(s) - 3*a(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 88. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 - 7*l**2 + 6*l**2 - l**2 - l**3 - l. Let v be c(-1). What is the common denominator of -77\/30 and (v - 3) + (29\/(-27) - 1)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 10*o - 10. Give b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5.12. Let y = i + 0.02. Let s = 1\/13 + -29\/39. What is the closest to -2 in s, y, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -121. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/2*-15*-3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + 205\/820 + 355\/20?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*f - 7 = 0. Let k be 4 - (f\/(-2))\/(2\/8). Suppose 2*n = k*n - 1972. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-3*z + 6*z**3 + 3*z) + 0*z**3 + 3*z**3 + 4*z**3.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3 - 1269732*s**2 + 1269728*s = 0.\nAnswer: 0, 1, 317432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/13)\/l)\/(l*l**(12\/11))*l**(25\/3)\/(l*l**(-27)\/l) assuming l is positive.\nAnswer: l**(13634\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/((-2)\/((-1390302)\/(-3))). Let s = h - -17881505. Suppose -3*f - 2636068 = 3*j + s, -4*f + 5799992 = -2*j. Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*i - 6 = 0, 4*q - 2*i + 5*i = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 47*y - 54*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*s = -58 + 11, -211 = 3*d + s. Let t = 167 + d. What is the remainder when t is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5 - 50*c**4 + 10*c**3 + 640*c**2 - 1085*c + 490 = 0. Calculate c.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366407.\nAnswer: 131, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/400 and 17\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (364 + 347 - 3*x - 737)*(11 + 3 - 4).\nAnswer: -30*x - 260","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 9. Determine t(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*v + 5, 5*w - 11 = 5*v + 27 - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39691776 and 1536?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**3\/3 + 3*h**2\/2 + 4*h + 5. Let f = 2 + 1. Let p be b(f). Solve 3*k = -l + 9, -k + 3 = -l - p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:30 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43253 divided by 9287.\nAnswer: 1169\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1026 - 1026. Solve 2*s - 7 + q = -3*j, s = 3*j + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13660, 5, -3, 2\/21?\nAnswer: 13660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15616481 to 5 dps.\nAnswer: -0.15616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*1*(6\/(-90)*-3)\/(87\/(-290))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 13*q**2 + 21*q + 23. Calculate c(-8).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3091?\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 11*m**6\/10 - m**4\/12 + 428*m**3\/3 + 561*m**2. Find the first derivative of z(g) wrt g.\nAnswer: 396*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/295 - -287\/29795. Let p = -528 + 1055\/2. What is the closest to c in p, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 22. Suppose s = y - 18. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*t = 0, 2*y + 14 = 3*y + 3*t. Suppose -10 = k - l, -1 + 2 = 2*k + y*l. Which is bigger: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*t + 10. Let b(x) = 9 - t*x**2 - 9. Let g(h) = h. Give b(g(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54618, -54625, -54632?\n\"Answer: -7*m - 54611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*2\/(-72))\/((-1)\/12*-6).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(7\/6))\/a))**(16\/7) assuming a is positive.\nAnswer: a**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -412 + 0?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 1, x: 4, l: 2}. What is prob of picking 3 x and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.123 and 58284.\nAnswer: 58284.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/3 + 117*q - 354 = 0. What is q?\nAnswer: -354, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 24. Let v(r) = 1. Determine -2*v(x) + w(x).\nAnswer: -2*x + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009 - 101.2278.\nAnswer: -101.2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2467 - 1686 + 2*j**2 - 765.\nAnswer: 2*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/((r*r**(3\/4)*r)\/r*r))\/r)\/r*r*r)\/r)\/(r\/(((r\/r**(8\/3))\/r)\/r)))\/(r**(-8)*r**14\/r*r) assuming r is positive.\nAnswer: r**(-161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/22 and -13\/118.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1)*(v**2 - 2*v**2 + 2*v**2)*(2*v**2 + 6*v**2 - 3*v**2).\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/46)\/((-3)\/(-18786)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*h + 4)*(2*h**2 + 0*h**2 - 4*h**2) + (h - 1 + 0*h + 0*h)*(-4*h**2 - 4*h**2 + 4*h**2).\nAnswer: -8*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1152 and 58\/7.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2100*p - 4193*p + 4*p**3 + 2094*p + 681*p**4 + 107*p**4 to the form l + b*p + o*p**2 + y*p**3 + d*p**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + 0.1. Let c(m) = m**2 + 8*m - 7. Let i be c(-9). Let y be 0 - (-1)\/(-5)*i. What is the third biggest value in y, 0.5, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*l = -2*h - 738, -2*l = 2*h - 742. Calculate the highest common divisor of h and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 63 = -76. Let g(x) = -2*x + 6. Calculate the lowest common multiple of 20 and g(m).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + y - 8 = 0, -5*v - 5*y - 1 = 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-260030)\/24*(-12)\/(-30). Let c = 4312 + h. Find the common denominator of 93\/22 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*c - 4*b, -3*b + 2 = c - 0*b. Solve 3*g = -3*l + 6, 4*l - 3 = g + c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 2*u - 2*u)*((0 + 4 - 6)*(-5 + 4 + 3) - 2 + 4 - 4 + (-2 + 3 - 3)*(7 + 1 + 2)).\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 75*x - 51*x + 48*x - 4*x**3.\nAnswer: -5*x**3 - 78*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/19 (b) -32 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 2 - 2 + (-4*o - 3*o + o)*(-5*o + 5*o - o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/7, 10 in increasing order.\nAnswer: -2\/7, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = 7. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26317930*o**2*r**2 + 30489*o**2 - 2*o*r**2 + 2*o + 2*r + 505 wrt r.\nAnswer: 52635860*o**2*r - 4*o*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 5*l**2 - 3. Suppose 0*y = 2*y + 8, 5*y + 16 = -4*b. Let t = -26 - -28. Let j(w) = 0*w**2 + 27 - 26 + w**t. Calculate b*v(x) + 4*j(x).\nAnswer: 2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*23.\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 69. Suppose m*v - 26*v + 9 = 0. Let 21*h**3 - 19*h**v + 4*h**5 + 10*h**4 - 3*h**4 - h**2 = 0. Calculate h.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2014 = -27*d - 1049 + 3841. List the prime factors of d.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/80*((-16)\/(-540))\/(-1)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 7:27 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + d**2 + 3*d - 9. Determine k(5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/25 (b) 7\/5 (c) -7 (d) 1\/454\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Let n = -14\/43 - 44\/129. What is the smallest value in n, 1, y, 2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 60a4?\nAnswer: -6099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 6*v - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-171)\/(-54))\/((-1)\/8). Let m = -265\/12 - i. Is m <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axx when three letters picked without replacement from xacxcl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216800 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvddsdvssvsvv. What is prob of sequence svdd?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1488936166 from 0.21.\nAnswer: -1488936165.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 0*m**2 - 7\/30*m**5 + 1\/15*m**6 + 5\/18*m**4 - 1\/9*m**3 - 37*m + 30. Let h(o) be the first derivative of j(o). Factor h(b).\nAnswer: 2*b*(b - 1)**2*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1571 * 0.85142\nAnswer: -1337.58082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.271 + 64.129. Round y to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 - 10*s**3 + 7*s**4 + 10*s**3 wrt s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1196 divide 23705916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, -1\/3, -0.04 in decreasing order.\nAnswer: 0.1, -0.04, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2891 is divided by 620?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 0*d)*(-d**2 + 48*d - 88*d + 72*d**4 + 33*d).\nAnswer: 144*d**5 - 2*d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, -1, 453.1?\nAnswer: 453.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 3)*(-29 + 5*q + 29) + q + q - q)*(-3 - 4*q**2 + 3) as l*q**2 + s*q**3 + h*q + t and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*f**3 + 11\/2 + 31\/4*f + 2*f**2 = 0. What is f?\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/36)\/(17\/(306\/40))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 180*i*x**3 + 8*i*x**2 - 235*i*x + 2*i - 21*x**3 - 10*x**2 - 157*x wrt i.\nAnswer: 180*x**3 + 8*x**2 - 235*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1)\/sqrt(10) - ((4*sqrt(11)*1)**2 - sqrt(11))) + -2.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + -6 + 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0 + 4*m**2 + 3*m**2 - 6. Let a(o) be the first derivative of 5*o**3 - 13*o + 2. Let l(s) = -6*a(s) + 13*v(s). Let u(p) = -2*p**2. Give l(u(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szss when four letters picked without replacement from {z: 11, d: 1, s: 3}.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 6*d - 2. Give n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 14 = -x. Solve 4*u - o = x, o + 4 = -2*u - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let z(s) = -8*s - 6. Let p(d) = 6*n(d) - z(d). Let f(w) = 48*w**2. Calculate f(p(k)).\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4607480999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/42*36\/64?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33119153, 132476615, 298072385, 529906463, 827978849, 1192289543, 1622838545?\n\"Answer: 33119154*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -7 + 8 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - 5*a - a**2)*(-2584*a - 126*a**2 + 2584*a) to the form c + z*a + k*a**2 + d*a**4 + q*a**3 and give d.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*s + 5*q, -3*q = -0*s - s + 2. Suppose -43*b + 291 = -225. Solve b = s*p + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 1\/2*w**4 + 5\/6*w**3 + 3\/2*w**2 - w - 1\/20*w**5 + 0. Is r(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9188*u - 9491*u - 34542 = 0 for u.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*w - 41 = -c, -3*c = 4*w - 33. Suppose 1623 + 303 = 107*q + 107*q. Solve 8 = -q*j + c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.8 - 10. Let v = -1.4 - n. Which is the second biggest value? (a) 4 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2629395257.31 and 0.03.\nAnswer: -2629395257.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(sqrt(150) - sqrt(150)*-2)\/sqrt(108) + 4)**2.\nAnswer: 40*sqrt(2) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*r**2 + 394*r + 126 - 42*r**2 - 39*r**2 - 394*r.\nAnswer: -r**2 + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*y + 5*y - 68, 4*k - 20 = -y. What is the highest common factor of y and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20772 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpgqpqggqgqgq. Give prob of sequence qggg.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820*u**4 + 3417944*u**3 + 13723728*u**2 + 13821344*u + 120448 = 0 for u.\nAnswer: -2, -4\/455, 1882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {l: 2, r: 1, p: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1254, 1205, 1154, 1101, 1046, 989, 930?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23095586*f**4 + 8*f**3 - 645119121*f**2?\nAnswer: -554294064*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10188 - 4939. List the prime factors of s.\nAnswer: 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1572, 3245, 4918?\nAnswer: 6591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -92.5. Let r be 1*-1*(-8)\/2. Which is the biggest value? (a) -4 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*s**3 - 6*s**3 - 5*s + 6*s - s.\nAnswer: -118*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/(-30))\/((-20)\/(-544)))\/((-8)\/12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -12. Let x be 1\/(-4) - (-1930)\/j. Suppose -4*d + 196 = -4*w, -6*d = -d - 3*w - x. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqpbbnn. Give prob of sequence pq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2616?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5810.68 + -5663. Round d to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19238411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l. Let x(v) = v**3 - 8*v**2 - 10*v + 5. Let m be x(9). Let d(c) = -8*c. Let j(z) = m*d(z) + 11*r(z). Let a(p) = p + 6*p - 5*p. Give j(a(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Let f = j + -3. Let w = -0.3 + -0.1. What is the second biggest value in w, f, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {i: 4, a: 3, v: 7, o: 2, e: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:15 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 30.01?\nAnswer: -270.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (291 - 247)*(-3)\/(-12)*2707.\nAnswer: 11, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105164751 take away 18?\nAnswer: -17.894835249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 320?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 94310482?\nAnswer: 848794338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 6 + 3 + 5 - 12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -19\/2*u**2 + 0*u**5 + 0*u**3 + 15 + 25\/3*u**6 + 0*u**4 + 0*u. Find the second derivative of b(z) wrt z.\nAnswer: 1000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2043724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1001100000111111000101001011?\nAnswer: -1001100000111111000101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46602 (base 9) in base 15?\nAnswer: 933b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 2013 = -687. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -0*j + 2*j, 3*r + 6 = -3*j. Let d be j\/(-2) - 752\/(-32). What is the greatest common factor of 40 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**2*q**3*t**3 + 939809*i**2*q**3 + 267436*i**2*q**2*t**2 - i*q**2 + 26*q*t**3 wrt q?\nAnswer: -12*i**2*t**3 + 5638854*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 5*z - 3. Let p be n(6). Suppose 2*l + 151 + 75 = p*d, -4*d + 2*l = -304. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 - 200. Let n(f) = 29*f**3 - f**2 - 3*f + 2. Does 32 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1257 in 5, -0.12, -23, 2\/7?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1811062485 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 126 = -4*i - i, 2*u = -i + 23. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 5*l - 2229 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 + 6*g**2 + 9*g**2)*(-1 - g + 1) + (-2 - g + 2)*(-4*g**2 - 2*g**2 + 4*g**2) - g**3 + 2*g - 2*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2. Let l(w) be the second derivative of 2*w**5\/5 - 77*w**2\/2 - 41*w. Let i(x) be the first derivative of l(x). What is q(i(s))?\nAnswer: -4032*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8390669 to the nearest integer?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13224, 52945, 119144, 211815, 330952, 476549, 648600?\n\"Answer: -v**3 + 13245*v**2 - 7*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 6)*(3*g - 3*g - g) + 3*g - 4*g + 2*g + (1 - 1 + 2)*(-g + 2*g - 5*g) - 16 + 16 - 3*g to the form v*g + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4 + -3)\/(3\/4). Is 3\/5 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddllfuvuldlf. Give prob of picking 2 f, 1 l, and 1 v.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16410, -1.11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1. Let k(u) = -2*u**3 + u + 1. Let b be k(-1). Let a(g) = 5*g + 2. Let y(q) = 4*q + 1. Let p(m) = 5*a(m) - 6*y(m). Determine b*p(o) + 7*w(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)\/p)\/p**8)\/(p**0)**(-8) assuming p is positive.\nAnswer: p**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 + 1 - (14 - 13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 + 39*a + 68. Calculate j(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-30) - (-62696)\/255. Differentiate -7 - 10 + 3 + 15 - w*j + 80*j with respect to j.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 379, 33, -4 in decreasing order.\nAnswer: 379, 33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 12094 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126343 is divided by 25231?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 401251.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2536544?\nAnswer: 2536537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-16)*4\/56*4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 122 = -5*c. What are the prime factors of c?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8175314551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58, -21, 18, 59, 102, 147, 194?\n\"Answer: h**2 + 34*h - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8\/(-12) - (-124)\/6 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 + 65*w - 194. Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/71 (b) 4 (c) 21456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*j**2 - 30 - 12 - 9 - 8 wrt j?\nAnswer: -56*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 5) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40758, 81562, 122380, 163218, 204082, 244978, 285912, 326890?\n\"Answer: g**3 + g**2 + 40794*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13189513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from daqql.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180085731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/120)\/(-1)*((-8043)\/(-420) - 19)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*g - 11, -5*g = 6*u - 3*u - 35. Solve -4*k + 0 = -4, 2*k - 12 = -u*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185125 - 42258. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5053064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -36*p - 3. Suppose 0 = -n - 2. Let c be w(n). Is c*(-1 + -2 + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 22 + 7*h**2 - h**3 + 3*h - 5*h**2 + 9*h**2. Let c be s(8). Solve 0 = -3*g - 2*l + 17, -5*l = c*g - 7 - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/232231 and -53\/345.\nAnswer: 3483465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 138104*n - 184. Let i be x(21). What is i rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 34. Let q be v(11). Suppose -q = x + 23. Let o = -28 - x. What is the remainder when 93 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 705449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.5. Let h = 0.14 + 0.26. What is the second smallest value in q, 3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(95)*-4*-6)\/(5*sqrt(20) - (sqrt(40)\/sqrt(392) + sqrt(5))).\nAnswer: 252*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 297225 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.06 + -0.06. Suppose -i - 1142 + 1107 = 0. What is the closest to 1\/4 in 4, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3996 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2056*z - 6282. Is j(-119) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:49 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c - 4 = 0. Let a = c - -3. Are a and 1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 7. Let i = -0.254 + -0.046. Put i, h, -1 in decreasing order.\nAnswer: i, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 + 33*b**3 + 26758*b**2 - 53640*b = 0. What is b?\nAnswer: -149, 0, 2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336960 and 88296000?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70875 and 5592375.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -305, -323, -343, -365, -389?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 divided by 2?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 0, 0.4, 1, 2\/9, -3360?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.57 + 0.33. Let b = 1.04 + v. Let y = -0.80000048 + b. What is y rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005053 rounded to four dps?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26279 + -26275. Sort 59.3, g, -5\/2, -2\/3, -4 in decreasing order.\nAnswer: 59.3, g, -2\/3, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485 greater than -610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 + 1599*d**3 - 49686*d**2 + 93000*d = 0. What is d?\nAnswer: 0, 2, 31, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208280122?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from nnoxxtmmnnmgxtnnog?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - 14 - (-333 - -53 - -257)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 4*j**2 - 6*j - 3. Let c be r(-5). Suppose -5*u + 80 = a, -c*a + 5 = -a. Solve -3*n = 3*x, 3*x + u = -2*n - 2*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 8060 = 35*i. What are the prime factors of i?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 242*b - 3254*b + 638*b - 1918*b - 3877*b as x + z*b and give z.\nAnswer: -8169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 4. Give m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*c = 2, 3*c - 4 = -3*p + p. Which is smaller: 23 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100) - (sqrt(1100) + -1)) + 2)*-2 - (4 + (-2*sqrt(1100) - sqrt(1100)) - sqrt(1100))**2*-1)*-1.\nAnswer: -17610 + 320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/129 and 4\/1*((-352)\/2838 + 0)?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {a: 8, k: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/224598?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51971.1197 + 51974. What is c rounded to two dps?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -36. Let s = -12 - l. What is the third derivative of y**2 - 5*y**6 + y**6 + 2*y**s wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110110110010000100 (base 2) to base 5\nAnswer: 24140023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 10. Let j be o(31). Let q be 6\/27 - j\/(-9). Solve 0 = -3*z + q + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3227844864 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 29 + -36)*(-2)\/(-68)*-1\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/6)\/(j*j*(j*j*j**9)\/j*j) assuming j is positive.\nAnswer: j**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(-5 + 3)*3\/(-2) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 8*u**2 + 7*u + 12. Suppose 0 = -3*t + 3, 0 = -2*v - 3*v - t + 46. Let l be p(v). Let d(z) = 0*z - 7 - 2*z + 6*z - 6*z. Determine d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1283023818?\nAnswer: -1283023818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 332*l**2 + 259*l + 4. Let f(a) = 328*a**2 + 258*a + 5. Let z(x) = -8*f(x) + 10*k(x). What is the second derivative of z(i) wrt i?\nAnswer: 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2297 + -4.2297. Suppose -5*s + 21 = 2*z, 0 = s - 0*s - 5. What is the biggest value in z, l, -9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*v - 14, -3800*v + 3797*v + 3*k = 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 17 = -3*b + 3*b - n, -4*n - 235 = -215 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcccvvcvccvcc. What is prob of picking 2 v and 1 c?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3 = k, 0 = k + 2*a - 2 - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47020 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -5*i**4\/12 + 2825*i**3\/3 - 1596125*i**2\/2 + 453*i. Solve d(q) = 0.\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 27*f + 5. Let v be m(-1). Let n = -19 - v. Solve -4 = -n*q + 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.914 + 104.186. Let i = -105 + x. Let u = 434 - 3910\/9. Which is the second biggest value? (a) u (b) -8 (c) i (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915234379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4 + 17*u + 0 + 0*u**2 + 2*u**2 - u**2. Does 21 divide v(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55\/4 of a micrometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = 3*b, 6 = -5*b + 16. Is 1\/32873 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:48 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.42 - 31.42. Let j = 2 - 2.14. Which is the second biggest value? (a) j (b) 1 (c) 0.5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n + 3. Let s be ((-8)\/16)\/((-2)\/88). Let v(l) = l**2 - 14*l - 8*l - 5*l**2 - 4*l**2 - s. Give -44*d(a) - 6*v(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*x + 263*x = -171*x + 4251 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-228) + 109\/(-12) - ((-189)\/(-35) + -5)\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.84 * 854431\nAnswer: -717722.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 446\/23415 - 517\/(-9240)\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -12, 0 = -5*u - 2*g + 44896 - 11864. Is (-6)\/(-10) - u\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-21) - 2\/(-6). Suppose 4*x - 89 - 63 = w. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93998369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -605.02 - 0.002345.\nAnswer: -605.022345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 13 = -2*y, 0 = 3*y - 4*r + 23 - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2219 + 114.5381. What is m rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(14*(-7)\/(-49))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + 5 - (-3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392, 1580, 3560, 6332, 9896, 14252, 19400?\nAnswer: 25340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 23 = t, 3*t - 4*m - 60 = -t. Find the common denominator of (-6 + 1)\/((-8)\/(-26)) and t*((-8)\/6 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -146*r**3 - 3*r**2 + 90*r - 11. Let s(q) = q**2 - 10*q + 1. Calculate -9*s(v) - w(v).\nAnswer: 146*v**3 - 6*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351826, 703688, 1055550?\nAnswer: 1407412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by 1.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-0.169848\nAnswer: -0.00679392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.16? (a) -1\/8 (b) -1\/6 (c) -6\/5 (d) -1 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = -4*p - 3, 2*p + j - 4 = 0. Let s be 6 + -3 + p - 1. Solve 2*l = l - s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-956)\/2)\/((-4)\/(-10)). Let b = -2085 - d. What is b rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 38584?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20306421\/43 + -472266. Which is bigger: f or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 3, f: 1, i: 4, a: 7}. What is prob of picking 1 i and 2 p?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 696 - 692. Suppose 0 = -8*i + 4*i + c + 632, h*i - 616 = -3*c. What is the remainder when i is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*q**2 + 4239*q + 38556.\nAnswer: -(q - 63)*(77*q + 612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 465050 and 10?\nAnswer: 465050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -25, -5*d - 45 = b - 2*b. Let l = -28 - -39. What is the remainder when b is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + 3*h - 2. Let q(o) = -5*o**3 - 3*o**2 + 13*o + 176. Give 4*n(y) - q(y).\nAnswer: y**3 - y**2 - y - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/18 in -4, 0.4, 4602, 0.1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + m - m)*(-15*m + 7*m + 3*m**2 - 5*m**2).\nAnswer: -4*m**5 - 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.57 - 0.43. What is the closest to -0.1 in 5, j, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 525 = -52*i - 5*i + 643 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030 - -2297.5.\nAnswer: 1267.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 6, 36, 0, -44 in descending order.\nAnswer: 36, 6, 4, 0, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -549, -1238, -2203, -3444, -4961, -6754?\nAnswer: -8823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:42 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.157251299 to three dps.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 3*q - 1. Let b(t) = -t. Suppose 2*d + 4*f + 266 = 0, -4*d - 264 = -2*d + 2*f. Let x = d - -128. Determine x*b(n) - m(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuppuuovvvovuzv. What is prob of sequence uu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 14*p**2 - 8 - 8*p**2 - 11*p**2 + 3*p**2.\nAnswer: -30*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 k when four letters picked without replacement from uuukuuukkuukuuku.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from tsmggt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 + -2.9. Which is the third biggest value? (a) 0.1 (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*y - 7489 = -2*y, 0 = 4*y + 16. What is the highest common divisor of 102 and s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/32 (b) -4\/3 (c) -1.9 (d) -0.4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*(sqrt(392) - (sqrt(392)*-1 + sqrt(392))) - sqrt(392))\/sqrt(7))\/(sqrt(88)\/(2*sqrt(539)))*2.\nAnswer: -56*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-14 + -12) - 2) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0 + 0 + 2*n. Let p(c) be the third derivative of -13*c**8\/20160 + 13*c**5\/30 + 51*c**2. Let q(t) be the third derivative of p(t). Calculate y(q(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**3\/o))**1*((o\/o**(-2\/47)*o)\/o)\/(o*o**13) assuming o is positive.\nAnswer: o**(-656\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + t + 5. Suppose -72 = -4*k - 0*u + 4*u, 4*k - 67 = 3*u. Calculate the remainder when i(4) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 21714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 2:38 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*i - 47 + 335, 0 = 3*l + 5*i - 212. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-5))\/((-3)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 0 + 14 + 0*b. Let d = -7 + -1. What is the units digit of o(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 8 = 2*f, 5957*f + 22 = 5*q + 5956*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 5*m + 0*m)*(7 + 4 + 2) + (3*m + 0*m - m)*(-3 + 2 - 3) - 4*m + 9*m - m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 50, 2, -50, -2\/251, -12?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -23, -39, -61, -89?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u + 5*u)*(194 - 55 - 74)*(3 - 2 + 0).\nAnswer: 130*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -25.11. Let i = 0.09 - r. Put -2, i, -3 in descending order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 28 = 4*j. Suppose 8*u - 10*u = j*k - 4, 4*k = u - 2. What is the smallest common multiple of 11 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, 6, -19\/12, 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 81 + 4 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - m**2 + 2*m**2. Let o(y) be the first derivative of 6 + 0*y - 2\/3*y**3 + 0*y**2. Give h(o(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4526409 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-5)\/((-35)\/(-7)). Is 3\/(((-1)\/(-1686))\/(c\/54)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, 0.5, 5, -6533, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6 = -4*u, 5*u = u + 4*p + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -1)*(0 + -4). Let n = 24 + s. Put 1, 4, n in decreasing order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) - (-91)\/14. Suppose 0 = -v - x*k + 50, -4*v = k - 162. What is the remainder when v is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -3. Let r = i - -54. Let p(h) = 127*h - 17. Is p(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 13 + 23. Let v(y) be the first derivative of y**3\/3 + 4*y**2 - y - 2. Let w(x) be the first derivative of v(x). Calculate w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 71*x + 116. Determine y(37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -798131 or -798128?\nAnswer: -798131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299143.41 months to millennia.\nAnswer: 24.9286175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 33. Calculate the greatest common divisor of g and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 353*y**4 - 3244*y**3 + 5068*y**2.\nAnswer: y**2*(y - 7)*(y - 2)*(y + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*w = -169*w + 3. Let u be 2817\/945 + (0 + -9)\/w. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 13\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 1779596.\nAnswer: -302531.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = s, 4*s + 9 = 22*k - 23*k. Suppose -6*b = -2*b + 2*z + 62, 6 = 2*z. Sort 0, -2, b, k in decreasing order.\nAnswer: 0, k, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -122, -121, -120?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -64, -92, -112, -118, -104, -64?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1498 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 123?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2305)\/6 - (-11)\/66. What is the tens digit of 6\/(-10) - b\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 29*q + 64 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 696 = -3*b - 3*o, -b - 2*o = -225. Let c = 231 - b. Solve c = -4*y - 1 - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqnooogoqoh. Give prob of sequence oq.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940850 divided by 22?\nAnswer: 133675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 82, 1, -2\/7, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 3*r - 6. Let h be g(-5). Let j(k) be the first derivative of 4 + k - 3\/2*k**2 + k**3 - 1\/4*k**h. What is o in j(o) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-6)*((-310)\/(-65) + -5). Let -2\/13*s**3 + b*s**2 - 16\/13*s + 8\/13 = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 4*g. Let z(k) = -6*k**2 - 3*k. Let w(s) = 3*q(s) + 4*z(s). Let r(o) be the first derivative of 3*o**2\/2 + 54. Calculate w(r(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - -10322?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(7\/11)\/(i**(8\/5)*i*(i\/(i\/(i**(-6\/5)\/i)))\/i))**(-44) assuming i is positive.\nAnswer: i**(148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 20 = 4*a - 3*y, -a + y + 5 = 0. Solve -3*k - 15 = a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.63 rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**0*y)\/y)**6\/(y**0*y**(-6)))\/((y**(-1\/3))**32*(y\/(y*y\/y**0))**(2\/51)) assuming y is positive.\nAnswer: y**(386\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 395 + -398. Sort 3, z, 2, 0 in increasing order.\nAnswer: z, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.094663343 to three decimal places.\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*1*5\/39. Let p = -41\/39 - m. What is the smallest value in 5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 849713613 divided by 40462553.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 24*u - 79. Suppose -3*x = -3*i + u, 20*x - 23*x - 9 = 0. Put 1, -2, -4, i in increasing order.\nAnswer: -4, -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3344.935mg?\nAnswer: 0.000003344935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*r + 7*r**2 - 297*r + 113*r.\nAnswer: 7*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let l(o) be the second derivative of 0*o**2 + 0*o**2 - 1481 + 1482 - 45*o + 8*o**3. What is c(l(k))?\nAnswer: -2304*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 170, 2\/11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 29.\nAnswer: 19\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*n - 1121 = 0, -603 - 76 = 3*g - 4*n. Let q = -169 - g. Solve -q*p + 4 = -52*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - (-296)\/10. Let c(s) = s**2 + 10*s + 7. Let l be c(-9). Let h = l + 5. Solve -2*u + 0*r + 5*r = p, -u = h*r - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 1158055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000622759 rounded to 6 decimal places?\nAnswer: -0.000623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56902 + -26145. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + b = -2*b + 6, -9 = 3*s - 5*b. Let v be 1\/(2*s\/66). Let k = 23 - v. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -v + 7, 40*v - 41*v + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -62. Which is the second smallest value? (a) 4\/3 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y - 1. Let b(h) = -h**2. Let t(f) = 13*f**2 + 5*f. Let o(j) = -15*b(j) - 3*t(j). Let l(s) = -o(s) - 9*v(s). Factor l(r).\nAnswer: 3*(r + 1)*(5*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)**(-4\/11)\/(i**6*i\/i**(-3\/2)*i))\/(i**(-3\/7)\/i**(-3))**(-15) assuming i is positive.\nAnswer: i**(4421\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3791 < -22745\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*r*s**2 + 60*l*r*s*u + 3*l*u**3 - 19*r*s**2*u**2 - r*s*u**3 + r*s with respect to l.\nAnswer: -2*r*s**2 + 60*r*s*u + 3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 - -259. Suppose 2185*v - 2201*v = -1296. What is the highest common factor of g and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -468*c + 732. What is the tens digit of i(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -13. Let g = -27.935 - -29.135. What is the third smallest value in g, 0.1, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 98.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/208 and 3\/34760?\nAnswer: 903760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 8*r + 8. Give d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223 - -216. Let x be (8\/(-28))\/(9*1\/j). What is the nearest to -2 in 1\/2, x, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16191509, 32383027, 48574545, 64766063, 80957581?\n\"Answer: 16191518*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-372)\/(-2))\/(18\/24). Suppose 16*o - i = 104. Calculate the highest common divisor of o and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -5, 11\/4, -0.03559, -1\/5, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644887 is divided by 15353?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, j: 3}. Give prob of sequence xjj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:35 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - -0.0503?\nAnswer: 0.0403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 5. Suppose -41*u = -401 - 132. Let w(c) = -2*c + 11. Give u*q(k) - 6*w(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/187 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.95559 to one decimal place.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213472 is divided by 3374.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:58 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-8))\/(p**(-5)\/p))\/(p**(-6)\/p**6) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82397186?\nAnswer: 2, 19, 2168347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbtnp. Give prob of picking 1 p, 1 b, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/19942 and -79\/3042?\nAnswer: 179478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*d + 18. Suppose d*x = -8 + 68. Solve -2*y + x = -f + 3*f, -f - 11 = -3*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 26*d + 4 - 49*d - 34*d + 55*d.\nAnswer: -2*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -269572 * -0.4.\nAnswer: 107828.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**3 + 27540*k**2 + 27531*k - 55074 = 0.\nAnswer: -9179, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 - 63*q + 15885. Give k(63).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 2*f - 4*o, -12*o - 446 = -4*f - 14*o. Let y be 2\/4 - 19\/(-2). Calculate the highest common factor of y and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.117, -2, -0.1, -5, 1 in ascending order.\nAnswer: -5, -2, -0.1, 0.117, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -296.6 and 1.7496?\nAnswer: 298.3496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 769632 and 120255?\nAnswer: 3848160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200010 - -22200?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let h(a) = -14*a. Let u(l) = l. Let f(j) = h(j) + 5*u(j). Give n(f(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1716 and -109\/16236?\nAnswer: 211068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**2 - 2*h + 2. Let j(k) = 12*k**2 - 6*k + 6. Let i(d) = 11*d**2 - 5*d + 5. Let f(p) = 5*i(p) - 4*j(p). Give -13*f(s) + 6*o(s).\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -15. Let t be 1 + -3 - (-15)\/(-2 - -5). Solve t*h + 5*k = 2, 2*h - 3*k = q*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19747 and 23.\nAnswer: 454181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12943368 divided by -36\nAnswer: 359538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtt when three letters picked without replacement from ttxtttttttttt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebr when three letters picked without replacement from cerbbe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4135135\/78 + 53013. Find the common denominator of 49\/6 and k.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 13. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, 76, -0.21, -0.3, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5882, 9691, 35646, 71983, 118702, 175803, 243286?\n\"Answer: 5191*b**2 - 11073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -14, 1.3, 0.2, -2\/325?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446*q*u**2 - 282*q*u - 2*q + u**2 + 13*u wrt u?\nAnswer: -892*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.16163cm to millimeters.\nAnswer: 391.6163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 478 + -352. Calculate the remainder when r is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 4*z**2 + 672*z - 4013. What is i(6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16161 + -467?\nAnswer: 15472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/60 + s**4\/24 - s**2. Let k(t) = -2*t**3 - t**2 - t. What is 3*c(x) + 2*k(x)?\nAnswer: 2*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/51*59\/(-177)*1?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6310 + 5?\nAnswer: 6315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 35*k - 1853. Let g be r(64). Which is the closest to 481? (a) 2 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwawwwwwwkwwewkwkee. Give prob of sequence ak.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 2 - (-10 + 7). Suppose k = -2*q - 89 + 59. Is -10 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 229 = 4*d + 230 - 464, -2*d = z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3523819 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = t - 9, 5*c = -4*t - 7 - 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t - 12*t + 1 - 5714*t**2 - 737*t**2 + 26*t.\nAnswer: -6451*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:47 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6596906 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3677 - -5?\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.8, -2\/3 in ascending order.\nAnswer: -2\/3, 0.06, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 273, 285, 299, 315, 333?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1994190, -1994193, -1994194, -1994193?\nAnswer: -1994190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**(11\/9)*(a**(-2))**44)**(-32) assuming a is positive.\nAnswer: a**(25432\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -336724*n**2 + 368537*n + 2 wrt n.\nAnswer: -673448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2944\/4465 - -2\/95. Find the common denominator of m and -46\/3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 11. Does 9 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2409 - -2510. List the prime factors of s.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1208*g - 1200*g + 2406*g - 113)*(2*g**2 - 3*g**2 - 3*g**2).\nAnswer: 8*g**3 + 452*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 592565 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3026, 2733, 2452, 2189, 1950, 1741, 1568?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3209341.\nAnswer: 3209341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3, -15, 30, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23856 + 44950. List the prime factors of w.\nAnswer: 2, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -824?\nAnswer: 131.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 20100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 5*n**3\/3 + n**2\/2 + n + 6. Let b(y) = 5*y**2 + 2*y + 2. Let l be b(-1). Suppose -2 - 3 = l*s. Give k(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/5)\/((-2)\/3)*(-120)\/(-72)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1256*62\nAnswer: 77872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 5:17 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - r + 1. Let q be i(-1). Which is smaller: q or 17\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546687480 a multiple of 821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 37 = 89. Suppose -c + 3*c + 5*g - 37 = 0, 0 = 2*c - 3*g - d. Solve 4*b + c = 2*q + q, -2*b = -q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 4, 2, 0, -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*f = b + 1136, -4*b - f + 1120 = 0. Suppose -253 = -4*v + b. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 9. Let f be z(0). Let v = f + 36. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075155 to the power of 1\/2, to the nearest integer?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97758, -194075, -290392, -386709?\n\"Answer: -96317*k - 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157465367.\nAnswer: 151, 421, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58813545 by 365.\nAnswer: -161133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o**(4\/5)*((o*o\/(o*(o\/(o*o*o**(3\/4)))\/o))\/o)\/o**(-2))**16 assuming o is positive.\nAnswer: o**(5044\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {a: 6, h: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 13*x - 12*x. Suppose -2*y - 5*z + 642 = 0, y - x*z = -0*z + 351. Is y a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3855715ml to litres.\nAnswer: 0.0003855715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*y - 35 = 0, 6 = -4*y + 22. Solve s*q - 35 + 25 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - (4 - 70)) + -8 + 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307767455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/4 - 14*g**3\/3 + 8*g**2 + 36*g + 5671. Calculate w(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -3*l + 79*n - 75*n, -661 = l - 17*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -804, 0, 4, 14, 5 in descending order.\nAnswer: 14, 5, 4, 0, -5, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**4\/4 - s**3\/3 - 3*s**2\/2 - 4*s + 3022. Determine c(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036472927 to 6 decimal places.\nAnswer: -0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*3\/(-9))\/(1001\/(-2002)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k. Suppose -3*p + 6*p = 57. Let j be -6*3*164\/(-369). Let y(a) = 11 + j - p + 5*a. Give n(y(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 + 8313*o + 35122686 = 0. Calculate o.\nAnswer: -2306, 5077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**3 + 8*d**4 - 9*d**5 - d**4 + 8*d**3 = 0. What is d?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70695083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkllknckkclkz. Give prob of picking 2 k, 1 n, and 1 d.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80422, 160782, 241138, 321490, 401838, 482182?\nAnswer: 562522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76.3 - 76. Which is the second biggest value? (a) -2\/7 (b) 0 (c) k (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 4, k: 1}. What is prob of sequence zbb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104.83 + -0.17. Let q = -104.93 - k. Which is the nearest to q? (a) -0.2 (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(28)\/(sqrt(4) + sqrt(48)\/(sqrt(48) - sqrt(12))) - (sqrt(84)\/(sqrt(12)*2) + -3))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 73, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 249 and 1?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.79 + 0.05. Let w = u - 0.26. Let o = w + -1. Sort -2\/11, 3, o, -0.1 in ascending order.\nAnswer: o, -2\/11, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrv when three letters picked without replacement from rvjvji?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o**3 - 28 - 9*o**2 + 47 + 7*o**2 + 4*o - 27 to the form s*o + x*o**3 + v*o**2 + p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000927 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2650 by -5.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3182 rounded to two decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/28)\/((36\/(-24))\/((-36)\/(-285))).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + -1.95. Let n = 2.3 + y. Let k = 10 - 9.5. Which is the third smallest value? (a) n (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 3*j + 3*j + 6*q + 6, -28*j = -27*j - 4*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5097 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4, -61 in increasing order.\nAnswer: -61, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 29 + -36 - (2 - 0 - 19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z + 304 = 0. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 m, and 1 j when four letters picked without replacement from jjmljmnjljj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339937*h*q**5 - 5*h*q**2 + h*q - q**5 - 2*q**2 - q + 4591 wrt q?\nAnswer: -20396220*h*q**2 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/(1\/2). Let o = 2 - w. Let t be 8\/(-12) - (-14)\/o. Solve -5*f = -25, 0 = -4*p - 5*f + 17 + t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040016\/(-912780) + 3 + 36\/(-20)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 104, 77\/2?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -2. Calculate the remainder when p*(2 + 13\/(-3)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -118*j - 350. Determine n(-4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 1, l: 3}. What is prob of sequence llbr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 4*l = -76 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(396)*4 + (-2 + sqrt(704))**2)*-4.\nAnswer: -2832 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 155, 40, -1387, 1 in decreasing order.\nAnswer: 155, 40, 4, 1, -1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 819, 1602, 2385?\n\"Answer: 783*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 5794706*x\/5 - 5794704\/5.\nAnswer: -2*(x + 1)*(x + 2897352)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5059533.\nAnswer: 3, 1686511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzd when three letters picked without replacement from dsshssssdszzsddss?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5303*w + 39 = -5298*w + 4*q, 3*q = 4*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602739494.\nAnswer: 2, 7, 878629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812 = -2*j + 5*b, 0 = -5*j + 4*b - 1886 - 127. Suppose -4*u = 2*l + 1784, -4*l - l = u + 4442. Let y = j - l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*l**4 - 26120*l**3 + 437*l**2 + 121*l.\nAnswer: -432*l - 156720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 8*k + 12. Let v be u(-7). Suppose 0 = v*p - 29 + 4. Suppose 0*z - 3 = -z, -2*i + 145 = p*z. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -1, -23, 2, 10, -10 in decreasing order.\nAnswer: 10, 7, 2, 0, -1, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4 - 10*z**3 + 12*z**2 + 40*z - 64 = 0.\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times 8?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 469, 938, 1407, 1876?\n\"Answer: 469*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) 0.25 (b) 4 (c) -15 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 0.08. Let w be 3\/(-3)*1\/1. What is the biggest value in 3, w, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 1, -157.77, -0.2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 254. Calculate d(-52).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-6) - (807\/(-9) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1337 = 4*a, -h - 1663 = -5*a - 0*h. Calculate the common denominator of 12\/9*(-3)\/7 and (-1)\/6 - a\/(-120).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 797*b - 799*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21250691013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 2440. Suppose -28*l + m = -24*l. List the prime factors of l.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(22)\/sqrt(2)*5)**2*4 + (-1 + sqrt(704) - -6*sqrt(44)).\nAnswer: 20*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmxmmmx. What is prob of sequence xx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2289 = -0*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(1\/5)*n*n**(-3\/4))**41\/(((n*n**(-1\/11)*n)\/n)\/(n**(3\/5)*n))**(2\/17) assuming n is positive.\nAnswer: n**(314651\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 72 = -3*p. Suppose 2*c - p = -2. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156863 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 149 + 9*q**2 - 52 - 51.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 163104.\nAnswer: -7\/81552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372)\/(-496)*2*16\/21.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 26.32. Let t = p - 0.48. Put t, 1, 1\/6 in descending order.\nAnswer: 1, t, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -19\/2, 0.1, -3?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9517 is divided by 4095.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005499 rounded to 4 dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102753 and 1827945.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 438 + -200. Does 29 divide (1 - -1)\/(3\/(-6)) + y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1947 greater than or equal to -1948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 times -24414?\nAnswer: 11181612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Let v be (-25)\/2 + (-2)\/n. Let x = v + 15. Solve x*h = h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479455221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/13)*v**(2\/15))**(-10\/9))**(8\/13) assuming v is positive.\nAnswer: v**(-656\/4563)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 7:59 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 1, i: 2, m: 4, c: 2}. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 2 = -10*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1655 - -1658. Sort b, 23, 15 in descending order.\nAnswer: 23, 15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 6*z - 15 + z + 2*z. Let f be n(4). What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/2)*x)**(27\/2))**(-9\/5) assuming x is positive.\nAnswer: x**(-243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j + 29. Does 20 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*r**2 + 356*r**2 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (10 + (2 - 9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6293 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 - 6*c + 6*c + 231 + 8*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 64074*u. Let c(s) = 37*s**2. Calculate g(c(w)).\nAnswer: 2370738*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45514405 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 9. Suppose -2*l + 5*q - 7 = n, 4*q = 3*l + 10. Solve 4\/9*z**l + 0*z + 0 - 2*z**3 + 8\/3*z**4 - 10\/9*z**5 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**3 + 0*z**5 + 0*z**4 - 2\/105*z**7 + 0*z**6 + 0*z - 3*z**2 + 0. What is the derivative of l(h) wrt h?\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144335730.8 rounded to the nearest 100000?\nAnswer: -144300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*x + 154, 32 = -4*i + 2*x + 200. Let h = 78 - i. Suppose -101 = -2*u - h. Calculate the highest common divisor of u and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1216 + -0.1784. Let a = -3.07 + 0.07. Let l = a - -11. Sort l, v, -3 in ascending order.\nAnswer: -3, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/24*5\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 1, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415576329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let p(w) = -11 + 18 - 4 - 3 - 4991*w. Give m(p(s)).\nAnswer: 4991*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572735257.\nAnswer: 3041, 517177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 3*a**2 + 3*a + 2*a**2 - 3*a**2 - 2. Let u be m(3). Let o(q) = -9*q - 3. Is o(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 17*q - 150. Let r be s(13). Let l be r\/4*(-288)\/18. What is l rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -421, 6, 3, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -4\/5 (c) 6402 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277528 is divided by 92502.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 360747 - 19130. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93062459.\nAnswer: 7, 13294637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - g + 40 + 37 - 77.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1140.8443 + -0.1557. Let m = z - -1188.7. What is m rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 3\/1 + 35\/21. Let d be ((-2)\/(-2))\/(1\/(-5)). What is the third biggest value in l, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l - 19 = -3*v, 2*v + 3*l = 22. Suppose 0*f + 60 = -v*f. Is 3 a factor of (f\/9)\/(4\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-159 - -169 - ((4 - 5) + 6)) + 30\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 - (-5 - 4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15289861 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (6 - 3))*4. Let t be 6\/n + (-30)\/24 + 2. Solve t*z + 3 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1457073000 to the nearest 1000000.\nAnswer: -1457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3a42 (base 13) in base 16?\nAnswer: -a2696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/883, 7, 0.06, -576?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105104 (base 6) in base 13?\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a factor of 9843568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4\/2 + 7209*a**3\/2 - 60909*a**2 + 157518*a - 100212 = 0?\nAnswer: 1, 2, 14, 2386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:57 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - -30505178.91499\nAnswer: 30505178.85499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, i: 13, z: 3}. Give prob of sequence zzn.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 11 + 1. Let r be 5\/((-175)\/m) - (-28)\/70. Which is the fourth smallest value? (a) 0.08 (b) r (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, k: 2, w: 3, m: 3, z: 1}. Give prob of picking 1 m and 1 d.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 854193120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 31162?\nAnswer: 3116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 14. What is the second smallest value in -4, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 100 = 5*m. Let p be (m\/6)\/((-4)\/(-6)). Solve -2*n + 2*f = 4*f, f - 18 = p*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 1. What is the tens digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -14, -5, -4, 0, 7481 in decreasing order.\nAnswer: 7481, 4, 1, 0, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-376*f - 317*f - 724*f - 725*f)*(0*f**2 + 3*f**2 - 2*f**2).\nAnswer: -2142*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2*r + 0*r**3 + 2 + 1\/30*r**4 + 0*r**2. Let g(y) be the first derivative of q(y). Solve g(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t**2 - 13*t + 21. Let f(p) = 16*p**2 + 24*p - 40. Give 6*f(r) + 11*z(r).\nAnswer: -3*r**2 + r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 3*a + 9, 62*l = 61*l + 3*a - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/873*(-5)\/5*4\/100*-5.\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(76) + (sqrt(76) - 6*(sqrt(76) + -2 + sqrt(76))) + 0)*2)**2.\nAnswer: -69120*sqrt(19) + 1115136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157310*j*n - 194047*n with respect to j.\nAnswer: 157310*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(32\/7)*x*x*x*x\/((x\/x**4)\/x)*x*x\/x**(-4)*((x*x*x**3\/x)\/((x**5*x)\/x))\/((x*x\/((x*x**6)\/x))\/(x**(-2\/7)*x*x*x*x)) assuming x is positive.\nAnswer: x**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -82843\nAnswer: -1\/82843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 5*s - 1425, -5*a = 5*s - 2415. Does 120 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130843584 - x**2 - 130843584.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 - 577005*r**2\/2 + 222612183*r\/4.\nAnswer: 3*r*(r - 384477)*(r - 193)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/26*(-299)\/46. Which is the closest to 2? (a) u (b) 0.33 (c) -0.1 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 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: What is the millions digit of 150049970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 16. Suppose -3*x + q*t = -2*t - 6, -5*x + 4*t = -12. Suppose -4*i + x*i = -4. What is the greatest common divisor of i and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 16*x + 31. Let r be m(-13). Is r < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 = -n, r + n + n - 7 = 0. Let d be (2 - r)*(-4 - -3). Let l be (-11)\/(-3) - (d - -1). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccqcq. Give prob of sequence ccc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 1, m: 4, c: 12}. What is prob of sequence mcam?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 9*h - 4. Let q(g) = -6*g**2 - 46*g + 19. Let t(k) = 2*q(k) + 11*u(k). Give t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 8, 19, 56, 131, 256, 443?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 144152939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:30 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10891.2012 + 10887. Let m = v + 3.44819. Let i = m + 0.746. What is i rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 6 + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u - 4 - 6 - u**2 - u**3 - u. Let z(x) = -2*x**2 - x - 1. Calculate -3*k(o) + 4*z(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h)\/(h\/((h*h**15\/h)\/h)))**(24\/5)\/(h*h*h*h**(-1\/19)\/h*h*h*h\/h**(2\/7)*(h**(-2))**19) assuming h is positive.\nAnswer: h**(66858\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 16*w**2 - 15*w + 2. Let m be h(15). Let i(a) = -a**2 + 4. Let x be i(-3). Sort m, 1, x in descending order.\nAnswer: m, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u**5 + 1\/35*u**7 + 0*u**6 + 0*u**3 + 5\/12*u**4 + 0 + 16*u**2 + 0*u. Find the second derivative of h(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*o*s**2*t + 97*o*s*t*x - 29*o*t*x**2 + 2*o*t*x - 1365*s**2*t*x**2 + 3*s**2 wrt x?\nAnswer: -58*o*t - 2730*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + (2 + sqrt(1008) + sqrt(1008) + sqrt(1008) - sqrt(1008)) + sqrt(1008))**2 + sqrt(1008) + 3 + (4 + (3*sqrt(1008))**2)*3)*3.\nAnswer: -1188*sqrt(7) + 326763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 42 = -5*s, 3*s - 13 - 9 = 2*o. Suppose -4*x + s = 2*l, 2*l - x = -0*x. What is the biggest value in -4, -0.4, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 97368*s - 2*s**3 - 435*s**4 - 97371*s - 193*s**4 + 2*s**2 as a*s**3 + c*s**2 + n*s + b + k*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -1\/8*u**4 + 46*u**2 + 0*u**3 + 7\/40*u**6 - 13\/70*u**7 + 3\/56*u**8 + 0*u + 0 + 1\/20*u**5. Let k(s) = 0. Calculate s.\nAnswer: -1\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 2\/7, -8, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(17) + (sqrt(17)*-1 - sqrt(17))*2 + -1 + (-5 + sqrt(68) + sqrt(17))**2 + 4.\nAnswer: -33*sqrt(17) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3\/4 + 94101*c**2\/4 - 737963565*c\/4 + 737869467\/4 = 0?\nAnswer: 1, 15683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.290761 meters?\nAnswer: 7290.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/8, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*d - 3933 = -2497 + 2743 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 5 + (1 - -2). Suppose 5*p - 2*d = 10, -4*p + k*d + 0 - 9 = 0. Suppose p*t = 5*j + 37, -2*t + 2 = j - 13. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 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: Suppose 4*s = 6*c - 7*c - 105, -4*s + c - 111 = 0. Let v = s - -29. Suppose o = -v*b + 69498, 5*o + b = 15170 + 332329. Round o to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/493644 and 48\/1327?\nAnswer: 493644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5083953929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 + -426?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-60)\/(-16) + -2. What is the third smallest value in -1\/3, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 4*s + 36. Suppose -2*w = w - s. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 1, -611\/55, -5, -1.\nAnswer: -611\/55, -5, -1, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*c - 2*c. Let j(r) = -4*r + 3. Suppose -14*g - 32 = -22*g. Let x be 0 + -4 + 3 - g. Let k(q) = 7*q - 6. Give c*k(p) + x*j(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 5*h**2 + 44*h - 298. Let s be g(6). Let y(c) = -c + 11. Let r be y(6). Find the third derivative of 15*q**r + 36 - 21*q**s - 36 wrt q.\nAnswer: 900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 1:51 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 50429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(7)*3 + sqrt(7) - (-1*sqrt(84))\/sqrt(12))*3*-6)**2.\nAnswer: 72576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s = -188. Suppose -5*r + 0 = -130. Suppose 0 = 4*v - s + r. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*s**3 - 2505*s**2 + 9695*s + 2580.\nAnswer: -5*(s - 4)*(s + 129)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 318*r + 2615. Determine g(-11).\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -109\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 15 = -a - 3, -2*a - b + 2 = 0. Does 16 divide (9 + -7 - 3\/a)*194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 31 + (4 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaafaaaaaa. Give prob of sequence aa.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**3 + 3*x**3 - 26*x**2 + 42*x**2 - 28*x**2 + x**4 in the form c*x**4 + h*x + z*x**3 + q*x**2 + n and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*o - 40*o - 12*o)*(-2*o**2 - 3*o**2 + 3*o**2).\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)*(8 - 7) + -54. Let p be 9248\/(-168) - (-1)\/3. Let h = w - p. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/119)\/u)\/(u*u**(-13)) assuming u is positive.\nAnswer: u**(1311\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-23\/2))\/(l*l*(l*l**(-14)*l*l)\/l*l) assuming l is positive.\nAnswer: l**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 21240*p - 12859803.\nAnswer: 3*(p - 7641)*(p + 561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 22*t + 10. Let h be x(12). Are h and -18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(119)\/(sqrt(7)*-2).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/27 - (-152)\/72. Solve 5*p + 3 = -b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/24032097 and 101\/1566.\nAnswer: 144192582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.6 (b) -0.023 (c) -2 (d) 2 (e) -5 (f) 36\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + 20 + -115 + 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose -2*q - 10 = -4*a, -25 = -m*a - 6*q + 3*q. Let x be (-6)\/36 + a\/66. Is x >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193240739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32523823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6 - (-4)\/6. Let l(f) = -2*f**2 - 18*f - 30. Let o be l(-6). Let b be 1\/(1\/o*2). Is s <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-4) - 4\/16. Let s be 2*(6 - p\/3). Let o = -4 + s. Solve 16 = 4*t, 0 = o*i + 2*t - 7*t + 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 2. Let k be t(-1). Solve 3*l - 18 = 2*q - k*l, -5*q - 3*l + 17 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51439.\nAnswer: 51439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11 = -1. Suppose 2*l = -o*l + 12. Suppose -11 = -l*z - 7. Solve -2*w = -3*w + z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = 0. Suppose c = v - 0*v. What is the derivative of -5 + 2 + v + o**4 wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-8)\/20 + -4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.676 + -10.8. What is f rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3*v = 20. What are the prime factors of (5\/v)\/(-1)*371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 18 = -20*h - 3*n + 45, 15 = 4*h - 3*n for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 + 5*o**2. Let t = 315 - 316. Let b(z) = 720*z**2 - 720*z**2 + z**3. Give t*d(u) + 4*b(u).\nAnswer: -u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**2 + 264*r + 43. List the prime factors of q(32).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110538*a**3 + 130356*a wrt a.\nAnswer: 663228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 - 2 = 0. Let u(c) = 1 - 6 - 1 + c. Let n be u(m). Solve n = 5*g, 2*v + 5 = v + 4*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3528.37457447238 and -4.\nAnswer: -3532.37457447238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 2*l**5 - 3*l**5 + (l - l - l**5)*(0 + 2 - 1) - 152*l**3 + 15*l**4 + 152*l**3 - 2*l**5.\nAnswer: -5*l**5 + 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*f\/f**(1\/3)*(f\/(f**(-6)*f))\/f**(1\/10) assuming f is positive.\nAnswer: f**(377\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + x = -219, 5*x + 3 - 132 = -2*w. Calculate the remainder when w is divided by 2\/(-8)*(-180 + 20).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9176112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4776525 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-15)*5\/15. What is the nearest to 0.1 in n, -0.7, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270275 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 2, 4, -4\/7, 49 in descending order.\nAnswer: 49, 4, 2, -4\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 60. Which is the third smallest value? (a) -0.1 (b) -6\/7 (c) x (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/408 and 150\/68*(20\/(-70) - (-238)\/1176)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 12 = h, 2*r = -58*h + 60*h + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 308.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415, -416, -417, -418?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 13. Let w = l + -26. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705*t - 7107 - 8073 + 27023 = -30782 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178883517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*f = -8, 0 = -m - 4*m - 2*f - 12. Let c = 6 + m. Solve 8 - c = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 49*c - 14. Suppose 2*o + 0*o - 48 = 2*j, -4*o + 5*j + 94 = 0. Calculate the remainder when o is divided by h(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 558694711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x + 20. Suppose -x*y + 2265 = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (111\/4)\/(132\/(-8)) and (1\/9)\/(4\/(-146)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k - 1. Let j(z) = 5*z**2 - 2*z - 1. Let u be j(-1). Let b = u + k. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -497+-177774\nAnswer: -178271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-6.6.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgsgfyg. Give prob of picking 1 f and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 571 divided by -4\nAnswer: -571\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/24 - 7*t**3\/6 + 8*t**2. What is x(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let y(v) = -v**2 - 11*v - 3. Let l be y(-10). Let g(b) = -5*b**2 + 4*b**2 + 5*b**2 - l*b**2. What is z(g(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 5*l**2 + 5*l - 1. Let u be r(-4). Let z = u - -8. Let j be (38\/4)\/(z\/6). Solve 3*b + j = -5*s, 5*b + s = -2*s - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 5*j**3 - 4*j**3 + (0 + 0 + 2*j**2)*(3*j - 6*j + j))*((-j + 0*j + 0*j)*(-3 - 1 + 2) - 21 + 0*j + 6*j - 4*j).\nAnswer: -20*j**4 + 105*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 555 divided by 26\nAnswer: 555\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22.3*82221.9\nAnswer: 1833548.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 3. Let c be l(-2). Suppose 0 = f - i - 5, -9 = f + 4*i + c. Let a be (-468)\/(-60) - (-24)\/(-4). Are a and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-6))\/(-10)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78035\/12 - -6511. Find the common denominator of (1370\/(-330) + -1)\/((-8)\/(-6)) + 7 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n - 755 = 0. Suppose -155*o = -n*o - 380. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 - 139. Let x(i) = 74*i - 28. Is 8 a factor of x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 340076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1723*v - 8 + 0*v**2 - 857*v - 867*v + v**2. What is h(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrjrrrrrrrmrmrrr. Give prob of picking 1 j, 1 r, and 1 m.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + k. Let s(t) = -2*t**2 + t. Calculate m(u) + s(u).\nAnswer: -3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51604 and 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3399, 3529, 3661, 3795?\nAnswer: 3931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 2*x + 2*f + 2*f, f = 0. Let p = 157 - x. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Let m = 3.999976 - q. Round m to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6 - 5) + (1 - -5 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 take away -7.3?\nAnswer: 734.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 5*o + 12. Let m(r) = 28*r + 582. Let z be m(-21). Determine n(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 9*s - 29 = 4*g - 36*s + 11*s, -95 = 13*g - 4*s for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3428.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75730 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3959*z = 1629*z + 60580 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/11 - 136320*n\/11 + 136314\/11.\nAnswer: 6*(n - 22719)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15054*t**3 - 30181*t**3 + 15082*t**3.\nAnswer: -45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 19 + 21. Suppose -9*a = -d*a + 85. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.0739 - -0.0261. Let o = -26 + w. Let l = 17\/6 - 13\/3. What is the nearest to -1 in o, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1151, 1523, 1883, 2225, 2543, 2831?\n\"Answer: -q**3 + 379*q + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827226 (base 9) to base 3.\nAnswer: 220221020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 11*s - 114. Let c(r) = -r. Calculate 4*c(w) - k(w).\nAnswer: -w**2 + 7*w + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 71*c + 181. Solve -m = -c*z, z = m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 3*g. What is the smallest common multiple of t(-3) and (154\/(-14))\/((-1)\/1)*(-334 + 337)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 6. Suppose 10 = 6*s - y. Calculate the least common multiple of 18 and (-222)\/(-27) + s\/(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 260084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w - 4. Let t = 292 + 46. Is t + w + 0 - 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69462\/8172*100\/34.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:47 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 286811, 285930, 285049?\n\"Answer: -881*y + 287692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/107858061 and -107\/969822?\nAnswer: 1510012854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2553 and 8436.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -0.5 (b) 0 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1420.605 - -1419. Round r to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683246 at least as big as 682484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 53. Let o be (-5211)\/(-24) + 5\/t. Let d = o - 142. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 11:38 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71616 + -1?\nAnswer: 71615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, 55, -4, -141?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 34. Let l = -42 + u. Let q be (-77)\/(-22)*l\/1. Calculate the highest common factor of q and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4662519 divided by -1554173\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 2. Let t be k(-4). Let y = 4 + t. Let n = -41\/6 - -521\/78. Put y, n, 0.4 in increasing order.\nAnswer: n, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -24 (b) 3\/4 (c) 1\/23 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 - 3*p**2 - 10*p**2)*(115 + 6781*p + 55 - 170) as a*p**2 + r*p**3 + k*p + u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.251 * -1.0301\nAnswer: 0.2585551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -z + 1, -3*u - 5*z + 1 - 4 = 0. Let g = -12150 + 12154. Let t be (4 + 0 - 3) + 0. Put t, u, g in descending order.\nAnswer: g, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71\/3*t + 1\/3*t**3 - 56\/3 - 16\/3*t**2.\nAnswer: (t - 8)*(t - 7)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 21. Let b = 53 + 24. What is the greatest common divisor of h and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 = -3046*u + 2748*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 164.1, 4, 3, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 0*d - d**3 - 1\/2*d**2 - 1. What is the second derivative of b(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -333302?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -707*t**3 - t**2 - 64*t - 31. Does 258 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5 and 69\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*((sqrt(112) - (-1*sqrt(112) + sqrt(112))) + 3).\nAnswer: 18 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15105933, -15105930, -15105927, -15105924, -15105921, -15105918?\nAnswer: -15105915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(187)*-2 - sqrt(187))*2)\/(((sqrt(891) - -1*sqrt(891)) + sqrt(891))*4)*-1)**2.\nAnswer: 17\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*o - 259 = 0, 4*o = 285 - 281. Let c(b) = b**3 - 5*b**2 - 6*b + 3. Let x be c(6). What is the highest common factor of v and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:28 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -192 or -194?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 188 = 4*n, 2*n = 4*n - 5*a - 106. Suppose 4*x = -n - 29. Let z = x + 38. Calculate the highest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (528\/84)\/((-10)\/(-35)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*c**2 + 17458033*c - 17458035*c - 575*c**2 + 24 in the form g + y*c + f*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**4 - 10600*c**3 + 447355*c**2 - 1662380*c + 1620060 = 0.\nAnswer: 2, 39, 2077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540 - 3031?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 16. Suppose -o*d = 2*z + 684, -708 = 4*d - 3*z - z. Let h = d + 1559\/9. Which is the third biggest value? (a) -1 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9031, 9270, 9509, 9748?\nAnswer: 9987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-35)\/2))\/(2\/(-28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*i - 54 = 0, -256 = -0*j - 5*j - i. Let k be (j + -57)\/((2\/4)\/(-1)). Solve -5*p - 40 = -5*x, 3*x = 2*p + 9 + k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -6) + (-10)\/2. Let u = -4 - -1. Is 1\/(u\/801*k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 140*y**3 + 1248*y**2 + 3440*y + 2944.\nAnswer: 4*(y + 2)**2*(y + 8)*(y + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14377331291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 7.44473.\nAnswer: -52.11311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7)*-4)\/((-666)\/259)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521, 532, 547, 566, 589, 616?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.026 + -257.974. Let l = -261.46 - x. Let u = l - -0.16. Round u to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 96. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 51874614 divided by -6\nAnswer: -8645769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*l = 9, -4*l - 24 + 9 = -5*p. Let k(j) = -4*j**2 + p*j**2 + 3*j**2. Let a(t) = -t**2. Determine a(k(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4621472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2229*f*j*w + f*j + 36*j*w - 31*w wrt f?\nAnswer: -2229*j*w + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + 4 - ((22 - (19 + 2)) + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 830529 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*n**3 + 7 - 7 - 127*n**3 + 518*n**3.\nAnswer: 521*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/120 - l**5\/30 - l**4\/6 + l**3\/6 + 2*l**2. Let n be (-2 - 12) + (1 - -6) + 4. Calculate q(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*r + 62*r + 176052 = 146*r. What are the prime factors of r?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*d + 1121 = -3*m - 68*d, -5*m - 54*d + 110*d = 51*d - 65 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -30, -44, -56, -66, -74, -80?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/873 and 23\/7236.\nAnswer: 701892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2*3\/15)\/((-14)\/10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**14*m**(-1\/11)\/m*m**(-14)\/(m\/(((m\/m**(-5\/3))\/m)\/m)) assuming m is positive.\nAnswer: m**(-47\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1426010 + -1426008. Determine f so that 2\/7*f**o - 4\/7*f - 30\/7 = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 96 = -3*u, 2*g + 2*g = -2*u + 78. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60 + (0\/(-3))\/3. Suppose 0*i - 3*i = -o. Suppose 10*n - 97 - 123 = 0. Do n and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 less than or equal to -1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -0*p. Differentiate m**2 - p*m + 1 + 3*m with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119923491 divided by 39974497\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvfz when four letters picked without replacement from evewzwzzmefm?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245 - -1221\/5. Which is the closest to 9? (a) s (b) 0.3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 51 = x + 4840, 0 = -6*r - 3*x + 14643. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77 and -2664608.\nAnswer: -205174816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15400895 is divided by 431.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*3\/25)\/((-2)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6678*w + 22 + 6689*w + 322 wrt w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*g + 9*g + 31*g)*(1 - 3*g - 1)*(-3*g + 4*g + 37 - 36) as x*g**2 + w*g + a*g**3 + n and give x.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 28*p**2 + 60*p - 78. Let d be k(-30). Let t(w) = 12*w + 3. Let h be t(-7). Let o = d - h. Solve 7 = 2*a + o, 4*v - 3*a = 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 537782649 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -13. Let h(m) = 8*m**3 + 14*m**2 - 2*m + 13. Let g(z) = 9*z**3 + 14*z**2 - 3*z + 15. Let i(d) = 6*g(d) - 7*h(d). What is the tens digit of i(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 28\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0*y**3 - 25*y**2 + 1\/90*y**5 + 1\/180*y**6 + 0*y**4 + 0 + 0*y. Suppose t(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/5 (c) 117 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/6 - 1064009*y**2\/6 - 12768241*y\/6 - 11704231\/6 = 0. Calculate y.\nAnswer: -11, -1, 1064021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2123280.39844944 - -2123281.8. Let i = -0.0984507 - r. Let c = 1.5 + i. What is c rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, -3, -3438.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**3 - 6*q**3 + 14*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/((-6)\/(-2)))\/(-1). Suppose 0 = 5*y - k*y, 0 = 3*z + 3*y. Let g = 2 - z. Solve 4*s - g*s = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -8. Let f = p - 14. Let z = -22.000044 - f. Round z to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229.053 + -4.\nAnswer: 225.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.9567 rounded to 1 decimal place?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7152 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130013103310 + 10?\nAnswer: 130013103320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/11, -624 in decreasing order.\nAnswer: 2\/11, -0.1, -624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 10. Let w be m(7). Suppose 0 = -j + 2*g + w, -j - j - 4*g + 2 = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-7 + ((-100)\/(-15))\/(32\/(-48))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507381277 minus 0?\nAnswer: 507381277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 5 = 4*n. Let h = -7 - n. Suppose 0 = 5*o + 2*x - 0*x + 205, 0 = -h*x + 10. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.46, 5\/4, 3.1, 5\/7, -0.4?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314414303 + -4?\nAnswer: -314414312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -0.1, 13453, 2\/7, -2\/17, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:08 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17*-106\nAnswer: -1802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44335283 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10129307863 less than -0.4?\nAnswer: -10129307863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24\/13 - -1217\/52. Let q be ((-4 - -1) + 283)*-1. Find the common denominator of v and 241\/q - (-2)\/7.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 + 128*u - 109. Give j(42).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 11*q**5\/15 + q**4\/8 + q**3\/2 + q**2 - 40*q. What is the second derivative of g(i) wrt i?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 129297.7kg?\nAnswer: 129297700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuuur. Give prob of picking 2 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/i**(-1\/3))\/(i\/i**(-2\/7)*i**(2\/9))*(i**(-1\/3)*i**(2\/7))\/((i**(2\/9)\/i)\/(i\/i**(-5)*i)) assuming i is positive.\nAnswer: i**(395\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 1332567*w + 2665148*w - 1332581*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 w, and 1 z when four letters picked without replacement from wszgzgzzzuazazzzwz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 6. Let o be x(3). Suppose 0 = -o*b + 4*u + 2, 0 + 8 = -b - 3*u. Let l(w) = -4*w + 2. What is l(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 49\/(-2) - 6\/4. Let u(q) = -5*q**3 - q**2. Let a be u(-1). List the prime factors of k\/(-7) + a\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 45092*j - 378 - 2*j**4 + 22548*j + 22543*j in the form k + c*j**3 + b*j**4 + p*j + r*j**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-16)*q*q\/q**(-14) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (216\/(-4))\/(2\/(-2) + 0). Let y = 83 - t. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*b**2 + 602*b**2 - 100*b**3 - 1207*b**2 - 378*b.\nAnswer: -100*b**3 - 2*b**2 - 378*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7251359 and 4?\nAnswer: 29005436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 11. Let l be z(-15). Let q be (4 + l)*1\/(-2) + 57. Differentiate -47*o**4 - 43 + 10 + q*o**4 wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + n - 2. Suppose 119 = -20*y + 19*y. Let z = 112 + y. Let r(m) = -4*m**2 - 2*m + 4. Determine z*f(j) - 4*r(j).\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 569874.\nAnswer: 5698740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 178?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + ((sqrt(19)*1)**2 + -4 - sqrt(19)).\nAnswer: -sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - u + 10 + 0*u - 14. Let m be p(4). Let z = -11 - m. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 1 + v**2 - 3*v + 2 + 2*v**3. Let a be p(1). Let t = -2 + 2. Solve -a*s - 5*r = 9, 4*r + t*r + 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 g when four letters picked without replacement from gigggittgiiiggtt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/11)\/j**(-3\/11))\/(j*j*j**(-11\/6)\/j*j*(j*j*j**(-38)*j)\/j) assuming j is positive.\nAnswer: j**(2347\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -80 - (127 - 3 - 131)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/9 (b) -1 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -69.\nAnswer: 8\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:24 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 - v**3*z - 9183*v**2 - 3*v*z + 31591*z wrt v.\nAnswer: -40*v**3 - 6*v*z - 18366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6150866.\nAnswer: 2, 3075433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 389136*f - 12618902208.\nAnswer: -3*(f + 64856)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0705 * -80\nAnswer: -5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.3, -24, 0.1, 7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o. Let m(r) = -7*r + 5. Let b(z) = 30*z - 21. Let t(l) = 5*b(l) + 21*m(l). What is t(c(y))?\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 135*a**3 + 55*a**2 + 55*a - 55. Let z(y) = 5*y**3 + 2*y**2 + 2*y - 2. Let l(q) = -4*q + 2. Let t be l(1). Give t*g(b) + 55*z(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501920548 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 7*w - 5*w - 8553 - 402*w + 8553 + (-4 + 0 + 2)*(5*w - w - 3*w) as y + n*w and give n.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(7 - 5 + 5)*(f + f + 0*f) as v*f + r and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -15. Let m(s) = -s**3 + 10*s**2 - 9. Let i be m(9). Calculate the highest common divisor of i and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -627 divided by -209.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(525) - (sqrt(525) + -3*sqrt(525) - sqrt(525)) - sqrt(525))\/(sqrt(3) + sqrt(768)) + -3.\nAnswer: -1 + 15*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = k + 37*l - 6, 10 = -4*k + 5*l. Solve k = -5*i - i - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.91 + 7.72. Let c = 737.81 - 734. Let i = c - m. What is the second biggest value in i, -3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - 23. Let t = -65 - y. Let w be (4 - (10 - 2)) + t. Solve 5*z = -0 - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1209 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28735, -229364, -773781, -1833880, -3581555, -6188700?\nAnswer: -9827209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8920 to the nearest one hundred.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 4*h + 2*x + 51 + 130, 4*x = -5*h - 170 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2. Let h(g) = -4 + 184*g**2 - 5 + 9 - 531*g**2. What is s(h(j))?\nAnswer: -361227*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -479.0237 to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34649, -69350, -104077, -138830, -173609?\nAnswer: -208414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25696033.382 rounded to the nearest one hundred?\nAnswer: -25696000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, g: 1, i: 4, x: 2, f: 2}. What is prob of sequence ii?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/9 (b) 0 (c) 34 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 3*i**2 + 2*i - 3. Let t be k(3). Let x be t\/(-4) - (-30)\/8. Is 7 a factor of (20 - -1)\/(x - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.94 - -19. Let l = b - -0.04. Is -14 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3, 2, 3, -1, -389 in descending order.\nAnswer: 3, 2, -1, -3, -22, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 1. Let n(l) = 6*l. Calculate n(g(h)).\nAnswer: 18*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5925 * -3\nAnswer: 17775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 9}. Give prob of sequence bb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.03 + -131.69.\nAnswer: -118.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4938080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 4*k + 2*k + 2 - 2 - 2*k - k - 4*k + 4*k + (-2 - 3 + 3)*(2*k + 0 + 0) - 4*k + 6*k - 3*k + k - 2*k + 0*k + (8 - 1 - 3)*(0*k + 2*k - k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:50 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 12*g + 13. List the prime factors of u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-160160)\/(-54) - (-15)\/3645*18?\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 - m**4\/12 - 4*m**3\/3 + 5*m**2\/2 - m. Let g(j) = -j**3 - 7*j + 4. Let k(q) = -6*g(q) + 5*i(q). What is k(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*p - 3*x, 2*x = -3*x - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 46890 = -79*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 - 1161*w**2 - 44*w**3 - 1159*w**2 + 3471*w**2 - 1156*w**2.\nAnswer: -61*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15631889*j + 15631889*j + 4*j**3 - 11*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from ouououu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92791?\nAnswer: 92791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 11. Let h be p(10). Suppose 3*d = 4 + 5. Suppose 0*b - 14 = -n - 2*b, 4*n = d*b + 1. Sort -2, h, n.\nAnswer: -2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3684538 nanograms to micrograms.\nAnswer: 0.0003684538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 2) + (-1)\/(-1). Let h = o + 8. Suppose -5*z - 4*k = -55, -3*z + 4*z - 2*k = -3. Calculate the remainder when z is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from shsmumsveuemsvessuu?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-21)*18\/4*(-1190)\/(204\/(-6)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45595803*l**2 - 117223697*l wrt l?\nAnswer: -91191606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49687 or -49685?\nAnswer: -49687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.5 + 11. Let d = -440 - -8358\/19. Which is the nearest to 0? (a) f (b) d (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382 divided by -19092?\nAnswer: -691\/9546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j - 1\/3*j**3 + 7\/2*j**2 - 3. What is the second derivative of l(y) wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15248 in -2\/3, -4\/9, -2\/7, 5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 4*f = -13*k - 24582, 4*f + 28 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 + 388. Suppose -s*o = -28*o + 4880. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -41. Suppose -h + 4*h + 3 = 0, 2*f = h - 3. Let a be (f + 3)*(9 - 1). Calculate the highest common factor of t and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/14280 and -11\/340.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**50\/(((r**(-1\/4)*r)\/r)\/r**(-1\/4)))\/((r**(-1)*r)**42\/(r\/(r*r**(-2\/5)))**(-13)) assuming r is positive.\nAnswer: r**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by 41665?\nAnswer: -83\/41665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**2 + 2553*u + 1072?\nAnswer: 4*u + 2553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*j + 764 - 765 + 66*j.\nAnswer: 144*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 - 174. Let s(h) = -2*h**2 + 0*h**2 - 25*h**2 + 2*h**a. Let w(d) = d + 1. Let g(m) = 8*m + 7. Let f(y) = 2*g(y) - 14*w(y). What is s(f(r))?\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11461, 11465, 11469, 11473, 11477?\nAnswer: 11481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (2 - -2) - (-1 + -2 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 10*q - 6*q + 43 + q.\nAnswer: -14*q + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l - 94. Let m(i) = -7*i - 49. Calculate 5*m(u) - 3*n(u).\nAnswer: 4*u + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232361 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.83 + -293.17. Let m = o - -297.99639. Round m to four dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38037 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 - r - 1. Let o(k) = -27*k**3 + 24*k**2 + 24*k + 24. Determine 72*m(t) + 3*o(t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:27 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2351 - -3437. Suppose 4*x = 3130 - k. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (7 - 4 - (-7 + 2 + 20))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 - ((-8 - -5) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p**2 - 2*p**2 + 39*p**2 - 4*p**2 to the form o + v*p**2 + l*p and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {e: 1, a: 1, x: 1, u: 1, j: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -30. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let w be ((-15)\/10)\/((-9)\/(-48)*4). Let u(a) = -6*a. Determine w*u(c) + 11*i(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 4. Let f be x(0). Solve 7*d - 8*d = f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1660826 + 49970.\nAnswer: -1610856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + g - 4, -75*b = -72*b - 2*g - 32. Let k = 24 - 20. Solve -7*h + b*h = -k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -31*n - 221. Let s(h) = 73*h + 443. Calculate -14*o(u) - 6*s(u).\nAnswer: -4*u + 436","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-15))\/((-2)\/24). Suppose -2*m - 13 = -3*l, 4*l - 21 = 3*l + t*m. Let d(g) = g**2 + 0*g**2 + 3*g - 3*g. Let z(w) = -w**2. What is l*d(q) + 2*z(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 11886095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 39.97. Let m = p + 1.43. What is the second biggest value in m, -2\/7, -32?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g + 9. Suppose -r - 14 = -5*f, 5*f - 14 = -2*r + 18. Calculate the least common multiple of g and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 + 2 - 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 324.6789?\nAnswer: 325.1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 394*q**2 + q - 12. Let j(d) = -391*d**2 - d + 8. Let g(s) = -3*j(s) - 2*w(s). Let l(y) = 5*y**2. What is g(l(p))?\nAnswer: 9625*p**4 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52, 45, 36, 25, 12, -3, -20?\n\"Answer: -p**2 - 4*p + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 12:34 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 + 8*l + 12. Let p(v) = -1. Let h(i) = -a(i) - 5*p(i). Let w be h(-7). Solve 3*m = -6, 2*m + w = -2*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-472)\/(-14084)*7\/(-14) and 89\/2012.\nAnswer: 14084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16706\/65 + -3336\/13. Which is the second biggest value? (a) -3 (b) -1\/2 (c) h (d) -3\/11 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((0 - (-10 + 5)) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q + 7. What is l(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*q + 27, -42 + 24 = -2*q + 4*b. Which is smaller: -24\/37 or q?\nAnswer: -24\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 120 - 2)*(-10*q + 10*q - 22*q**3) to the form x*q**2 + p*q**3 + n*q + s and give p.\nAnswer: 2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:54 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -20, -29, -38?\n\"Answer: -9*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 7*q**2\/2 + 7*q + 4.\nAnswer: (q + 1)*(q + 2)*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429543 and 1701?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, -76, -275, -548, -889?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z + 4 = 0. Let v = z - -3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 82. Solve -2*k + 14 = 3*z, -q = -3*z + 4*k - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-216)*1\/(-9)*4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.719107 rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32611530 and 3486.\nAnswer: 32611530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1767018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -31, -74, -169, -334?\n\"Answer: -3*k**3 + k**2 + 9*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 = 5*i + 4*n, n = 2*i. Let d = -44 - -47. Suppose 6*y + d*x = 3*y - 18, -3*y = -3*x + 42. Put y, 0, i in increasing order.\nAnswer: y, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5835 + 5751. Let s = -6 + -79. Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -68. Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 + 538024*w**2 - 18099394020*w + 506361309552 = 0 for w.\nAnswer: 28, 67239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 1\/2*x**3 + 0 + 0*x + 0*x**4 + 9*x**2 + 3\/40*x**6 + 0*x**5. Differentiate n(z) wrt z.\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((4*(-4*sqrt(637)*-2 - sqrt(637)) - (-1 + sqrt(637) + 0 + 5)) + 0)*-6)**2.\nAnswer: -50154012 + 163296*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483164251157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence impp when four letters picked without replacement from {p: 5, m: 3, i: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1605\nAnswer: 4\/1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 138\/42 + (-4)\/14. Let s = -121 - -171. Let j = s - 46. Solve 0 = -5*f + 5*x - 20, -j*x + u + 9 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, 55, 76, 95, 112, 127, 140?\n\"Answer: -p**2 + 26*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = -r, 5*j - 3*r + 2*r - 3 = 0. What is the units digit of 3\/j*70\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 56 - 61 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 2:18 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1204\/16 - 10)\/(2\/8) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 270*p + 1112.\nAnswer: -2*(p - 139)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 717579 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.4, 14, 2\/253, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4138992 by -9648.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 15*c + 272. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337347997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 701093 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200422*x**3 + 400843*x**3 - 200425*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -478, -496, -540, -622, -754, -948?\n\"Answer: -2*w**3 - w**2 - w - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 + 3*f - 7. Let r be u(-4). Which is the second biggest value? (a) 6 (b) 5 (c) 0.1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 - 14*g**4 - 243*g**3 + 4752*g**2 - 20844*g + 27216 = 0 for g.\nAnswer: -18, 3, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/123, 76\/13, 4.\nAnswer: 1\/123, 4, 76\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - -21. Suppose 2*g - i - 27 = 0, i - y = -4*g + 4*i. 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 the highest common divisor of 938111 and 7089?\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n - n + 4*n)*(0 + 0 - 2*n) + 2*n**2 + 4*n**2 - 5*n**2)*(2*n - 2*n - 3*n**3).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/7262579 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17671472 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*q - 1007*q + 11868 = 0 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -770954556 divided by -102?\nAnswer: 7558378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -9\/3876022, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1107 divide 170668404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69297462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 84 + 172 - 9*o**2 - o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1520 (b) -3\/5 (c) 5\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 451, 1\/4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 u when three letters picked without replacement from ujjuuuuuuuu?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -39089 and -39070 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/50)\/(46\/10 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 150.5 (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/4 + -2 + 9\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 81\/24) + (-8)\/(-1). Put -1815, -4, d in ascending order.\nAnswer: -1815, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/4 + 49933461*s\/2 - 2493350527438521\/4 = 0.\nAnswer: 49933461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 > -224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13679310.\nAnswer: 2, 3, 5, 455977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*t = 26, 0 = -0*t + t - 5. Suppose 0 = i*s + s. Factor s*m + 2*m + m**2 - 3*m**2.\nAnswer: -2*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 337*t + 16 = 335*t, 12 = -8*l - 5*t + 37 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93904231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + a + 3)*(-3199 - 1286 - 3613).\nAnswer: -8098*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-78)*(-15)\/20\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 67\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:00 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 48\/(-6))*(-1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 10*y - 15. Suppose 0 = -4*i - 4, 0 = -3*o + 5*i - 29 - 2. Is h(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.828 to 2 dps.\nAnswer: -1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:19 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 66723006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/76 and -99\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y**3 + y**2 + y - 3. Let w be x(2). Let a be 2\/(w\/(-15) + -3). Solve -3\/2 - 3\/4*f**4 + a*f**3 - 3\/4*f + 9\/4*f**2 = 0 for f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*q + t, -2*t = -4 + 14. Sort q, 5, 4, -4 in increasing order.\nAnswer: -4, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 728 = 16*b. Suppose 151 = -2*g - d, 0 = 4*g + d + 153 + 150. Let s = b + g. Calculate the highest common divisor of s and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39826.9 to the nearest one hundred.\nAnswer: -39800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1117*r**4 + 412*r + 3 wrt r?\nAnswer: 13404*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 479.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + (-57)\/42*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:57 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-60))\/(10*(-12)\/(-600)). Sort 0.24, 27, d in descending order.\nAnswer: 27, 0.24, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1265, -7\/11 in ascending order.\nAnswer: -7\/11, 4, 1265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13110, -13219, -13330, -13443, -13558, -13675?\n\"Answer: -l**2 - 106*l - 13003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12332 and 16044?\nAnswer: 49463652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:18 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8096, 16223, 24350, 32477, 40604, 48731?\nAnswer: 56858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 10*x**2 - 13*x + 2. Let a be c(9). Let j = -148 - a. What is the least common multiple of j and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7 + 2 + 5 - 2*o. Is z(-5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243455801 to the power of 1\/3, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70910, 70965, 71052, 71171, 71322?\n\"Answer: 16*b**2 + 7*b + 70887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*q**3 + 107*q - 204*q - 282*q**3 + 97*q.\nAnswer: -487*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qooqoqhqooqqoqqoo. What is prob of sequence qoq?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17777.36 litres to millilitres.\nAnswer: 17777360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/12 + -89\/156. Let j = -0.4 + 0.2. Let t = j - 0.3. What is the second smallest value in m, t, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-6) - (-1)\/(-3). Suppose -48 = -4*i + 2*f, -l*f + 30 = -3*i + 4*i. What is the highest common factor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3407*g**3 - 116*g**2 + 408157 wrt g?\nAnswer: 10221*g**2 - 232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-180)\/18*(-16)\/(-40). What is the closest to -0.165 in x, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452041485 divided by -30136099.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5 - -3 - 10653\/(-159) and 445?\nAnswer: 5785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 156 (b) -36 (c) 9 (d) -1\/3 (e) 3 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11 from 19042242659.\nAnswer: 19042242670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.7641 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 5621494.\nAnswer: 8\/2810747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 3244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1489.\nAnswer: 2\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/20 - 13*m**4\/12 + m**3\/6 + 17*m**2\/2 - 12*m. Let h be g(-13). Suppose v = -3 + 8. Solve -h*l = 3 + v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 6 - (-1 + 2). Suppose -z*j + 16 = -28. What is the least common multiple of 14 and j?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/(-840))\/((-36)\/(-84))*(-16)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 435994 and 492?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 236 = 3*u, 3*u - 7*n = -9*n - 226. Let g be u*(1 - 45\/42). Find s, given that 12\/7*s**4 + 25\/7*s**3 - g*s - s**5 - 22\/7*s**2 - 8\/7 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 3*t**2 + t**2 + 1)*(2 + 1 + 0) as m*t**2 + g*t + z and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -623374 + -12.69325?\nAnswer: -623386.69325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1356823555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71668*h**5 + 14*h**4 - 6186*h**2 - 3*h - 28.\nAnswer: -4300080*h**2 + 336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/10 + 2201*h**2\/10 - 1547899*h\/10 + 67832943\/2 = 0 for h.\nAnswer: 435, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, 0.3, 1115\/6, -0.5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -10, 61 in ascending order.\nAnswer: -10, 2, 6, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 3:34 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1027, -4097, -9215, -16381, -25595, -36857?\n\"Answer: -1024*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 2, q: 5, r: 3, u: 2}. What is prob of sequence qxx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 122*s**3 - 4320*s**2 - 60928*s - 303104.\nAnswer: -(s + 16)**3*(s + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 1. Let f be ((-2)\/8 - 0)\/(17\/68). Let b be t(f). Suppose w - 5*d + 17215 = b, d = -4*w - 3*d - 68788. What is w rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33687423.\nAnswer: 3, 7, 11, 48611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4225348?\nAnswer: 2, 61, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 363494699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.51 - -0.01. Let v(w) = -w**2 - 12*w - 20. Let m be v(-6). Suppose -m + 6 = -2*x. Put -0.4, a, 7, x in ascending order.\nAnswer: a, -0.4, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1884087 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, -3, 2\/21, -2, 5\/4, 11 in descending order.\nAnswer: 172, 11, 5\/4, 2\/21, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9304 + -9355.796. Let l = 51.7 + n. Do l and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Let t = g + 6.4. What is t rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3\/4, 0 in decreasing order.\nAnswer: 2, 3\/4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - u - 3*u**2 + 3502 + u**3 - 3499. What is d(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47471.16706 - 47469. What is k rounded to 2 decimal places?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 738*f**4 - 735*f**3 - 3*f**2.\nAnswer: 3*f**2*(f - 1)*(246*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r - 11. Let z be l(-6). Suppose -t + 0 = -z. Let o = -8 + t. What is the highest common divisor of o and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 6*o + 2*o)*(-3*o + 3*o + o)*(1 + 1 - 6).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r + 3*r - 83 + 86 + (0 + r + 0)*(1 - 1 - 2).\nAnswer: -8*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 3*i - 15, -i + 128 = 4*b. Let v be 5192\/b*(-3)\/(-2). Suppose 0 = -4*j + 976 - v. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316840.827 rounded to the nearest 1000?\nAnswer: 317000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 267433 (base 10) in base 7?\nAnswer: 2162455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68.4 + 66.4. Which is the nearest to -0.2? (a) -4 (b) r (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2048\/11*z + 4088\/11 + 2\/11*z**2 = 0. Calculate z.\nAnswer: -1022, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3292*v*x**4 + 4*v*x**2 - v*x - 2*v - 15848*x**6 + 29*x**2 + 4*x + 904 wrt x.\nAnswer: 79008*v*x - 1901760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-9))\/((-1)\/3). Is (c\/3 - -1)*(-92196)\/312 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14176*-1112.9.\nAnswer: -15776470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46339686 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000337356 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -9\/4*h**3 + 3*h**4 - 3\/4*h**5 + 0 + 3*h - 3*h**2 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275c9c (base 16) to base 12\nAnswer: -a449b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 2*n + 66*v - 85*v, 4*v = 2*n + 22 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -478.\nAnswer: -1\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1*3 - (-2145)\/385.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/83674987?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 48152560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83826 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20144 take away -3.459855?\nAnswer: -20140.540145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666952*-56.\nAnswer: -37349312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826772.\nAnswer: 2, 139, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p - 608 = 9*p. Let t be 0 - (236\/(-9) + p\/(-72)). Solve t = 11*j - 24*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2884 by -412.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 0.8, 2\/7, -477, -0.4.\nAnswer: -477, -0.4, 0, 0.2, 2\/7, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*l + 26 - 13 - 15 - 150*l**4 - 6*l**4 - 133*l**4 wrt l?\nAnswer: -3468*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29407 times 4683?\nAnswer: 137712981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/418?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/3, 692, -2\/7, 0.398, -5 in ascending order.\nAnswer: -5, -1\/3, -2\/7, 0.398, 4, 692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/7313231 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8323296 to the nearest integer?\nAnswer: 2885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-182)\/(-21) + -8) + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 13) to base 10\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 386887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 273654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 94 = 1114. List the prime factors of q\/(-1) + (-3 + 2)*-2.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2817050380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.754 litres in millilitres?\nAnswer: 408754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/10 - a**5\/15 + a**4\/24 - a**3 + 14*a**2. Is y(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7080.81563 minus -0.5?\nAnswer: 7081.31563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2111 and 28819372.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -359.002192 + 0.5\nAnswer: -358.502192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54127 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) + (sqrt(147) - sqrt(147)*-2) + 5) - sqrt(147))**2 + ((sqrt(5184) - sqrt(5184)*-2 - sqrt(5184))\/sqrt(12))**2.\nAnswer: 280*sqrt(3) + 4105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 4*k + 36, 0 = -3*n + 2*k + 23. Let i(a) = -a**2 + 4*a + 8. Let b be i(-2). Put 1, b, n in decreasing order.\nAnswer: n, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -4) + -5 + 11 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2\/13 (b) 24.5 (c) -1 (d) 5 (e) 2\/4343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*i - 110 = -2*f, -5*i = 5*f + 70. Let n = 22 + f. Solve -4*z + 15 = -n*d, 0 = -4*d + 5*z - z - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-1) - (-41 + 26). Let g = -4 - -5. Put 2, g, f, 9 in ascending order.\nAnswer: g, 2, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 15 = h. Let n = 158 + -155. Calculate the remainder when 60 is divided by (21\/1)\/(h*n\/9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, -29, 0, -2, 0.1, 0.3 in descending order.\nAnswer: 0.3, 0.1, 0, -2, -29, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 734342 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -72, -153, -236, -321?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u + u)*(-3*u**2 + 4*u**2 + u**2) - 11*u**3 - 3*u**3 + u**3 in the form j*u**3 + q + v*u**2 + y*u and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10270 + -65?\nAnswer: 1020b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - -11522?\nAnswer: 11546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 23 = 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 26, 82, 140, 200, 262, 326?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 11:08 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 - 8*u + 43*u**3 - 4*u**2 + 20*u + 4*u**2.\nAnswer: 33*u**3 + 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 3*v + 48, -4*z = -111 + 87 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/60 - n**4\/4 - 2*n**3\/3 + 3*n**2. Let m be s(-5). What are the prime factors of 1\/((-1)\/(-6)*m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468046 - 3136737?\nAnswer: -2668691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804669?\nAnswer: 17, 83, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 45*u**2 + 90*u - 339. Give r(-46).\nAnswer: -2363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(18)*-2 - (sqrt(90)\/sqrt(20) - sqrt(18)))\/(sqrt(150) + -4*-1*sqrt(150) - (sqrt(150) - -1*sqrt(150))*1).\nAnswer: 13*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)*p*p)**(-5\/2)*(p*p**(-2\/31)*p*p)\/(p*p\/((p**7\/p)\/p)*p) assuming p is positive.\nAnswer: p**(29\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6493\/26004 + 2\/6501. Which is the nearest to 1\/4? (a) 5 (b) 49 (c) z (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 6835*f**6\/3 - 2*f**3\/3 - 26*f**2 - 41*f + 11396. What is the third derivative of t(i) wrt i?\nAnswer: 820200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 4*t**4 - 9*t**4 + 20*t**4 - 4*t**4 - 2*t**4 - 16 - 2*t**2 to the form u*t**2 + v*t + g*t**4 + n + z*t**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -0.58763\nAnswer: -7.05156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31193 + -31190. Let c(y) be the third derivative of -1 + 0*y**4 + 0*y**r + 1\/12*y**5 + 15*y**2 + 0*y. Let p(u) = -4*u**2. Give p(c(n)).\nAnswer: -100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30311 - 30310.8. Let a = 2.5 + -2. Let y(h) = -h + 1. Let x be y(3). Sort -0.2, o, a, x in increasing order.\nAnswer: x, -0.2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Solve -5*j = 3*q + 1, -3*q + 4*j = -f*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -185*s**2 - 2798. Let d(c) = 371*c**2 + 5599. Let y(l) = -4*d(l) - 7*u(l). Differentiate y(t) wrt t.\nAnswer: -378*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 1203 = -z - 5*j, -4*z - 3*j = -4797. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000557941 to 6 dps.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbfbssbsbssssff. Give prob of sequence bfb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1252, 1241, 1242, 1261, 1304?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244415288 divided by -517829.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = m - 23, 16*f + 55 = -5*m + 107 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9922*c**4 + 9372*c**4 + 4*c - 2 - 5*c**2 + 2 as s*c**3 + f*c**4 + m*c**2 + q*c + p and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000577182121 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/(n*(n\/(n*n**(-10)))\/n))\/n)\/n))**(10\/7))**8 assuming n is positive.\nAnswer: n**(960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.1240623\nAnswer: -0.3721869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -72. Let z = -44 - g. Let m = 35 + z. Calculate the remainder when 51 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -31102\/11443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8588 + -8588. Is l not equal to -0.631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -46.\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30983.\nAnswer: 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 4\/3, 2\/175, 5\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*m + 504 = -146*m + 72*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127b958 (base 13) to base 2.\nAnswer: -10110000110110100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14146*t**3 - 6964*t**3 - 7186*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10628 = -3*u + 4*z, -15*u + 18*u + 2*z = -10616. Round u to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*(sqrt(2) + sqrt(2) + 0))**2 - (sqrt(18) - sqrt(2))*1).\nAnswer: -6*sqrt(2) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-2)*(-160)\/(-320). Factor 0 + 9\/5*g**c + 0*g + 3\/5*g**4 - 1\/5*g**5 + g**2.\nAnswer: -g**2*(g - 5)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 80*p**2 - 83*p - 162. Let a be s(-81). Suppose -3*i + 5*q + 85 = 0, 5*i + 3*q = 28 + 57. Solve a = r + 3*r - i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/(-6)*2*(-3120)\/832?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14988\/451 - 1370\/41. Which is the nearest to -4? (a) -2 (b) j (c) -5\/4 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8513 - 6897. Calculate the greatest common divisor of 32 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 45. Let w be (1 - (0 + 7))*(-10)\/(-10). Calculate the remainder when r(w) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 4. Let c be h(3). Solve -2*g + c = 0, 0*p + 5*g - 13 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -h + 2 + 4. Which is the closest to 46? (a) h (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.32 + -11.3519. What is w rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-4 - (-5 - -8)) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -437731 (base 13) to base 8\nAnswer: -6034401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(1\/63). Suppose 0*o - 3*o - k = 0. Is o - -10 - 14\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:59 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1243133403 (base 5) to base 12\nAnswer: 1055650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 32. Let q be h(15). Sort 3, q, -5, 4 in decreasing order.\nAnswer: 4, 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - 7)\/((-2)\/5). Let s = v - 5. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**7\/2100 - n**6\/225 + n**5\/100 + 8*n**3\/3 - 16. Let g(k) be the third derivative of r(k). Solve g(j) = 0 for j.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-33))\/((-28)\/3 + -2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6081004 or -6081007?\nAnswer: -6081004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 77*a - 76. What is g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3 + 3966*r**2 + 161151*r - 165120 = 0.\nAnswer: -1280, -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*u + 9, 13 = -m - u - 0. Let l be 432\/56 + m - 4\/(-14). Which is smaller: l or -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-3))\/(273\/182))\/((-1)\/(-288)*-3).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323302102 (base 5) to base 12.\nAnswer: 569378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33515 is divided by 33514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 + -116.9. Let k = -14 - t. Which is the nearest to -1? (a) k (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52800846?\nAnswer: 2, 3, 7, 1257163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:58 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8358384 divided by 2089596.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49067419*c**5 - c**4 + 2*c**3 - 82782628*c**2 + 2*c wrt c?\nAnswer: -2944045140*c**2 - 24*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 27 + 53. Suppose -10 = 5*x, 2*n + o = -0*n - 4*x. Let l = 0 - n. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -3051*k**5\/5 + k**3 - 9*k**2\/2 - 8*k + 1322. What is the third derivative of j(h) wrt h?\nAnswer: -73224*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -110, -5, -2 in descending order.\nAnswer: -2, -4, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 72675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1440)\/42)\/20)\/((-4)\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-285)\/(-18)*(-9)\/10. Let x = s - -14. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i - 16*i + 16*i. Let c(u) = 3*u. Give c(g(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1897*k + 1907*k = 80 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 5*k**2 + 5*k + 5. Let l(w) = -3*w**3 + 7*w**2 + 7*w + 7. Suppose -3*v + 0*g + g - 23 = 0, 4*g = -v + 1. Give v*p(m) + 5*l(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/2529 and 101\/181148055?\nAnswer: 543444165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (227\/(-12))\/(1\/(-4)). Let k = m - 77. Suppose p + 9 = 14. Which is the nearest to -0.1? (a) p (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-4))\/(-2)*-2. Suppose 0 = 2*u + 5*m + 137, 6 = q*m - 4*m. What is the common denominator of -85\/112 and u\/(-12)*2\/(-2)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -252 - -252.124. Let q = k + -0.224. Let d = 3.6 - 4. What is the fourth smallest value in 0.1, d, -10, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5 - 2. Let x(f) = 21*f**3 - f**2. Let m be x(s). Let q be m*3 + -1 + 1. What is the greatest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20cbe5 (base 16) to base 14\nAnswer: 3dd40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (4 + -3 - (7 - 10)) - (1228 + -1214).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m. Let i(l) = 2*l**2 - 5*l - 4. Let g be i(4). Let o be 2\/2 - 10\/g. Is o at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (9 - 5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56948399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 7) in base 13?\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-16)\/(-8))\/(1*-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 4 (c) 1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37702850 rounded to the nearest one hundred thousand?\nAnswer: 37700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2254 = 5*s + 536, 0 = -4*p + 20. Find the common denominator of 61\/14 and (15704\/s)\/13 - 4\/(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32659\/9 greater than 2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1720885 and 29\/5851009.\nAnswer: 29255045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2946, 5610, 8274, 10938, 13602?\n\"Answer: 2664*d + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - (-21)\/(-2))*16\/(-6). Which is the fourth biggest value? (a) 3\/5 (b) 3 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 2\/9, 244\/1157, 2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1339*d - 6757. Calculate s(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * 861229\nAnswer: -1033474.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778583 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {l: 1, i: 1, d: 6, k: 1, m: 3, z: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 837 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntztnnntntntwnnw. What is prob of sequence wz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1680*o - 507*o - 516*o - 657*o + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*a + 9 - 297 = 0, -2*g + 4*a + 184 = 0. Suppose 9*m + 80 - g = 0. Is m greater than 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2318661739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196588230?\nAnswer: 2, 3, 5, 1889, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zuufueuuzz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181735*k**6 - 163349*k**2?\nAnswer: -21808200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abddddbdadbd. What is prob of picking 1 b and 1 d?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**4 - y**3 - 230.\nAnswer: -4*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 11 = a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 3 - (-5 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 - 94. Which is the biggest value? (a) -0.4 (b) -1\/4 (c) -4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58, -79, -106, -139, -178, -223?\n\"Answer: -3*b**2 - 12*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5425 and 30306325.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = 0. Let x = h - 1. Let g be (3 + -3)\/(x + -1). Solve 2*z + 7*y - 21 = 2*y, 2*y - 6 = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290411.6 millennia to months.\nAnswer: 3484939200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*j - 422180 = 0, 5*j - 880974 = -5*q + 174506. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 10. Suppose -41*z = -113*z + 288. What is d(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 + 23166*n**2 - 46320*n = 0. Calculate n.\nAnswer: 0, 2, 7720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52530, -76272, -100016, -123762, -147510?\n\"Answer: -z**2 - 23739*z - 28790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39, 3, -3, 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 313 + -98c?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5511*h*t**2 - h*t - 32*h - 3142*t**2 - 83*t - 1 wrt h?\nAnswer: -5511*t**2 - t - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73940855*u - 233064822 wrt u?\nAnswer: 73940855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15410076 to three dps.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -195 (b) -0.1 (c) -0.5 (d) 1.1 (e) 0.483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1. Let u(j) = 5*j**2 - 11. Calculate 2*u(q) + 22*x(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7 = -97. Let a be (-2)\/((-3)\/c*-4). Sort -3, 1, a.\nAnswer: a, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -333\/5*r - 3\/5*r**2 + 678\/5 = 0.\nAnswer: -113, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41*30\/(-19065))\/(-2).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49543, 49539, 49533, 49525, 49515, 49503?\n\"Answer: -m**2 - m + 49545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1051, -0.2, -0.4?\nAnswer: 1051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3 + 3411*v**2 + v + 47013?\nAnswer: 3*v**2 + 6822*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -647567 (base 8) to base 15.\nAnswer: -44436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 4*c - 15, -4*c + 2*y + 14 = 0. Let d be 0 + c*(-42)\/(-24). Factor 3*o + 10*o**2 - o**3 + 2*o**3 + 4 - 11*o**2 - d*o.\nAnswer: (o - 2)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 33*g**2 + 268*g - 35. Let p be q(-15). What is the closest to 2 in 15, p, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 = -5*i - 4*s, 107 = 2*i + 3*s - 23. Let l = 65 - i. Solve -5*f + 1 - l = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 0 + 7*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2478974 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -55. Calculate the remainder when s is divided by (-5300)\/(-350) + -2*(-2)\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 56, -3, 3.\nAnswer: -5, -3, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 31442 to the nearest one hundred.\nAnswer: 31400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 639\/9*(64 - (-2)\/1). Suppose -3*p + 1139 = 3*j - 2374, i = 4*j + 2*p. Let s(v) = -2*v**2 + j - 1172. Let x(l) = -l**2. Give x(s(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 + 83 = 6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(136) + -2*sqrt(136) - sqrt(136)) - sqrt(136))\/(sqrt(8) - sqrt(32)\/sqrt(4)*4) + 2)**2 + -3.\nAnswer: 52*sqrt(17)\/3 + 2882\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 210*d**3 - 2991*d**2 - 23940*d - 38988.\nAnswer: -3*(d - 38)**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 - 275 + 153 + (3 - 2 + 1)*(-2 + 4 + 0))*(-4 + 2*o + 4).\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 38 = -3*p - 14, 5*c - p = 16. Suppose 0 = c*l - 3*n - 404, 29 + 79 = l + n. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w + 2. Let u be ((6\/(-3))\/4)\/(4\/8). Calculate the remainder when 28 is divided by f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2509 + -2508. Let l = 5 - 4. Let u be (-1 - (-5)\/l)\/2. Sort t, -5, -4, u.\nAnswer: -5, -4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 19*c**3 - 15*c**3 + 16*c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 11 = f - 5*j, -3*j + 20 = -2*f + 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 333*h - 25408.\nAnswer: (h - 397)*(h + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -105922, -105774, -105626, -105478, -105330?\n\"Answer: 148*d - 106070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -28*z + 42, -85 = 3*n - 64 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861703 is divided by 430769?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 190.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54695*x**3 - 93110*x**3 + 496*x**3.\nAnswer: -147309*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuhu when four letters picked without replacement from {t: 9, u: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3528 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*s - 17*s + 14*s + (28 + 61 - 24)*(-1 + s + 1) + (-5*s + s + 2*s)*(-4 + 1 + 1) - s + 2*s - 2*s as n + o*s and give o.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.3 + -6.8. Let i = -0.4695 + y. Round i to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 2*r**2 + 165*r + 491. Let p be w(-3). Let s = -0.04 + -0.26. What is the closest to -0.4 in s, -2, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1764 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -62ae63 (base 16) to base 15\nAnswer: -87b2eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + 18. Let b = -187\/45 - -101\/10. Find the common denominator of b and 166\/(-6)*c\/16.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 15*j**3 - 4*j - 4. Suppose 49 = -10*w + 9. Let k(y) = -16*y**3 + 5*y + 5. What is w*k(u) - 5*x(u)?\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14901 and -3331?\nAnswer: -49635231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y - 14. What is the hundreds digit of (6\/15)\/(y\/3395)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 646\/9 + -72. Let d = -112.4 + 112. What is the third smallest value in d, 7\/3, m?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -14, -23?\n\"Answer: -9*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 6*b**5\/5 - b**4\/12 - b**3\/6 + 75*b - 2. Calculate c(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-519)\/(-171)) + (-29230)\/450300?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0 - 3*y + 1\/6*y**3 + 0*y**2. Let u(b) = 4*b**2. What is x(u(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/39 and 26\/63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5719, 11550, 17385, 23224, 29067, 34914, 40765?\n\"Answer: 2*h**2 + 5825*h - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*p = -24, -5*m + 15*p = 12*p + 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*s - 25 = -6*j - 17, 135*j = 132*j - s - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4770467 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46535 and 677595.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6527*f**3 + 5245*f**3 + 8276*f**3.\nAnswer: 20048*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 13*t**3 - 3921*t - 3921*t + 7843*t as m + b*t**3 + z*t**2 + p*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81)\/(-4) - (-4)\/(-16). Suppose 8*d = 100 - l. Is 11 a factor of 2398\/55 - 6\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from txtvptwwvswvwxx?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 + j + 1. Suppose -f + 2 = 4, -2 = -2*q - f. Suppose -q - 8 = -2*l. Suppose -3*k - l*v = 28, 5 - 3 = 3*k - v. What is p(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 91\/2 in decreasing order.\nAnswer: 91\/2, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k - 8. Let m be z(-4). Let d(x) = 2*x**2 - 15*x - 15. Let y be d(m). Let w = 152 - y. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**4\/12 - 25*u**3\/6 + 137*u**2\/2 - 9*u - 10. Let z be h(19). Solve 3*x - z = 4*w, -3 = x + 3*w - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13900541*k**2 - 5*k + 2*k + k + 2*k - 13900572*k**2.\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - y - 3 = -2*y, -4*p = -2*y - 18. Let o be -92*p\/6*-1. Suppose 5*v - o = -4*a, a = -v - 6 + 17. Solve -s + a = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -248 + 248.318. Let j = x - 0.3. Round j to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1134808668 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -46*h**2 + 2*h. Let w(n) = 174*n**2 - 341*n**2 + 170*n**2. Determine w(g(j)).\nAnswer: 6348*j**4 - 552*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2681 is divided by (-1906190)\/(-715) - (-8 + 1)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 y, and 1 i when four letters picked without replacement from {t: 4, i: 2, q: 7, y: 5}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-104)\/(-88) - -2. Which is the second biggest value? (a) v (b) 0.4 (c) -6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6909742 + 80*g - 6909742 - 79*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 14 = 2*a - l, 0 = -3*a + l - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -625009, -625013, -625019, -625027?\nAnswer: -625037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -856*n**3 - 5*n**2 - 36*n - 109. Is u(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 5*d + 5. Let j be l(3). Suppose -6*u = -4*u - 2*b - 152, -3*b = -j*u + 154. Is 71 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7790683ml in litres?\nAnswer: 0.0007790683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-123)\/(-451))*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeaeala. What is prob of sequence laa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-3 + 6\/4). Let z(b) = b**2 - 2. What is z(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, x: 3, h: 2}. Give prob of picking 2 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -210, -206, -200?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 461195224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 41865.12?\nAnswer: -41865.12","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 20 = 20*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 55*j + 134 + 128 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -904 + 912. Let l(v) = -v**3 + 7*v**2 + 9*v + 1. Determine l(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036055964 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t - 3. Let o(c) = 2*c**2 - 2*c. Let a be o(2). Let p be l(a). Suppose u = -4*m + 47, 7*m = 2*m + u + 52. Solve -5*n - p = m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8028 and 21.\nAnswer: 56196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-6)*3\/2. Let h be 42\/m - (0 + -1). Let j(c) = -c**2 - 7*c - 6. Give j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3319 divided by 9572.\nAnswer: 3319\/9572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 48*b + 7. Let x be m(5). Let v = x + -127. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9456133*a + 4759. Let o(v) = -23843*v - 12. What is -4759*o(u) - 12*p(u)?\nAnswer: -4759*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/12 + 35*u**4\/8 + 55*u**3\/3 + 5424*u**2. Factor q(d).\nAnswer: -5*(d - 22)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-110*d - 637*d - 575*d) + 5 - 5 + d.\nAnswer: 1323*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 8*r**3 + 2*r + 2*r**2 + 3*r**4 - 6*r**3 in the form f*r**3 + c + h*r + m*r**4 + o*r**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0485258912 to 5 dps.\nAnswer: -0.04853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**7)\/h)\/h**(-3)*((h**11\/h)\/h)\/(h\/h**(-4)))**33 assuming h is positive.\nAnswer: h**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j**2 + 4*j + 2. Let l be i(-4). Let b(o) = o**3 + 11*o**2 + 23*o - 5. Let m be b(-8). Solve 5*a - 20 = -v, m*a + 2*v - l = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16889\/6 (b) -1\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*o**2 - 392 + 96 + 100 + 97 + 99.\nAnswer: 382*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011222 - -12?\nAnswer: 20012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612481 at most 4837441\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, r: 10, t: 1}. What is prob of picking 1 t and 1 e?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000087092937 rounded to six decimal places?\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23765 is divided by 22945?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(84)\/sqrt(343)) - (3 + sqrt(6)\/sqrt(2) + 0).\nAnswer: -3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1*(-3)\/37). Suppose 0 = -5*p + 5*u + 40, 0*p = 5*p - 4*u - c. Let o be (p\/(-3) - -2)*12. Sort -1, -4, o.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667416 at most 2667422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2239839 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 173056?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169296 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 375 + -375.0474. Let y = -3.9374 - u. Let j = y - 0.11. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, -15 in descending order.\nAnswer: 4, 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100 + 1011011110101?\nAnswer: 1011110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -866499.4000022 + 866502. Let l = 0.44 - -2.16. Let y = p - l. What is y rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -878 - -1287. Is t a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.099 + -0.065\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 9:05 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20268 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(3\/1))\/((2920\/(-80))\/(-73)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 u when four letters picked without replacement from lnmmuunmqu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (-13)\/((-91)\/(-14)). Put -1, 6, h in ascending order.\nAnswer: -1, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-146 - -129 - (-7 - (0 + -4)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691174*h - 691174*h + 75120*h**2.\nAnswer: 75120*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 12. What is the greatest common divisor of 72 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7323 - 7323. Let v be (-2)\/8 - (-9)\/20. What is the closest to -3\/2 in f, 2, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 x, and 1 o when four letters picked without replacement from oxhhhhxfhx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287336648*x**3 - 918996362*x wrt x?\nAnswer: -1724019888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s - 13*s = 16575. What is the highest common factor of 187 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 6. Let j be p(-9). Does 4 divide j*7\/((-63)\/(-165))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12608, 50886, 114682, 203996, 318828, 459178, 625046?\n\"Answer: 12759*h**2 + h - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7788 - -7801. Solve o = -13*t - 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 3. Let p be y(8). Suppose 3*k - q = 7, 2*q - 30 + 0 = -p*k. Suppose k*n - 30 = -2. Solve -2*f + 2*r + n = f, -4*f - 2*r = -14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + -3*(sqrt(42) - sqrt(1050)))\/sqrt(6))**2.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43505 - 43505 - q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**3 + 7*h**2 - h + 2. Let l(x) = 34*x**3 - 36*x**2 + 6*x - 11. Determine 11*f(c) + 2*l(c).\nAnswer: -9*c**3 + 5*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 31*f**2. Let j(p) be the second derivative of p**4\/12 + 87*p. Give j(c(z)).\nAnswer: 961*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 28*s. Let h(z) be the second derivative of -z**5\/30 + 7*z**2 - 18*z + 2. Let q(p) be the first derivative of h(p). What is v(q(t))?\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -391*d**4\/24 + 413*d**3\/6 + 360*d**2. Find the first derivative of u(t) wrt t.\nAnswer: -391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5847\/1556 - -3\/389. Calculate the common denominator of 81\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-2 + 0)\/(-2). Let o = -6223 + 6221. Let z be 5\/4 + 5\/(-20). What is the nearest to o in -0.3, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (12\/(-10))\/((-10)\/50) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -6*b + 2*b - 3*g, 4*g = -4*b + 40. Suppose b*c = 264 + 576. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 3*g - 3*g)*(g - 3 + 3 + (-2*g - 3*g - g)*(12 + 11 + 13) + (2*g - 2*g + 2*g)*(0 - 1 - 2)) to the form v + s*g + j*g**2 and give j.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = v + 3, -19 = 5*v - 2*l - 4. What is the hundreds digit of ((-72)\/(-40))\/(v\/(-1085))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s. Let w(f) = -84*f. What is w(n(t))?\nAnswer: -336*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**4 + 0*v**2 - v**3 + 0*v**2 + v**2 - v + 4*v**4 - 1 as y*v**4 + d*v**3 + z*v**2 + s + r*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 12*p**2 - 3. Let a be q(-3). Calculate the highest common factor of 42 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2 + 7*w - 2 + 5 - 6*w. Suppose o - 5*o = -12. Let h(c) = 3*c + 2. Let r(n) = 4*n + 3. Let j(x) = 5*h(x) - 4*r(x). What is o*j(b) + 4*v(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450666064?\nAnswer: 2, 28166629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:41 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-10))\/((-3)\/(-90)). Suppose -4*a = x - 4*x - 244, 3*a = 9*x + 669. Is x at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 - k + 1. Let l(a) = 20*a**3 + 3*a**2 + 34*a + 2. Let q(f) = -l(f) + 2*p(f). What is the second derivative of q(m) wrt m?\nAnswer: -132*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**5\/40 + z**4\/6 + 7*z**3\/3 + 8*z**2 + 44*z - 135. Let j(t) be the first derivative of q(t). Determine n so that j(n) = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16491927203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26681265 (base 9) to base 2\nAnswer: -110010001101011101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/3*(3931216\/170 - -7).\nAnswer: 3, 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 102*i - 782. Calculate x(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 9*g**2 - g - 4. Is v(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 665 = -5*l, -4*l - 25 = 2*k + 499. Let s = l + 131. Solve -5*h + s = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**6\/360 + m**4\/12 - 9*m**2\/2 + 127*m. Let r(a) be the third derivative of g(a). Let z(o) = -99*o. What is r(z(f))?\nAnswer: -198*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 10 - 2 = 0. Suppose 31 + 3 = d*a. Let c(r) = -r**2 - 5*r + 1. Let b(q) = 1 - 2*q - 4 - 2*q**2 + 16*q + 5*q**2. Calculate a*c(o) + 6*b(o).\nAnswer: o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183*h + 15*h**4 - 183*h)*(-3 + h + 3) + h**5 + 2*h**5 + 0*h**5 + (2*h**4 - 3*h**4 + 4*h**4)*(-6*h + 3*h + 2*h).\nAnswer: 15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77605*i - 77606*i = -3*r + 9, 3 = r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -14078689.\nAnswer: 4\/14078689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -2*x + 726. Let o = x - -370. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 + -207. Let a = -21 - x. Let b be 3 + -3 - 2\/(-8). Put -1\/3, b, a in decreasing order.\nAnswer: b, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115241014 (base 7) in base 12?\nAnswer: -2502401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 5*o + 2. Let f be b(-3). Do f and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 53*s + 54*s - 134.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -15. Let q be (-1)\/3 + 165\/225. Which is the closest to p? (a) q (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from uuuuvvuvuuu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 - 6*g + 9. Let k be t(-7). Suppose 2 = -l + k*l. Let 2\/3*y + 0 + 2\/3*y**l = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2125460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1843 (base 9) to base 10.\nAnswer: -1416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (0 - 8) + (49 - 25).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqz when three letters picked without replacement from qzrrrmzqzz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1475797 + 2399336. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 6 (c) 33619\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6707156 and 5348.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 71 = 3*j + 4, -j = -4*r - 28. Suppose f - j = -2*q - 2*f, 0 = -4*q - 3*f + 36. Suppose -28 = -q*d + 4*d. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31803, 31804, 31805, 31806?\nAnswer: 31807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1664*c**3 + 339*c**3 + 307*c**3 + 342*c**3 + 333*c**3 + 347*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x. Let p be (6\/(-1))\/3 - -2. Suppose p = w - 6 - 1. Calculate the remainder when n(-3) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 392 - 657. Let g = -176 - y. Calculate the common denominator of g\/(-1 + 5 + 2) and -43\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54004, -215796, -485450, -862966?\n\"Answer: -53931*s**2 + s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 11 (c) 155\/6 (d) -6\/53 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140*v**3 + 11*v**2 + 55*v - 2515843.\nAnswer: 420*v**2 + 22*v + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 281*s. Let a(m) = m. Give n(a(q)).\nAnswer: q**2 + 281*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f\/(f\/f**(-1)))))**(-5\/7)*((f*f*f**0*f*f)\/f)**(-28\/5) assuming f is positive.\nAnswer: f**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970013201 is divided by 10039?\nAnswer: 10036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1 - (193 - 177)) + (-6 - 8)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.05, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**15\/l**(2\/19))\/(l**(2\/9)\/l)**(-3\/19) assuming l is positive.\nAnswer: l**(842\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 9, 10, 11, 12, 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220546 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951805 is divided by 2863?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(14)\/sqrt(98).\nAnswer: sqrt(7)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 7 + -4 + -2 + -80 + (-9 - 3)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*v - 393*v + 84 = 0. Suppose 33*q - 39*q + v = 0. Suppose -3 + 23 = -5*n. Put 3, q, n in descending order.\nAnswer: 3, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j + 45. Suppose -3*i = 3*t - 63, -15 = 3*t - 39. Let q(v) = -5*v + 22. Determine i*q(w) - 6*s(w).\nAnswer: w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 33*c**2 + 2*c + 4. Let p(u) = -67*u**2 - 5*u - 10. Let r(a) = -2*p(a) - 5*q(a). Let y(t) be the third derivative of t**5\/60 - 3*t**2. Give y(r(w)).\nAnswer: 961*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 - c - 20. Let g be q(0). Is g\/150 + (-77)\/(-15) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c - 594 = -6*c - 140*c. Let y = -2 - -1. Sort y, 4, c, 2 in descending order.\nAnswer: 4, c, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 730*s**2 - 26645*s.\nAnswer: -5*s*(s + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 880, 3414, 7594, 13420, 20892, 30010?\n\"Answer: 823*o**2 + 65*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -8. Let q = -5 + f. Let g = 25 - 20. Calculate the greatest common divisor of q and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -151120737?\nAnswer: -151120740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*o, 0 = -51*o + 45*o + 3*u + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7402130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (5 + 3) - (1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 930*h**3 + h**2 - 2213*h - 174412225 with respect to h.\nAnswer: 2790*h**2 + 2*h - 2213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 5, 2, 0.06, 0, 2\/23 in decreasing order.\nAnswer: 104, 5, 2, 2\/23, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + -120. Let d = q - -207. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5 - 1780*u**4 - 236380*u**3 - 8220380*u**2 - 30101600*u - 29184368 = 0. Calculate u.\nAnswer: -197, -47, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*j**3 - 12314193*j**2 + 24628385*j**2 - 12314192*j**2.\nAnswer: 2*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + 3.2. Let w = 0.6 - 0.7. What is the closest to w in a, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21537*i = 21498*i - 195 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -5 (c) 147 (d) 0.3 (e) 6 (f) -74\/3 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 + 3*q**2)*(2 - 2 + 4*q + (-4 + 4 - 2*q)*(-2 + 0 + 0) + (-1 - q + 1)*(0 + 1 + 0) + 1 - 1 - 2*q + 0*q + 0*q - 2*q)*(-9 - 6 + 3).\nAnswer: -108*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10) - 8\/32*(-169568)\/560.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/4 (b) -2\/11 (c) -3\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/3 + 5*u**2 - 2. Let k be n(8). Find i such that -36*i**4 - k*i**3 - i**2 + 2*i - 26*i**5 + 5*i**2 + 8*i**5 = 0.\nAnswer: -1, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -5\/2, -2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = i, -3 = -n - i - 4. Let a be 159 - 0\/(-1)*n. Suppose a - 21 = 3*o. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31\/22 in -1.2, -63.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o - 2*o)*(-3*o - 3 + 3)*(6 - 4 + 2)*(30*o**2 - 47*o**2 - 38*o**2).\nAnswer: -660*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1657*y - 322*y - 77*y in the form f*y + n and give f.\nAnswer: -2056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 11*v**2 + 10*v + 18. Suppose 7*c - 25 = 45. What is the remainder when 85 is divided by z(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 - (-128 + -2711)\/(-17).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kss when three letters picked without replacement from kss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6691020*p**2 - 21053619 wrt p.\nAnswer: -13382040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -130 + (-4 + 1 - (-16 + 8)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 25*d + 3. Let t(x) = 95 + 2*x**2 - 46 - 50 + 12*x - 4*x**2 + 3*x**2. Calculate 2*f(c) + 5*t(c).\nAnswer: c**2 + 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:47 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2911 and -5.\nAnswer: 14555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oopo when four letters picked without replacement from poooopooooooooooooo?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*sqrt(1872)*3.\nAnswer: -288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 451306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 - 1) - ((89 - 76) + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18917504369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -461 + 572. Suppose -622 = -4*k + 5*n, -4*k + 604 = -c*n + 115*n. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6371819.\nAnswer: -6371815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Suppose -7*f + 2*f + 5*u - 10 = g, -5*u = 5*f - 40. Suppose 0 = -p - 2*i, -35*p - 11 = -31*p - 3*i. Is p > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**2 + 39*x - 42 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 3509 - 1493 = 0. Let m = k - 334\/3. Find f such that 2*f**2 + 0 - 4\/3*f - m*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - 1)*(3 + 0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**4 - 1\/15*b**6 + 0*b - 7*b**2 + 0 - 1\/15*b**5 + 0*b**3. What is the third derivative of x(c) wrt c?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 6519?\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 4 - -7 - (-2 - -1). Solve -4*u + l = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 19 (b) -1\/7 (c) -3 (d) 1\/5 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231423 is divided by 798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6096587 from 0.04.\nAnswer: 6096587.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, v: 2, t: 2, d: 11}. What is prob of sequence vddt?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/47 + (-41)\/(1330\/(-20) + 46)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 2:05 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1923645\/7 or 0.157?\nAnswer: -1923645\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**4\/6 + 10589*t**3\/6 + 2*t**2 + 49*t. Is j(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f + 226. Let r = 270 - f. What are the prime factors of r?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21616628 and 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 837 divided by -27?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-24) - (19\/2 - -1). Let a(k) = k**3 + 11*k**2 + 11*k + 13. Let p be a(s). Let v be (-33)\/22*(-8)\/p. Solve v + 2 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-4))\/(15\/318). Let f = x - 95. Suppose -f*h**3 + 4\/5*h**2 - 2\/5*h + 0 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**2 - 38*l + 13. Let q be s(-9). Suppose -u = 4*k - q, -5*u - 2582 = -4*k - 7264. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 7, 4, 3\/8, -7723?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190.6 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586713432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, 31, 1 in increasing order.\nAnswer: 1, 5, 27, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-5 - -1))*23. Suppose -o = a - c, -4*a + 66 + 88 = -2*o. Let m = a - 28. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/z**26*z*z))\/z)*z\/(z**(7\/3)\/z))**(-6\/13) assuming z is positive.\nAnswer: z**(134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:38 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184056013 is divided by 2145?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -25*p - 338. Give g(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24734080?\nAnswer: 2, 5, 7, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*4\/8)\/((-2)\/14). Suppose 4*u - 8*u + 16 = 0. Let a(h) = -2*h**2 - 16*h - 9. Let t be a(-7). Solve -t = -u*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 33*f**2 + 13*f - 27. Let u be x(-23). Suppose -5083 = -5*c - 3*y - 122, -5*c + u = 2*y. Suppose 3*t = c - 187. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -61\/9. Suppose n = h - 4, n - 2*h + 0 + 4 = 0. Let s(t) = -t**3 - 5*t**2 - 5*t - 4. Let w be s(n). Put 0.1, w, g in descending order.\nAnswer: g, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 39525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 859*y**2 + 859*y**2 + 5*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, b: 7}. Give prob of picking 2 b.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63968.66 rounded to the nearest one hundred?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311286 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8548892, 17097787, 25646690, 34195607, 42744544, 51293507, 59842502?\n\"Answer: u**3 - 2*u**2 + 8548894*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/120 + x**5\/5 - 11*x**4\/24 + 5*x**3\/6 + 3*x**2. Let b be c(11). What is the smallest value in 0.4, -1\/9, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1842195 - -1163395. Round b to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45307 - -77545. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2956?\nAnswer: 11824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/5, -49\/58, 0.13, -4 in increasing order.\nAnswer: -4, -49\/58, -2\/5, 0.13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*b - 2*j - 8, 4*b - 2*j - 14 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 76890*b**3 - 739047456*b**2 + 738970568*b.\nAnswer: -2*b*(b - 19222)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-888)\/(-50112) - (0 - 3\/(-24))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-9\/5)))\/s)\/s*s*s**(-3\/5)*s)\/(s**(-2\/21)\/(s*(((s*s**18*s*s)\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(2131\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -4693, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-34)*u))\/u)\/(u**(6\/11)*u))\/(u*u**8)**(-1\/6))**(-34\/5) assuming u is positive.\nAnswer: u**(-2465\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2736)*-2 - (2 + -1*sqrt(171))**2.\nAnswer: -170 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*i - 30*i + 65*i + 71*i.\nAnswer: 175*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94.434 and -15.\nAnswer: -1416.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -513*m**2 - 9*m*o - 2*m + 50763*o wrt m.\nAnswer: -1026*m - 9*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/5 - 46*x**4\/5 + 578*x**3\/5 - 98*x**2\/5 - 1008*x + 4608\/5 = 0. Calculate x.\nAnswer: -32, -3, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 0)*(1 + 1 - 4)*(-1 + 8 + 7)*(0*o**4 + 5*o - 38*o**4 - 4*o) in the form x*o**3 + t*o**2 + s*o**4 + r + j*o and give j.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -2db0?\nAnswer: -2dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224431211 (base 5) to base 7.\nAnswer: 11423614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -188. Calculate the remainder when z is divided by 14 + (12 - 9\/1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 5*r**2 - 421*r**3 + 0*r**2 + 12 + 5*r**2 + 419*r**3. Suppose 0*k = 2*k + 2*t, -5 = t. Let w be z(k). Solve -w*g = -5 - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + u**2 + 5*u**2 - 4*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 6270?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 6 = 2*s - 3, 0 = -3*s - 5*w + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 11*v**2 + 9*v - 2. Let n(w) = w**2 - 15*w - 22. Let f be n(17). Let y be q(f). Let k = -174 + y. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 651, -3.\nAnswer: -3, -1, 3, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 9. Let x(s) = -s**2 - 5*s - 4. Let o be x(i). Suppose -c - o*y - 3*y + 71 = 0, -c + 71 = -y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15811\/1630*100*(-1)\/(-10)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 - 144. Suppose v = -x + l + 186, -2*x = v - 407. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(19\/5)\/(w\/(w*((w*w**34)\/w)\/w))*(w**(1\/4))**38 assuming w is positive.\nAnswer: w**(463\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c**2 - 165*c + 30. Let d be p(19). Suppose 0 = -2*w - 3*w + 80. Calculate the highest common divisor of d and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 2*u. Let l(x) = 11*x**3 + 21*x**2 - 20*x - 12. Let h(f) = 3*l(f) + 6*s(f). Factor h(k).\nAnswer: 3*(k - 1)*(k + 2)*(11*k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -386, -1514, -3384, -5996?\n\"Answer: -371*r**2 - 15*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d. Let m(l) = -75*l - 33422. Calculate k(m(b)).\nAnswer: -525*b - 233954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 7 + 5)*(0*z + 4*z - 3*z) - 2*z - 2*z + 3*z + (-3*z - 4*z + 5*z)*(0 - 5 + 3) + 2 - 2 + 2*z as i*z + f and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*p**2*v**3 + 4*m*p**2*v - 15*m*p**2 - m*p*v**3 - 741*m*v**3 + 20*p**2*v + 3*p*v**3 wrt p?\nAnswer: 2*m*v**3 + 8*m*v - 30*m + 40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426082 is divided by 305?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 1 - 2*w**2 - 1 + 3*w)*(-2 + 5 - 1).\nAnswer: -4*w**2 - 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -380, -404, -450, -524, -632, -780, -974, -1220?\n\"Answer: -v**3 - 5*v**2 - 2*v - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 66. Let n be a(-12). Let h = 87 - n. What is the third derivative of -h*y**2 - 32*y**2 + 16*y**2 + 16*y**4 wrt y?\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720))*1 - (-1 + sqrt(720) + 2 + sqrt(720)) - (sqrt(720) - 2*sqrt(720))*-1*2)**2 + -1 + 3.\nAnswer: 72*sqrt(5) + 6483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872454?\nAnswer: 2, 3, 11, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8991 = 12*g + 2523. Suppose 2*d - 1189 - g = 0. Does 34 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -429.\nAnswer: -1\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -97*c**3\/6 + 4*c**2 + 4*c. Let h be t(-10). Suppose 1186 = 4*n - h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -5148\nAnswer: 2\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 36634.\nAnswer: 10990.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4512 and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620160 by -255.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(14\/5)*i**(-1\/5)*i*i\/(i*i\/((i*i\/(i*i*(i\/(i*i**(7\/6))*i)\/i*i*i))\/i))*i*i*i\/(i**(-30)*i)*i assuming i is positive.\nAnswer: i**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 2. Let y be 650\/15 + a\/3. Suppose 4*d - 3*d - 3*t = y, 3*d - t - 100 = 0. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2 + 93*u + 13. Let r(i) = 9*i**2 - 91*i - 16. Give -3*r(h) - 4*t(h).\nAnswer: h**2 - 99*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035306 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/4*(-3 + -7). Suppose -5*b + k - 98 = 0, -2*b + 4*k - u = -3. What is b rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26203 - -26203.2. Which is the second biggest value? (a) 3 (b) -1 (c) -1\/12 (d) -4 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v**2 + 1\/18*v**4 + 1\/30*v**5 + 0*v**3 + 6 + 7*v. Let l(i) be the first derivative of f(i). Solve l(w) = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 0*m = 4*m + 24, -m - 5 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3063\/(-9) + 1 + (-8)\/12. Is 4 - (3 + 8) - c a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(2))\/sqrt(4) + 0.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 54 + (18 - 0) - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -r + 4*f, -9*f = 3*r - 6*f - 12. Let j(h) = 4*h**2 + h. Let y be j(1). Suppose -b - r = -w - 0*w, y*w - 33 = -2*b. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 9. Let j be o(-7). Solve -r + 4*r + j*g + 12 = 0, 16 = -4*r - 4*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37172960 to the nearest integer?\nAnswer: 6097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.989 - 0?\nAnswer: -43.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 119 = 308. Suppose p = -p + 90. Let r = i - p. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/90 and -97\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 68 = -0*p - 4*p, 2*m = 3*p - 49. Suppose p = 5*y - 5. Let o(l) = 4*l + 2*l**3 - 8 - 6*l**3 + 4*l**2 + 3*l**3 + 4. What is o(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*(-10)\/60?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l**2 + 17*l + 23. What is j(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnqqxsnxd. What is prob of sequence sd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, o: 2, n: 1, l: 5, h: 2, f: 2}. What is prob of picking 2 r?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 344017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = 15. Calculate the common denominator of (-73)\/j*(-9)\/6 and 53\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-2)*784\/(-280)*(-125)\/75?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89123453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 2*g - 4, -4*g = 2*o + 2. Suppose -80 = -g*k - 4*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33329 - 22567. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/15 (b) -5\/17409 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559 - 1685 = -18*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 25*g - 32. Suppose -17*r = -62 + 283. Does 6 divide k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216720816*d**3 - 2206*d**2 + 34780*d wrt d?\nAnswer: 1300324896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 30 = -0*g - 2*g, 5*y = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51.3 + -51. Let j = 1342 + -1451.9. Let k = -110 - j. Which is the closest to k? (a) s (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - 4*r - 2. Let o(d) = -7*d**2 - 7*d - 3. Let k(c) = c**3 - 4*c**2 + 3*c - 4. Let y be k(3). Give y*o(u) + 7*l(u).\nAnswer: 7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1509 + -173533\/115. Is 0 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-3)\/60)\/((-66)\/(-1056))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 27*d**2 + 141*d + 30 = 0.\nAnswer: -5, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 43 = 5*t - 57, 2*a + 29*t = 26*t + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*g - 4*g - g)*(1 + 2 - 1) + 4 - 4 + 2*g + 4*g + 0*g - 2*g)*(-1393 + 1393 + 147*g**2).\nAnswer: 882*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -92*b**3 - 7*b**2 - 1260*b - 4. Let h(m) = 185*m**3 + 16*m**2 + 2520*m + 9. Let p(r) = 4*h(r) + 9*u(r). What is the second derivative of p(a) wrt a?\nAnswer: -528*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5751 * -2.\nAnswer: 11502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -783242269 take away -0.5?\nAnswer: -783242268.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 120. Solve 3*x - 4 = -4*v - q, 12 = -3*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 4*k**2 - 2*k - 5. Let j be (8\/5)\/((-2)\/5). Give y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.8 (b) 3 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)*-4 + 12315\/(-821).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21251545 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40870035 to the power of 1\/2, to the nearest integer?\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22.4 (b) -0.003 (c) -5 (d) -9 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5715077747.\nAnswer: 151, 37848197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 2 + 4 - 37*s.\nAnswer: -37*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**3 + 2*f - 2. Let r(j) = 3*j**3 + j - 1. Let z(d) = -d**3 - 13*d**2 + 29*d - 17. Let n be z(-15). Calculate n*w(p) + 5*r(p).\nAnswer: p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c**3 + 53*c**2 + 14*c - 6. Let w(r) = -11*r**3 - 35*r**2 - 10*r + 4. What is 5*t(g) + 7*w(g)?\nAnswer: 3*g**3 + 20*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4478, -4496, -4526, -4568, -4622?\n\"Answer: -6*q**2 - 4472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3257*y - 1897*y = -53040 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-15)\/(-20))\/((-6)\/16). Suppose 0 = -2*u - 4*c + 6*c - 2, 4*c - 12 = -t*u. Solve -h = -u - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/(-4) - (-2)\/8. Find the common denominator of -23\/5 and 19*v\/12 - -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79635, 159388, 239267, 319272, 399403?\nAnswer: 479660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/29)\/(k*k**(1\/6)))**(1\/4))**(-30))**(3\/17) assuming k is positive.\nAnswer: k**(2865\/1972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/62304 and 31\/377718?\nAnswer: 6043488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 21 + -12 - -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - o - 7360, 3*z + 5*o - 1686 - 20402 = 0. List the prime factors of z.\nAnswer: 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.8 from -142424.\nAnswer: -142422.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*q - 12, 2*q + 2*l - l = 0. Suppose -4*m = 2 - 10. Let v(t) = t**2 - 3*t**m - t + 3*t**2. Calculate v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 106?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.1842 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 123*m**2 - 6*m + 39. Differentiate s(h) with respect to h.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/21)\/((133\/147)\/(-19))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 47*t**2 + 81*t + 167. Calculate the remainder when j(23) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530438715.\nAnswer: 3, 5, 11787527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7715 (base 8) to base 9.\nAnswer: 5484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 219 - 177. Let z = n + -59. Suppose z*g - 6*g = 34. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 bigger than -4.51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 - 3*s + 2. Suppose 2*d - v = -0*v - 15, 4*d - 4*v = -40. Let a be o(d). Let y = a + -15. Solve -q + z = -2*q - 2, -y*q = z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y + y)*(-12016*y**3 + 12017*y**3 - 2 + 7*y**4 + y**4 + (-2*y**3 - 5*y + 5*y)*(3*y - 2*y + y)).\nAnswer: 8*y**5 + 2*y**4 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 9:53 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 254?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10666 - -10670. What is the smallest value in z, -7, -23, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210699 or 210730?\nAnswer: 210699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95.332 - -95.33259467. What is k rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = m + 4*s, -2*s - 1328 = 3*m - 8*m. Let b be 6\/(-9) - (-5594)\/21. Let a = b - m. Which is smaller: -1\/3 or a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 107 = -3*a, -9 + 2 = -h + 3*a. Suppose 11*b - 196 = 7*b. What is the remainder when b is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, a: 2, i: 2, q: 8, y: 2}. Give prob of sequence yiaa.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 5, 2 in descending order.\nAnswer: 5, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**2 - 281840*u - 281836 = 0.\nAnswer: -70459, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 21 = -17*b + 13*b, 3*b = -5*w + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12))\/(84\/(-441)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(20\/3))\/(12\/(-256)). Solve 25 = 5*m + 3*d, 2*m - 28 - j = -8*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5666506940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*a + g + 65 = 0, 3*a - 2*g = 64. Let b = 27 - a. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15129, -15131, -15133, -15135, -15137, -15139?\n\"Answer: -2*t - 15127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 4*c + 8, 66*c - 62*c - 30 = 23*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + k - 5 = 0, 0*k - 4*k - 7 = -m. Let p(l) = l - 2 - 6*l + 8 - 33 - 5*l. Does 9 divide p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11300480 divided by -80?\nAnswer: -141256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 + 52*l**4 + 206*l**3 - 180*l**2 - 81*l.\nAnswer: l*(l - 1)*(l + 9)**2*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -112*c. Let k(q) be the third derivative of q**4\/8 - q**3\/3 + q**2 - 1026*q + 2. Calculate k(b(p)).\nAnswer: -336*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 21.\nAnswer: -4, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.24 + -0.04. Put 4, w, -2\/7 in decreasing order.\nAnswer: 4, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k - 277. Let w be u(-37). Let x(s) = 5*s**2 + 26*s + 52. What is the tens digit of x(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2457273 >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73809, -73812, -73815?\nAnswer: -73818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Let v(i) = -i**3 + 3*i**2 - 4*i + 3. Let l be v(2). Which is the biggest value? (a) u (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/a)\/((((a*a**(-3\/5)\/a)\/a)\/a)\/a*a*a)*(a\/a**(1\/10))\/(((a*a\/(a\/((a\/(a\/(a\/(a\/(a\/(a**(-1\/9)\/a))))))\/a))*a*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20084 is divided by 207.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 9*q**2 + q + 9. Let d be w(8). Let a be 1\/(5 + d\/290). Is a < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4191+2\nAnswer: 4193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-20 - -8) + (-1 - -5) - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -585 * 1.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95356 = -9*n - 95158 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1\/4 (c) 2\/7 (d) 8\/93 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + 7.14. Let v = m - 2. Which is the biggest value? (a) -0.5 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 5:09 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 b when three letters picked without replacement from {t: 6, b: 1, e: 11, x: 1}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 9:43 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + (2 + -2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 13*g**2 - 466*g + 18. What is h(-29)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1533 and -47.\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000438 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**2 + 3*r - 6. Let x(c) = -c**2 + c - 1. Let g(t) = h(t) - 12*x(t). Factor g(y).\nAnswer: 3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*o - 2*o - 3*f, -5*o + 28 = -f. Suppose 4*j - 7 + 2 = m, 0 = -o*m + 15. Solve -4*c - 26 = 2*d, d + j = 2*c - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3, -4*p + 2*d = -8*p - 1258. Let v = -316 - p. Factor 0*a**2 + v + 1\/3*a**3 - 1\/3*a.\nAnswer: a*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1722 + -1728. Let q be ((-3)\/6)\/((-2)\/(-24)). Are q and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + 3.481. Let l = v - -9.119. Which is the fourth biggest value? (a) l (b) -2\/15 (c) 1\/5 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -702*q + 2205. What are the prime factors of p(-78)?\nAnswer: 3, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/25*(-24)\/(-9))\/((-35)\/(-15400)*-11)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 24 = -5*a, -3*a + 11 = -d. Suppose -4*y = a - 24. Suppose -5*c + 420 = y*g, 5*g + 114 = -0*c + c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 60452258*q**2 - 456809588292928*q - 2284046430158440.\nAnswer: -2*(q + 5)*(q + 15113062)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11337504 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, c: 9, r: 2}. Give prob of sequence rrc.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -70188048.1 rounded to the nearest 1000000?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 1. Let m be j(1). Let g be 4 - (-5 + m + -2). Sort g, -3, -7, -1.\nAnswer: -7, -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15767*o + 3*u - 70 = -15765*o, o + 15*u + 68 = 0 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40453 or -40451?\nAnswer: -40453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-40)\/(-36)*(54\/45)\/2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3205 + 1478. Let y = 2514 + w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/720 - 5*i**4\/12 - 5*i. Let k(b) be the third derivative of v(b). Let r(t) = t**2 + 4859*t - 4859*t. What is k(r(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**3 - 11*r**2 - 6*r + 13. Let m(t) = 3*t**3 + 4*t**2 + 2*t - 4. Determine -11*m(j) - 4*v(j).\nAnswer: -j**3 + 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3960.318061 + 3960.3. Round o to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*n**3 + 625*n**3 - 253*n**3.\nAnswer: -70*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 + -313. What is the second smallest value in 4\/3, 2, u?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 1, i: 1, w: 1, u: 4}. Give prob of sequence oowd.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let p be (-2 - -4)*3 + q. What is the third derivative of 2*b**4 + p*b**2 - 2*b**2 + 3*b**3 - 3*b**3 wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(6*n - 2 + 2) + (14 - 21 + 9)*(-4 + 2 + 1)*(-4*n + 3*n - 3*n) + 2*n - 2*n + 2*n to the form o*n + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 3, -314, 5 in ascending order.\nAnswer: -314, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 31*z**2 - 27*z - 85. Let i be k(30). Suppose 4*h + 0*c - 27463 = -c, 0 = -i*h - c + 34329. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/12)\/((-3)\/8). Let f be -2*q\/4 - -2. Let a be (9\/24)\/(9\/4). Is a < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 17 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -58. Sort -8, 2, v in ascending order.\nAnswer: -8, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1, -1 in ascending order.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -653, -2605, -5861, -10421, -16285, -23453, -31925?\n\"Answer: -652*h**2 + 4*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 > -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 - 2. Let l(v) = -122*v**3 + 366*v**2 - 732. Calculate l(w) - 366*x(w).\nAnswer: 244*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. What is the tens digit of 12*(-2 + u + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1339995 - ((-3 - -1) + 7). Round g to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 divided by 139?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 + -0.04. Which is the second smallest value? (a) -1 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1009493259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 5*m + 49. Give y(-14).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 - 11*b - 12. Determine l(6).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*l - 1 + 1)*(-6*l - 9*l + 4*l)*(51 - 15*l - 51).\nAnswer: 6105*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 not equal to 5218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = 3*f + 10, -5*i = 2*f. What is the smallest common multiple of 11 and i + -2 + 6 + -1?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-5)*5\/(-20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (141*g - 1 - 134*g - 6)*(-1 + g + 1) to x*g + i + v*g**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*m + 4830, 2*f = -5*m + 12762 - 3058. What are the prime factors of f?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67872720*w**3 + 28455522.\nAnswer: 203618160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -830 divided by 830\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 3*h + 7. Let r be o(-5). Let f be (1\/r)\/(1 - 0). Let m = 5 + -4.5. What is the closest to 1 in f, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21059 + 21105. Solve -5*v + 45 = 38*a - i*a, -2*v - 2*a = 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005348 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2\/37 (c) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**4 + q**2 + 5*q + 1. Let u(d) = 68*d**4 + d**3 - 6*d**2 - 2392*d - 6. Let i(h) = 6*l(h) + u(h). Find the second derivative of i(j) wrt j.\nAnswer: 744*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6 + 3*v**3 - 4*v**3 - 3 + 4*v**2 + 4*v - v**2. Let z be u(4). Solve -z*o = 2*g + 13, -5*o - 7*g + 2*g - 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9027, 8328, 7649, 6990, 6351?\nAnswer: 5732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 10*d + 2. Let o be a(10). Suppose 0 = -o*n + 3 + 5. Suppose i = -3*p - i - 5, 0 = -n*i - 16. Solve p = x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*f = -1, -36 = 5*f - 61. Sort 5, 4, b, 0, 1 in descending order.\nAnswer: 5, 4, b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1788 and 109\/282.\nAnswer: 84036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 70\/10 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z - 58*z + 12*z - 14*z to t + i*z and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003803647 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**3\/b*b)\/b)))\/(b\/(b\/b**(-6)*b))*(b**(-1\/2)\/b*b)**43 assuming b is positive.\nAnswer: b**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2 - 57\/9)*(27 + (54 - 75))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*o + 40, 6*m + 4*o + 10 = 7*m. Solve -m = -5*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -214, -1039, -3118, -7087, -13582?\n\"Answer: -106*k**3 + 9*k**2 - 110*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 2. Does 16 divide v + 4 + (-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(180)*-6 - 2*sqrt(320))**2 + (sqrt(500) + 4*sqrt(500))**2*5.\nAnswer: 75505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -160, 161, 482?\n\"Answer: 321*a - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(9\/5)\/(y**0\/(y**(-2\/7)*y*y)))**(-2\/105) assuming y is positive.\nAnswer: y**(-82\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 85*q - 11. Is u(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -12, 4\/33, 3\/13?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2101111200020 (base 3) to base 4\nAnswer: -10311332301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*b - 12, -3*p + 416 - 407 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 368 = 3*g. Suppose -2*l + v + 2*v = -16, 3*l = 4*v + g. Suppose l*x + 5*x = 2*x. Solve x*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110 and 0.1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 126.9?\nAnswer: -12.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22131132311 (base 4) to base 2.\nAnswer: -1010011101011110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + d**2 - d**2 + (3*d + d + 4*d + (1 + 5 - 4)*(75*d + 34*d - 18*d))*(4*d - 5*d + 4*d).\nAnswer: 568*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**5 + 2*k**5 + 2*k**5 + 5733*k**3 - 137*k**5 - 5733*k**3 + (-4 + 0 + 2)*(-4*k**5 + 5*k**5 + k**5) + 2*k**5 - 2*k**5 + 5*k**5.\nAnswer: -138*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.54, 85, 0.12 in ascending order.\nAnswer: 0.12, 0.54, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -13 - -9 - 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*h + 175*h + 5*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/357)\/((-8)\/(-56)). Let d = -0.1 - -0.2. Which is the closest to d? (a) -0.1 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2076*n*w**4 - 48*n*w**2 + 46033*n + 51*w**4 wrt w.\nAnswer: 49824*n*w + 1224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 89*g + 455. Calculate a(-85).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000111001100110 + -10?\nAnswer: -1100000111001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*c + 14 + 17, 26 = 4*c - 2*w. Let z be -29 - (c + -3 - -3). Let u = -29 - z. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*j**3 - 26*i*j + 109356*j**3 - 429*j**2 wrt j?\nAnswer: 6*i + 656136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 - 13*v**4 + 4*v**4 + 3*v**4 + 0*v**4 - 2*v**4 + v**4 + 2*v**4 - 2*v**4 - 3*v**4 + 2*v**4 - v**4 + (3*v**2 - 2*v**2 - 2*v**2)*(v**2 - 3*v + 3*v).\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 562*i - 565*i - 5 = 0, -5*i = -j - 15 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1724208 - 515792. What is z rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoi when three letters picked without replacement from uoi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*m - 0*m. Let a(w) = -3*w - 1. Let r(g) = -12*g - 22. Let y(b) = -4*b - 7. Let n(f) = -6*r(f) + 19*y(f). Determine m*a(z) + 2*n(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 1. Suppose 2*q - 17 = -11. Give y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552027?\nAnswer: 3, 7, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12917205 divided by -21.\nAnswer: 615105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011545659 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 6*f**2 + 2*f - 3. Let v be k(3). Factor o**3 - 15*o**5 + 6*o**4 + 2*o**v + 18*o**5.\nAnswer: 3*o**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 496, 983, 1470, 1957, 2444, 2931?\n\"Answer: 487*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (((-104)\/65)\/(4\/16))\/((-10)\/25).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1329, 5, 0, 3, 1, -6 in increasing order.\nAnswer: -6, 0, 1, 3, 5, 1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 7*r**2\/2 - 30*r - 660. Let o(k) be the first derivative of -k**3\/3 + 26. Calculate c(o(t)).\nAnswer: -7*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -6, -14, -34, -72, -134, -226?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 6*x**2 - 8*x + 23. Let t be b(5). Solve -5*l + 8 = 3*m, 5*m - t*l = -3*l - 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 8*r - 9 + 4*r**2 - 3*r**2 - r**2. Let f be u(-6). What is the first derivative of 6 - t**3 - t**f + 5 - t**3 wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 47540624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 2*f - t, 0 = -5*t - 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:32 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:23 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25709)\/705 + 37)\/1?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2)*z\/((z\/(z*z**23))\/z*z))**37 assuming z is positive.\nAnswer: z**999","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 - 70375574893?\nAnswer: -70375574893.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 896369 times 3?\nAnswer: 2689107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1539) + 2 + -5 + 0 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539)*-3 + -3))) + -1)*4)**2.\nAnswer: 1152*sqrt(19) + 98560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 79334197 = 3*u + 22334209, -3*u - 2*b + 57000008 = 0. Round u to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11456.7 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 18. Let s be 2\/(-8) + (-10)\/(-8). Let b be (s*(-3 - -2))\/(-1). Calculate the greatest common factor of b and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66625588669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*j + 4*o + 101, 3*j = -2*o + 65. Suppose k - k - 12 + 9*k**2 + j*k**3 - 24*k**3 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 267*h - 271*h - 53, 4*h - 2*n + 13 = 3*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c + 9. Suppose 0 = -0*f + 5*f - 80. Suppose u = -0*u + 5*q + 20, 4*q = 4*u - f. Let d(y) = y. Let s be d(u). Give v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*a**2*v**2 + 2*a*v**2 - a*v + 91*a wrt a?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110.7 + -111.701. Let j = -0.001 - r. Which is the closest to j? (a) 5 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1350003*a + 18. Let r(l) = l**3 + 13*l**2 + 14*l + 18. Let o be r(-12). Let m be c(o). What is m rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 21 - 29. Solve 0 = 2*q + 2*j - 4, -j - 2 = -y*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*k + 3*a + 10, k - 3*a - 10 = 0. What is the third smallest value in 0.2, 4, k, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1 - 44*o**2 - 20*o**2 + 63*o**2. Let r(t) = -t**2 - 3*t - 2. Let p be r(-2). Let k(h) = -4 - 1 + p + 1. Calculate k(f) - 2*n(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14423 (base 6) to base 4.\nAnswer: 210033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125356.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/2)\/2)\/(131\/1572)*(-6)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1082856584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059409955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:51 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -719*f**2 - 181*f - 53. Is m(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * 20867\nAnswer: -29213.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = -35*p - 704 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -l - 2*l. Let d(q) = -3*q + 11. Let x be d(7). Let c(k) = k**2 + 14*k + 42. Let r be c(x). Solve 0 = -2*o + 5*m - r - l, -2*m = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 15*c**3 + 5*c**2 - 6*c + 3. Let s = 122 - 120. What is the units digit of w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 478.9828 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -318?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 6 - 2)*(-2*h**3 - h**2 + h**2) + 2*h**3 - h**3 - 4*h**3)*(0*h**2 + 3*h**2 - 5*h**2).\nAnswer: -26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*w = -89*w + 114770. Calculate the highest common factor of w and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*c + 2 + 884*c + 376*c - 124*c + 921*c.\nAnswer: 1890*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004238834 to five decimal places.\nAnswer: -0.00424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13565*n + 2298*n + 11965*n - 3937*n.\nAnswer: 23891*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2844137085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 981f (base 16) to base 2\nAnswer: 1001100000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512180.\nAnswer: 2, 5, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v + 6. Let u(k) = 28*k - 35. Let y(t) = -3*t**2 + 42*t + 6. Let r be y(14). Let z(a) = r*u(a) + 35*s(a). Let o(c) = -4*c. Calculate z(o(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1900) + sqrt(95)\/sqrt(5)*2 + 3.\nAnswer: 3 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 4\/11, -9, -3\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -49754*x - 746309. Calculate v(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*x + 92*x + 288*x + 364*x + 303*x to the form i*x + r and give i.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (61\/(-2) - 1)*-142. Let a = i - 49240\/11. What is the common denominator of a and 27\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*w - 5*w. Let x(n) be the second derivative of w*n**2 - n + 0 + 1\/3*n**3 - 1\/6*n**4. Factor x(d).\nAnswer: -2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:14 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -2\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 48, 33, -4, -63?\n\"Answer: -11*p**2 + 40*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 1. Let f be x(-5). Determine b, given that f*b - 20*b**2 - b**5 - 24*b**4 + 74*b**4 + 5*b**3 + 4*b**5 + 18*b**5 = 0.\nAnswer: -2, -1, 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -767, -1553, -2377, -3251, -4187, -5197, -6293?\n\"Answer: -2*g**3 - 7*g**2 - 751*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -15*x**2 - 42*x. Let z(o) = -o**2 + 7*o - 1. Let d(k) = u(k) + 6*z(k). Let h(i) = -2*i. Calculate d(h(n)).\nAnswer: -84*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 733287356 to the power of 1\/2, to the nearest integer?\nAnswer: 27079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 + p. Let h(x) = 5*x**3 + 3*x**2 - 4*x - 5. Let q(g) = -4*f(g) - h(g). Let y(r) = -r - 4. Let d be y(-4). Determine q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 7*c - 4. Suppose 56 = -4*k + 12. Let t = -17 - k. Calculate i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - 1958\/(-165) - 10\/(-75). Let g(l) = -27*l - 1. Let j be g(-1). Find the third derivative of j*p**2 - c*p**2 - p**6 + p**6 + p**6 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 14 - 14 + 2*v + 2*v - 3*v + 0*v + 4*v - 2*v + (3 + 1 - 2)*(-4*v + 0*v + 5*v))*(v - 2*v - 3*v) in the form s + x*v + c*v**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofvffuvooo. What is prob of sequence vfo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0549773*-2\nAnswer: 0.1099546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -44. Calculate the remainder when w is divided by (0 - -1)*(4 - -43).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -10, -14, 0.3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/65 + (-182)\/(-10). Suppose 4*h = -2 + x. Calculate the lowest common multiple of h and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (11 + -5)) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 88 = -h, 100 = o + 3*o - 2*h. Find the third derivative of 6*t**6 + 15*t**6 - 36*t**6 + o*t**2 wrt t.\nAnswer: -1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*v - 1633 + 790 = 2589 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1298296, 1298232, 1298166, 1298098?\nAnswer: 1298028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/154)\/(((-36)\/(-1932))\/((-81)\/(-1242)))?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 20 = w - 4*d, 4*w - 3317*d = -3313*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3*g - 228, -5*h + 4*g = -0*h - 380. What is the derivative of 192 - 260 - 24*w - h*w wrt w?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/94297?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2.53168.\nAnswer: -0.506336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (177\/(-1062))\/(10\/9)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.542 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w - 1460 = 211*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 406575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7975 - 3985 - 3990 - 277*t**2 to x + i*t + g*t**2 and give g.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjjjqjjqqq. Give prob of picking 1 d, 2 q, and 1 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 138 + (-92 - (-67 - -66))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -4\/3 (c) 5 (d) -26 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4531663?\nAnswer: 4531663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19227?\nAnswer: 3, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f, 137 = u + 4*f + 19. Suppose -10 = 5*k, m - 2*k = 2*k + u. Let h be (1\/(-4))\/(m\/(-80)). Put -3, -5, h in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (4 + 1 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 55 = 2*i + 38, -4*i + 3*o + 19 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3357 divided by -3\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 304902762 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -443.05 - -0.05. Let j = -443.1 - z. Let i = -5 + 4. What is the nearest to j in 0.5, 2, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2626.506 rounded to the nearest ten?\nAnswer: -2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 11. Let r be k(12). Solve 2*p = p - r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - -83) + (-26 - -36)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3 + 3)*((3 + 5 - 4)*(5 + 3 - 18) + 5 + 4 - 4).\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/136 and -47\/2073751?\nAnswer: 282030136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/99*(80\/(-5))\/(-16)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2\/27, 1\/2, -1.4 in increasing order.\nAnswer: -5, -1.4, 2\/27, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-109 + 23)*38\/4. Does 39 divide b\/(-2) - (-5 + (-39)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 20*b + 16. What is the remainder when 93 is divided by x(20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6. Let p(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/6 + 14*y. What is p(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + -29 + 31 - -45) + 20?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 571725 and 770770.\nAnswer: 104053950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3 - 2*-1). Suppose -7*f + 9*f + 2 = 0. Put f, p, -4 in ascending order.\nAnswer: -4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 3\/2, -1\/2, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 2*g + g)*(98*g**3 + 137*g**3 - 129*g**3) in the form o*g**3 + s*g + y*g**4 + c + p*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 - 6*f + 3. Let j be u(4). Let d(y) = y**2 + 5*y + 6. Let x be d(-4). Suppose -1 = -x*s + j. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 9*a**2 - a + 5. Let h(k) = 3*k**3 - 10*k**2 - k + 5. Suppose 2*g = -b + 6*g - 4, 2*g - 8 = 2*b. Let n(s) = b*m(s) + 3*h(s). Calculate n(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 - 9*l + 24. Let t be u(4). Let b be (-3)\/(-2) + (t\/(-11) - -11). Sort 4, b, -4\/3.\nAnswer: -4\/3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 3, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(1 + 52 + 3)*(-5*r**4 + 9*r**4 + 5*r**4).\nAnswer: 1008*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -485 + 479. Suppose 5*i - 30 = -5. Suppose 1 = i*o - 9. Sort t, -4, o, -3 in increasing order.\nAnswer: t, -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -10906756243710?\nAnswer: 10906756243707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 5372944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 7*o + 6*o + 1808, 3*i - 4*o - 1094 = 0. List the prime factors of i.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 408\/11 - 1565\/33. What is the common denominator of 32\/5 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 251136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1 (c) -5 (d) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23876482453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -s + 5*r, -2*s = 2*s + 3*r - 63. Is s < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/78840 and 5\/1030176.\nAnswer: 15452640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + 0*d**2)*(10*d**3 - 89*d**3 - 27*d**3) + (-2*d**3 + 2*d**3 - 2*d**3)*(3*d**2 + d**2 - d**2).\nAnswer: 206*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 20*q**2 + 921*q - 40. Give x(-22).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**8\/672 - 2*n**7\/105 + 17*n**6\/240 + n**5\/60 - n**4\/2 + 2*n**2 - 110*n. Find c such that m(c) = 0.\nAnswer: -1, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/((-872290)\/174439 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -72. Let l = 50 + y. 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: Suppose 364*s = 356*s + 3328. Suppose s = -4*o + 3864. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17597 is divided by 200.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 261343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - b**2 - 8*b**2 + (2 - 2 + b)*(2 - b - 2) + (-4 + 0 + 3)*(-3*b - b - b)*(-3*b + b - b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8301725 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104134 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: What is 1999258 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*j - 224. Let y be 5\/((-160)\/248) - (-6)\/8. Calculate the remainder when 27 is divided by j\/7 - (-2)\/y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278463869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72261)\/(-11718)*6\/(-148).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 42 - 38*i**2 + 63*i**2 - 25*i**2.\nAnswer: -3*i**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 35*k**3 - 4*k**2 + 103*k - 142. Let i(w) = 45*w**3 - 5*w**2 + 105*w - 140. Let u(o) = 4*i(o) - 5*m(o). Solve u(c) = 0 for c.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7))**(14\/5)*(x**(-2))**(1\/32) assuming x is positive.\nAnswer: x**(-69\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2439, 2433, 2407, 2349, 2247, 2089, 1863, 1557?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 186. What is the remainder when t(-9) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*j + 27 = -135*j. Suppose 5 = -2*b - 7. Which is bigger: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 57*y - 236. Let v be a(13). Let l(f) = -2*f - 2. Give l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c - 13868 + 15508 = 0 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2155 and 2156 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -368 + 368.333. What is g rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 618, 1226, 1834?\n\"Answer: 608*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70531 is divided by 551.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 148 = -4*g. Calculate the remainder when g is divided by -4 - ((-9)\/(-54))\/((-4)\/(-12))*408\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74847651869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + s + 33 + 1 + (1 - 1 + 2*s)*(0 + 1 + 1).\nAnswer: 5*s + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321245870 rounded to the nearest one million?\nAnswer: 2321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -27d5d1?\nAnswer: -27d5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*v + 213*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10610 is divided by 1060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 95*z**2 + 32*z + 250. Is q(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*z = -98*z - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18513796 is divided by 280512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c - 2*d - 478, 3*c + d = -709. Let r = c + 564. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775529 is divided by 856.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16565 + 16566 + 0 + -88 + (-1 - 0)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/367387938 and 31\/612313230.\nAnswer: 1836939690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1)\/(-4) + (-369)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 38404*u - 4. Let m be 1\/(-5) - (-66)\/55. Let i be n(m). Suppose 2*q + 2*q + i = 0. What is q rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 14*d. Let k(y) = 9719340*y**2. Determine k(h(j)).\nAnswer: 1904990640*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 17*x + 22. Let t be j(14). Let i be -1 + (-7)\/(-5) - 12\/t. What is the nearest to -1 in i, -0.08, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 177 = 5*i. Let s = 52 - i. Let f = s + -18. Solve 3*z + 35 = 3*g + g, f = 2*g + 2*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 805712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxn when three letters picked without replacement from {n: 2, p: 5, x: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26332742 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 3*l + 0*l - 2*l + 2*l + 0*l + 8*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156908*w - 156947*w + 3471 = 0 for w.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knoo when four letters picked without replacement from oonnnznnnnnnnngnknn?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11422, -22857, -34306, -45775, -57270, -68797?\nAnswer: -80362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 19*l**2 - 2*l + 44. Let a be t(19). Let w(j) = -5*j + j**2 + 2 - 4 - j**2 + j**3 - 5*j**2. Let o be w(a). Solve -5*z - 1 = o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204*x**2 - 7*x - 469*x**2 + 675*x**2 - 544*x**3 to r + t*x**3 + g*x**2 + i*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -37. Suppose -q + 22 = 18. Suppose -q*r - j = -r. Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 497 + -483. Suppose 28 = -42*o + f*o. Which is the third smallest value? (a) o (b) 30 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:18 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 o when four letters picked without replacement from {j: 7, o: 2, b: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 + -0.78. Let m = 0.15 + t. Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15 + 0 + 4*z + 3*z + 9. Let j be i(-3). Suppose 4*q - 12 - 120 = -j*n, 3*q = 9. What is the greatest common divisor of n and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:13 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 29 + 17, 4*a = -4*d + 4. Let k(c) = c - 9. Calculate k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 34705771 - 6705759. Let s be -2 + 5 + -1*w. What is s rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66 - -40.1633605494?\nAnswer: 41.8233605494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 16*t**2 + 12*t - 13. Is r(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696, 3319, 7864, 14331, 22720, 33031, 45264?\nAnswer: 59419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1177*r - 2635*r + 1461*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10633*o**5 + 4607*o?\nAnswer: 212660*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18997658 - -391731708077\/20620. What is the common denominator of i and -113\/20?\nAnswer: 20620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:04 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6604 plus -1418.095?\nAnswer: 5185.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709*c + 766*c - 855 = 0. Let b(s) = -s**3 + 7*s**2 + 3*s - 4. What is the remainder when b(4) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31676884 divided by 214033\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 + -11 + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-247)\/(-4))\/(18\/144)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.029 - 0.971. Let c = 11.6 - 11. What is the second smallest value in x, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 16. Let n be w(11). Suppose n*g = 4*g + 3. Suppose -4 - 5 = -g*s. Solve 2*u - 18 = -u + r, s*r = -9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence who when three letters picked without replacement from hohwwowow.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -658218, -658216, -658214, -658212, -658210, -658208?\n\"Answer: 2*m - 658220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**5 + 22*b**3 - 17*b**2 - 615*b + 2.\nAnswer: 80*b**3 + 132*b - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -28096745\nAnswer: -11238698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**3 + 1\/2*c**6 + 2 + 9\/5*c**5 + 0*c**2 + 0*c + 9\/4*c**4. Factor m(a).\nAnswer: 3*a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/637?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000045422388 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 10*y**2 + 12*y - 6. Let o be i(11). Solve 0*w - o*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 minus -420844.38?\nAnswer: 420844.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m**(-5))\/(m**(-5\/6)*m**(-2\/5)) assuming m is positive.\nAnswer: m**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 656 = 944. Suppose -11*x + 3*x + r = 0. Solve 3*k - 5 = x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 59726 = -3*k, y + 47776 = 5*y - 4*k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r - 3. Let l be (-4)\/(-28) + 45\/(-21). Calculate o(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351) + sqrt(351)*2 - -2*sqrt(624))\/(-4*(sqrt(432)*1 + sqrt(432))))**2.\nAnswer: 3757\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 165*l**2 + 67310*l - 408720.\nAnswer: -5*(l - 131)*(l - 6)*(l + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.8 - 6.5. Sort 0, -3\/5, 2\/3, y in descending order.\nAnswer: 2\/3, y, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8006\/7 + -1144. What is the nearest to -0.1 in 1\/4, 0.5, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 = 6*u + 5*p, 4*u + 3*p + 6 = 0. Find q such that -2\/9*q + 2\/9*q**2 + u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/4 - (-4)\/8. Let y = -5 - -7. Suppose -y*n + 4*n = 10. Solve 0 = -m + x + t - 6, n*m = -x + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5456022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481269150 and 10710.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.864 * 0.1876.\nAnswer: -1.8504864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*k + 5*n, -k = -4*k - 3*n + 9. Let w = 8 - k. What is the biggest value in 2\/3, w, -4\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21263\/2 + 61223\/6. Let f = n + 429. Which is the smallest value? (a) -2\/11 (b) f (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 45*u - 291. What is the remainder when f(12) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 - 0.08. Let t = 1.9652 + 0.0348. Which is the closest to n? (a) -6 (b) -1\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -3 - 3) + -228 + 236.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-20)*-1)\/(5\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 14715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5993575206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 112, 391, 938, 1843, 3196, 5087?\nAnswer: 7606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -237006.\nAnswer: 5\/79002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -33. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (2 + -3 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1552076831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 42 - 10 = 0. Let r be o\/12 + (-385)\/15. Is -25 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 206082220*y.\nAnswer: -5*y*(y - 41216444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 8*x + 3*x)*(3 + 3 - 5)*(0 - 1 - 2).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266 + 283. Solve -r + 20 = q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 6*v + 7911. What is the second derivative of 30*g**5 - v*g**3 + 2637*g**3 - 21*g wrt g?\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 27 = -4*r, -2*r + 19 = 14*q + 113 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -0.8, 2, -0.16, -34, 2\/7 in increasing order.\nAnswer: -34, -1.8, -0.8, -0.16, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/1260 and 5\/265482?\nAnswer: 2654820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, p: 1, g: 1, j: 1, l: 1}. Give prob of sequence kkpl.\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 - 10783186*b**4*p**3 + 4232*b**2*p**3 + 10*b**2*p**2 - p**3 + 2*p**2 wrt b.\nAnswer: -60*b**2 - 258796464*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -114*l**3 + 11*l**2 + 18*l - 5. Let j(g) = -38*g**3 + 4*g**2 + 6*g - 2. Let o(d) = 11*j(d) - 4*p(d). Find the second derivative of o(i) wrt i.\nAnswer: 228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 19760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 48\/(-21))\/((-6)\/(-28)). Let m = 864 + -876. Put -13\/6, t, m in decreasing order.\nAnswer: t, -13\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -49*b - 7. Let w(g) = 33*g + 5. Let m(z) = -5*q(z) - 7*w(z). Let f(v) = -v. Determine f(m(t)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -24*o + 751. Let k be z(31). Let t(v) = -3*v**3 + 4*v**2 + v - 2. Let j(p) = 6*p**3 - 7*p**2 - p + 3. Determine k*t(w) + 4*j(w).\nAnswer: 3*w**3 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1914)\/(-55))\/((-8448)\/(-35200)).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.7 (b) 0.6 (c) 0.3 (d) 1\/9 (e) 76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - 56 - (-8)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 - -14532214?\nAnswer: 14532321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 - -22. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 252\/(-27) + 9 + -1*(-35)\/15. Suppose 8 = -s + 4*p, -s - 2*p + 0 - 2 = 0. Which is the smallest value? (a) u (b) 6\/17 (c) 3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -453*c**2. Let t(b) = 22*b**2 - 65*b + 65*b + 27*b**2 - 46*b**2. Determine a(t(i)).\nAnswer: -4077*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 1 + 1 + 2*a - 3 as u*a + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoozzzoozozzzzzz. Give prob of picking 3 z.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 380 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-141)\/(-470))\/((-2)\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from kyyfyfkyykkykyyy?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144371 + 5?\nAnswer: -144365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*h = h + 139, 421 = 3*a - 4*h. Let d = a + -50. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 276 = 6*k. Suppose -z = -4*s - k, -4*z + 3*s + 328 = z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.035 - -0.035. What is the third smallest value in a, -0.1, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 341549 = -g + 3*g, 4*g - 683074 = -2*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:41 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 6*o + 15*o - 6*o. Let d(w) = 120*w**2 + 4*w. What is d(g(c))?\nAnswer: 120*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 6 + 6)*(-232 + 105 + 125 - 184*b**2).\nAnswer: 184*b**5 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 6, 9, -0.08571 in decreasing order.\nAnswer: 9, 6, 4, -0.08571, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20015219*0.2.\nAnswer: -4003043.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 2*b**3 + 4*b**3)*(87*b + 98*b - 213*b) + (2*b**2 - 7 + 7)*(-3*b**2 + 3 - 3).\nAnswer: -34*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -26, -45, -68, -95, -126?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 103*k**2 - 797*k + 39501. What is d(107)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 1 - 1)*(234 - 64*k - 234)*(6 + 3 - 3) - 2*k**3 + 0*k**3 + 4*k**3.\nAnswer: -382*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s - 20. Let y be b(8). Let p be (y*1)\/((-18)\/8 - -3). Suppose -7*q = 5*q - p. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8\/5)*v**1)\/((v\/v**(4\/5))\/v)**(15\/8) assuming v is positive.\nAnswer: v**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2644 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 3*l + 2. Let b be s(-4). Let x = b - -3. List the prime factors of (-3 + x)*(-33)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 93\/109325?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4121)\/8 - (-1)\/8. Let i = b + 837. Suppose 2*u = 2*w - i, 4*w - 721 = u - 71. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*p**5 + 1517*p**4 - 33*p**3 - 36*p**2 - 309355*p.\nAnswer: 6120*p**2 + 36408*p - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f. Let g be o(5). Suppose 0 = 3*w - g. Let z be (w\/(-6))\/((-1)\/6). Solve -4*c - n = 8 - 0, z*n - 20 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1190063*y**2 - 7*y + 5. Let z be k(4). Suppose 159015 + z = -3*p. What is p rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) -4 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -59. What is the least common multiple of 22 and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 16) to base 10.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13011355 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -4.3232?\nAnswer: -2.1616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -686.1913 + 5\nAnswer: -681.1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20190899.\nAnswer: 79, 131, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 + 18*i**2 - i - 3. Let f be v(-21). Round f to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 3335*d**2\/2 + 10*d + 8. Let f be k(-6). What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + b + b)*(4*b - 4*b + b**2) + 2*b**3 - b**3 + 2*b**3 + 5*b**3 + 12*b**3 - 3*b**3 in the form k + d*b**3 + n*b**2 + m*b and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 62. Let g(x) = 3*x**3 + 3*x**2 - 6*x + 3. Let o be g(v). List the prime factors of (222\/(-9))\/((-6)\/o).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/121*-3*1\/(-9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:47 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124902 is divided by 24964.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 1. Let o(r) = -21*r**3 - 17. Let g(h) = 41*h**3 + 34. Let n(a) = -3*g(a) - 5*o(a). Suppose t + 34 = -68. What is t*w(j) + 6*n(j)?\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -1\/2*i**3 - 19*i - 21\/20*i**5 + 0 - 1\/4*i**4 + 0*i**2. What is the third derivative of u(p) wrt p?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 174962835*i**3 - 349925685*i**2 + 174962845*i.\nAnswer: 5*i*(i - 1)**2*(i + 34992569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884 or 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-1))\/9 + (-1100)\/33. Let u(c) = c + 5. Let n be u(4). Calculate the common denominator of -23\/9 and -2 + p*n\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:43 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a + 40*a - 79*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16570a18 - 1?\nAnswer: -16570a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1221.6789096 + -1069.67892074. Let a = c + -152. What is a rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1156.70642 to the nearest integer.\nAnswer: -1157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*l - 125153 = 134*l. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968 divided by 246?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75442 (base 9) in base 4?\nAnswer: 30030032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1357486 divided by -4.\nAnswer: 678743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1134 * -14.\nAnswer: 15876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -35534*s**2. Let c(q) = 243*q. Calculate b(c(i)).\nAnswer: -2098247166*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-580)*(2632\/(-105))\/94?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = -1617*c + 1593*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 7*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/26 > 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0*k**2 - k**3 + 2*k + 2 - 7*k**2 - k**3. Is o(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/2 - -26)*1. Suppose -5*h - 41 = -5*s + 4, -3*s = -h - n. Suppose -f + 3*v + 0*v = 7, -s = -2*v. Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*x = -175*x + 105 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**0*g))**(-44)\/(g\/g**(-5)*g*g*g**(-6)) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0081943 - -4.\nAnswer: 4.0081943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.00000054 + 47. What is y rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by -6?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + l + 0 + 4 = 0, 2*z = l + 1. What are the prime factors of 115 - (2 + 1)*z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2\/27, -2\/15, 1.48?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 - 2 = 0. Let a(r) = 0*r - 5*r**2 + 4 + 4*r**g + 14*r. Let h be a(14). Solve 2*c - c = h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5551091152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(16\/(-10))*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (4 + -6)*2. Let c be -3 - (-3 + s) - -30. Suppose 3*x + c = 125. What is the remainder when 58 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**4 - 134*y**3 - 9276*y**2 - 87890*y - 139876 = 0. Calculate y.\nAnswer: -17, -11, -2, 187\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = w - 38, 0 = b - 1. Let l = -32 + w. Suppose s + l = 126. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454020?\nAnswer: 2, 5, 122701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-3\/4))\/(s*s**(-2\/9))*s*s*s**21*s*s\/s**4*s assuming s is positive.\nAnswer: s**(809\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 41*q + 38*q - 11, -u = 3*q + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 3*f - 1. Let o be k(4). Let t = 19 - o. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b. Suppose 3*u + p + p - 187 = b, -5*p + 315 = 5*u. Suppose -2*f = 4*m - 10, 3*m + u = 5*f + m. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21089797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.1 - 28. Let n = -13.6 - p. Which is the second biggest value? (a) n (b) -0.5 (c) -13\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + -2. Let r be x\/6*(-9)\/6. Suppose 4*g = 12 - r. 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 thousands digit of 155428540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 49 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 4 - 37 - 3*i + 12.\nAnswer: -3*i - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 48 = 11*b, 5*b + 37*o - 35*o = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730869059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*b**2 - 97*b**2 + 232*b**2 - 101*b**2 + 83*b**2.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 0 + 0)*(16 + 11 - 12)*(75 + 350 - 13).\nAnswer: 12360*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w**2 - 1193*w + 275. Let j be p(54). What is the second biggest value in j, 8098, -3\/7, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 20*q**2 - 12*q + 51. Let v(y) = -y**2 + 6*y + 16. Let d be v(5). What are the prime factors of x(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-66)*105*18\/21060*9\/(-42).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422243557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 + 6 - 1 - 2 + 2*j wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2. Let z be r(-1). Let p be (-6)\/(-3) + 0 - z. Suppose p*t = 5*t. Let a(b) = -b - 2. Calculate a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdzxzxzxzxx. Give prob of sequence xzxx.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9743801 weeks in nanoseconds?\nAnswer: 589305084480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 + 13 + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sns when three letters picked without replacement from sjjnjnjjjsjjjjoojj?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - -25) + (3 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(539) - ((sqrt(539)*-1 - sqrt(539)) + sqrt(539))*5) + 3)**2.\nAnswer: 168*sqrt(11) + 19408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5647 - 5647 + 131*q**2)*(-3*q**2 - 6*q + 6*q) - 2*q**4 - 4*q**3 + 4*q**3 + (-3*q + q + 0*q)*(-q**3 + 2*q**3 - 3*q**3).\nAnswer: -391*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(1\/3))\/i)\/(i\/(i**0*i))*(i*i\/(i**(-1\/2)*i))**(-1\/62) assuming i is positive.\nAnswer: i**(239\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(132) + 1*sqrt(132)*-4)\/(sqrt(432) + sqrt(432) + sqrt(432) + (sqrt(432)*-1*-1 + sqrt(432) - sqrt(432)) + sqrt(432)).\nAnswer: -8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 24*c + 384 = 0. Is 12 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34286845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-48))\/((-64)\/(-576)*20\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 19, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 1\/5*b**5 + 1\/5*b + 0 - 2\/5*b**3 + 0*b**4 + 0*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 48 = -4*y, -4 = -22595*y + 22597*y for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) - 56\/(-12). Let p be j\/6 + 16\/12. Let g be p\/4 + (-2)\/4. Solve 0 = -2*b - g*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103021103 (base 4) to base 14\nAnswer: 20815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(160) + sqrt(160))\/(sqrt(8) - sqrt(1024)\/sqrt(2)))**2.\nAnswer: 720\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211299 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120086*r - 13129.\nAnswer: 120086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - q + 1. Let g(j) = 12*j**2 + 14*j - 6. Calculate -g(w) - 10*p(w).\nAnswer: -2*w**2 - 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 17*a**6\/120 - 3*a**4\/4 - 5*a**2. Find the second derivative of f(j) wrt j.\nAnswer: 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23014317 to the nearest integer?\nAnswer: 4797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 398520691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 61794403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 4*n**2 - 3*n + 2. Let b be r(-3). Suppose m + 2 = j, 0*m = -4*m + 2*j - 10. Put -2, b, m in decreasing order.\nAnswer: b, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = -3. Let j = u + 6. Suppose j*b = 1 + 23. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 5 + 0)*(n - 17*n + 2*n + (3*n + 0*n - 2*n)*(-3 - 2 + 6))*(0 - 1 + 2) in the form u*n + l and give u.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68230763?\nAnswer: 317, 215239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**2 - 8. List the prime factors of r(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13019723 to the nearest integer?\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 - y - 3. Let s be b(-7). Solve -s*a = -2*a - 2*h + 6, -a - 4*h - 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -188*g**2 - 2*g - 1. Let q(m) = 2*m + 48. Give c(q(w)).\nAnswer: -752*w**2 - 36100*w - 433249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*i + 19*i + 6*i + 20*i + 15*i + 13*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.71 centuries to decades.\nAnswer: 337.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6*v + 2776, -6*v + 2842 = 4*o - v. What is the greatest common factor of o and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(3) + -5.\nAnswer: -5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19308461*v + 32086720 wrt v?\nAnswer: -19308461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28003 * -0.06168.\nAnswer: 1727.22504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = 10. Suppose g*c - l + 11 = -5*l, 5*l + 13 = -4*c. Let s be ((-14)\/10 + 1)*-60. Solve 10 = -2*d - u, 5*d - d + s = -c*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 48754?\nAnswer: -1\/24377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 56, 82, 108, 134?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q - 1. Let x(f) = -2*f**3 - 2*f**2 - 2*f - 2. Let d = -9 - -8. Let u = d + 0. Determine u*x(b) + 2*y(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 122*g - 19. What is the remainder when 70 is divided by c(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o + 5*o - 5*o)*(0*o + 5*o + 2*o).\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-20))\/((-2)\/(-76)). Let n = 4435 + -66478\/15. Let x = n - p. Sort -0.4, x, -1 in descending order.\nAnswer: -0.4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033033 + 0?\nAnswer: -1033033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:38 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3)*(22 - 22 - 10*w**3) as h*w + b*w**3 + g + c*w**2 and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 43*s + 60 = 0. Solve -2*v + 2*h = -18, s*v + 2*h = 1 + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 500\/130 - (-4)\/26. Suppose -163 - 3 = 5*k + m, -186 = 5*k - c*m. Let y = k - -46. What is the lowest common multiple of y and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 1, p: 1, k: 1, r: 1}. What is prob of picking 1 p, 1 r, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((4 - 1) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -23.9. What is the nearest to 0.3 in 2\/9, -2\/19, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684735 and 15535.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21877 = 11*p - 12696. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.47 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826498 a multiple of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152.5 + -153. Which is the third smallest value? (a) s (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66466, -132936, -199420, -265924, -332454, -399016, -465616, -532260?\nAnswer: -598954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27087252 divided by -13543626\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-36))\/((-80)\/9*(-12)\/(-10)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 310\/(-30) + 16 + -6. Which is the closest to 6\/13? (a) t (b) -0.9 (c) 1\/2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/4)\/(13 - -2). Let i(x) be the third derivative of 9*x**2 + 0 + 0*x**5 + x**3 + 0*x - o*x**6 + 0*x**4. What is the derivative of i(g) wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23670 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(187) + (2*(sqrt(187)*-4 - sqrt(187)) - sqrt(187)) + sqrt(187)))\/(6*(sqrt(176) - sqrt(176)*5)).\nAnswer: -9*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*i - 2*i - 54 = 0, 2*a + 3*i - 143 = 0. Suppose 4*t = 5*h + a, 7*t - 3*t = h + 16. Let v be 0\/h - 16\/(-2). Solve -3*l + v*l + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363 + 3*i**3 - 6*i**3 + 577.\nAnswer: -3*i**3 + 940","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22*(-1)\/2 - 1. List the prime factors of s\/(-54)*-3 - 374\/(-3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 38*r**2 + 39*r + 44. Let z be u(20). Solve 5*y = -3*y - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*b - 0*b - 1, -5*y = 2*b - 8. Let j(w) = 6*w + y*w + w - 2*w. Let n(t) = -t**2. Determine n(j(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1706 + 266 + 424*z**2 + 353*z**2 wrt z.\nAnswer: 1554*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602 (base 10) to base 15.\nAnswer: -2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110278, -219487, -328696, -437905, -547114, -656323?\n\"Answer: -109209*h - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**3 - 7*q**2. Let t(p) = 20*p**3 + 22*p**2. Calculate 17*d(j) + 6*t(j).\nAnswer: j**3 + 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 614800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:36 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18638.\nAnswer: 2, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 - z**2 + 13*z + 31. What is m(-3)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 - (27 - 23) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663 + -93217.\nAnswer: -92554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -1, 2, 4\/85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.756 - 1.674. Let l = c - -9. Let n = l + 0.13. What is the biggest value in n, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88453 or 88117?\nAnswer: 88117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*387322.\nAnswer: -10070372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-4)*10)\/((-9)\/12). Let g be 8 + (-6 + 1 - -1) + o. Let u be (-21)\/g - (27\/(-6))\/3. Solve 3*a + a = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2418 or 2417?\nAnswer: 2417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12488398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 3\/2, -2\/19, -106\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9788 divided by 2447.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1147.213105 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {v: 1, n: 2, u: 2, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -2 + 5984 + -6185.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/49*(-30415)\/275.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58897 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*p = 10, -2*v - 17*p + 22*p + 19 = 0. Solve 5*r = -0*r - v*k, r - 4*k + 22 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 13*a - 2 - 17*a)*(-4*a**2 + 4*a**2 + a**2).\nAnswer: -4*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5 + 12*w - 26*w to the form x*w + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z. Let s(h) = 5*h. Let o(w) = -90*w. Suppose -12*b + 13*b = 2. Suppose -b*x + 3*x + 110 = 0. Let t(c) = x*s(c) - 6*o(c). What is q(t(i))?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 24868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 326, 744, 1308, 2000, 2802?\n\"Answer: -3*p**3 + 100*p**2 - 25*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 420 + -805\/2. What is the common denominator of u and -91\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -22 + -6 - 54?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t. Let d(f) = 14*f + 24. Suppose 2*u + 53 = 63. Let s(q) = q + 2. Let v(k) = u*d(k) - 60*s(k). Calculate v(h(a)).\nAnswer: -70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 10 - 2*v**3 + 1 - 13 + 3*v**2 as y*v**2 + t*v + x + j*v**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1\/(-6))\/((-9)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36ba950 (base 13) to base 5\nAnswer: 13330432122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 275, 314, 377, 470, 599?\n\"Answer: r**3 + 6*r**2 + 14*r + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -770, -771, -772?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4001 - -231?\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11594 - -33512. List the prime factors of v.\nAnswer: 2, 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -31\/4 (b) 2\/7 (c) -0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y**2 + y. Let l(j) = -j**2 + j. Suppose 0 = -21*t - 2*t + 15 + 8. Calculate t*s(d) - l(d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1821*m*u**4 - 1409*m*u**3 + 7*m*u**2 - 4160773*m*u + 8*m - u wrt u.\nAnswer: 21852*m*u**2 - 8454*m*u + 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2847 is divided by 135.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61723361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30704)\/(-3838)*2\/(-72)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480 and 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481083192.\nAnswer: 2, 3, 19, 117223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 185 = 165. Let d = k + 30. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3034\/385 - 3\/154. What is the common denominator of -25\/11 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -15*f**2\/2 - 68*f - 18. List the prime factors of o(-11).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 2*m**2 + 6*m. Let j(t) = -11140*t**3 + 2*t**2 - 6*t. What is 2*j(q) + 2*v(q)?\nAnswer: -22282*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*w**4 + 0 + 5 + 15*w**2 + 20*w**2 + 10*w**2 - 43*w**2 to the form o*w**4 + f*w**2 + c + z*w**3 + n*w and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*p + o - 4*o, -o = -p + 21. Let g = -20 + p. Suppose 0 = 2*h - 4*d - g, -2*h - 2*d - 14 = -44. Solve 3*v = -h - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = -3*d. Let w be 60\/27 + d\/18. Suppose 0 = -2*v - 3*v - 30. Sort 5, v, w.\nAnswer: v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*z, 2 = -3*b + 4*z - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-42)*-2*749\/428*(-140)\/(-2485)\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**1*t)*t*t)**(23\/5)\/((t\/((t\/t**(-1))\/t))\/t)**(-13\/2)*(t**1*t)**42\/((t\/(t\/(t*t**5)))\/t**(-3)) assuming t is positive.\nAnswer: t**(731\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -57. What is the third derivative of -13*x**4 - 2*x**2 - 17*x**2 - f*x**4 wrt x?\nAnswer: -600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 79290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 13*x**2 - 11*x - 8. Let s be u(12). Suppose s*z + 26 - 10 = 0, 3*f + 3*z - 1575 = 0. Is f 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 -25\/31088 and 69\/20?\nAnswer: 155440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5. Let b be q + 3 + 1 + -1. Suppose 4*t = 5*p + 101, 3*t - b*t + 4*p + 1 = 0. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + 2 + 51*o**3 - 78*o**3 - 2 + 170*o**3 as j + l*o + n*o**2 + k*o**3 and give k.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 361118 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/6 + 479*d**3\/3 + 167149*d**2\/6 - 4972978*d + 161678886.\nAnswer: (d - 58)**2*(d + 537)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 7. Solve -d*f + 11 = -14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b - 23. What is h(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30317 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1876*s**3 - 83*s - 9 wrt s.\nAnswer: 11256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 4. Let a be u(1). Let w be (-7)\/a*1*-4. Suppose -3*b - 9 = -w*h, b + h - 7 = -h. Solve c = 6 - b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/12 + 0)\/(1\/(-3)). Sort -0.1, c, 0, 1 in ascending order.\nAnswer: c, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 145.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26\/5 of a millisecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*g - 183*g - 4*h = -37, 4*h - 36 = 0. Let b(k) = k + 1. Let f(d) = -d + 7 + 2*d - 2 + 1. Determine g*f(w) + 6*b(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1276\/13 + 98. Let v = -7.9 - -8. Let o = v - -0.2. Which is the biggest value? (a) -0.2 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 3*w - 3. Suppose -5*q + 22 = 3*g, -3*q = -5*g - 6 - 14. Suppose -103 = -q*a - 383. Let o be a\/(-42)*(-6)\/4. Calculate f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*16\/20*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11460 and 2118?\nAnswer: 4045380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0 (b) -4.8 (c) -3\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558.318mg in nanograms?\nAnswer: 2558318000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94, 25, -82, -221, -386, -571, -770?\n\"Answer: t**3 - 25*t**2 - t + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15*q + 12. Let o(r) = -29*r - 23. Let f(v) = 7*d(v) + 3*o(v). Let n be f(5). Suppose 9*s = 2*s + n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122, 209, 294, 377, 458, 537, 614?\n\"Answer: -k**2 + 90*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347404 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 392699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5, -32 = -7*y + 63*r - 66*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 2*i**2 - 3*i - 6. Let k(n) = -5*n**3 - 5*n**2 - 8*n - 17. Let z(f) = -8*a(f) + 3*k(f). Determine z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57348, 114470, 171424, 228210?\nAnswer: 284828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/50 - (-2)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*a**2 + 127*a**2 + 128*a**2 + 119*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520000 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*s = -240, -20*z - 2*s - 240 = -25*z. Calculate the smallest common multiple of z and 20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*p + 72*p - 36*p + 72 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = -1. Suppose 3*c - 5*c = -a. Let r be (-2 + c)*(0 - -1). Put 5, -2, r in decreasing order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5414?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w - 1. Let i(a) = 2*a - 8. Let z be i(6). Suppose -z*f + k + 4 + 6 = 0, 4*f + k - 6 = 0. Calculate l(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*x = 79*x - 81. What is the least common multiple of 549 and x?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2880) + ((sqrt(2880) - (sqrt(2880) + sqrt(2880)*3)) + sqrt(2880) - sqrt(2880)))*4)\/(sqrt(1210) + sqrt(1210)*1 - 6*sqrt(50)\/sqrt(5)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x + 3 + 18*x**2 + 8*x**2 + 19*x**2 - 36*x**2.\nAnswer: 3*(x - 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*s - 11 = 5*v - 568*s, -3*v = 4*s - 63 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*j + 405 = 4150 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 12 + 213. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 = -b. Solve -b*d + 5 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q**2 + 1. Suppose -3*u + 12 = 4*p - 0, 5*p + 4*u - 14 = 0. Let y(m) = -5*m**3 + 6*m**2 + 6. What is p*c(d) - y(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-13\/5)\/(n*n**(-12)))\/(n\/(n*n\/n**(-4\/7))*n\/n**(-1\/2)))**(-2\/105) assuming n is positive.\nAnswer: n**(-593\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57775799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 251, 2, 0.017, -3\/2, -5, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69122, -69148, -69174?\n\"Answer: -26*z - 69096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**8\/560 + t**5\/60 + t**3\/3 + t. Let c(d) be the second derivative of k(d). Find the second derivative of c(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1384*r**4 - 204*r**3 - 1298795 wrt r.\nAnswer: -5536*r**3 - 612*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/20 + 6*u**2. Let o(g) = -g**2. Determine x(o(s)).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 266\/15*k**3 + 0 - 272\/15*k**2 + 8\/15*k - 22\/5*k**4.\nAnswer: -2*k*(k - 2)**2*(33*k - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2546*u**2 - 4434*u**2 + 2344*u**2.\nAnswer: 456*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1399, -5591, -12611, -22489, -35255?\nAnswer: -50939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 + 569*y + 65 + 1860 - 1162*y + 592*y.\nAnswer: -y + 2133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75663900 rounded to the nearest 100000?\nAnswer: 75700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 964 = -6450. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 8 - -20) + (-3 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((0 + sqrt(13))*4 - (0 + sqrt(1573))) + (sqrt(91)\/(sqrt(7) - -2*sqrt(7)) - ((sqrt(130)*-1)\/sqrt(10) - sqrt(13))))**2.\nAnswer: -112*sqrt(13)\/3 + 2692\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.607 + 0.093. Let w = -1 + 1.7. Let u = q - w. Which is the third biggest value? (a) -3\/2 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -29*z**7\/35 - z**6\/30 - 47*z**5\/30 + 740*z**2. What is the third derivative of h(t) wrt t?\nAnswer: -4176*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 4. Let d be n(-5). List the prime factors of (0 - -14*d) + 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a hour in milliseconds?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 - 3*f + 1 + 5*f**3 + 0*f**4 - 14*f - 9*f in the form n + j*f**4 + g*f + u*f**3 + a*f**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -126*s - 2. Let u(g) = -101*g - 2. Let r(f) = -4*p(f) + 5*u(f). Let b(n) = n + 5. What is 2*b(w) + 5*r(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360 - 353. Let t(i) = -11*i + 5. Let y(a) = 11*a - 4. Let b(m) = -3*t(m) - 4*y(m). What is the remainder when b(-3) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 1\/3 (c) -90831 (d) 0.1 (e) -4 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*k + 1 - 21, -3*k = -9. Suppose 18 = s + c*s. Which is smaller: 5 or s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 17 = 3*j, -8*l + 4 = -4*j - 4*l. Let d(q) = -61*q**3 + j*q + 19*q**2 + 3*q - 64*q**3 + 128*q**3. What is d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/22 and 117\/380.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3292, -3308, -3334, -3370, -3416, -3472?\n\"Answer: -5*r**2 - r - 3286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*138\/36*-2. Let d = u + 97. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.6581 - -0.0419. Let m = 2.39 - -0.31. Let z = o - m. What is the closest to 0.1 in z, 3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 625724 and 42?\nAnswer: 13140204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2955.\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7238 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3111398 and -3.\nAnswer: -9334194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 22 - -10) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 18*x**2 - 17*x + 4. Let r be y(17). Let w be (-7)\/1*r\/(-7). What is the third smallest value in -0.5, 3, w, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -429, -1048, -1915?\nAnswer: -3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -17. Let x(n) be the second derivative of 0*n**4 + 0*n**5 + 2\/15*n**d + 1\/2*n**3 - 2*n + 0 + 0*n**2. Find the second derivative of x(y) wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 6*a**2 + a - 4. Let c be v(6). Let k be 0\/c + 7 + -27. What is the tens digit of 2 - (k + (-1 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1 + 3. Suppose -34 = -4*f + 2*l, -3*f + k*l + 43 - 15 = 0. 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: Suppose 1 = v - 2. Let m be ((-191)\/v)\/(187\/36). Let j = m - -545\/34. What is the common denominator of 41\/12 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8721533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -0.18. Sort 2, n, 6 in increasing order.\nAnswer: n, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/((-6)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1348446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2754\/2065 - 2\/6195. What is the nearest to 0.0462 in 5, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Let l be n(-3). Suppose 2*f - l = 2. Suppose 0 = -k - f*k + 15, 0 = 4*w - 2*k - 138. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/3 - 48740*c**2. Let b(p) be the first derivative of -5*p**3 - 1. Calculate b(j(h)).\nAnswer: -960*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 73193025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684742 is divided by 52670?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 11570932*d + 100414850511468.\nAnswer: (d - 17356398)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4261 (base 10) to base 16.\nAnswer: -10a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*c + 8, s + 3*s - c + 20 = 0. Let b(g) = -g**3 - 3*g**2 - 4*g - 1. Is b(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 5*j - 1346*j**2 - 781*j**2.\nAnswer: -2127*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -158 (b) 6 (c) 8 (d) -2172\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02302 and -8.\nAnswer: -0.18416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 197*u - 107*u - 99*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 683.001451 - 683. Round c to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 44755.64mg?\nAnswer: 44.75564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:07 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -172928?\nAnswer: -172931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 30. Suppose -3*j + 5*y - 25 = -j, -3*j = -5*y + x. Let r = -30 - -25. Which is the nearest to r? (a) 3 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5511 + -0.0551. Let h = m - -0.004. Let p = -3 - -2.6. Which is the biggest value? (a) h (b) p (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**3 - 2*n**2 - 2*n. Let c(q) = 5*q**3 + 3*q**2 + 3*q. Determine -4*c(p) - 6*y(p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 704 = 3*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-232)\/28 - (-4)\/14. Let y = f - -8. Let g be (4 - y)*18\/24. Is g < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjjjkjjjjjjjkkjjjkj. What is prob of picking 2 j?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4970*c + 8 = -s - 4968*c, 2*s + 3*c + 16 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 81512 - 81512 - 3*f + f. Let t(x) = x**2 + 2430. Calculate t(p(c)).\nAnswer: 4*c**2 + 2430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1970 and 140?\nAnswer: 27580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74889 = -335*v - 4204. What is the remainder when 1475 is divided by v?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*y = 12 - 55, 4*g + 42 = 5*y. Sort 0, g, -3 in descending order.\nAnswer: 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c - 3. Let b(s) = -s**3 + 3*s**2 + 5*s + 3. Let h be b(-3). Let v = 62 - h. Suppose -9*u - 10 = 2*w - 4*u, -5*u - v = 4*w. Give g(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27924, 29833, 31742?\nAnswer: 33651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 123, 129, 147, 183, 243, 333, 459?\n\"Answer: d**3 - 3*d**2 + 2*d + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.92 - -0.08. Let v = y + -15.4. Which is the nearest to 0.1? (a) 5 (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1740\/11 + 158. Let r be ((-85)\/18)\/(-17) - 2\/(-9). What is the nearest to 1\/4 in 2, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14845833 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let f = 12 - 14. Let k(h) = -4*h - 4. What is f*k(t) - 7*i(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11613068 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {d: 3, h: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11061195?\nAnswer: 3, 5, 737413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*w - 8, 3*l - 10 = -w - w. Suppose -r + d = l*d - 247, 0 = r - 3*d - 265. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/36)\/((-21)\/(-196)). Which is the smallest value? (a) -3 (b) t (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvessvvvvvsssvov. What is prob of picking 3 s and 1 e?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254 - -257. Let q(d) be the second derivative of 0*d**2 + 3*d + 0 + 0*d**u - 3\/20*d**5 - 1\/12*d**4. Find the third derivative of q(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 985 + 986 - v - 1971.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**8\/(d**16*d) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/1820317 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 0.4, 44, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4.07. Let q = k - -0.07. Which is the closest to -1? (a) 1 (b) q (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefgtqqz. What is prob of sequence qeqg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnjnjnnn. Give prob of sequence jn.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -h - 4, 4*r - 2*h - 3 = 5. Let k(m) = m + 16. Let z be k(r). Let a be (12\/z)\/(1\/12). Calculate the highest common factor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8676839962.\nAnswer: 2, 7, 29, 1301, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 + -33?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + 6*h**2 - 8*h**2 + 22*h**2 - 10*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 51761572.7 to the nearest 100000.\nAnswer: 51800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005418012 to 6 decimal places.\nAnswer: -0.000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1. Let h(y) = -y**2 + 2*y + 1. Let z be h(3). Let w = -3 - z. Let i(k) = 2*k - 3. Determine w*i(m) - 5*b(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/1012 - 11165\/46046?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35393*x + 138 = -35399*x + 3*n, -3*x - 67 = -2*n for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21908947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -23*m**2 + 327*m + 1894. Determine r(-6).\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100101000001101 - -10?\nAnswer: 10100100101000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) -3 (c) 4\/9 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*q - 2*q - 1, 16 = 4*q. Suppose 3*i + 15 = 0, v*p = -0*p - 4*i + 562. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 less than 725?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 715\/325*(-6)\/(-22)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 2*l**2 + 0*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, q: 1, e: 4}. Give prob of sequence tqet.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 7*a**5\/60 - a**4\/12 - a**2. What is the second derivative of g(r) wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - 119\/(-14). Suppose p = -5*y + y, 24 = 5*n - 2*y. Solve -2*z = -n*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.2 (c) -0.4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 8*d**2 - d - 10. Let w(k) = k**3 + 6*k**2 - 5*k + 6. Suppose 5*i - 38 + 73 = 0. Let f be w(i). Determine v(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(84\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1 - (-9 - -2)) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278190 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 340.00000288 + -340. Round p to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/14*(-238)\/68. Let c(y) = -4*y**2 - 12*y - 5. Let o be c(q). Solve 5*m = -o - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 5 + sqrt(275) + -1)*-2 + -2*(sqrt(275) + 2)**2 + 2 + -4 + 2.\nAnswer: -566 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 783 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6840 and 1016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72024088 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 4)*(-2*v + 0*v + 5*v)*(-4*v + v + 12*v) to the form n + w*v**2 + i*v and give w.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -476*c**4 + 530*c**3 - 640*c - 224*c - 74*c**4 - 250*c**5 + 774*c**2 + 68 + 148.\nAnswer: -2*(c + 2)**2*(5*c - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 - 9\/(-3). Let o(k) = -3*k**3 + 3 - k - 3 + 3*k. Let p be o(-2). Solve 0 = 7*y - l*y - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178529.951 + -178390. Let q = 0.649 + y. Round q to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4187 = 9*v - 48*v - 40*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4 + 1 + sqrt(1900))*-6 + -4 - (3*(-1 + sqrt(1900))*-5*2)**2).\nAnswer: -1710938 + 17940*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 69 (b) -8 (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-53)\/(-1*(-4)\/(-16)*4). What is the greatest common factor of 159 and v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/27 and 70\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1 - t + 7 - t**3 + 4*t**2 - 3*t**2. Let d be m(0). Does 6 divide 3\/((-45)\/d)*-70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583*s - 602.\nAnswer: -583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 3681.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49836 - 49835.9. Let t = 0.1 + 0.1. Let u = 0 - t. Which is the biggest value? (a) 0.3 (b) s (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346905.9ns in microseconds?\nAnswer: 346.9059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12211, 16187, 20163, 24139?\nAnswer: 28115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6250, 9482, 12714?\n\"Answer: 3232*a + 3018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1. Let f(t) = 29*t + 2. Let p(j) = f(j) - 5*l(j). What are the prime factors of p(4)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*k + 58*k + 61*k.\nAnswer: 75*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from dvldcxh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -318826 divided by -44?\nAnswer: 159413\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 + 6*z**2 + 4*z + 4. Let o(b) = 8*b**3 + 13*b**2 + 9*b + 9. Let i(n) = -9*k(n) + 4*o(n). What is x in i(x) = 0?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1088?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 41*b + 425. What is g(-8)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q - 3. Let w(m) = 36*m + 15. Give 21*t(k) + 4*w(k).\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5681*k**3 + 1 - 5671*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:33 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 79 + 11. List the prime factors of ((-1040)\/k)\/((-8)\/(-3) - 2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -60. Let l(j) = 3 + 4*j**2 - b*j + 64*j - 2*j**2. Let a be l(-7). Solve -2*g - 3*g = -a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 3*b + 2*b**3 - 47*b**3 + 146*b - 146*b + (0 - 2 + 1)*(2 - 2*b**3 - 2).\nAnswer: -43*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*w + 711 = -361 + 67 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 523 + -519. Let l = 2.3 + -0.3. Let s(p) = p**3 + 16*p**2 - 20*p - 55. Let j be s(-17). Sort l, j, y, -2\/5.\nAnswer: j, -2\/5, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -305*k**5*l - 2*k**2*l**2 + 6*k*l**2 + 27*l**2 + 2*l wrt k.\nAnswer: -6100*k**3*l - 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.1686 minus 0.08?\nAnswer: -44.2486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 103 times -26072\nAnswer: -2685416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -456.\nAnswer: -455.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -3 - -1 - 0) + 3. Suppose 5*o - 242 = y, -2*o + t*y - 58 = -3*o. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a factor of 8703507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 7904.15 and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28149 by -1717.\nAnswer: -28149\/1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -407*x**2 + 229*x wrt x.\nAnswer: -814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6315*g - 36807. What is t(-6)?\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/5)\/(6\/(-150)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*j + 3, -j + 2*j - 1 = 0. Let n be (x\/(-11))\/((-1)\/2). Let a be -1 + (-1)\/1 - -1. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*k = 46, -n + 6*k + 8 = 2*k. Suppose 1429 = 13*l - n*l - 2*x, -3*l + 4243 = 5*x. Calculate the highest common divisor of 29 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - (-1088)\/(-6). Suppose -11*f + 13*f = 1094. Let x = f + v. Calculate the lowest common multiple of x and 6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76488 and 57366.\nAnswer: 229464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {w: 1, f: 1, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 5 + 3*l + 3*l**2 + 0*l**2 + l**2. Suppose -7*u + 20 = -2*u. What is the units digit of k(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.074 * 46\nAnswer: 3.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481 is divided by 338?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 + y - 2. Let l(c) = -c**2 + c. Let d(m) = -h(m) - 3*l(m). Let i be d(-2). Let s(o) = -o**3 + 5*o**2 + 6*o + 4. Calculate s(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-1)\/3)\/(134\/(-201))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:03 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:01 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*x + 8278 = 4*y - 223*x, 8258 = 4*y - 5*x. List the prime factors of y.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f**3 - 2*f**2 + f + 1. Let i be g(2). Let t(z) = -2420*z**2 + 7269*z - 20. Let o be t(3). What is the highest common factor of i and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:58 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -225 + -2?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1224)*4 - sqrt(272)\/sqrt(648))\/(((1*sqrt(216))\/sqrt(9))\/((sqrt(60) + sqrt(960))\/sqrt(5) + sqrt(12) - sqrt(12))).\nAnswer: 1075*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745 divided by 75?\nAnswer: 383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) + 5*sqrt(114)*1) - ((sqrt(114) - sqrt(114)*-5)*-3 + sqrt(114)))\/((-1*sqrt(864) - sqrt(864))*1*6).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 + -2007064660?\nAnswer: -2007064503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((2*sqrt(130)*-1)\/(sqrt(10) - (1*sqrt(40) + sqrt(40))) - (sqrt(1300)*-2 + 3)*3))**2.\nAnswer: -4732*sqrt(13)\/3 + 432133\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -11*c + 8*c - 51, -o + 20*c - 15*c + 129 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540087*c**2 - 270050*c**2 - 270037*c**2 + 122*c**3.\nAnswer: 122*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34*-66309\nAnswer: 2254506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {z: 7, p: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h**3\/4 - 1740*h**2 + 16197*h\/4 - 2313\/2 = 0.\nAnswer: 1\/3, 2, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((445\/(-178))\/(2\/(6\/5)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67860 and 130?\nAnswer: 67860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -7)*(-2)\/(-4). Suppose 2*i + 4*g = h, -i - 5*g = -10*g - 28. Calculate the remainder when 29 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*h - 94 + 209 - 112 to the form x + w*h and give w.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l - 7*l + 2*l)*(-2 + 5 - 1)*(-2 + l + 2).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -419464182 rounded to the nearest 1000000?\nAnswer: -419000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-18))\/((-48)\/(-252)*35\/28).\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9906\/(-79248)*(-32)\/(-142).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 - 2 + (3 + 0 - 2)*(-3 + 1 + 1))*(-3*k**3 - 4*k**3 + 2*k**3)*(k - 3*k + 4*k).\nAnswer: -60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 2*b - 51. Let t be h(9). Put t, 0, -3 in ascending order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3949 + -2264. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-12)\/20*(-48)\/18\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - s + 2*s - 7*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9180 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:54 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/171058857 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -196646 in 5, 12, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(275) + 0.\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9226*q**2 + 27690*q + 36.\nAnswer: 2*(q + 3)*(4613*q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -5159\nAnswer: 2579.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3255105, -6510314, -9765523, -13020732, -16275941, -19531150?\nAnswer: -22786359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*w + 31*c**2 + 178*c*w + 39*c + 52*w + 7958 wrt c?\nAnswer: -4*c*w + 62*c + 178*w + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57077?\nAnswer: 57077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58867, -117415, -175965, -234517, -293071, -351627?\nAnswer: -410185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 875*j**2 - 3*j + 3. Let k(b) = 876*b**2 - 2*b + 2. Give 3*k(x) - 2*v(x).\nAnswer: 878*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7\/5))**(-3\/23)\/(h**(-23)*h**(-13\/4)))**(8\/7) assuming h is positive.\nAnswer: h**(3474\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311 - 311.062. Sort -2, -3, n.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 28843 = 72454. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -968, -1534, -2110, -2702, -3316, -3958?\nAnswer: -4634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45578, -182197, -409890, -728651, -1138474, -1639353, -2231282, -2914255?\n\"Answer: v**3 - 45543*v**2 + 3*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 104942 + 104942. Let t(y) = 349*y**2. Determine m(t(n)).\nAnswer: -243602*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.17 or 3828?\nAnswer: 3828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 43 = 8*m, -2*q - 5*m - 22204 + 22227 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 - 3\/(-1). Suppose -2*z - 3*w + 32 = 0, 2*z - a*w - 7 - 1 = 0. Calculate the smallest common multiple of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 10. Let o be i(12). Let c(u) = 0*u + 4 - 2*u - o*u. List the prime factors of c(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 190, 295?\n\"Answer: 105*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0. Let q = u - -4.9. Let g = -50.14 + 49.74. Which is the third smallest value? (a) 0 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -16, 172 in increasing order.\nAnswer: -16, 7, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-27))\/(5 + (-51)\/9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2208 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 87*r + 440. Let c be d(-5). Solve c*p - p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 2*h + 2. Let k = 96 + -136. Let u be 3*6\/81 - k\/(-18). What is c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -184 + 171 + 16 + 2 - -14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23694503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 25*h**3 - 9*h**2 - 8. What is the least common multiple of 78 and a(2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - t - 5 = -z, -3*z = 4*t - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -2.91?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86930062300 rounded to the nearest 1000000?\nAnswer: 86930000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000458294401 to 7 decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665 a factor of 80063665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*p - 192 - 936, 376 = p + 2*g. Let q(y) = 5*y**2 + 17*y + 11. Let c be q(-12). Let t = c - p. What are the prime factors of t?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 86572.\nAnswer: 1, 23, 86572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 94*b**2 - 95*b**2 + 160*b as o*b**2 + c*b + d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-477)\/(-12)*(18*180\/486)\/(95\/(-38))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31 + (-4)\/(-12)*-3. Let f be (-56)\/20*a\/(-1). Let y be (-233)\/(-11) + 34\/(-187). Calculate the highest common factor of y and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4078925, -8157851, -12236775, -16315697, -20394617, -24473535, -28552451?\nAnswer: -32631365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t - 15*k = -16*k + 150, -3*k = t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/(-6) + -3)*(-6)\/44. Which is smaller: k or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 18 - 3*f - 4.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2 + 13*l. Let j(g) = -2*g**2 + 3*g. Calculate 26*j(y) - 6*r(y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 352000744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 427464 plus -4?\nAnswer: 427460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(9\/6) + 3. Suppose 4*u + r*z = 72, u = -4*z + 3*z + 18. Let n be 84\/(-4)*(-6)\/1. Calculate the greatest common factor of n and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1184\/33013?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 = -x - 2, 0 = -5*w. Solve -4*g - 2*z + 10 = 0, -5*g + 2*z - x = -2*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:56 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 9, -6, 13.\nAnswer: -6, -3, 1, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrcrrr. Give prob of sequence rrrc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 15*l - 152 + l - 17*l to the form h*l + w and give w.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001 + 0?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 - 82 - 4*k**2 + 3*k to y + w*k**2 + z*k and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = -0*r + 75. Suppose -360 = -5*x + r*o, -x - 6*o + 3*o = -84. What is the greatest common divisor of x and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609054 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-6) + -3*(-6)\/27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 1199 = 78*g. Solve -g*a = -46 - 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-235)\/(-141)*((-6)\/(-5) + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-13))\/(w\/((w\/((w*(w*w*w**(6\/13)*w*w*w)\/w)\/w))\/w*w)))\/(w**(1\/6)\/w*w**(-2\/9)\/w) assuming w is positive.\nAnswer: w**(-3371\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0, -2\/3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 5*x**2 - 6*x**3 - 4*x**3 + 2*x**3 + 8*x**3 - 2*x**3.\nAnswer: -2*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*o + 5, -3*o + 8*o + 29 = m. What is the smallest common multiple of m and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r**(-2\/17)*((r*r**2*r*r*r*r)\/r*r)\/((r\/(r**(-6)*r))\/r))\/((r**0)**(2\/63)\/(r\/r**7*r**(-6)\/r)) assuming r is positive.\nAnswer: r**(-959\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*p + 5 - 23, p + 3 = 2*i. Calculate the greatest common divisor of p and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1 (c) 77 (d) 0 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 80 = -p. Let b be 10\/(8\/p - (-12)\/(-5)). Let i(w) = 9*w + 1. Let y(j) = -22*j - 2. Let u be (-196)\/16 - 2\/(-8). Calculate b*y(h) + u*i(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*u + 31. Let t = 12 - u. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 138*h**2 + 584*h + 443. Determine t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 - 2*q**4\/3 + 13*q**3\/6 + 12*q**2 + 22*q + 4. Let y be s(-10). Calculate the greatest common factor of 846 and y.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.493 * 204.\nAnswer: -304.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1\/4 (c) 5 (d) -8 (e) 0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - l - 28 = -3*m, -l - 76 = -3*m. Let o be ((-3)\/6)\/((-4 - 0)\/m). Let p be 266\/(-56) + -1 + o\/4. Sort 0, p, -0.6, -2\/7.\nAnswer: p, -0.6, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 169 + 26 = -4*t, 2*g = 3*t - 113. Let y be (-624)\/117*333\/(-6). Calculate the highest common divisor of y and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + 5*m - 4. Let j(x) = 458*x - 8 - 3 + 420*x - 864*x - 9*x**2. Determine -11*a(l) + 4*j(l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132132321 (base 4) to base 6.\nAnswer: -12143401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, t: 1, x: 1, v: 1}. Give prob of sequence xp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((6*(sqrt(28) + (-2*sqrt(28) - sqrt(28))) + sqrt(28) + (sqrt(168)\/sqrt(3))\/sqrt(2))\/(sqrt(36) + (sqrt(324) - (sqrt(324) - -1*sqrt(324)))))**2.\nAnswer: 700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759371655 to the nearest integer?\nAnswer: 27557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.1, 2\/5, 1 in decreasing order.\nAnswer: 1, 2\/5, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 34. Suppose -3*b - 5 = 4, 4*r + b + 159 = y. What are the prime factors of 6\/(-4)*1222\/r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 268427404.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/5 - -3 - -50. Let i = u + -41. Suppose -d - 394 = -3*v, i*v - 4*d - 370 - 289 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = 11. Let x(y) = 543 + y - 549 - 2*y + y**g. Suppose 2*m = -3*m. Give x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-15))\/((-8)\/12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.854 - -0.554. What is the closest to 2\/9 in i, 3, -20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7126 - 7106. Calculate the highest common factor of a and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -904, -2032, -3606, -5620, -8068, -10944?\nAnswer: -14242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 20*w + 18. Let o(x) = x**3 - 4*x**2 + 4*x + 4. Let g be o(4). What is the remainder when 35 is divided by b(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**3\/6 - 1667*m. Let f(u) = -1124*u**2. Calculate l(f(n)).\nAnswer: -1124*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -161.4 (b) -33 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)\/x**(4\/3))\/(x\/(x**(-1\/2)\/x)*x*x**(-3)) assuming x is positive.\nAnswer: 1\/sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, -0.3, -0.1, 2\/9, -1\/12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -947 (base 13) to base 11\nAnswer: -1207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*m + 2*u - 35, 2*u = m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7937280 and 1048320.\nAnswer: 55560960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/5887232 and -115\/620736?\nAnswer: 936069888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 15, 4*r + 9*o = 8*o - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/4)\/(3\/(-8)). Suppose -s + 13 = 11. Suppose s*n = 7*n - 30. Calculate the highest common divisor of n and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 + 4*d + 1. Let j(t) = -t**2 - t. Let l(n) = -3*j(n) - m(n). Let k(g) = -4*g**2 - 3*g - 6. What is k(w) - 3*l(w)?\nAnswer: -w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2565910 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.069? (a) 0.3 (b) 4 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6 - (-33 + 23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -609 times 0.02?\nAnswer: -12.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2\/2 - 12*a - 90. What is r(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 862217*z**3 + 33466*z**3.\nAnswer: -828751*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5138 divided by -1\nAnswer: 5138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a04 (base 11) to base 14.\nAnswer: 62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 4. Let u = t - -43. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from admldvuv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 43*c - 154. Let i be b(4). What is d in -1\/5*d**3 - 13\/5*d + 6\/5 + 8\/5*d**i = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247 (base 10) to base 2.\nAnswer: 11110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 141. Is -33\/4 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260917*d - 2 = 260915*d - 4*r, -4*d + 4 = 18*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151111109?\nAnswer: 53, 2851153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -28, -0.5, -5\/4 in decreasing order.\nAnswer: -0.5, -5\/4, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987068 + 9*o - 987068.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028245038 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*r + 11*z + 74 = 214*r, 55 = 27*r + 3*z + 181 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 8*g - 45*g + 0*g**2.\nAnswer: -2*g**2 - 37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 0 (c) 41 (d) 46\/3 (e) -345 (f) 5 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1116 and 375162.\nAnswer: 2250972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1758 + 1788. Calculate the remainder when 46 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -3. Differentiate -1 - 2*w + q*w**2 + 2*w + 0*w**2 wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 274 = 6*i. Suppose n = 4*d - 2413, 0 = 4*d + n - 2677 + i. Suppose 4*q = 5*o + 563 + d, 894 = 3*q + 3*o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + (-16)\/(-40). Suppose t = -2*x + 4*c + 48, 6*c - 10 = 11*c. What is the remainder when 156 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*t - 6745, -6*r + 7*r = 3*t - 4057. List the prime factors of t.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u + 20. Let y be 18\/(-81) - 38\/(-9). Suppose 4*n - 8 = 0, -2*k - 48 = -y*k + 4*n. Calculate the remainder when k is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16438347.9us?\nAnswer: 0.00019025865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)\/o)**31)**42*((o\/((o*o**0)\/o))**(34\/5))**(-36) assuming o is positive.\nAnswer: o**(-3394\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2941231\/14 and -210089 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001844 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -700 and -22420720.1.\nAnswer: -22421420.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/9)\/((-14)\/(-42)). Factor 2\/3 + y*o + 2\/3*o**2.\nAnswer: 2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + p + 3*p - 3*p to the form d + x*p and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a*n**2 + 548023*a - 83042*n**2 wrt n.\nAnswer: -10*a*n - 166084*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -375*b**3 + 3*b**2 - 980 wrt b?\nAnswer: -1125*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151*l**2 + 2*l - 22 wrt l.\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -4*o - 26*k + 12, -3*o = -5*k - 25. Sort -11, o, -2 in descending order.\nAnswer: o, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 9*s - 45. Suppose -g = b + 5 - 0, s*b = -5. Sort 4, 7, g, 2 in ascending order.\nAnswer: g, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - 240.6. Let q = k - -242.99999986. Round q to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2165*w + 8664. Let s be p(-4). Let k = 0 - -2. Let h = 0.2 + -0.7. Which is the closest to -1\/3? (a) k (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from {h: 3, v: 2, w: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 360 (c) 1007 (d) -0.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.039.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide (-22307857)\/(-4576) - 1\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 9 - (1 - (2 - 0 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(20 - (24 + -26))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4064*h - 56904. Determine i(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -111 and -68 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.647 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 136, -332\/13, -2?\nAnswer: -332\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6 + (1 + 6 - 3)*(10 - 26 + 0))*(0 + 0 - 2*o).\nAnswer: 124*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = -3*t + a, -a = -4*t - 10. Suppose -5*p = -2*p + 9. Let j = p + 0. Which is bigger: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6 + 2. Let a = -4 - -6. What is the remainder when f is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14819 is divided by 14808?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8355480 - 15453880. What is g rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3778 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 6033.16966299.\nAnswer: 6030.16966299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 279*i + 275*i = -10, 2*p + 11 = 3*i. Let k = 153 - 45. Let w be (p\/(-3))\/((-1704)\/k). Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c, -5*w = -3*c - 0 - 6. Solve w*x = 5*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/5 + 38066*l = 0 for l.\nAnswer: -95165, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2. Let b be 38\/14 + 8\/28. Let s(y) = -b - y**2 - 2 + 5. Determine l(s(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Suppose r = -q + 5. Suppose g = 14 - 4. What is the highest common divisor of q and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 - 7*j - 2. Let p be g(-6). Is (-9)\/6*p\/21 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -5 (b) -0.07 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c*c**3)**21\/(((c\/(c**8*c))\/(c*c**(4\/11)))\/(c**(-2\/3))**(-24)) assuming c is positive.\nAnswer: c**(1203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 + t - 1. Suppose 19540 = -40*o + 19660. Give c(o).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 10 - 2. Let d be 1*(-2)\/(-1 - 0). Factor -2 + g**3 - g + 2 + g**f - g**d.\nAnswer: g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1967 + -1715. What is the greatest common divisor of p and 819?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 144. Let z(w) = -26*w**2. Determine x(z(k)).\nAnswer: -52*k**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnrr when four letters picked without replacement from {r: 7, n: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.0392\nAnswer: 0.00392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 3. Let m(d) = d - 3. Give -4*a(r) + 3*m(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 94 - 11*d**2 - 36 - 29.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 201 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153406 is divided by 179449?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 2*m**2 + m)*(-5 - m + 6*m + 4) to x*m**2 + a*m**3 + v + k*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54001.\nAnswer: 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6912 to two decimal places.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101103 is divided by 7254.\nAnswer: 6801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7607 divide 757571121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(-2 + 2*l + 2)*(2 + 1 - 4) to the form a + g*l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -116.\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 170612301.9 to the nearest 10000.\nAnswer: 170610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = -0, -4*s - 5*n = -10. Let i(k) = k**3 - k**2 + k - 1. Let t be i(1). Solve h - o = -5 - t, 5*o - s = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 285377 or 1997635\/7?\nAnswer: 285377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:04 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/36 + -29\/36. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322720003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 9*s - 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 4*y - 1. Let f be t(2). Let u = 29 + -64. Let w = 103\/3 + u. Which is the closest to w? (a) -3 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0 - sqrt(5)) + -5 - (4 + sqrt(10)\/sqrt(2)))**2 + -2.\nAnswer: 18*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023030112 (base 4) to base 12.\nAnswer: 12a29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -8, -1\/4, 3001\/21 in ascending order.\nAnswer: -8, -1\/4, 5, 7, 3001\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -293800.516 + -0.31\nAnswer: -293800.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-5) - 9\/(-2). Let p(x) be the first derivative of 0*x - 1 + s*x**2 + 0*x**3 + 0*x**4 - 1\/5*x**5. What is the second derivative of p(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z - 2*z + 0*z - 10*z - 11*z - 3*z + 2*z - 3*z + 0*z - 3*z - 3*z + 5*z + (0 + 0 - 1)*(6*z - 4*z - z) - 2*z + 2*z + 2*z.\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 + (-52)\/(-8). Is 24\/5 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 219098 times -4\nAnswer: -876392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6582367 is divided by 822788?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.837 to one dp.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -16?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 11*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2182*s - 1094*s - 1041*s.\nAnswer: 47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114464299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1622, 1624, 1638, 1670, 1726, 1812?\n\"Answer: z**3 - 5*z + 1626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 4 + 14. Calculate the greatest common factor of b and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5449087, 10898176, 16347265, 21796354, 27245443?\nAnswer: 32694532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-3 + 8 + (-41 - -27))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + 2*q**2 + 4*q - 17 + 3*q to the form m*q + s*q**2 + x and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8 - 329\/188)*(-1)\/35.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2\/(-3)*(-4 - 364\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6741*u**2 + 17*u + 14. Let k(f) = -2247*f**2 + 6*f + 5. Calculate -6*b(n) + 17*k(n).\nAnswer: 2247*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -83186235199\nAnswer: 83186235199.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -0.5, -8\/9, 0.3676?\nAnswer: 0.3676","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. What is the remainder when -3 + 0 + 0 + 9 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 84. Let b be s(-13). Solve 20*c = b*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 63*a**3 - 2*a**2 - a. Give z(-1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 13*b - 4358. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27042 * 1\nAnswer: 27042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7792 and 1340465552.\nAnswer: 7792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -60*a + 201. Let o(f) = -19*f + 66. Calculate -2*c(j) + 7*o(j).\nAnswer: -13*j + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9905493 to two decimal places.\nAnswer: 8.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 4042126.\nAnswer: 4042125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-30))\/((-1)\/4). What is the third smallest value in 2, -60, 4, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729*h**3 - 32803*h**2 - 368784*h + 1012.\nAnswer: -(h + 22)*(h + 23)*(729*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 43*w**2 + 7*w - 57. Is p(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*m**4 + 37*m**4 + 47*m**4 + 2*m**4 - 5*m**4 + m**4 - m**4 + m**3 - m**3 + (-m + 4*m - 2*m)*(4 - 2*m**3 - 4).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -316 (base 8) to base 12\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.049 - -7.351. Let f = -7 + w. Which is the closest to 1? (a) -2\/9 (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12243, -48156, -108011, -191808, -299547?\n\"Answer: -11971*x**2 - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314 + 321. Suppose w*q - 22 = -1. Solve -q*o = 2*o + 5*n + 25, -2*o = -3*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -87. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111.884 - -10.116. What is the nearest to t in -5, -2\/13, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 2345\/8 (c) 12 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(k\/k**(-1)))\/k)))**(-12))**2 assuming k is positive.\nAnswer: k**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -24*b**3 - b. Let z be -177 - (-7)\/(12 + -5). Let o = z + 175. What is y(o)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 3)*(5*g**4 - 6*g**3 - 3*g**4 + 4*g**3).\nAnswer: 14*g**4 - 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 - -273. Let j = -10886.35342 - -10779.353. Let n = w + j. What is n rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 = 15. What is the remainder when 39 is divided by (-18)\/p - 174\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -450 - -0.062652557.\nAnswer: -449.937347443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 6:18 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((66\/(-21))\/11)\/(1\/2))\/(37\/(-222))?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i + 20. Suppose -2*y = 3*y - i. Solve -y*m - 6 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88702 - 55700. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.553 and 6?\nAnswer: 31.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/2)\/((-4)\/8). Let r be (12\/l)\/((-3)\/10). Is (r\/(-10))\/(1\/(-85)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75.9 - 6.1. Let v = 92.1 + i. Is 1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*f**3*s + 16*f**3 + 42*f**2 + 5*f*s - s wrt s.\nAnswer: -29*f**3 + 5*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248492 is divided by 19106?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 4309?\nAnswer: -4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42093?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g*q**3 - 2551*g*q**2 + 2*g*q + 2798805*q**3 + q**2 - q + 3035 wrt q?\nAnswer: 18*g + 16792830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 1865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14305, -28698, -43115, -57568, -72069, -86630, -101263, -115980?\n\"Answer: -2*h**3 - 14379*h + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 62*i. Is w(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*w + 6 - 1, -5*p - 26 = -w. Let o(n) = n + 4. Calculate o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t + 12. Determine p(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*j - 3 - 4, -4*z - 5*j = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60a (base 14) to base 7\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-4))\/((-108)\/96))\/(230\/(-15))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 344757, 689512, 1034267, 1379022?\n\"Answer: 344755*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + f**3 - 74*f + 74*f. Calculate a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355031 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(((-36)\/21)\/((-234)\/(-28))))\/(27\/(-72))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 times -8\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274731*z**5 - 22*z**2 - 207*z + 141370?\nAnswer: 5494620*z**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m*m**10*m)\/m)\/(m*m**(-11)))\/(m\/(m*m\/m**5))**6)**(-26) assuming m is positive.\nAnswer: m**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express u + u**4 + 35*u**2 + 2*u**3 - 37*u**2 + 2*u - 2 as i*u**4 + x*u + h*u**3 + s + t*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -138947, -278098, -417249?\n\"Answer: -139151*i + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11358477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.16 + 342377932\nAnswer: 342377929.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*m - 156691, -6*h = -10*h + 2*m + 208956. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 29*q - 32*q = 49, -3*q = 4*f - 79. Let n = 1 - -1. Suppose y = 5*u - 40, -n*u - 4*y + f = -0*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9390186*l**3 - 3080847*l**2 wrt l?\nAnswer: -56341116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6786 divided by -6786.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(4 + -2)*4. Suppose h*o = o. Which is the third smallest value? (a) -0.5 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3 + 1 + d - 1. Let n be b(5). Suppose 3*a - 2*z = -6, n*a + a + 3*z + 6 = 0. Are a and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 20*f**2 + 51*f - 2. Let b be o(17). Let l = -20 + b. Sort l, -4, 5 in decreasing order.\nAnswer: 5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 2*w**2 + w + 1. Let o(r) = 1810*r**3 - 937*r**2 - 4*r - 4. Let k(t) = -4*l(t) - o(t). What is the third derivative of k(h) wrt h?\nAnswer: -10932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-56)*74727252744074\/(-8295). Let o = d + -965218979. Let u = 19\/395 - o. Find the common denominator of u and 19\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2467*h**2*l*q*t - 4*h**2*l*t**2 - 2*h**2*t + 42*h*l*t**2 - 54*q*t**2 + 3931*t**2 wrt q?\nAnswer: -2467*h**2*l*t - 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2106\/1209*(-26970)\/(-580)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6 + (-85)\/(-30). Suppose -3*c = h + a*h - 79, -4*c + 110 = 3*h. Suppose -4*z - 9 = -c. Which is greater: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27427 (base 9) in base 15?\nAnswer: -5784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5243 (base 6) to base 16\nAnswer: 49b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**5 - 413*q**2 - 106*q - 5?\nAnswer: 40*q**3 - 826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00191006 to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*w - 3*w - 9, -4*d - 3*w + 15 = 0. Suppose -2*x = -d*x + 60. Solve -5*q - 2*o = -3*o + 7, 5*q - 5*o + x = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-296)\/(-30) + 87 + 14 + -111?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 53*w**2 + 326*w - 53. Determine l(46).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8832459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.4 and -4.\nAnswer: 201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1148, 0, 4 in decreasing order.\nAnswer: 4, 0, -1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 586.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 91, 1, -3\/2, 86, -2, 0.5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 4, m: 1, p: 4, r: 1}. What is prob of picking 1 i, 1 r, and 1 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51071784?\nAnswer: 2, 3, 29, 73379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/((-21)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 469637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {y: 8, s: 1, a: 6}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 326443069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z = -3. Suppose 2*a = -z*a + 15. Let v(s) = -s**3 + 5*s**2 + 27*s - 117. Let n be v(6). What is the highest common divisor of n and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/50)\/(16056\/(-3345)*10\/(-64))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 4*c - 8. Let h(u) = u. Let n(o) = -4*h(o) - w(o). What is the lowest common multiple of n(4) and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4855 is divided by 753.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 2*sqrt(70) + sqrt(70))\/sqrt(5)*-1)\/(sqrt(77)\/(sqrt(176)*-2)).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4\/8 - 99*v**3\/4 + 408*v**2 + 99*v\/4 - 3267\/8 = 0. What is v?\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17337 + -554. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 14*f + 29. Calculate l(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 71 = 873. Suppose 5*v = f - 71. Suppose -6*d + v = -9. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1359812, -4, -2 in decreasing order.\nAnswer: 1359812, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and -13.7?\nAnswer: 917.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (19 + 37 + -41 - (0 + -5)) + -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f - 147 = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = z - 0*m - 10, -5*m + 40 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 448*w. Let x(q) = 16*q**2 - 106*q**2 + 69*q**2. Determine j(x(k)).\nAnswer: -9408*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 36*l**2 + 27*l. Let r(x) = -5*x**2 - 4*x. Let u be ((-45)\/(-10) + -3)*18. What is u*r(i) + 4*v(i)?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38033479*h**3*t + h**3 + 679*h**2*t - h**2 - 2572*h*t - 3 wrt h.\nAnswer: 228200874*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/21*((-801878)\/(-246))\/(-127).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146427 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 + 4*n\/5 + 6\/5.\nAnswer: -2*(n - 3)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 3845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6 - 7*u**2 + 8*u + 11 - 16 - u**3. Let x(j) = -j**3 - 13*j**2 + j + 5. Let f be x(-13). Calculate l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24955 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -7*s + 162 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = 27*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 3648\/144 + ((-8)\/(-14) - 377\/(-6825)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**5 + 2647*t**4 - 146214*t**3 - 2484967*t**2 + 4850818*t + 1365720 = 0.\nAnswer: -15, -1\/4, 2, 76, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 61*t - 119*t + 60*t. Let i be (2 + -3)*-1 + 1. Let b(f) = f**2 - 4*f**i - 14*f**2 - 6*f**2. Give b(c(g)).\nAnswer: -92*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 34 = -9. Let v(w) = w**3 + 3*w**2 - 9*w + 4. Let s be v(j). Let u(b) = -2. Let l(p) = -p + 1. Determine s*u(a) - 2*l(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -5 + (6 - 9) - -8) + 28.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 13621 - 19882 = -m, -2*m - 5*u + 66995 = 0. Round m to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 6*d - 4. Let b be u(-5). Is 0 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.37, -4, 20, 6\/13 in decreasing order.\nAnswer: 20, 6\/13, -0.37, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1077393 times -0.2?\nAnswer: 0.02154786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + -57. Let q = -92.98885 - f. What is q rounded to four decimal places?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1451185 + -2?\nAnswer: -1451187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 41875830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212814 and 945?\nAnswer: 1064070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 8*j**2 + 13*j + 52. Let s be m(-4). Is -18\/157 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10785)\/(0 - (-15 - -16))?\nAnswer: 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 + 2*n**3 - n**3)*(5*n + 0*n - 3*n) + 6246 + 610*n**4 - 6246 as p*n**4 + i + w*n + y*n**3 + c*n**2 and give p.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*i - 117, -5*l - 78 = -203769*i + 203772*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1108183 or 1108174?\nAnswer: 1108174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 8892 + 17812 - 8920.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81151, -324625, -730443, -1298617, -2029159, -2922081, -3977395?\nAnswer: -5195113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 6*t + t)*(0 - 3 + 5 - 2*t**2) in the form v + j*t + w*t**2 + o*t**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5323\/15 + 355. What is the third smallest value in b, 0.2, 3, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 3*a + 12, -2*a + 6*a - 23 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 395729361 divided by -27\nAnswer: -14656643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20792 - 14969. Which is smaller: t or 5825?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.073\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 21 - 4. Suppose 134 = -5*o - 91. Let m be (-6)\/4*10\/o. Which is the closest to m? (a) -0.4 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 2*n**2 + 2*n**2 + (-6 + 4 + 1 + (-4 - 5 + 7)*(-3 + 5 + 0))*(-16 + 16 - 5*n**3) in the form w*n + f*n**2 + l + i*n**3 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4076 is divided by 340?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -k + 2*z + z, -5*z + 9 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - -2 - (27 + (-15 - 24))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acmlt. What is prob of sequence mc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f + 0 - 1\/18*f**4 + 1\/18*f**5 - 1\/45*f**6 - 6*f**2 + 0*f**3 + 1\/315*f**7. Solve j(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyiviiyyiyiibyi. Give prob of picking 1 b and 1 y.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*h - 0*h. Solve -n + 2*t = h, 3 = 4*n + 3*t - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8466 divided by 34?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 38 = -27*o + 35*o. Which is the closest to 69? (a) o (b) 0.5 (c) 1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/15)*d**6 assuming d is positive.\nAnswer: d**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2475 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -u + 4*g, -1 = 2*g - 7. Let i = 0 + -8. Let s = -16789 + 16787. Sort 5, i, s, u.\nAnswer: i, u, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3817571 is divided by 224558?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 58, -16613.\nAnswer: -16613, -4, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220386.\nAnswer: 2, 3, 13, 19, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 655844 and 109917?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:13 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8 = -18. Suppose h*l - 4*k = 18, l = -0*l + 4*k + 3. Solve -j + 5*f = 2*j - l, -4*j - 9 = 3*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-128372)\/82548 - 1 - -1. Let d = v + -1\/2293. Calculate the common denominator of 109\/6 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8238237 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00081601 to five decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -673*a**2 + 49128*a + 52. Calculate v(73).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.1. Let d be -28 - -26 - -1*(-18)\/3. Let z be (-82)\/4 + 10 - d. Put s, z, 3\/10, -0.4 in ascending order.\nAnswer: z, -0.4, s, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(1*sqrt(7)) + 0.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p**2 - 12. Let g(s) be the third derivative of 17*s**5\/60 - 4*s**3 + 13*s**2. Let r(c) = 2*g(c) - 5*w(c). Differentiate r(v) with respect to v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -4*l**3\/3 - 3*l**2\/2 - l + 885. Let i(x) = x**2 + 7*x + 4. Let n be i(-6). Determine o(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z**2 - 17*z - 5. Let x(l) = 3*l**2 - 4*l - 1. What is 2*w(y) - 9*x(y)?\nAnswer: -3*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1811047 and -0.034.\nAnswer: -61575.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*l. Let s(n) = -n**3 + n**2 - 4*n - 5. Let k be s(-1). Put -3, l, 4, k in increasing order.\nAnswer: -3, k, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4161 - 4157. Solve 3*m - 43*f = -42*f, 0 = w*m + 5*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/1*4\/6. Let r(t) be the second derivative of t**3\/6 + 3*t**2\/2 + t. Let o(d) = -2. Let x(f) = u*r(f) - 3*o(f). Let p(y) = y. Determine p(x(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 9*l + 1046. Let x be v(25). Solve -x*p + 15*p = 38*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.3 and -1.4161011547.\nAnswer: -6.7161011547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 40, 88, 154, 238?\n\"Answer: 9*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 3. Let w(y) = 2*y - 1. Let p be w(-1). Let k be v(p). Let h be 2\/3 - 416\/(-96). Sort k, h, -0.06.\nAnswer: -0.06, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10944, -20763, -30584, -40407, -50232, -60059, -69888?\n\"Answer: -h**2 - 9816*h - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + 3*(sqrt(500) + sqrt(500)*4*5 + 2)*-2))**2.\nAnswer: 483840*sqrt(5) + 127010304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -2.8429?\nAnswer: -7.8429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let r be (1 + -1)\/(p - -1). Suppose i - 9 - 1 = r. What is the least common multiple of 14 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 850822 + -3111360. Let k = -4384844 - j. Let r = -1294306 - k. What is r rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - 4) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - -1. Let c = -0.1 - h. Let j = -2975 + 2978. What is the nearest to j in 1\/6, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 5\/24*w**4 + 1\/120*w**6 + 0 - 2*w**2 + 2\/15*w**5 + 0*w - 5\/6*w**3. Is 15 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*(-75)\/90*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-42)*42 + -12. Solve -2*x - 2 = d, n*x + 4 = -x + d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6725027 is divided by 1479?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -384 - -2924. Suppose -5*y + y = -v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*o = -74*o - 570*o + 1357*o - 48783 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150324 is divided by 624.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -30.26. Let c = 8 + -7.7. Let f = c + j. What is f rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5 = 16. Let i = 11\/12 - 53\/84. Which is the fourth smallest value? (a) 5\/4 (b) n (c) 5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754 = -3*a - 2*v + 4041, 2*v + 4 = 0. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/2)\/(1\/2). Suppose 3*d + 5 = -4, 5*d - n = -3*u. Let o = 18973 + -18932. What is the remainder when o is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/36 and 5\/21438.\nAnswer: 42876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-143 - (-8 - -4))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/13*10842\/(-2919)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:42 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -39334.4.\nAnswer: -39335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388 or -18289\/47?\nAnswer: -18289\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 125. Let m(a) = 6*a - 6. Let d(u) = 3*u - 1. Let f be d(2). Calculate the remainder when m(f) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 60 = -5*x. Suppose 2*d + 790135 = x*j - 8989871, 4*d - 6519988 = -2*j. What is j rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*u + 182*u = -100 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/498976 and -39\/22.\nAnswer: 5488736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 5. Let r be s(6). Let c be 1 + (-1 + 5)*r. Suppose c*i - 164 = 221. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (30 + -76)) + -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70888 divided by 6.\nAnswer: 35444\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13776638 is divided by 229.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 623.6 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 4*d - 11. Give r(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2606925 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a. Let o(j) be the first derivative of 7*j**3 + 10*j**2 + 1499. Give o(r(g)).\nAnswer: 189*g**2 + 60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + (-3957394)\/(-91) + (-8)\/(-52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237418559 less than -0.2?\nAnswer: -237418559.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 395\/9 - (189 - 146). Determine l so that -b*l + 0 + 2\/9*l**3 + 8\/9*l**4 - 32\/9*l**2 = 0.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 578 or 45672\/79?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {q: 1, p: 1, w: 4, d: 5}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 4. Let l be v(5). Let s = -3 + l. Suppose -1 = z - s. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 108800441039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 285*f**3*k**2*l**2 - 2*f**3*k**2*l + 2*f**3*l**2 + k**2*l - 1253*k*l wrt l.\nAnswer: 570*f**3*k**2 + 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278320081 or 278320080?\nAnswer: 278320080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -32. Let h be (3 + -3)*(d + -6). Solve 0*w + 4*u = -5*w - 7, -3*w + 3*u - 15 = h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1000101122212?\nAnswer: -1000101122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 40 = -18*m. Let g(z) = 29*z**2 - 9*z + 1. List the prime factors of g(m).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.27 - -0.17. Is 6 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18561 - -133860. Let m = i + -152560.9145. Let y = m + 140. Round y to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 29 = -q, 0 = 2*q + 3*q + p - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 6*y + 2*y**3 - 4 - y - 2*y in the form j*y**2 + c*y + d + s*y**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6298\/(-14571))\/(12\/(-19)). Let i = -4\/4857 - s. Let k = 2669\/36 - 317\/4. Calculate the common denominator of i and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5468, 22186, 50044, 89042, 139180?\nAnswer: 200458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 876\nAnswer: -8.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x**(1\/8))*x))\/x)\/x)**(-7\/4)*(x**(-8)*x)**(6\/7) assuming x is positive.\nAnswer: x**(-87\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*s - s - 2, -1 = z. Solve -s - 3 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273 + -270. Find the second derivative of 40*y**v + 162 - 169 - y + 0*y wrt y.\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -906, -863, -782, -657, -482, -251, 42, 403?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 36*s - 2\/5*s**3 - 205 - 21\/5*s**2. Factor r(o).\nAnswer: -6*(o - 3)*(o + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1304584.\nAnswer: 3913752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29137, -57981, -86825?\n\"Answer: -28844*i - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6146 + 2*a - 6146 - 32*a**2 to the form n*a**2 + j*a + o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -146\/33, -1\/14, -1.7?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -51\/2, -1, 0.4, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 37 - 15 - 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + (-12)\/9. Calculate the common denominator of -11 + 846\/(-216) - -19 and ((-2)\/(-84))\/(s\/(-151)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - j**3 + 9*j**3)*(3*j + 4*j - 5*j)*(-4*j + 5*j - 3*j).\nAnswer: -40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2166 by 361.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -70\/437, 3, 193\/3, -0.1, 8?\nAnswer: -70\/437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 10. Give s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -6, -12 in decreasing order.\nAnswer: 0, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 19 + 16*r + 23 - 14 as i*r + u and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 173504*n - 9011392.\nAnswer: -4*(n + 52)*(n + 43324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -145\/1719, -0.2, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5) + -4 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3425 (base 7) to base 8.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let q be (-1)\/((2 - 4)\/(-6)). Let v = q + 3. Solve v = -2*t - 3*t + 25, -4*b + 2*t + 6 = d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfpyy. What is prob of picking 3 y and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkrr when four letters picked without replacement from {r: 3, d: 2, k: 4, w: 8}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.4+-3292.1643\nAnswer: -3295.5643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 27. Let i be ((-2)\/(-4) - (-133)\/(-98))*y. Let q(n) = n**3 - 4*n**2 + 4*n + 1. Let v be q(3). Solve -i = v*d + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 55. Suppose -b = -3*c - 24 - 19, 4*b + o = -5*c. Let h = c + 7. Let x(s) = 9*s - 11. Let v(f) = 5*f - 6. Calculate h*x(l) + 11*v(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 43120?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - (-108)\/24. Suppose -m = d - 0. Which is the third biggest value? (a) 1 (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -2\/7, -15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20.40298 weeks?\nAnswer: 142.82086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 14) in base 2?\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/36 and -79\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469523504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112222 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2. Let v be q(1). Let g = v - -5. Let z be (-2)\/6 + 4\/6. Which is the closest to -2\/5? (a) z (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. Suppose 0 = -c*h + 7*l - 2*l, 3*l - 9 = 0. Solve 5*r = -0*s + 2*s, 2*s = -h*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/6 - 815*s**4\/2 + 2483*s**3\/3 + 88028*s**2\/3 - 52288*s - 626432\/3 = 0. What is s?\nAnswer: -2447, -8, -2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -92*n + 43*n. Solve 5*s = -n, 2*s = 2*z - 7*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -13 + (-3 - (-5 - 11)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from droajss. Give prob of picking 4 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpg when three letters picked without replacement from mmgpcg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-3*y + y - y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010110110110011 (base 2) in base 15?\nAnswer: -6a854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -0.11, 1.69703, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*c - 175*c = -382*c - 693*c - 27744 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrroorrlrot. Give prob of sequence rlto.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8132.79 and 26.\nAnswer: 211452.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 9*l + 3. Let c be b(9). Suppose c*j = 4 + 2. Suppose -280 = -5*y - 5*o, y = o + j*o + 48. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-250)\/(-56) + (-119 - -115). Is 0 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 27. What is the closest to a in 0, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from {e: 6, v: 4, b: 2, q: 3, u: 2}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, z: 2}. What is prob of sequence zrrz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 495.4098798 to two dps.\nAnswer: 495.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10323218 + 222817*s + 10323218.\nAnswer: 222817*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3224 + 4?\nAnswer: 3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:16 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -102336344 (base 7) to base 14\nAnswer: -b3a624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 156 + 76 + 80.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m + 217 = 898 + 561. What is the greatest common factor of m and 7302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**6\/120 - d**5\/60 + d**4\/3 + 7*d**3\/6 - d**2. Let p be m(-3). List the prime factors of p\/(111\/55 - 2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g**(-3))\/((g**(1\/3)*g)\/(g\/(g**(-2\/5)*g))) assuming g is positive.\nAnswer: g**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/9 - 1018*v\/3 + 3036 = 0.\nAnswer: 9, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*g**3 - 81*g**3 - 85*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 4, -16, 1 in descending order.\nAnswer: 4, 1, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h**2 - 5*h + 4. Let j(v) = 29*v**2 - 9*v + 7. Give 3*j(b) - 5*z(b).\nAnswer: 12*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*w**4 - 20*b - 226*w**4 wrt w?\nAnswer: 8*b*w**3 - 904*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59048?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + -2.5. Which is the smallest value? (a) y (b) -1\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 2, p: 2, h: 4, f: 3}. What is prob of picking 1 p and 1 f?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -1\/5, -37\/11, -406?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9099300 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0*w - 1 - w + 10. Let x = -30 + 37. Let j be n(x). Solve 0 = 4*b - 6*b + j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809.579366s in weeks?\nAnswer: 0.002992029375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*s + 10. Let b(p) = 2*p**2 - 2*p - 1. Let r be b(-1). Suppose 3 = 3*y + y + r*a, 4*y - s*a - 24 = 0. Solve y*u + 2*u - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6.11, -1\/9, 0.5, 1\/3, -17?\nAnswer: -6.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 + a - 3. Let n be t(-4). Let z = -1336 + 1341. Solve 3*s = -n, 2*u - 4*s = -z*s - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) 2 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 + 2*f - 46. Let d(c) = -7*c**2 - 215*c - 130. Let o(w) = -16*w**2 - 511*w - 303. Let a(m) = -19*d(m) + 8*o(m). What is -2*a(n) - 3*z(n)?\nAnswer: 2*n**2 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9982 rounded to one decimal place?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(1053) + sqrt(1053)) + -3)**2*-6 + (1*(sqrt(1053) + -1 + sqrt(1053) - sqrt(1053)) + -5)**2*6.\nAnswer: -151470 - 2268*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2747*n = -2733*n - 210 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 7*i + 6. Let q be o(6). Suppose -5*p - 22 + 142 = q. Suppose l = -3*l + p. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1932768 divided by -96\nAnswer: 20133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 580 - 550. What is the highest common factor of x and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1. Let w(m) = -2*m - 10. Give w(j) + 5*z(j).\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 498166.\nAnswer: 498166.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 659, -1, 2, -100, 0, 4 in descending order.\nAnswer: 659, 4, 3, 2, 0, -1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 123?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 119*y**3 - y**2 + 11*y - 10. What are the prime factors of g(4)?\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let i(x) = -x**2 + 4*x + 7. Let o(t) = t**2 - 3*t - 5. Let g(w) = -5*i(w) - 7*o(w). Calculate h(g(v)).\nAnswer: 4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13\/8, -4, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**7\/21 - 5*f**4\/12 - 6*f. What is the third derivative of r(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -671088 and 65?\nAnswer: -43620720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85 and 0.05889287.\nAnswer: -84.94110713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -792, -383, 100, 663, 1312?\n\"Answer: l**3 + 31*l**2 + 309*l - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 12. Suppose -y + 0*y = 0. Suppose 2*s = -y*r + 5*r - 2, 0 = 5*s - g*r - 33. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 3*g**2 - 2*g. Let j = -37 - -39. Suppose 3*c + 21 = 3*i, j*c = -3*i + 2*i - 2. Give z(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a8c (base 13) to base 8.\nAnswer: 30767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40413 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose -3*m + 7*q = 2*q + 3, n*m + 5*q = 23. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -197*c + 18721. Determine j(95).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 4 - 4)*(-1 - 2 + 5)*(-2*f - 6*f + 7*f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33169 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -294, -439, -584, -729?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 7*t**2 + 6*t - 38. Let z be y(7). What is the first derivative of -120 + 9*o**4 - 2*o**2 + 44 - 26*o**z + o**2 wrt o?\nAnswer: -68*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, 1025, 2067, 3101, 4127, 5145?\n\"Answer: -4*t**2 + 1062*t - 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10535932, 10535844, 10535756?\nAnswer: 10535668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 477\/5. Let u = -2.107 + -3.715. Let q = u - -0.822. Which is the nearest to 2? (a) 5 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1195)\/(-9) + 18\/81. Let y = -13 + c. Suppose 2*p + 2*p - y = 0. Calculate the greatest common divisor of 45 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*u + 109*u + 80*u - 4*u**3.\nAnswer: -4*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -2 - (-282 - -270)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41 times 14\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308 - -219 - (-5 - 64).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13330317953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 19 = -359. Let p = a + 68. What is the tens digit of (6\/(-15) - p)*10 + 101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/420 + 5*z**4\/56 + 4*z**3\/3 + 6*z**2 + 8*z. Factor a(c).\nAnswer: (c + 7)*(c + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -4.2. Let n = -79.78 - -74.78. Which is the smallest value? (a) 0.1 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331, 0.8, -48 in increasing order.\nAnswer: -48, 0.8, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1\/(-4))\/((-55)\/440). Solve 30 = -4*z + u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3904\/(-352) - -14 - (1 + (0 - -1))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -637, -634, -631, -628, -625?\n\"Answer: 3*c - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1\/2*451. Suppose 2*b = -q - 1793. Is (-4 + b)*(-4)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 16*j**2 - 13*j + 34. Let a be n(-15). Solve y - 3*h + 1 + a = 0, 3*y + 5*h - 13 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lieekks. What is prob of sequence lsk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 219, 508, 925, 1476, 2167?\nAnswer: 3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*m + 17520 + 8678, -2*m + 4*k = -13102. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Suppose -20 = -5*u, 4*u - u - 16 = -4*c. Sort -2\/33, -0.3, z, c in descending order.\nAnswer: c, -2\/33, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 9. Let m = -7 + j. Solve m*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -290. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (612\/48)\/(-17)*4\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + u - 2 + (3 - 4 + 3)*(-7*u - 18 + 18) - 3*u - u + 3*u - 101 - 152*u + 101.\nAnswer: -166*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from hahaa.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - (-175 - -49)) + -41.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.206945 rounded to two decimal places?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 - (-5 + 1). Let q(x) = 1 - x + 3*x - m*x. Determine q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzkkzzzkzkkzzkzzzz. What is prob of sequence zz?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15176264 (base 9) in base 12?\nAnswer: -2641094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -5 (c) -546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 0.524860639 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 37*z. Let d(b) = 5468*b. What is x(d(q))?\nAnswer: 202316*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20831.6 - -1322\nAnswer: 22153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001906 to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8839409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(297)\/sqrt(36))\/sqrt(3).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -43. Let u be (h + 371\/49)\/(2\/14). What is the highest common divisor of 32 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 - (7 + (-1 - 15) + 3).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-36)*(0\/(-3) + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 159, 352, 649, 1056, 1579, 2224?\n\"Answer: l**3 + 46*l**2 + 48*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.098 + -9.498. Let x = -7.93 - 0.07. Put -0.02, x, a in increasing order.\nAnswer: x, a, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/9 + 2*s**4\/9 - 2*s**3 - 2*s**2\/9 + 40*s\/9 - 8\/3 = 0 for s.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-seven fifths of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13153 + 13152. What is the closest to l in -27, 11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264269143 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:52 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0317 and 388.9.\nAnswer: -12.32813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 8:44 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 705 + 630 = 1025 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*i - 469 = -19*i + 506 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 19 = -4*n, 7*x = 11*x + 5*n + 7. Let v = 31 - 30.8. Which is the third biggest value? (a) v (b) -1\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 2. Let w = 0 + -2. Let d be r(w). What is the highest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2005, 2010, 2015, 2020, 2025?\n\"Answer: 5*s + 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.5, 18643, 0.25?\nAnswer: 18643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41231323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**7\/504 + t**6\/144 + t**5\/12 + t**4\/4 - 8*t. Let s(w) be the third derivative of i(w). Factor s(b).\nAnswer: -5*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -30020233?\nAnswer: 30020302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426000 rounded to the nearest 10000?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3 = 3*h, -7*f - 2 + 37 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -27, -3, 5, -37, 0.051.\nAnswer: -37, -27, -3, -0.5, 0.051, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401938155.\nAnswer: 5, 29, 9668539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -1\/50*y**6 + 0*y + 0*y**3 - 2*y**2 - 1\/840*y**8 + 2\/75*y**5 + 4\/525*y**7 - 1\/60*y**4 + 0. Factor h(l).\nAnswer: -2*l*(l - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 19. Let l be w(9). Is ((-395)\/l)\/((-2)\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 - 2. Let j(q) = 2846*q**3 - 13*q**2 - q - 12. Determine j(o) - 6*t(o).\nAnswer: 2840*o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1440 and 1486880?\nAnswer: 13381920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 182, 359, 536?\n\"Answer: 177*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.18189 days to microseconds.\nAnswer: 1398115296000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.6304\nAnswer: -3.7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 - 5*w + 11*w)*(w - 8 + 8).\nAnswer: 6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -42*a**3 + 8*a**2 - 11*a + 10. Let l(y) = -y**2 + y - 1. Let q(n) = -j(n) - 6*l(n). Let t be 9\/(-2)*68\/1071*-7. Is q(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = a - 4*a + 5*x, -8 = 2*x. Calculate the least common multiple of a and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2258147628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**4\/24 - q**3\/2 - 5*q**2. Calculate the lowest common multiple of z(-7) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 998183, 1996369, 2994555?\n\"Answer: 998186*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -17220 and -17223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.5, 98358\/5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 4*k + 9. Let o(b) = 4*b - 33. Let y be o(10). What is s(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -429469303 from -5.\nAnswer: 429469298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 506130?\nAnswer: 506130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16922 + 320*y + 16921 + 76*y - 33843.\nAnswer: 396*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 14*s + 20*s + 5.\nAnswer: 13*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 10*c)*(-3*c**2 - c**2 + c**2).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 - 54552*o**2 - 109116*o - 54560 = 0. Calculate o.\nAnswer: -1, 13640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 44\/(-16))*(8 - (-426)\/(-54))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-3) - (1 + -3)\/1. Suppose 0 = 2*i - 6, -v + 30 + 35 = a*i. Let x = -28 + v. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g**4 + 0*g**3 + 0*g + 2\/5*g**5 - 2 - g**2. Find the second derivative of k(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z - 1. Let h be u(1). Let l be (-2)\/h*(-2)\/4. Let p = 5.3 - 5.3. Which is the closest to p? (a) l (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -z + 4*t, 186 = 7*z - 4*z + 6*t. Solve 4*f + 2*n = 6, z*n = 4*f + 63*n - 21 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -39*i - 6. Let c(a) = -2*a + 1. Let p(o) = -5*c(o) - d(o). Let f(k) = -2*k**2. Determine f(p(g)).\nAnswer: -4802*g**2 - 196*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 - 2*d. Let t(m) = 11*m**2 - 5*m. Let p(w) = 5*f(w) - 2*t(w). Suppose -3*s = -9*s + 282. Let v(u) = 25*u - 47 - 17*u + s. Determine v(p(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11348225 divided by 2269645.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1192\/17 and -42 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-549)\/(-45) + (-2)\/10. What is the greatest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(3\/4)*y))**(-2\/9)\/(y**(24\/5)*y**(-26)*y) assuming y is positive.\nAnswer: y**(1823\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1568, -12741, -43076, -102155, -199560, -344873, -547676?\nAnswer: -817551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280.1 + 285.1. Put o, -0.01, -1.6 in ascending order.\nAnswer: -1.6, -0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 32*f + 520.\nAnswer: -2*(f - 26)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*2)\/((-24)\/636). Let q = 74 - v. Calculate the remainder when 83 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39, -57, -45, 3, 93, 231?\n\"Answer: j**3 + 9*j**2 - 52*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-8 - -5 - (-4 + 2))) + 40 + -1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -0.2 (c) 0.1 (d) 5\/18 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 2, 5, 0.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**3 - 788*k**2 + 43424*k - 440128 = 0.\nAnswer: 13, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + 4. Suppose 2*k = -0*m + 3*m + 82, 0 = -m + 2*k - 30. Let y = m + 33. Calculate the remainder when y is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6 + 0 - 3*l - 27. Let z(a) = -8*a - 60. Let m(p) = -17*t(p) + 6*z(p). Calculate m(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345701971 to the power of 1\/2, to the nearest integer?\nAnswer: 18593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (187\/255 + 28\/(-5) + 5)\/(306\/54)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31482*i**3 + 60*i**2 - 39473722*i - 2?\nAnswer: 188892*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 415\/(-40) + 2\/(-2) and -19\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9580 and 2.\nAnswer: 9580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r - 18. Let g = r - 20. Calculate the remainder when 44 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 11*q**2 + 3*q - 3. Let o be s(-6). Suppose 3*n + 0*n = o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 81\/10 + 2 and (-9*(-2)\/(-60))\/((-6)\/(-71))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/5)*((h*h**(-2))\/h)\/h)**35)**28)**(-26) assuming h is positive.\nAnswer: h**81536","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6515003900 rounded to the nearest one million?\nAnswer: -6515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540675.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let z(m) be the first derivative of -1\/2*m**2 - 3 - 3*m. What is z(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - l**2)*(38*l**3 - 18*l**3 + 16*l**3).\nAnswer: -36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.45 + -41.55. Let r = a - -41.929. Let t = -0.07100116 - r. Round t to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -4, -0.131, 4\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 + -0.03. Let h = 126 - 507\/4. Which is the smallest value? (a) d (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 16*h + 8. Let u be k(4). Suppose 5*i - 3 = u. Solve -3*r = 2*r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 15268bb7?\nAnswer: -15268bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*l + 8, 0 = -3*l - 3*n - 0*n + 6. Let i be 1*(l\/(-1) + 10). Calculate the greatest common divisor of 21 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -4*d**3\/3 - 25*d**2\/2 - 21*d - 14. Let k(s) = 6*s**2 + 38*s + 32. Let r(l) = 5*k(l) + 8*u(l). Find b, given that r(b) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 6*c + 2*c**2 - 4*c + 5*c.\nAnswer: 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 1:01 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:48 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -651340*x**2 + 773234 wrt x.\nAnswer: -1302680*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let k(b) = -b**2 + b - 1. Let v be k(0). Let h be d(v). Let o(u) = -9*u - 2. Let j(l) = 17*l + 3. Let q(m) = 3*j(m) + 5*o(m). Give q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*r - 4, 0*r - 3*r + 24 = -3*f. Put f, -3, 3 in descending order.\nAnswer: 3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x**3 - 114*x**2 - 21*x - 18. Let b be a(-8). Solve 36 = -7*n + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 66*g = -77 - 348 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9689 and -24.\nAnswer: -232536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81\/189 + (-4628)\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15609.28 to the nearest 10.\nAnswer: 15610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/7 - 306*j\/7 - 305\/7 = 0. Calculate j.\nAnswer: -305, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 16*l**2 + 14*l - 9. Let r be n(-12). Let b be (1 + r)\/((-16)\/(-1880)). Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472689*i**4 + 17*i**3 - 4411741*i wrt i.\nAnswer: 5672268*i**2 + 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76680227.\nAnswer: 13, 67, 88037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrqrqcccwycce. What is prob of picking 1 c, 1 q, 1 e, and 1 r?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -286, -1987, -6558, -15421, -29998, -51711?\n\"Answer: -237*i**3 - 13*i**2 - 3*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a8 - 80b15?\nAnswer: -80bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -1\/60*y**5 - 1\/3*y**3 + 0 + 0*y + 1\/24*y**4 - 10*y**2. Let u be -1*(-1 + (-1)\/(-1)). Determine w(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2. Let k(r) = 476770*r. Calculate k(x(q)).\nAnswer: -953540*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 1, s: 1, b: 2}. What is prob of picking 2 b and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -148758 at least -148762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 734185351 divided by 6\nAnswer: 734185351\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1270*w**2 - 1273*w**2 + 115 + 2*w**3 + 2556*w**2 to the form z*w**3 + r*w**2 + m + y*w and give m.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*y**4 + 1284291*y**3 - y**2 + 176544752*y?\nAnswer: -144*y**2 + 7705746*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 0, 0 = -h - 0*h + i - 28. Let z be (1 + -1 + 24)*(-16)\/h. What are the prime factors of z - (-6)\/(-10)*5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 7. What are the prime factors of ((-6)\/7)\/(d\/(-49))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673, -677, -683, -691, -701, -713, -727?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (980\/84)\/((-15)\/18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7858 - 6916. What is the remainder when u is divided by 192?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.437573ns to seconds.\nAnswer: 0.000000007437573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32775.68 kilometers in micrometers?\nAnswer: 32775680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.384 - 3.034. Let p = -2.45 - t. Let w = 209 - 1466\/7. Which is the second smallest value? (a) w (b) p (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 9*u**2 + 2. Let m be v(-9). Find the common denominator of 41\/4 and (m - -26 - -2) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*h + 8 + 4 = 0, 4*h = 12. Let f(x) = -150369*x**3 - 12*x + 1. Let z be f(t). Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1434 (base 7) to base 5\nAnswer: -4224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3592477 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-3) + -13)*-5. Suppose 0 = 5*o - 7 - 13, 4*o = -3*r + y. Factor r*j**3 - 2*j**2 - 12*j**3 - 9*j**3 - 4*j.\nAnswer: 2*j*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(378\/(-119)) + -3 + 6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 65680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/11 + 358924*a**2\/11 + 5024570*a\/11 + 4665648\/11 = 0.\nAnswer: -179448, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 4, -2, -10, -20, -32, -46?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - -100) + (-11 - 37).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14 = 3*u. Let d be 64\/28 + 4\/u. Solve w = 2*r + r + 18, 4*r + 14 = -d*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*w + 6 = 0, 88*w = 3*j + 92*w - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 14) to base 15\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -35*m - 253. What is d(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 9*j**2 + 8*j + 1. Let i be u(8). Let d be 2*i\/4*2. Let w(b) = 33*b**2 - b - 1. Is w(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**8\/168 + 113*z**7\/420 + 169*z**6\/60 - 333*z**5\/20 - 135*z**4\/2 - 225*z**3\/4 + 5*z**2 - 89*z. Solve a(c) = 0.\nAnswer: -15, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-21*(-9)\/(-630))\/(((-192)\/110)\/1) and -13\/1496.\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:43 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671652?\nAnswer: 2, 17, 101, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 2. Let j be ((-4)\/2)\/((-2)\/(-1)). Let d(i) = i**3 + i**2 + i - 1. Let f be 0 + (-12)\/(-2) - 0. Suppose -3*y + f*y = 6. Give j*c(t) + y*d(t).\nAnswer: 2*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 145*k - 270 = 0. Calculate k.\nAnswer: -27, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5769 is divided by 2871?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -3*g, 0 = -3*n + 2*g - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 1\/20*t**5 - 1\/14*t**3 + 0*t**2 - 1\/12*t**4 + 1\/70*t**6 + 20*t + 0. Determine o so that j(o) = 0.\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-2 - 6\/9). Suppose 0 = -r - l, -r = -2*r - 5*l - w. Let a = -34 - -34. Solve 5*y - r*p - 13 = 0, -y + a*p + 8 = p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 10:03 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10521*i**2 - 7850*i + 697297306 wrt i?\nAnswer: 21042*i - 7850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 3*i - 4*i)*(-4*i**2 + 0*i**2 + 2*i**2) + (4*i + 40*i + 23*i)*(2*i**2 - 4*i**2 + 3*i**2) to the form h*i**3 + d*i**2 + q*i + k and give h.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528994.71ms to hours.\nAnswer: 0.146942975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 + 158 - 311 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + r + 1. Let b(p) = -146*p**2 - 219*p - 219. Let d(l) = b(l) + 219*o(l). Let t(u) = 761109*u - 32*u**2 - 761109*u + 30*u**2. Calculate d(t(k)).\nAnswer: 292*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (-2 - -1)*-3 + 0\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from sssbssnus?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*k - 16483432, 603704 = k + 2*w + 8845388. What is k rounded to the nearest 10000?\nAnswer: -8240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (22\/21 - (-12)\/180*25).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21)*f*f**(16\/7)\/f*f)\/(((f\/f**(-1\/19))\/f)\/(f*f**(-16)\/f)) assuming f is positive.\nAnswer: f**(-4491\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3662 + 18139 = 43*f. Is f > 497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-61)\/9 - (-53 - -46)) + (-2475)\/324 and 82\/20355.\nAnswer: 81420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43483 - -66553. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-20 - -20) + -4 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-11)*w)\/w)\/w*w**17)\/(w**(-2\/15)\/w**(2\/47)) assuming w is positive.\nAnswer: w**(4354\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 5. Let u be z(-4). Let a(h) = h**3 + 2*h**2 - 7*h - 5. Let o be a(-3). Suppose -2 - 3 = -k. Put o, u, k in decreasing order.\nAnswer: o, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553845?\nAnswer: 5, 263, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r - 67. Let v be a(-9). Solve 5*m - 6*m + 2*j - 2 = 0, -3*j + 17 = -v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435386 is divided by 5309?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 705*l**2\/4 - 6774339*l\/4 - 28827\/2 = 0. Calculate l.\nAnswer: -2\/235, 9609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -816, -2699, -6348, -12351?\nAnswer: -21296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 193171266*s - 27986353506032067.\nAnswer: -(s + 289756899)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -5, 0, 17 in increasing order.\nAnswer: -5, 0, 17, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*i = 3*i + 2, 4*r - 3*i - 25 = 0. Suppose 2*z - 8*o - 242 = -r*o, 4*z - 2*o = 460. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (14 - 1) - (-4 + (34 - 119))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + g + 4*g + 0*g + 4*g - 5*g - g + g - 2*g + (-1 + 2 - 3)*(2*g + 4 - 4) - g + g - g - g + g - g + 4*g + 12 - 12 - 5 + 2*g + 38 + 2.\nAnswer: -2*g + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 9:57 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 454*o - 23030. What is n(-137)?\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336187.\nAnswer: 227, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iueduwk. Give prob of sequence kui.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/2)\/z**(-2\/7)*(z*(z*z**(2\/9))\/z*z)**(17\/2))**22)**(2\/115) assuming z is positive.\nAnswer: z**(46222\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3574288183 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-25)\/15)*(-8)\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yszs when four letters picked without replacement from ssssssgssgsgsyyzgsf?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/15*-1*5. Suppose 24*q = 26*q. Suppose d + 83 - 139 = q. What is the highest common divisor of d and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 6*i + 3. Let n(a) = 4*a**2 + 6*a + 2. Let h(w) = 4*n(w) - 5*r(w). Is 12 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -1 - (-3 + 2 - (-8 + -6) - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -34b?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 + 10212100?\nAnswer: 10210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -534524 by -6.\nAnswer: 267262\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 43*c**2 + 4*c + 43. Let l(b) = -52*b**2 - 5*b - 43. What is 4*l(u) + 5*r(u)?\nAnswer: 7*u**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/17850 and 46\/255.\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -1 - (-92)\/4. Let g = b + -12. Let l be (-9)\/45 - g\/(-10). Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + ((-22306)\/(-931))\/(0 + -6). Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + (-203)\/(-21). Let z = -8 + l. Suppose z*a - 16 = -0. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4 - 5*u - 5 - 4 + u**2 + 5. Suppose -12 = -c + 3*f - 0, f = 3*c - 20. Let p be a(c). Put -0.1, -3, p in descending order.\nAnswer: -0.1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 6*m**2 + 2*m + 6. Give v(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + z + 7 + 0*z**2 + 0*z**3 - 5*z**2 + 0*z**2. Let i be j(-5). Let c(a) = -2*a**2 - a**2 + 2*a**i - 3*a - 3. Give c(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 + 4*j**3 - 11*j**3 + 2.\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -17. Let b = n + 37. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033842178 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from terxrrarrekxe. Give prob of sequence eet.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69969 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2\/(-12)*-4*141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + ((-21)\/(-3) - 4)*521. Put o, -4, 5 in increasing order.\nAnswer: -4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - k - 2*k + (96 - 54 + 110)*(-1 + 1 + k + (5 - 2 - 5)*(3*k + 0*k - k) - 1 + 1 + 2*k) in the form s + a*k and give a.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = -5*f. Let k be (f\/(-2))\/5*0. Suppose 0 = -k*o + o - 1. Is 4\/5 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8*u + 6 = 0. Is 12 a factor of (74\/(-6))\/(u\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/18 and -73\/12948.\nAnswer: 38844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -4\/3, 4\/7, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 700538614483?\nAnswer: 700538614478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 1 = -11. Let a = -15 - -9. Let d = 9 + a. Solve -v = d*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 1. Let r = 3 - 3.2. Which is the biggest value? (a) 0.4 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -61, -4 in decreasing order.\nAnswer: -4, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.77 + -1.03. Let s = 12.893 + n. Let x = 0.0929949 - s. What is x rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*(sqrt(539) + -1))**2 + 2 - (-5 + 3*(-1 + sqrt(539)) + 3)**2)*2.\nAnswer: -5418 + 588*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 + 154 + 190*j)*(3 + 2 - 1)*(4*j**2 + j**2 - 4*j**2).\nAnswer: 760*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1379 + 567*b - 417 - 6*b - 24*b wrt b?\nAnswer: 537","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let y(c) = 6*c - 1534 + 1534. Suppose -3*v - 15 = 2*v. Let j(o) = v*f(o) - y(o). What is j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3 - 5*b**2\/2 - b - 2. Let s be q(5). Is 3 - (s - (0 + 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - (-4 - -6)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/12 + 11*o**3\/3 - 37*o**2\/2 - 13*o. Let p be v(19). Let z = -17 + p. Which is greater: z or 8\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, a: 11}. Give prob of sequence aata.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2898 + 11529\/4. Let b = -18023\/8 + 2264. What is the common denominator of b and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 16) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n - 30*n - 16*n)*(-n + 5*n - n) - 1 + 1 - 3*n**2 - 7*n**2 + 3*n**2 + 3*n**2 as l*n**2 + q + a*n and give l.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144288 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.8587 or 147?\nAnswer: 3.8587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-8 - -8) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.71632 - -725.25632. Let l = -62 - 673. Let g = z + l. What is g rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222794 is divided by 7679.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from jnz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 6*w**2 - 5*w - 3. Let s be c(6). Suppose -541 = -7326*q + 7380*q - 1675. Calculate the highest common factor of s and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003301 rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + (-3)\/(6\/(-4)). Let m = -3 + s. Calculate the lowest common multiple of m and 21\/15 + 15\/25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/((-80)\/(-24))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 558704 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-10)*(108240\/(-861))\/80?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*r*x**3 + 39*m*r - 9*m*x**2 + 4*x**3 + 2 wrt r.\nAnswer: -m*x**3 + 39*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161.2 - -161. What is the nearest to 1 in -0.1, -2, 2.8, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 4*u - 45. Let r be k(5). Solve -r*o + 7*o - 31 = -5*q, 4*q = 5*o + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83078 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88297*a*l**2*x + 2*a*x + l**2*x - 2*l**2 + 5587*l*x + 2*x wrt a.\nAnswer: -88297*l**2*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -2.7. Let s = 4.1 - k. Let z = s + 3.9. Put -0.4, z, 3 in ascending order.\nAnswer: -0.4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -69*m**2 - 14*m + 115. Let c be x(5). What is c rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 19. Let p(f) = -f**3 - 4*f**2 + 135*f + 2. Let u be p(-14). Let g be n\/204 + u\/34. Solve g*t - 3*x + 6*x = 9, -11 = 2*t - x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1036 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -483, -0.5, 36.5216 in decreasing order.\nAnswer: 36.5216, -0.5, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 64. Let l be 1\/(-3) - (-5)\/24. What is the closest to 0 in b, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 1, 5388, 0 in descending order.\nAnswer: 5388, 1, 0, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -950\/7. Let s = 236 + -3072\/13. Let j = -6\/65 + s. What is the closest to 0.1 in j, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 372687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 193073610, 386147221, 579220832?\n\"Answer: 193073611*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (16\/((-3392)\/(-159)))\/(((-18)\/33)\/2)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q + 5*j - 22, 20 = 3*q - 2*j. Is 2858\/4 - 4*3\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.052? (a) 1171 (b) -3 (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*u*y**3 - 1602*u*y**2 + 33*u*y - 15*u + 742*y**3 - 42512*y wrt u.\nAnswer: 3*y**3 - 1602*y**2 + 33*y - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/11)\/(f\/(f*f**(-4)))*(f**0)**15 assuming f is positive.\nAnswer: f**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 525264925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15250205857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 11*x - 11. Let j(f) = -f**2 - 2*f + 3. Let l be j(3). Let r be w(l). Find the first derivative of 3 - 4*d - r - 3 - 1 wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus -9947944.8621?\nAnswer: 9947929.8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3884, 6481, 6500, 2651, -6356?\nAnswer: -21811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-1809)\/54)\/(1\/(-6)))\/(3*9\/(-18))\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -2. Let y = -4.99 + -0.01. Let n = y - -6. Which is the closest to n? (a) j (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1201, -2640, -4837, -8170, -13017?\n\"Answer: -63*p**3 - p**2 - 995*p - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 185078481?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -348.2 - -291. Let p = 57.2 + m. Let a = -1442\/11 + 131. Put p, -2, -0.2, a in descending order.\nAnswer: p, a, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8627 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -2)*(-4)\/8. Let j(w) = w**2 - 4. Calculate j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 71*r + 1194. Calculate n(25).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (4 - 2))\/((-7)\/(-14)). Let l(t) = 2*t**3 - 6*t**2 + 2*t - 3. What is l(p)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 814.5755l in millilitres?\nAnswer: 814575.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*q + 12. Let w be ((-10)\/8)\/5 + 0\/(-11). What is the third smallest value in 4, -0.4, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 9*f**2 - 22*f + 9. Let j be m(-11). Differentiate 3*v - 6 - j + 4*v - 22*v with respect to v.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (3 - (-2 - -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 2:37 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {o: 1, n: 4, a: 7, i: 1, e: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -2, -288, -5?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 2 + -5 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*k**2 - 544*k + 418*k**2 + 542*k as y*k + h*k**2 + t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -37*v**3 + 13*v + 13. Let r(o) = 18*o**3 - 6*o - 6. Determine -6*p(h) - 13*r(h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + -1111001?\nAnswer: -10010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 694880 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*m + 73. Solve -2*o - 4*g + m = -3, 0 = -o + g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15708?\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 33*d**2 + 32*d. Let l = -75 - -77. Let o(s) = -27*s - 9 + 9 - 70*s - 100*s**l. Let x(r) = 3*o(r) + 8*y(r). Find the second derivative of x(j) wrt j.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 61*u**2 + 58*u**2 - 23*u**2 + 19*u**2.\nAnswer: 115*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(4\/3)*z**(-2\/27)*z*(z\/(z**(1\/2)\/z))**(-1\/15)*((z\/(z*z**(5\/6)*z))\/(z\/(z*z**(3\/2))))**(-4) assuming z is positive.\nAnswer: z**(493\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q - 1. Let t(w) be the first derivative of w**2\/2 - 3. Let i(d) = 4*t(d) - z(d). Is i(-6) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b26 (base 15) to base 13\nAnswer: bb86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3)\/(14\/3 + -4). Suppose 3*t - 12 = -f + 4, -2*f = d*t - 20. Is -1 + t - (-437 + -14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24415209 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - m + 56. Determine d(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 - 2*u**3 + 0*u**3)*(3 - 2 + 0) + (-2*u - 3*u + 6*u)*(-5*u - u**2 + 5*u) to r + s*u**2 + f*u**3 + n*u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6083754.\nAnswer: 2, 3, 197, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3))**(2\/9) assuming p is positive.\nAnswer: p**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, n: 2, l: 4}. What is prob of picking 1 l, 1 n, and 2 w?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1950 and 49.\nAnswer: -95550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 3*v**2 - 1. Let d be w(-5). Suppose -52*q = -d*q - 15. Solve 3*x + q*s = -13, -6*x - s = -2*x - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + i**3 - 1 + 8 - i**2 to v*i**3 + p*i + f + x*i**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) 5 (c) -0.069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 70.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*u**2 - 1\/7*u**3 - 1\/7*u**4 + 0 + 1\/7*u = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/191268 and 26\/7105.\nAnswer: 194137020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*1*-5)\/(-1*sqrt(6)*5))**2*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78)\/(-260) - (-33)\/(-60). Which is the nearest to -2? (a) 4 (b) -1 (c) z (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*h - 2 = 301*h - 2*t, -11 = 3*h - t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + n - 158 + 39 to the form q + x*n and give q.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -351*a - 1126. Determine f(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -2, 0.3, -81.2, 0.1?\nAnswer: -81.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -401\/152 or -3?\nAnswer: -401\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1. Let d(t) = -2*t**2 + 5. Let q(o) = d(o) - 5*y(o). Let h(x) = -10*x. What is h(q(l))?\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286782935 to the power of 1\/3, to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3857734 (base 9) in base 16?\nAnswer: -201f85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 15. Let x = a - 10.99. Let g = x + -0.11. What is the closest to -1 in 0, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-30)\/24 + 5*100. Let n = -476 + b. Which is smaller: -3\/2 or n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/13 + 62*c**2\/13 - 352*c\/13 + 288\/13.\nAnswer: 2*(c - 4)*(c - 1)*(c + 36)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2*(5 + -8)\/6. Solve v = 2*s - s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93327879 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6812762 is divided by 130.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**1))**(-12\/13))**(2\/131) assuming j is positive.\nAnswer: j**(-24\/1703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c + 4 + 0*c - 3*c + 8*c. Let z(l) = 2*l - 6. Let h(q) = -6*a(q) - 5*z(q). Give h(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 7063?\nAnswer: -7068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from cjiiccjiccijjbcdjic.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q = 2028 + 4572. Which is the second smallest value? (a) 3 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 18*u - 3*u - 136, 29*u - 25*u - 24 = 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(100)\/sqrt(50))\/(sqrt(30)\/sqrt(3)*1))**2.\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34651 times -1?\nAnswer: -34651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 5, m: 6, a: 7}. What is prob of picking 3 a and 1 h?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 5*z**6\/144 + 17*z**4\/24 + 14*z**2. Let y(w) be the second derivative of d(w). Let x(r) = -r**2. Calculate x(y(h)).\nAnswer: -625*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:51 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (6 - (-2 + 3)) - 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 17, -2, 2, -17, -3 in decreasing order.\nAnswer: 17, 2, -2, -3, -17, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5241\/(-9936)*-2 + (-20)\/(-90). Let k = -2497\/4600 - c. Find the common denominator of k and -25\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1933, 1951, 1967, 1981?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -13 - 6) + (4 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005231 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -21. Let s be (-3 - 24\/i)\/(2\/(-12)). Solve -s*j = -6, -3*j - 13 = p - 8*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 6*o - 5. Let b = -4 + 4. Suppose 5*f - 28 = 4*y, b = y + 3*f - 0 + 7. What is the units digit of d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + 5 + 8*r**2 - r + 3*r**2 + r**3 - 13*r**2 in the form u*r**2 + y*r + f*r**3 + g*r**4 + j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 33949*h. Let f(d) = 2*d**2. Determine r(f(a)).\nAnswer: 67898*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14776365 is divided by 5887.\nAnswer: 5882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8728\/(-13074) + 2\/3. Let q = 272351\/26148 - l. Calculate the common denominator of 3\/(-21) - (-1956)\/(-1008) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175413890 plus -75.1?\nAnswer: -175413965.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-57))\/((-3)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 6*b**2 - 8. Suppose 72*h + 30 = 67*h. Calculate j(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 20. Solve -4*r + 5*r + 15 = 5*p, -y*r + 3 = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5601967 and 651.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r - 576 + 3058 = 0 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6277745 less than -23555?\nAnswer: -6301300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0, -6, 1 in descending order.\nAnswer: 1, 0, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than -9.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -17*u - 13. Suppose 19 = -3*t + 1. Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -7, 0.99, -2?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17532*l**2 + 339699.\nAnswer: 35064*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 7*f**2 - 6*f + 1. Let h be c(-6). Let x(n) = -n**2 + 6*n + 21. Let z be x(8). Sort z, h, 2 in decreasing order.\nAnswer: z, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnssxbpbsssshshps. Give prob of picking 2 b.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(1995\/12))\/(6\/((-23)\/((-391)\/(-85)))).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 508640 and -6.2?\nAnswer: -3153568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = g. Let x(o) = -2*o**2 + 22*o + 42. Calculate the smallest common multiple of x(12) and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**2 - 10*c**3 - 12*c**3 - 5*c**5 - 7*c + 4*c - 18*c**4 + 2 + 6*c.\nAnswer: -(c + 1)**4*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4484 divided by -1.\nAnswer: -4484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*c - 2. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3443?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 1\/5 (c) -11 (d) -0.5 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 1 f when three letters picked without replacement from aaabfbb?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 3*j**2 + 4*j**2 + 55 + 12*j + 16*j - j**4 - 30*j to the form b*j**3 + i*j + k*j**2 + v*j**4 + f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -57.\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 984 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g + g**2 - 9*g + 16. What are the prime factors of b(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiyyyiyihyyihyyyh. What is prob of sequence ih?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17040, 68163, 153370, 272661?\n\"Answer: 17042*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 268868527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/5, -3\/5, -2\/3185, -0.9 in descending order.\nAnswer: 4\/5, -2\/3185, -0.2, -3\/5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27882644.87+6.3\nAnswer: -27882638.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -651 + 95c?\nAnswer: 30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 - 2*j - 2. Let x(i) = -6*i + 7. Calculate -4*d(w) - x(w).\nAnswer: 16*w**2 + 14*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 676, 2641, 5892, 10429, 16252?\n\"Answer: 643*g**2 + 36*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/120 - n**5\/30 - n**4\/12 - 5*n**3\/6 - 2*n**2. What is the tens digit of v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b. Let f(y) = 4*y**3 - 18*y**2 + 14*y - 11. Let l(a) = -f(a) - 3*m(a). Is l(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:54 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-12 - -9 - (-7 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 1 = 4*j, -198*j = 3*g - 209*j - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-659 + 446 - 351 - 767)*(-m**5 - 3*m**5 + 6*m**5).\nAnswer: -2662*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*y + 504, -3*y = 2 - 14. Let t = 66 - 63. Suppose -p - t*p = -r. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9 + 3*z + 0*z - 3*z - 4*z. Let s be o(-3). Let h(l) be the second derivative of -l**4\/12 + l**3 - l**2\/2 + l. Calculate h(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s**4 - 6957 - 7*s + 6984 + 6*s**4 wrt s?\nAnswer: 12*s**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43594547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1567\/5 - 627\/2. Let w = -1.8 + 2.3. What is the closest to -3 in 0.6, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/3 + 4. Let u be (-53)\/11 + 4\/(-22). Let b = 7 + u. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 273 = 5*y, -3*y = -7*y + d + 208. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131472234 to the power of 1\/2, to the nearest integer?\nAnswer: 11466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/18*6\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 218931 (b) -5.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152936627?\nAnswer: 71, 2154037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 9*g - 5*c - 3450, 0 = -3*g + 2*c + 3459. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 smaller than 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/15))\/y)**(-2\/113)*(((y*y*y**(-1\/8))\/y*y*y*y)\/y)\/y*(y\/(y*y**10))\/y assuming y is positive.\nAnswer: y**(-123703\/13560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -240 - -333. Let h = 82 - a. Let y(t) = t - 1. Let i be y(5). Sort 5, -5, i, h in ascending order.\nAnswer: h, -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24455 < 24453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 72. Suppose 5*z - 119 + 24 = 0. Let f = g + z. Solve f*v - i = -3, -5*i + 26 = 2*v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:09 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -324, -1311, -3290, -6591?\nAnswer: -11544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -705bb4 (base 12) to base 8.\nAnswer: -6536170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4 - 96*d**3 - 27*d**2 + 864*d = 0.\nAnswer: -3, 0, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, 0.1, 2\/7, 34, 0.4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q - 89. Let p(x) = -15*x - 177. Let y(f) = -3*p(f) + 5*s(f). Calculate the remainder when y(0) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -74*z**2 + 10*z. Let a(k) = 222*k**2 - 28*k. Give 5*a(i) + 14*y(i).\nAnswer: 74*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l - 12 + 0*l**2 - 8\/5*l**5 + 0*l**4 - 13\/3*l**3. What is the third derivative of h(b) wrt b?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 20. Suppose -5*n = l - 7, -b*n - 1 - 5 = -5*l. Suppose 7*c**4 - 16*c**l + 10*c**3 - 17*c**4 + 8*c**4 + 8*c = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**3\/3 - l**2\/2 + 3*l - 2. What is the units digit of b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -5*l**2\/2 - 3. Let q be h(-1). Solve -18 = -5*u - 2*f, -3*u + u = -q*f - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004101 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 9, -3, 456, 351 in ascending order.\nAnswer: -3, -2, 2, 9, 351, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 5 (c) -106 (d) 1480 (e) -0.3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -10 + (-8 - (-24 + 2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let y(j) = -21*j**2 - j + 2. What is 2*n(o) - y(o)?\nAnswer: 21*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v - 9. Let c(n) = -4*n - 5. Calculate -14*c(d) + 6*s(d).\nAnswer: 2*d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77587 + 124716. What are the prime factors of p?\nAnswer: 47129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 284 = -4*h, 4*h = -16*t + 798 + 254. Solve t*a + 504 = a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 - 157. Let t = -335 + 8709\/26. Is t greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 0*g - 3*g)*(-5*g + g - 2*g) + g**2 - 7 + 7.\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -620933 divided by -9\nAnswer: 620933\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-14)*s**4*s)\/(s**8\/s**(2\/3)))**(-4\/19))**(-50) assuming s is positive.\nAnswer: s**(-9800\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 468 and 167882.\nAnswer: 3021876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 313.4451 millennia?\nAnswer: 313445.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48043 + -528471\/11. Determine o so that 0 + 2\/11*o**2 - 14\/11*o**3 + a*o**5 + 12\/11*o - 2\/11*o**4 = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g - 4. Let n(w) = 16*w - 12. Let o(i) = -3*n(i) + 10*r(i). Let f be o(1). Let k be 6\/(-3)*((-39)\/6 - f). Is 10 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022212 (base 4) in base 5?\nAnswer: -403331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(1872)).\nAnswer: -36*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppsspppppppsp. Give prob of picking 3 s.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(720) + (sqrt(720) + (sqrt(720) - (sqrt(720) - (sqrt(720) + -4))**2) + sqrt(720) - sqrt(720))) + sqrt(720).\nAnswer: -65 + 156*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 9731755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 14532?\nAnswer: -14534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -1 - (8 + -6)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4188 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -941*y**2 + 2*y - 3. Let s(x) = -3*x**2 + 1. Give -3*s(f) - z(f).\nAnswer: 950*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*i + 3245 = -663*i - 865 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 10432 = 2*i - j, i + 4*j = 5207. Suppose -22*y - i = -27*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -109, -873, -2933, -6937, -13533, -23369?\n\"Answer: -108*s**3 - 8*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -211d53 (base 15) in base 3?\nAnswer: -2222001112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(28) + 3*sqrt(28) + -3)**2 - ((-2 + sqrt(7) + sqrt(7))*-2 + -4 + (sqrt(35)\/sqrt(5) - sqrt(7))).\nAnswer: -1371 + 148*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 659*c**3 + 4614*c**2 + 9*c - 6. Determine m(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.1047\nAnswer: 0.01047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(475)*1)*-1.\nAnswer: -5*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1817, -10520, -25009, -45284?\nAnswer: -71345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**5\/60 - f**4\/12 + f**3\/2 + 2*f**2. Give u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x = 81*x - 10971. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -1, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19338, 19324, 19302, 19272?\n\"Answer: -4*v**2 - 2*v + 19344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(-46)\/(w**(1\/42)*w**(-5)) assuming w is positive.\nAnswer: w**(209\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4221661, 4221664, 4221667?\nAnswer: 4221670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024281 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 677?\nAnswer: -27.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 5*b - 41, -2*b = -5*y + 81. What is the lowest common multiple of y and (414\/18 - 16) + ((-2)\/(-2) - 1)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 266 - 458. Let n = 737 + q. List the prime factors of n.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 710 = 1270. Let y = -492 + i. Solve -b - 10 + 3 = y*p, p = 2*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133086445 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/91 + 754\/(-7). List the prime factors of -3 - (-3 + y\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -376455*j**4 - 475118.\nAnswer: -1505820*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16.124 and -0.875.\nAnswer: -16.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = b - 3*g + 22, 2*b + 3*g + 24 = 0. Suppose 57*r + 47*r - 4482 = -r - 61*r. Calculate the remainder when r is divided by (-65)\/(-9) + 4\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 c when four letters picked without replacement from ccxxxxxxxxxcxcxxxx.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23516, -23492, -23452, -23396, -23324, -23236, -23132?\n\"Answer: 8*r**2 - 23524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 4*j + 4*j)*(3 - j - 3)*((-2 - 2 + 3)*(2 + 2*j - 2) + 2*j - 5*j + j) to n*j**3 + q*j + a*j**2 + k and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 2*q - 4. Let s be l(-3). Suppose 3*n = s + 13. Suppose 4*g - o = 4*o + 11, 4*g - n = 3*o. Let w(v) = -v - 2. Give w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 2, w: 1, i: 1}. What is prob of picking 1 j, 1 i, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/17004 and -37\/5564.\nAnswer: 1819428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 0.06, 393\/4, 0?\nAnswer: 393\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 2. Let d(u) = -14*u + 26. Let j(i) = 5*i - 9. Let r(f) = 6*d(f) + 17*j(f). Determine 3*r(c) - 4*z(c).\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/2 + 16*y**4 - 36*y**3 - 67*y**2 + 71*y\/2 + 51 = 0.\nAnswer: -34, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrb when four letters picked without replacement from {r: 8, b: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxhhhxhhxnyxnmxxxxxx. Give prob of sequence hhn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47878, 95777, 143688, 191617, 239570, 287553, 335572, 383633?\n\"Answer: x**3 + 47892*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12003193 to the power of 1\/2, to the nearest integer?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17575076.\nAnswer: 2, 17, 19, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a88 (base 14) to base 9.\nAnswer: -2761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344348734 by -3461.\nAnswer: -99494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 3*t + 10 - 13 + 4*t**2 + 58*t**4 - 8*t**2 - t as v*t + q + k*t**3 + r*t**4 + z*t**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 577 - 2?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:16 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2065822 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = q - 13, -q = -n + 2 + 5. Suppose -n*v + 30 = 5*c, -3*c + 0*c - 18 = -3*v. What is the remainder when 39 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 133, 503, 873, 1243, 1613?\n\"Answer: 370*n - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4267 divided by 348.\nAnswer: 4267\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 1 - 3. Suppose -5*w = -4*s + 2, 2*w - f = -s + 2*s. What is the nearest to w in 0, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/4340?\nAnswer: -3\/4340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cglc when four letters picked without replacement from cljccljjijgjcilijlji?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0*h**5 - 42*h**2 + 0 + 0*h**6 + 104\/3*h**3 + 0*h + 0*h**4 + 89\/70*h**7. Differentiate r(u) with respect to u.\nAnswer: 1068*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*g - 470 = -623 + 3981 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (0 - -2) - -9. Let s be (-39)\/f + 4\/(-6). Let j(z) = -49*z + 2. Is j(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 470444.5 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, -0.2, -2, -0.1, 54\/7, 6?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0*f + f + 4 - 2*f. Let n be i(2). Suppose -n*a + 5*q + 53 = 0, a - 5*q + 2*q = 25. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5448 = 5*v + 3*s, 50*v = 49*v + s + 1096. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 4162 = 3*l - 15*d, l + 3*d = -1374. Let c be 9696\/l - (-6)\/(-63). Which is greater: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 75.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/(((-10)\/6)\/((-335)\/67)). Let v(l) be the first derivative of 1\/9*l**d + 7\/6*l**2 - 4 + 2*l. Factor v(q).\nAnswer: (q + 1)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127941876 and 284315280.\nAnswer: 2558837520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5972 and 42314606?\nAnswer: 84629212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -863, 6\/5, 0.4 in decreasing order.\nAnswer: 6, 6\/5, 0.4, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 15*a**2 - 9*a - 5. Let s(d) = -8*d**2 + 5*d + 3. Let z = 101 + -104. Let t(h) = z*w(h) - 5*s(h). Give t(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 4}. What is prob of sequence yyp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1052 + -531. Let z = -193 + 252. Suppose -z + s = 3*h. Calculate the highest common divisor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/128 and 27\/26764496.\nAnswer: 214115968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + d?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)\/(sqrt(8) + sqrt(32)\/sqrt(4)))\/(sqrt(72) - (sqrt(72) + (2*sqrt(72) - sqrt(72)) + sqrt(72) - sqrt(72))) + 1)*1.\nAnswer: -sqrt(2)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 40124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/138)\/(1\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.55165 tonnes to milligrams.\nAnswer: 82551650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a5 - 418485?\nAnswer: -41877a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 2, -35\/9, -3\/4, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m - 3*d, -4*m + 0*d - 3*d = 31. Let r(g) = -g**3 - 7*g**2 - 3. Let x be r(m). Is 2*-1 - (-20 - x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3018)\/(-27) + (-1 - (-33)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 246247494 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and (-45)\/75*(4\/(-12) + 1)*-30?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9266.43564 milliseconds in weeks?\nAnswer: 0.0000153214875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 8. Let z(s) = 1 + s**2 + 26*s - 10*s - 17*s. Let v(p) = p**2 - 2*p + 2. Let f(m) = r*v(m) + 2*z(m). Solve f(d) = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-25) - (-62)\/10)\/((-100)\/(-125))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2038783, -2038779, -2038769, -2038753?\nAnswer: -2038731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 5*a. Let n be o(3). Put n, -2, -7 in decreasing order.\nAnswer: -2, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 7:33 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1615, 1604, 1593, 1582, 1571, 1560?\n\"Answer: -11*d + 1626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 50, 120, 228, 380?\n\"Answer: t**3 + 10*t**2 + t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 29701 (b) 0.7 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 3*s**3 + 5*s**3 + (-s**2 - 3*s**2 + 3*s**2)*(-3*s + 5*s + 0*s) - s**3 + 7*s**3 - s**3 to the form u*s + g*s**3 + a + q*s**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-87) - 7434\/(-1624)*12. Suppose 0 = 4*l - 9*l + 25. Calculate the highest common factor of z and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*l - 2344 = -6*r, 2*l = -r + 1152. Suppose r = 12*v + 6274. Round v to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 3*s - 7, 5*s = 5. Find the third derivative of 9*f**3 + 94*f**t + 2*f**3 - 100*f**2 wrt f.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26069 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t = -91*t + b + 8, 4*t + 2*b + 16 = 0. Solve 9*n + 529 - 484 = t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-eight sevenths of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 1. Let r(v) = 8*v. Let j(w) = p(w) + r(w). Suppose -4 + 24 = 4*l. List the prime factors of j(l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1553, -3109, -4665, -6221, -7777?\n\"Answer: -1556*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10241*p**3*q**2*x + 1217*p**3 - 4*p**2*q*x + 2*q**2 - q wrt x.\nAnswer: 10241*p**3*q**2 - 4*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 154. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(90)\/(sqrt(18)\/sqrt(2)) - sqrt(10))\/(sqrt(162) - 2*sqrt(162)) + sqrt(495)\/(2*sqrt(539) - sqrt(539) - sqrt(11)))**2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/(-28))\/(((-4)\/(-30))\/((-560)\/875)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 6*y)*(-y + 4*y + y) - 19*y**2 - 19*y**2 - 9*y**2.\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9*q = -402. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -18*g**3 - 2 - 20*g**2 - 14*g**2 + 29*g**2 + 19*g**3. Let a = 41 - 36. Let n be a - 2 - (-4)\/2. Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 811858829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and -67\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -386666, -773336, -1160008, -1546682?\n\"Answer: -u**2 - 386667*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.1 + 12. Which is greater: 13\/5 or d?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 5*o = 12*u + 12, 2*u + 2*o - 16 = 0. What is the smallest common multiple of 88 and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19762087 or -19762088?\nAnswer: -19762087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 - 22 - 21*l**3 - 15*l**2 - 60*l - 2 - 39*l**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - 5*m - 11. Determine n(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-8)\/32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1603, -58, -42\/11, -1\/2 in ascending order.\nAnswer: -58, -42\/11, -1\/2, 0.1603, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(847) - 2*sqrt(847)*3))**2 + ((5 + sqrt(847) + sqrt(847)*1 - sqrt(847)) + sqrt(847))**2*5.\nAnswer: 1210*sqrt(7) + 38241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:31 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-24)*-3)\/(855\/5700)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-378)\/(-90) - (-12)\/(-10). Let a(o) be the second derivative of 1\/3*o**4 + 5*o + 1\/10*o**5 + 1\/6*o**m + 0 - o**2. Determine a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + 10*(-3)\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**3 - 5412*r**2 + 54520*r + 1. Calculate x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -2241108?\nAnswer: 2241087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 28*o - 82. Give u(18).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -12 - 10 - 0 - (-4 - -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 198698171 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1368\/5 + 273. Which is the fourth biggest value? (a) -2\/3 (b) -2\/17 (c) -5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 35. Suppose 0*v - v = 1. Let k = v + y. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -373*n - 12 + 187*n + 191*n to the form s*n + u and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2757165266 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1870 and -107\/990?\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 231491 = 231238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-30)\/(-200)). What is the smallest common multiple of p - 1\/4*4 and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-3) - -3 - 1. Suppose i = -6*k + k - 80. Calculate the common denominator of -11\/6 and k\/(-4) - (-140)\/(-88).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*x + 1167*x - 101 - 101 = 65 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1787924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*w - 19 = 102, 0 = 6*o - o - 25*w + 6*w + 451 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2044286 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1 + 4 + -1). Let b be (2\/(-4))\/(l\/(-4)). Let q = -124 - -124.2. What is the smallest value in b, 0.1, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4)*(-42)\/(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.9997. What is p rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 31*i**2. Let j(n) = n**2 + 2*n**2 - n**2. Calculate j(l(v)).\nAnswer: 1922*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-12 + 2)) + (-3 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-2 + 9\/4). Let y(l) = -5*l + 10. Let x be y(f). Solve x*m + 0*m + 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**3 - 2*o**2 - 13*o + 12. Let q(w) = -15*w**3 + 5*w**2 + 27*w - 26. Let s(f) = -6*q(f) - 13*v(f). Let b = -18 + 13. Give s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.039 - -3.059. Sort 5, y, 2\/5 in descending order.\nAnswer: 5, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffpp. What is prob of picking 2 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/4)*j\/((j\/j**(4\/9)*j)\/j))\/(((j*(j\/(((j**2*j)\/j)\/j))\/j*j)\/j)\/j**3))**(-1\/7))**(-9\/8) assuming j is positive.\nAnswer: j**(19\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31206 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 2*h**2 - 2*h - 3. Let f be v(-2). Let m be -9*f*(-10)\/(-15). Let z = 5 - m. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 5. Let g be j(0). Suppose -u + 5*y - 20 = -5*u, 3*u = g*y + 50. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 33 - (0 - -4) - 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l**2 + 2*l)*((3 - 6 + 1)*(l + 12*l - 4*l) - 7*l + 2*l + 2*l).\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 - 15179*u**2\/5 + 55344504*u\/5 + 17286464484\/5.\nAnswer: (u - 7734)**2*(u + 289)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-6)\/(-21))\/(32\/(-56))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/8)*l)**(-2\/21) assuming l is positive.\nAnswer: l**(-13\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439 - -441. Suppose -s*b = 2*o - 648, 0 = -8*o + 3*o + b + 1650. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 20*f**2 - 4*f + 17. Is r(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 5. Find the second derivative of -3*y + 5*y**2 - p + 13 - 5 wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 3*u**3 - 2*u**3 + 31 + 79 - 146 + 81.\nAnswer: u**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 - 517320*c**2 - 3103812*c = 0. Calculate c.\nAnswer: -172434, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -88.94. Let s = -5.06 + p. Let w = -26\/5 + 29\/5. Which is the second biggest value? (a) s (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:46 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*v = -35, -2*p - 4*v + 55 = -3. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -l + 3*i - 0, -2*l - 3*i = -13. Suppose 54 = -4*w + d, -3*d - 1 = 5. Let b = l - w. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000895340323 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -111, -250, -455, -732?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = 4*o, -30 + 7 = -2*o - 5*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.1, -50, 1\/6 in descending order.\nAnswer: 10, 1\/6, 0.1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -772, -403, 590, 2519, 5696, 10433?\n\"Answer: 52*s**3 + 5*s - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1631 rounded to two decimal places?\nAnswer: 8.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 4017 = -g. Suppose -u - 5 + 60 = 3*x, 1 = x. What is the remainder when g is divided by u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19294, -18916, -18538, -18160, -17782?\n\"Answer: 378*v - 19672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 1, h: 3, r: 1, j: 5, p: 1}. Give prob of sequence spy.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1761619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1)*(-7)\/57673. Is 1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111100 - -1010100101?\nAnswer: 101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1716, 1999, 2232, 2415?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(187)*2 - -2*sqrt(187)*3)*5)\/(6*6*1*sqrt(11)*3).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 8*m**2 - 21*m + 103. Let b be r(9). What is the hundreds digit of 1568\/2 + -3 + (2 - b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14\/17 + -857\/1020. Let q = -96 - -116. Suppose -4*z = 2*s - 0 + 4, 5*s = -q. Is z bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7+421\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:14 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 15*a**2 - 16*a - 5. Determine s(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.08, 0.1, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(13))*4.\nAnswer: -13 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 890901044*a**2 - 450606145*a.\nAnswer: 1781802088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 99. Let h = s - 62. Sort 3, -85, h.\nAnswer: -85, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*l - 831 - 1994 = 3130 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240 + -252 - (-20 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(3\/28))\/z)**(-13\/3)\/(z**17)**(-2\/23) assuming z is positive.\nAnswer: z**(-6413\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -2. Suppose 0 = -5*s + 8*s + 69. Let f = 71\/3 + s. Which is the smallest value? (a) -3\/7 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.24932 - -0.04932. Sort 3, -3, q, 14, -0.04 in decreasing order.\nAnswer: 14, 3, -0.04, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6, -3 in descending order.\nAnswer: 17, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1 - 7*h - 5 + 9*h - 5*h. Let c(s) = -3*s - 5. Let i(x) = 6*b(x) - 7*c(x). Calculate i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -17655\nAnswer: 1\/17655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:00 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or -678.3?\nAnswer: -678.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50903*f**3 - 676*f**2 + 403683497 wrt f?\nAnswer: 152709*f**2 - 1352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*k*n**2*t + k*n*t + 6*k*t - 2016*n**2*t with respect to k.\nAnswer: -28*n**2*t + n*t + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*j**2*q**3*u**3 - j**2*u**3 + 15*j*q**3*u**3 + 2*j*q + 2*q**3*u**3 wrt j.\nAnswer: 116*q**3*u**3 - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7873888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 8721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 252 + 287 + 621 - f - 278 + 3*f as r + t*f and give r.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/3 + 2)\/((-36)\/(-96)). Let z(a) = -6*a - 6. Let i be z(-5). Factor -3 + 25*f**4 + 23*f**4 - 44*f**2 + 32*f**5 - i*f - 1 - r*f**3.\nAnswer: 4*(f - 1)*(f + 1)*(2*f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1 + sqrt(1872))*-4 - (sqrt(1872) + 5)*4) + -1).\nAnswer: -576*sqrt(13) - 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**4\/5 - 8324*v**3\/5 - 24948*v**2\/5 - 4988*v - 8312\/5 = 0.\nAnswer: -2078, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 15186 = -3*j - 5*a, -25306 = -5*j + 4*a. Does 51 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(99) + 0 - sqrt(99)))*-4 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 47 + (0 - -28) + (-112 - -76).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.9, -3\/17, 0.34 in increasing order.\nAnswer: -0.9, -1\/4, -3\/17, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 + 13 = -5*q, w = 3*q + 12. Let k be (-1 + 2\/4)\/(3\/(-30)). Solve -l = k - w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -3 in decreasing order.\nAnswer: -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, 0.1, 22\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 3167 - 6*v**2 - v + 3163. Let b(n) = 1. Let y be 8\/(-2) - (0 + -1). Let t(h) = h**2 - 2. Let s(q) = y*b(q) - t(q). What is -r(c) + 6*s(c)?\nAnswer: 2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llam when four letters picked without replacement from mlmmalmal?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*t - 2*j, -2*j - j = 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/(-15)*(-6 + 9). Suppose -5234 = -k*v - 2*w, -2*w - 2672 = -4*v + 1526. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:32 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1175324 and -0.091.\nAnswer: 106954.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.341 months in years?\nAnswer: 11.36175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2034 and 5424?\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 70.26944m?\nAnswer: 7026.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**6\/3 - 7*m**2\/2 + 3*m. Find the first derivative of j(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573) + -4 + sqrt(1573) - (sqrt(1573) - (sqrt(1573) - sqrt(1573)*2*2)))**2.\nAnswer: 220*sqrt(13) + 6317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i + w = 250, -3*i + 193 = -2*w. Let a(t) = i*t**2 + 59*t**2 + 56*t**2 - 245*t**2 + 65*t**2. Let l(b) = -7*b**2. Determine a(l(g)).\nAnswer: -98*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 11907?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 1974 - 1977 - 1978 + 7910 - 1981.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(-1)*(2257\/(-46) - (3000 - 3049))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79598000 rounded to the nearest one million?\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 171 (b) -12 (c) -0.4 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 10086.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*h + 2*h**2 - 79*h + 14 + h**3 to the form m*h**3 + i*h**2 + c*h + g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 10, 7223?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-31)*r*r*(r\/r**(-6\/13))\/r)\/(r\/(r\/((r*r**(-3\/7))\/r)*r))**(2\/7))**(10\/17) assuming r is positive.\nAnswer: r**(-179190\/10829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 962 or 959?\nAnswer: 959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 3:04 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*c - 2 + 26 = 0, -j + c = -8. Suppose 2*w - 12 = -j*a - 0*a, 3*a + 6 = 0. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 - 2*t**3 + t**4 + 0*t**4 - t**3 - t to the form o*t**2 + b*t + l + h*t**4 + r*t**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/60 - 10*z**2. Let t be c(0). Solve -5*y - 25 = -t*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2448*n - 1. Let j(q) = 3*q**2. Calculate j(o(y)).\nAnswer: 17978112*y**2 + 14688*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1686, 1699, 1726, 1773, 1846, 1951, 2094, 2281?\nAnswer: 2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -12*h**5\/5 + 75*h**4\/4 - 50*h**3 + 105*h**2\/2 - 18*h - 915. Suppose p(t) = 0. Calculate t.\nAnswer: 1\/4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = 164 - 130 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37731 or -37623?\nAnswer: -37623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 850759.5 nanometers?\nAnswer: 0.8507595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411282 a multiple of 1282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85029 - 1025330.43.\nAnswer: -1110359.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Let v(u) = 5*u**2 - 3*u - 1 - 1 + 6*u - 5*u. Let q(m) = 15*m**2 - 7*m - 7. Let n(w) = l*q(w) + 7*v(w). Let f(d) = 12*d**2. Give n(f(j)).\nAnswer: 720*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 232320?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13029095 minus 5?\nAnswer: -5.13029095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3 - (8 - 10). Suppose -3*x + 4 + t = 0. Let m(h) = -h**3 + 12*h**2 + 12*h + 11. Let i be m(13). Which is the closest to -0.3? (a) x (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*b**3*f - 17161*b**3 + 54267*b**2*f + 235 wrt f.\nAnswer: 22*b**3 + 54267*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/495 and (5\/(-12))\/((-218)\/4360)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 13*i + 2. Let m be y(-6). Let p be -8*-2*(-204)\/m. Find the common denominator of p\/(-52)*6\/(-18) and 79\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v - 138. Let c(y) = -9*y - 115. Let q(z) = 6*c(z) - 5*g(z). Let d(p) = -33*p**2 + 28*p**2 - 59*p**2. Determine q(d(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 28 = -5*i, 3*i = -3*a + 48. What is the lowest common multiple of 48 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*h + 117 = -112*h + 916 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 4*i**2 + 4*i + 1. Let g be n(3). What is the second biggest value in -5, -2, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7557683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33.82604l?\nAnswer: 33826.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 5 = -x. Suppose 5*l + x*i = 35, -4*l - 4*i = -24 - 16. Suppose 5*y - 2*h - 148 = 0, y - l*h - 27 + 2 = 0. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 q, and 1 y when four letters picked without replacement from yzqzyyqyqq.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(65) + sqrt(65) - sqrt(65))*3)\/((sqrt(90)\/sqrt(3))\/sqrt(6)).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i + 3*i - 3*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Suppose l*h - 5*i = 62, i + 20 = 5*h - 47. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 162 = -42. Suppose 0 = 5*v + 20, 2*h = 2*v - v + f. Calculate the highest common divisor of 12 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose 0 = 3*b - 3*n + 6, b + 3*n - 18 = -2*b. Let i(o) = -o**2 + 5*o**2 + o**b - z*o**2. Let d(w) = w. Calculate i(d(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 39211060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(156\/(-13))*(-6)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 47, 2.\nAnswer: 1, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaag when four letters picked without replacement from kkagkkakkagakgaka.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = a - 0*a, 4 = -s + 2*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17885962?\nAnswer: 2, 8942981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3 - b**2 + 4*b + 10*b - 5*b. What is the units digit of w(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 10*z + 3. Let r be w(-10). Suppose -r*x = -4 - 5. Solve x*y = 4 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6 + 0.6. Let k be 67\/136 - ((-54)\/(-144))\/1. Suppose -6*w + 3*w = 0. Sort k, w, a in ascending order.\nAnswer: a, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-638)\/165 - (-1)\/(-30)*4. Sort f, -1, -14, 3 in decreasing order.\nAnswer: 3, -1, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*b - 568 = 160*b. Let q = 93605\/7 - 13302. Let l = q - b. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w - 4. Let k(l) = 3*l**2 - 2*l + 9. Let x(m) = -m**2 - 7*m + 49. Let v be x(4). Calculate v*f(z) + 2*k(z).\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(5\/94) - 3. Let r = p - 46. Suppose 3*i = a + r, -4*i = 3*a - 75 + 2. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.3, -5, -3, 530\/57, 3\/4?\nAnswer: 530\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 25, -0.3, -5\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -831?\nAnswer: 830.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edderedefd. Give prob of sequence fe.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 273000 = -4*k, -4*r + 273012 = -172*k + 173*k. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378125.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = k - 3, -b = 2*k + 4. Suppose -4*o = -b*u - 24, -3*o - 4*u + 28 = -2*u. Let x = o - 4. Calculate the remainder when 7 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*t**2 - 36*t**2 + 172*t**2 - 44*t**2 - 44*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)\/((i\/(i**(-18)\/i))\/i))\/((i*i**(-7))\/(i\/i**7)))**(-1\/24) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 5.03. Let w = -1.8 + 1.9. What is the closest to w in d, -2\/11, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 + 1078*h - 58320. Let b(d) = -15*d**2 - 2155*d + 116640. Let j(f) = 2*b(f) + 5*k(f). Factor j(m).\nAnswer: -5*(m - 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.22496l to millilitres.\nAnswer: 50224.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80) + ((sqrt(60)\/sqrt(3))\/sqrt(4) - sqrt(5)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 20 = -4*l, -5*l - 4 = 21 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 2. Let r = 12 - 8. Let j be d(r). What is the tens digit of 6\/4*(j - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*p + 2, -2*p + 7*p + 13 = 4*z. Suppose 3*v - z*v = 4. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/13 + 352876*k**3\/13 + 1596447216*k**2 + 31298879746368*k + 62591373921024 = 0. Calculate k.\nAnswer: -58812, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 148 + 368 - 841.\nAnswer: w - 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 361*w**3 - 16*w**2 + 44*w - 52. Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -754?\nAnswer: -74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2 + 2*t + 3. Let i(o) = -o**2 - 1. Let z(u) = 6*i(u) + j(u). Let a be 0 + 2 - (11 - 4). List the prime factors of z(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quchucchuhhguquhvcqu. What is prob of picking 1 q and 3 c?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z**2 + z - 7. Let d(g) = -g**3 - 3*g**2 - 2*g - 4. Let s be d(-3). Calculate the remainder when 90 is divided by u(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 4. List the prime factors of y*(-3 + 3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30667.35 - -27170.288. Let s = 3492 + r. Round s to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32320 - 1012002?\nAnswer: -313022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 1631845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(175)).\nAnswer: -15*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4360, -4891, -5762, -6961, -8476, -10295?\nAnswer: -12406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 1 = p - 2, 9 = -p - 3*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1353 rounded to 2 dps?\nAnswer: 2.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/12 + (-14)\/(-21). Let h(t) = -t**3 + 5*t**2 + 7*t - 6. Let l be h(6). Factor l*q**3 + 0*q - 1\/4 - 1\/4*q**4 + 1\/2*q**g.\nAnswer: -(q - 1)**2*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3312 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 + 2*b + 1. Let l(i) = -i**2 - 1. Let f(y) = 2*l(y) + n(y). Let g be f(1). What is the biggest value in g, -2\/9, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120))\/sqrt(10)*6 + 1*4*sqrt(1200))**2*-4.\nAnswer: -23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -324*t**2 + 29*t - 1. Determine m(-1).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37601 is divided by 209.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -200*n - 2825 + 25 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2\/8 + 278907*m\/4 + 84161511\/8 = 0. What is m?\nAnswer: -185787, -151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*j**3 - 11*j + 114 wrt j.\nAnswer: 45*j**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15618 is divided by 158.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.646 + 3.666. Let y = -12\/53 + 320\/477. What is the second smallest value in y, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474 and 1\/(13\/(-2)) + 46245\/195.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987534 divided by 9?\nAnswer: 109726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5267, 39597, 132081, 311795, 607815, 1049217?\n\"Answer: 4846*f**3 + f**2 + 405*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + -3 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -31*h + 40*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-456)\/(-16)*1*(-17)\/(1683\/44).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w - 162. Suppose 2*t + 89*y - 91*y = 30, t - 10*y - 87 = 0. What is p(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-14))\/3)\/(946\/77)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -67\/50*m**5 + 0 + 7\/15*m**3 - m**4 - 18*m + 2\/5*m**2 - 16\/35*m**7 + 136\/75*m**6. Suppose o(g) = 0. What is g?\nAnswer: -1\/4, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -35, -39, -43, -47, -51?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Suppose -2*t = -5*k + 256, -c*k = 4*t - 3*t - 210. Determine v, given that -k*v**4 + 4*v**3 - 2*v - 2*v**5 + 52*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 0*y - y + 7 + 3 + 0. Let m be o(9). Suppose -2*w = 2*n, -2*w - 6 = -6*w - n. Sort -1, w, m in decreasing order.\nAnswer: w, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 87 + 3 = 0. Let i = k - 0. Let x(b) = b**2 - 12*b + 13. List the prime factors of x(i).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -68 (b) -0.06 (c) 2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -1450.\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3840)*-3 + sqrt(3840)))\/(-4*(sqrt(192)*-3 - sqrt(12))).\nAnswer: 12*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-3)*v**0)\/(v**(-2\/9)*(v*v**(2\/7))\/v)*((v\/(v**(-2\/5)\/v))\/v*v**(2\/21)*v)**35 assuming v is positive.\nAnswer: v**(5435\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 28*w - 7. Let o be f(4). Let d = o + -629\/6. Which is the smallest value? (a) -1 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -80*u + 78*u - 6, h = 2*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 14*q + 49. Suppose 0 = -2*z - 2 - 6. Let h(l) = -7*l**2 - 9*l - 4. Let r(k) = 3*k**2 + 4*k + 2. Determine q*r(y) + z*h(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5840, 23388, 52636, 93584, 146232, 210580?\nAnswer: 286628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 - 149*c + 10. What is m(-26)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5720000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/399 - 2384\/1995. Suppose -22*h + 16*h = 0. Let v be ((-2)\/(-18))\/(4\/8). Put h, l, v in ascending order.\nAnswer: l, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-23 + 54)) + -10\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 3*m - 9*m + 2 + 6.\nAnswer: 4*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36.19 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040021 rounded to six decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4\/7*m**3 + 6\/7*m**4 - 2\/7*m**5 - 2\/7 + 6\/7*m - 4\/7*m**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-787745)\/(-39405))\/(-317))\/((-7)\/6).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 376 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -12 + 2. Let l(n) = -2 + 6*n**2 - n**q - 1 + 2. Let s(b) = -b**2. Let h = -511 - -514. Give h*s(m) + l(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = g - 5*g. Let r be (-1)\/1*((-3 - 2) + 25). Let c be (-184)\/r - (28\/(-10) - -3). Solve -4*t = 4*l - 20, t - c = -g*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from xyxxytytotvxuyuttot.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -171.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**5 + c**5 + 3*c**5)*(-2 - 3 + 4) + 2*c**5 + 4 - 4.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 16*j - 43. Let b be 51\/4 - 32\/(-128). Determine q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3975.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4 + 1\/(40\/60).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*q - 1474, -681 - 781 = -4*o + q. What is the remainder when o is divided by 132?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/sqrt(3)) + (2*sqrt(17) + -1)**2 - ((-2*sqrt(204))\/sqrt(12) + (sqrt(17)*1)**2 + 4).\nAnswer: -sqrt(17) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 925212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4547 is divided by 785?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39650 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8 and 71\/364.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x\/x**(-16\/3)*x))*x\/(x*x**(3\/4)))\/((x*x**(-3\/13))\/(x**(7\/3)*x)))**29 assuming x is positive.\nAnswer: x**(50431\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -540, -538, -534, -528?\n\"Answer: k**2 - k - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -327 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -790 divided by -1073\nAnswer: 790\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17) + 0 + -4.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 84.2\nAnswer: 2862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - j = 0, w - 4*j = 24 - 7. Let u be (550\/8)\/(31\/(-124)). Let v = u - -547\/2. What is the third biggest value in -3, w, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638034583 to the power of 1\/3, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 3*w - 261. Let i = 166 - w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, p: 1, o: 1, h: 1}. Give prob of sequence hn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5984018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 - 16*p**2 + 17*p**2 + 87.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*u + 1 = 0, 7*c - u = 3*c - 19. Let i be 88\/6*2\/(-8)*-6. What is the remainder when 43 is divided by c\/(-22) - (-238)\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2470*l = 2047*l + 2089 + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101202102001 (base 3) to base 13.\nAnswer: 75493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 50*s**2 - 105*s - 410 = 0.\nAnswer: -2, 41\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1, 2.\nAnswer: -51, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1178*m**3 - 6*m**2 + 5*m + 47198 wrt m.\nAnswer: -7068*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 672 by -42.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 + 404 = -4*w - 17*v + 16*v, 4*w + 3*v = 179 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 35*f - 20. Calculate t(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6368*k**2 - 3164*k**2 + 7 + 3*k - 3203*k**2 + 5*k**3)*(-1 + 2 - 3) to the form c + g*k**2 + q*k + a*k**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1244*r - 7462. Let m be a(6). Suppose 2*x - 11 = -5*p, 4*x + 7*p - 4 = 3*p. Let o be (-3 - -4)*0\/x. Sort o, m, 5, -5.\nAnswer: -5, o, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, -8702, 5\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 1296 = 1356 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113814 and 1413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**5\/15 + x**4\/3 - 209*x**3\/9 + 34*x**2 + 2767. Suppose d(v) = 0. Calculate v.\nAnswer: -17, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 4 (c) 8 (d) 14\/5 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 8386?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**5 + 70*c**4 + 90*c**3 - 220*c**2 - 85*c + 150 = 0.\nAnswer: -2, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -6*1\/2. Suppose i - 41 = -2*j, -7 = 5*j + 2*i - 109. Suppose -j = -l - n. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) 3\/8 (c) -0.4 (d) -3\/10 (e) 27 (f) -2\/3 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 - 1 = 0. Suppose 3 = l*m - 6. Is (-14 - (m - 4))*-2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -19922*f**3 + 30*f**2 + 60*f - 2. Is l(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*c - 3, 7*o - 2*c - 18 = 5*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3 + 7 + 4*j + 0. Let s = 1 + -10. Let n(p) = p + 1. Determine s*n(z) + 2*b(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -15 - (20 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-99)\/(-153))*(-26)\/3*38. Which is greater: d or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xffffxxf. What is prob of picking 2 f?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 17 - (635\/13 - 34). Suppose 18 = 5*r + 3. Let n(m) = 4*m**3 + 2*m**2 - m. Let w be n(1). What is the second biggest value in 2\/15, c, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11450 + 7456\nAnswer: 18906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/53, 2\/7, 5, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -11 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-12))\/((108\/1026)\/((-16)\/(-38))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1715105*24.\nAnswer: -41162520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4\/5)\/(280\/(-1300))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**2 + 59*f - 22.\nAnswer: -(2*f - 11)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 33347 + 33347. Let l(g) be the second derivative of -g**7\/140 - g**4\/2 - 4*g. Let p(z) be the third derivative of l(z). Determine p(o(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 2661384133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20432818697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25317 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*h + 9166 = 1862. Let a = h + 329. Suppose 5*o - 52 = 223. What is the greatest common divisor of o and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 5*a. Let p be x(-4). Suppose -5*h + 598 = -3*u + 123, u + 160 = 2*h. Let g be u\/(-18) - 2\/(-3). Solve -v - 1 = 3*i, 4*v = 5*i + g + p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**4 - 9*s**4 + 78*s - 35*s**4 + 3*s**4 wrt s.\nAnswer: -396*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*h = -5*w + 20, 0 = -5*w - 4*h + 13. Solve 4 = -3*p - b, w*p + 20 = -0*p + 5*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 2028*r**3 - 511194*r**2 - 56940156*r - 2364953787.\nAnswer: -3*(r + 147)**2*(r + 191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-30) + 1812\/10. Let n = 256 - b. What is the remainder when n is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 3*t - 3*t)*(2 + 3 - 4)*(-4 - t - 3 + 3) to h + c*t + b*t**2 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*i**2 - 1060*c**3 - 79*c**2*i**2 wrt i?\nAnswer: 4*c**3*i - 158*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23852692697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, s: 3, o: 3, a: 9}. Give prob of picking 1 p and 3 s.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/54 - 14*d**3\/27 - 176*d**2\/9 + 56*d + 10. Solve o(c) = 0 for c.\nAnswer: -8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3445997523 + 3446069925.50017. Let c = h + -72437.5. Let n = -35 - c. Round n to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2681377 and 1764608.\nAnswer: 686432512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715330851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 4\/915 (b) 0.1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0 + 0 + (5*s + 2*s - 6*s)*(2 + 0 - 4))*(29*s**2 - 293*s - 3*s**2 + 289*s).\nAnswer: -130*s**3 + 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3749.\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 536636.37403.\nAnswer: 536635.97403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 6104?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4636 divide 412580820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/(3\/(-9)). Suppose -2*l = 4*a, -4 = -l - n*l - 5*a. Suppose f + 1 = -0*h - h, 2*h + l = -4*f. Are 4 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 20318, 0.3, -2, 0.1, 0.5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from wmwmmmwmmm.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2\/9*z**3 - 20\/3*z**2 + 112*z + 0 = 0.\nAnswer: -42, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 42. Suppose -4*w + 0*c + 40 = -f*c, -3*w + 14 = 5*c. Solve w = -d - 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122222101 (base 3) in base 14?\nAnswer: -4ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - g. Let m be t(0). Suppose m = -x + 364 - 5464. Round x to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2645, 5371, 8139, 10949, 13801, 16695?\n\"Answer: 21*c**2 + 2663*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 = 3*c + 3*c. Let m be c\/6*6\/15. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265670 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1228, 2469, 3754, 5107, 6552, 8113?\n\"Answer: 4*m**3 - 2*m**2 + 1219*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h**3 - 359*h**2 + 27*h - 95. Calculate t(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000386955 to six decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q - a + 5*a, 3*a - 12 = 0. Suppose -u - 3*r = -2*u + 23, u + 4*r + 12 = q. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 14662921.\nAnswer: 6\/14662921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -837192, -3348750, -7534676, -13394970, -20929632, -30138662?\n\"Answer: -837184*u**2 - 6*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 - 8*q - 12. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 13 = 2*c. Let u(q) = 2*q**2 - 2*q + 1. Calculate the remainder when u(5) is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:26 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = t + 3*u - 206, -5*u = 45. Suppose 2*b + 5*n - 87 = 0, -5*b - n = 2*n - 189. What is the smallest common multiple of b and t?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1569 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(3*y**2 - y**2 - 4*y**2) - 93*y**2 - 746*y**2 - 146*y**2.\nAnswer: -993*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/88 and -79\/26488?\nAnswer: 26488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 115, -2 in increasing order.\nAnswer: -2, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.862 + -0.862. Which is the nearest to n? (a) -2 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11) + 0 + sqrt(11) + -1 + sqrt(11)*-2 - (sqrt(1584) + -1*sqrt(1584))*2) + (6*sqrt(88)*2)\/sqrt(8) + -4 + 0.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 28*z - 270 = 0. Let m be ((-4)\/6)\/((-2)\/z). Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1)*(-4)\/2. Let t(l) = 6*l**3 - 10*l**2 + 5*l + 6. Let r(q) = -5*q**3 + 9*q**2 - 5*q - 6. Let d(y) = -7*r(y) - 6*t(y). What is d(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57252.4 micrograms?\nAnswer: 0.0000000572524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46579, -46580, -46581?\nAnswer: -46582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f**2 + 42*f**2 + 453254*f**3.\nAnswer: 453254*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737773817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 10 + 14. Let b(g) = -g - 8. Determine b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2432 is divided by 105?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/((t*t**(-26))\/t))\/t)\/t)\/(t**(-16)*t*t*t))\/(t**(1\/15))**(1\/41) assuming t is positive.\nAnswer: t**(23369\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 15*v**2 - 17*v - 6. Let w(z) = -z**2 + 4*z - 4. Let h be w(6). Let u be x(h). Suppose -u - 104 = -6*f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*s - 680 = 23*s. What is the remainder when ((-68)\/(-3))\/(2\/6) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138580\/7 - 5943064\/301. Are g and 53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 8 = -2*h, b + 45*h - 3 = 40*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 64. Calculate the remainder when 45 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n - 25. Suppose b + 9 = 4*b. Let a be m(b). Let w(v) = -v**3 + 6*v**2 + 2. Let x be w(6). Solve -z - x*t - 4 = 0, 7*z - 4*z = -a*t - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(75\/42))\/((-4)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -1 (c) -3 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 243*r + 4236*r.\nAnswer: 3993*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42576693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b - 2. Let a be r(5). Let o = -3 + a. Suppose 0 = 4*f - 3*w - 29 - 60, -4*w - 12 = o. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d - 2*d + 4*d - 7 + 0*d + d**2. Let t be a(-4). Let c(y) = -y**3 + 2*y - 1. Determine c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158128463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 2. Let v be 5\/(-3 + 0 + 4). Suppose 0 = v*p - 8*p - 6. What is x(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/4 + 19560*a**3 - 383179950*a**2 + 22938012000*a - 343806322500 = 0.\nAnswer: 30, 39090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 + 7 = 0. Let d(a) = a - 8*a**2 + 22*a**2 + 1 - c*a**2. Let b(w) = -w**3 - 11*w**2 - 10*w - 4. Let f(p) = b(p) + 5*d(p). Give f(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -532?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**9*h)\/((h**3\/h*h)\/h))\/(h\/h**(-1\/3))**(1\/6))**17 assuming h is positive.\nAnswer: h**(1343\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1686574 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117135473579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 258\/20 + (50 - 62). Let i(p) be the second derivative of 1\/100*p**5 + 3\/20*p**4 + n*p**3 - 8*p + 27\/10*p**2 + 0. Find k, given that i(k) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -8. Let j = a - 6. Suppose -53*n = -52*n + 4. Sort -1\/5, n, j in ascending order.\nAnswer: n, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 65 = -89. Let a(w) = 3*w**3 + 6*w**2 + 13*w - 12. Let k(o) = -4*o**3 - 6*o**2 - 13*o + 12. Let j(t) = 5*a(t) + 4*k(t). Calculate j(q).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/4455)\/(2\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123500298 to the power of 1\/2, to the nearest integer?\nAnswer: 11113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0 + 1\/2*c**2 + 13*c + 25\/36*c**3 + 5\/72*c**4 + 1\/360*c**5. Let m(h) be the first derivative of w(h). Factor m(n).\nAnswer: (n + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 20. Suppose -29879 - 215793 = i*x. Let l = -74836 - x. Round l to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 280 = -2*h, 2*h + 5*b = 7*h + 690. Let c = h - -210. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:24 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57*((-2754)\/51)\/(-162)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7691\/1368 - -1\/342. Calculate the common denominator of 81\/20 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 429 and 21?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 13, c: 5}. What is prob of picking 1 n and 1 c?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 85, 160, 247?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/((-8)\/5)*72\/675 and ((-24)\/(-234))\/(1\/10).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116082.89956 + -116079. Let y = 69 - 65.1. Let h = o - y. Round h to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e96 + 98ba?\nAnswer: 8a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1318616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 152 = -5*s - 36, 2*s + 5*o = 58. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4858 is divided by 4842?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -272312 (base 10) to base 4\nAnswer: -1002132320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -210 - -205. What is the closest to -9 in 2, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-69)\/(-1196)*-2\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30880 and 249440.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 31.003. Let l = 147 + -147.097. Let m = l + p. Sort 2\/7, m, 5, 1\/3 in ascending order.\nAnswer: m, 2\/7, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2968, -5777, -8586, -11395?\nAnswer: -14204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 31 = 2*z, z + 2*k + 2 - 16 = 0. Suppose 2*h + z = 4*n, -2*n + 4*h = -2 - 8. What is the first derivative of -11 + 163*m**3 - 152*m**3 + n wrt m?\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 3:11 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -310100 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 143692108551.1 take away -8?\nAnswer: 143692108559.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by (7 - (-168)\/(-20))*5 + 121.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333001200 + 0?\nAnswer: 333001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 40*t**2 - 4*t + 907. Let o(j) = -40*j**2 + 3*j - 914. Let b(z) = 6*o(z) + 7*q(z). Find the first derivative of b(x) wrt x.\nAnswer: 80*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109*t**3 - 1386 - 3*t - 2*t + 199*t**3 + 5*t wrt t?\nAnswer: 270*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6 + 4. What is the common denominator of (-694)\/(-20) - (-2)\/(-10) and 22*9\/(-12) + w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395375.9346 rounded to the nearest ten thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 225649879 to the power of 1\/3, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = -2*g, -3 = -3*t + 5*g - 55. Let h be (-15)\/t - 1\/(-3). Suppose -h*y - 4 = -14. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1150, -4666, -10526, -18730?\n\"Answer: -1172*g**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -1758?\nAnswer: -31\/1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145257.\nAnswer: 103, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, 5, -5, 40 in decreasing order.\nAnswer: 40, 5, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 3*k + 4. Let x be t(4). Suppose x*l - 11689 = -4*u - l, -4*u + 11677 = 5*l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 - 4*x - 5. Let l(c) = c**2 - c - 1. Let n be 1\/(3\/3)*5. Let t(a) = n*l(a) - p(a). Find the second derivative of t(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 37\/706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186 - -131. Let a = b + 55.1. Let w be (-83)\/(-8) + -10 - 35\/136. What is the smallest value in -0.1, a, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 6:11 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/21000 and 67\/450520.\nAnswer: 33789000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3822 is divided by 662.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - l - 86. What is x(0)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319690981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0184358 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 + 11*w**2 + 9*w - 23. Let y(k) = -15*k**3 + 23*k**2 + 18*k - 48. Let r(l) = -13*f(l) + 6*y(l). Give r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 11*b**2 + 5*b - b**4 + 3294*b**3 + 26*b - 3294*b**3 in the form w*b**4 + m*b**3 + y*b**2 + g + a*b and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22664?\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 87431328 divided by 6\nAnswer: 14571888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 30228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7817044 and 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54402941987 plus 3.779?\nAnswer: -54402941983.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 5*y - 37, -4*y + 8 = 3*b. Suppose -m - s + 1 + 2 = 0, m + 6 = -4*s. Let z be (m\/b)\/((-2)\/72). Calculate the highest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(147)*2.\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 408 = d. Calculate the highest common divisor of 64 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from pppiiippxppipipxii.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9990, -34134, -72438, -124902?\nAnswer: -191526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5256 - 3398 = -2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5167809?\nAnswer: 3, 574201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2848, -5674, -8494, -11308, -14116, -16918, -19714?\n\"Answer: 3*g**2 - 2835*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 71*k + 1492. Determine o(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(931) + (sqrt(931) - sqrt(931)*2*6) + -1*(2 + sqrt(931) + 2) + 3)**2.\nAnswer: -560*sqrt(19) + 93116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n - 380. Let h be v(41). Let l(i) = 6*i**2 + 4*i + 5. Let g(b) = 18*b**2 + 11*b + 14. Determine h*l(o) + 4*g(o).\nAnswer: 6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 293727 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 88, 132, 176, 220?\n\"Answer: 44*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i - 48. Let t(u) = 5*u + 77. Let j be t(11). Let p = 141 - j. What is the least common multiple of p and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.9999905 + 33. What is s rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 20806.\nAnswer: 20802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -756.975 rounded to the nearest 10?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-324)\/(-7) + 2\/(-7). Let w = -243 - -266. Calculate the highest common divisor of t and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 + 3 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 139655.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = 27 + 51 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 + (33\/2)\/((-56)\/(-16)). Suppose 3*p - 20 = -p. Solve -p*z + n = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11799*x**4 + 38242 with respect to x.\nAnswer: 47196*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-8)\/6)*(-256)\/(-96).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7857 + -7857.2. Let s = -1.3 + 7.3. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1356 + -1357. Which is the closest to z? (a) -2\/13 (b) -0.08 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from ipddudi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 8842*h + 115284.\nAnswer: -2*(h - 13)*(h + 4434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128301 and -0.3.\nAnswer: 38490.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 - -226. Which is the nearest to 0.04? (a) -0.2 (b) i (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 73*c + 16. Let v(d) = -37*d - 3. Give 4*k(i) + 7*v(i).\nAnswer: 33*i + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/17070 and 69\/19915.\nAnswer: 119490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2154 + 1815 + 1159)*(4*x**2 - 5*x**2 + 2*x**2) to the form q + c*x + j*x**2 and give j.\nAnswer: 5128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 31*d - 66. Let b(p) = p**2 - p + 2. Let g(a) = 2*b(a) - 2*f(a). Determine q, given that g(q) = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 6*p. Let q(g) be the third derivative of -g**5\/60 - g**4\/24 + 4*g**2. Let v(u) = b(u) - 3*q(u). What is the second derivative of v(h) wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -336, -2384, -7866, -18498, -35996?\n\"Answer: -286*i**3 - i**2 - 43*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 + 11 + -14 - (-32 + 2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*a*d**2 - 43*a*d + 192609*a + 175*d**2 - 173*d - 49 wrt a?\nAnswer: -30*d**2 - 43*d + 192609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 106*q + 21. Let f(b) = -186*b - 38. Let n(p) = 3*f(p) + 5*o(p). Let h(v) = 1. What is -18*h(t) - 2*n(t)?\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7. Let c(y) = -52. Let w(u) = 6*c(u) + 44*p(u). Let x(i) be the second derivative of i**3\/6 + i**2\/2 - 192*i. Give w(n) + 6*x(n).\nAnswer: 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0 + 3\/2*j**3 + 1\/12*j**4 + 2*j**2 + 13*j + 1\/30*j**5. What is the first derivative of h(w) wrt w?\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 9. Let n(t) = t + 2. Calculate the remainder when n(3) is divided by x(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 9 - 1) + -2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0157*1120601\nAnswer: 17593.4357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/2 + 1877*v**2\/2 - 249334*v = 0.\nAnswer: -2113, 0, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 4*f**2 - 3*f. Let s be l(2). Suppose 0 = -2*g + 4*u + 20, -7*g + 3 = -4*g + 3*u. Differentiate -s*h**2 + 2 - 1 + 5 - g wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**3*p**3 - 44*f**3*p**2 - 151*f**3 + 4*f**2*p**3 - 2*f**2 - 3*f*p**3 - 2*p**2 + 144 wrt f?\nAnswer: 72*p**3 - 264*p**2 - 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.531 times 0.5?\nAnswer: -1.2655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -13. Calculate the smallest common multiple of 3 and 128\/16 - (2 - l).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -12*k + 20. What is the third biggest value in 0.11, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 4*p + 2. Let v(x) = -233297*x**2 - 71 + 72 - 3*x + 233298*x**2. Calculate 2*h(m) - 3*v(m).\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - d + d)*((3*d**2 + 0*d**2 - d**2)*(-2 + 2 - 2*d) - d**3 + 2*d**3 - 3*d**3).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 22*b**2. Let d be (-21)\/(-2)*56\/21. Suppose d = 3*s + s. Let n(y) = 9*y - 4*y - s*y. Give c(n(q)).\nAnswer: 88*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6725828?\nAnswer: 2, 241, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 4729?\nAnswer: -4734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195301839\/2812 - 69453. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47483 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 6*p - 4. Let v be y(-7). Suppose -h + v = -7. Suppose -3*d - 20 = -2*b, -h = 2*b - 3*b + d. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**2. Let l = -32 - -32. Let o(k) = k + 8. Let h be o(l). Let w(m) = h*m - m**2 + 0*m - 8*m. Determine f(w(i)).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -16. Let r be (-6 + 4)\/(a\/(-6)). Suppose -3*j + 669 = -4*t, -j - 3*j + 892 = r*t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - 122155\/26100) + 126\/72 and -59\/1015?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11\/l**(-7))\/(l**(-1\/5))**(-1\/5) assuming l is positive.\nAnswer: l**(449\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 937.8803 centuries?\nAnswer: 9378.803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3\/10))\/((k**8\/k)\/k)*(k**6*k)\/k**(-1\/15))**38 assuming k is positive.\nAnswer: k**(1007\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -124*p**3 - 6*p**2 + 511*p. Let w(g) = -364*g**3 - 16*g**2 + 1532*g. Let v(o) = 8*t(o) - 3*w(o). What is the second derivative of v(j) wrt j?\nAnswer: 600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24170*-3\nAnswer: 72510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2862*t - 1016012. Calculate d(-355).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-2)\/6*5. Let a = -0.6 - 2.7. Let x = a + 0.3. What is the third biggest value in c, x, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -1199*j**6\/2 + 1840*j**3\/3 + 2*j - 1703. What is the third derivative of k(r) wrt r?\nAnswer: -215820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, e: 2, i: 12}. What is prob of sequence ii?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -2\/17 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318.93453us to days.\nAnswer: 0.000000003691371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/3 + (-4)\/(-6). Suppose 0 = h*g - 1227 + 436. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 6*z**2 - 8*z + 10. Let a be v(7). Suppose 5 = 2*h - a. Solve 0 = 2*r - h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.3184 - -43.34. Let t = 0.0216 - g. Let y be 10\/(-4)*(-3)\/30. Which is the nearest to y? (a) t (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 63*w**2 - 135*w + 230. Determine u(65).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-5 - -1) + -44 + (27 - -38).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1.4. Let p = v + -0.46. Let f = -1.06 - p. Round f to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 = -3. Suppose -d + 5*x - p - 2 = 0, -4*d - 4*x + 52 = 0. Let v = d + -6. Solve -v*r + 6 = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 - 2*b**2 + 3*b + 15. Factor x(k).\nAnswer: (k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, -4, 1\/5, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 - v + 2. Let i be p(-2). Suppose z + 22 = 27. Let s(d) = d**2 - 2*d - 20. Let m be s(z). Sort 1, i, m in ascending order.\nAnswer: m, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.3, -0.03925, 3, -23, 0 in descending order.\nAnswer: 3, 0, -0.03925, -0.3, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359285 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143700.\nAnswer: 2, 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**8\/1680 - t**5\/120 + 2*t**3\/3 + 3. Let h(m) be the third derivative of n(m). What is the second derivative of h(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 3*h - 42. Suppose 0 = -s + 2*s - h. Let t = s - 11. Solve t*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + j**2 + 4*j**2)*(-j**2 - 3 + 3) + (-j**3 + 3*j**3 - 5*j**3)*(2*j - 4*j + 5*j).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -349.620975+-0.4\nAnswer: -350.020975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683*j + 246 = -724*j. Let u(c) = c**2. Let f(n) = -n**2 + 4*n - 1. Let m(k) = f(k) + 5*u(k). List the prime factors of m(j).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-178)\/(-89)*(-4)\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuhuuuuuuunnu. What is prob of picking 2 u and 1 n?\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6.76 - -4.511585808\nAnswer: 11.271585808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 224 + 2*y + 224.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 2, y: 1, g: 2, u: 4}. Give prob of sequence hy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(2*c + c - c) + c + 13*c + 3*c)*(-3 + 1 + 0).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 2:59 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:19 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - d + 1. Let z(a) = 17*a**3 + 6*a**2 + 18. Let m(q) = -6*s(q) - z(q). Calculate m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3.2, -146, 3, -1\/10 in descending order.\nAnswer: 3, -1\/10, -3.2, -24, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -16. Let o be (15\/7)\/(-2*1\/(-63)). Let l = o - 66. Do t and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4835219.\nAnswer: 47, 102877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*h + 11 = -h, -5*s - 4*h + 29 = 0. Suppose 15 = 2*t + s*m, -4*t + 2*m = m + 3. Solve 4*b - 4 + t = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = b + 138. Are b and 21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4207900 and -1.4.\nAnswer: -4207901.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 252. Let c(w) = -5 - w + 3 + 5*w. Let d be c(4). Calculate the greatest common factor of d and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.16 - 44. Let u = q - 0.16. Is u greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q**2 + 2*q - 2. Let a(t) = 23*t**2 - 6*t + 46. What is -a(w) - 2*g(w)?\nAnswer: 3*w**2 + 2*w - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -32. Suppose -q = -3*j - 3*q + p, j = -4*q + 12. Solve -11 = 3*g + j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 2\/11 (c) -15 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80 - 131?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -13) + 24 + (0 - -23)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3503 is divided by 1024?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgg when three letters picked without replacement from zzgpmzppsggppz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:20 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -5*u, 0*u + 16 = 3*h + 2*u. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2375\/468 - 40\/117. What is the common denominator of o and -131\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754274 divided by 4.\nAnswer: -377137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/104 and 8\/2067?\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 12 = 6*r. Let o be (1 + 2)*(-8)\/r. Suppose -o - 7 = -3*d. Solve -5*v - 20 = d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -440*r**2. Let b(c) = 17*c**2. What is k(b(a))?\nAnswer: -127160*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295.7 + 295.695445. What is x rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16360 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euihx. Give prob of sequence uxh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q + 140. Is 59 a factor of f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 18*n + 697. What are the prime factors of z(-34)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9252.5 * 0.198.\nAnswer: -1831.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(2*(-1)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, r: 1, h: 2, m: 1, g: 8}. What is prob of sequence rggh?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*l + 5*m, -5*l - m - 331 + 311 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 - -9)*(-4)\/6. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15629840 rounded to the nearest 1000000?\nAnswer: -16000000","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: Let h(q) = 4*q - 45. Let w be h(11). Let s be -2 + -1 - (w - 6) - -1. Suppose 3*g - 5*y - 420 = 0, -s*g + y - 5*y = -700. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -21100?\nAnswer: -21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -178 + -264584?\nAnswer: -264762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/24 - h**3\/2 + 2*h**2 - 3*h. Let f(s) be the first derivative of v(s). Let j(w) = -2*w + 5. Give 7*f(y) + 4*j(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -20*y**2 + 38425*y - 9605 = 0.\nAnswer: 1\/4, 1921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -11. Let o = -220 + 233. What is the remainder when h is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170710561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 513 and -0.02.\nAnswer: -10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104391281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 13. Let c(b) = -b**2 + 11*b - 12. Let i be c(8). Let n be (-40)\/i*(1 + -4). What is the greatest common factor of n and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324520 divided by -5320.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.301424 in 38, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l**2 - 7*l. Let y be a(1). Let j(w) be the second derivative of -1\/4*w**4 - w + 0 - 1\/2*w**y + 0*w**3. What is the first derivative of j(c) wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4912 - 2344. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/63)\/((-6)\/45).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 14*s**4\/11 - 169858*s**3\/11 - 3621808*s**2\/11 - 1020936*s\/11 = 0.\nAnswer: -21, -2\/7, 0, 12154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 173. Let f = -85165 - -85222. Calculate the highest common factor of f and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01193368 rounded to 4 dps?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a1aa (base 14) in base 10?\nAnswer: 27786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4 - 21*l**2 - 395 - 36*l**3 - 111*l**3 + 9*l**2 + 12*l**2 wrt l.\nAnswer: 4*l**3 - 441*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from eeeeeehheeheee?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8058, 8087, 8116, 8145, 8174, 8203?\n\"Answer: 29*x + 8029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2421)\/6456)\/((-1590)\/160).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/73? (a) -47 (b) -1 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699884.8 minutes to seconds.\nAnswer: 41993088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 5 + (-3 + 1 + 1)*(-34 - 1 - 8))*(q**2 - q**2 + q**2).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/21584*213 + (-110)\/456.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156531, 313060, 469589?\nAnswer: 626118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/(m**7\/m)*m\/(m**(4\/5)\/m)*m*m\/(m\/(m\/(m*m**(-1\/9)*m)))*m assuming m is positive.\nAnswer: m**(-346\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v + 68*v + 48 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 1:56 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**4 + 532*c**3 + 8627*c**2 + 22120*c + 2352.\nAnswer: (c + 3)*(c + 28)**2*(9*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/64)\/((-2)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 52*x**2 - 339*x + 3. What is c(8)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 362089000 rounded to the nearest 1000000?\nAnswer: 362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 9:39 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -6. Let y = -10 + r. Let x = -0.9973 - y. What is x rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (13 + 5)) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t - 4*t)*(-1 + t + 2*t - 5*t).\nAnswer: 6*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + 2 + sqrt(304) + -1 + 1)**2*-4*3.\nAnswer: -3660 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/7, -2\/21, 0 in decreasing order.\nAnswer: 3\/7, 0, -2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99175790 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - 0.1861578\nAnswer: -1.5861578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 2*z**2 + 2*z + 72. What is the units digit of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.4 + -19.4. Let u be (-3 + (-3)\/(-2))*(-28)\/(-231). What is the nearest to x in 1, u, -2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37189*m - 2 - 37170*m + 74359*m + 2 + 110*m**2.\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 330 + -159?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 8*h**2 - 7*h - 1. What are the prime factors of o(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2244 - -11?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let x(h) = -2*h + 8. Let z(o) = 1. Let s(g) = 3*x(g) - 24*z(g). Determine s(q(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -6*w, 5*d - w = 59. Find the common denominator of (d\/(-16))\/(3 + -9) and ((-1)\/45)\/(2\/(-685)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from iilmimi.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9321997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325\/2 - -213. Find the common denominator of d and (3 - (-473)\/(-143)) + (-6)\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -9. Suppose 0*i = -i + 4, 5*i = -2*m + 22. Let u be (m\/(-3))\/(2\/(-18)). Solve -2*s = -3*s - 5*r + c, -4*s + u*r + 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/15 + o**4\/24 + o**3\/6 + 29*o**2. Give n(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716901199 to the power of 1\/2, to the nearest integer?\nAnswer: 52124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2605537 = -80*b - 2613777 for b.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 11 - 5. Suppose m*k + 0*u - 5*u - 42 = 0, 4*u = 3*k - 70. Let o(r) = 14*r + 107. Calculate the remainder when k is divided by o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 64 = 4*v, 5*v - 32*d + 36*d - 67 = 0. What is the remainder when 402 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbfqabmbmzbqbq. What is prob of picking 1 f and 2 q?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -9*m + 4*m - h, m + 2*h + 10 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 2. Let a be b(-8). Suppose u - d = 35, -u + 54 = -2*d + a. What is the remainder when u is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -5, -1\/7, -82?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168*z + 49 wrt z.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v + 40*v = -40*v + 5*n - 33, 4*v = 5*n + 63 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466861108.\nAnswer: 2, 7, 1361, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6443.9664 + 6444. What is the biggest value in -0.3, -2, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 129*z. Let f(g) = -g**2 - 4*g + 23. Let a be f(-7). Let c(h) = -11679 + 11679 - h**a. Determine c(p(s)).\nAnswer: -16641*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:44 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004437754 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(91)\/(sqrt(14)\/sqrt(2)) - (sqrt(78)\/sqrt(6) + -4))**2 - ((1 + sqrt(13) + -4)*-4*5)**2.\nAnswer: -8771 + 2408*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1434 (base 8) to base 6\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 802172.\nAnswer: 9626064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 3*c + 8. Suppose 0 = -0*v + 5*v - 15. Let t(z) = -2*z**2 - 4*z + 7. Let n(y) = v*h(y) - 4*t(y). Let w be n(6). Solve -x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 2*f - 5*f + (-1 + 1 - 2*f)*(-25 - 42 - 52).\nAnswer: 237*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, 5, 1 in decreasing order.\nAnswer: 123, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 5 - (1 + 0). Let v(q) = -3*q - 4. Let z be v(c). Let u(x) = -57 + 4*x + 56 - 5*x. Determine u(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzzzuzzzzzuzz. Give prob of picking 2 z.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let o(v) = v - 4. Let k be o(0). Let p = -4 - k. Let j(a) = p*a - a - 2*a. Determine r(j(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-187) - (-417)\/(-418). Let y = -6\/19 - a. Suppose -2*j = -0*j. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 d, and 1 k when three letters picked without replacement from gvdgkkhokkggov?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t - 2. Let y be v(-2). Let a = y + -6. Let h be 3\/(-4 + 3) + 4 + 7. Calculate the highest common divisor of a and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 - 367789896*y\/5 - 8454337974980676\/5.\nAnswer: -4*(y + 45973737)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*j = 87*j - 35280. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(49))\/sqrt(7))**2 + sqrt(7)*2 + -1.\nAnswer: 2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3*o + 4. Let r be x(-3). Suppose f = r + 1. Let t(d) = -10*d + 2. Let h(k) = k - 2218 - 2224 - 2225 + 6667. Calculate f*h(m) + t(m).\nAnswer: -5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * 14894574.\nAnswer: -1266038790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v - 8. Let t = -524 - -518. Let n be (-6)\/(-1) + -1 + t\/(-2). Calculate f(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 31\/3, 23\/398672?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 580*f**3 + 10*f**2 - f - 14. What is the remainder when a(2) is divided by 146?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 42 + 11*y**2 - 63.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394121511 is divided by 3042.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 4 - 11*w**3 + 11*w**3.\nAnswer: w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271222400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + (-45 + 91 - 38)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*m**2 + 26 - 193*m**2 - 26.\nAnswer: -232*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -37. Let y be 0 + -1*(-6)\/2. Suppose -y*k = 5*h - 27, -2*h = -4*k - 3 + d. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 13107410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10342 + -10339. Solve -9 = 2*a - 5*p, 9*p = 10*p - h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2 - 1 - 750*o**3 + 12*o**2 + 749*o**3 - 10*o. Determine j(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 134*p + 2553. Calculate c(-151).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 244849 + -128?\nAnswer: 244721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 234200 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 9. Let o be 99*((-4)\/3 + 2). Suppose 3*z + 2*d - 17 = 15, -3*d - o = -5*z. Let n be w(z). Solve 4*i + 31 = n*j, -4*i + 4*j = -0*j + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 384679 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from iejehccp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/12 + 5*d**3\/3 + 59*d**2\/2 + 57. Let k(o) be the second derivative of x(o). What is k(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 38636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240736 divided by -2?\nAnswer: -120368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0, -0.14, -12, 8, -2\/25?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 5 = 35. Let u(r) = r**3 - 7*r**2 - 8*r - 5. Let f be u(8). Sort f, 1, 3, w in decreasing order.\nAnswer: 3, 1, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p + 17*p - 15302*p**2 - 52*p + 23*p.\nAnswer: -15302*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*r**3 - 42*r**3 - 48*r**3 - 31*r**3.\nAnswer: -277*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*k - 24 = -3*k, -3*z + 4*k - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.2911104 - 86\nAnswer: -84.7088896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*c = 8, 5*m + 5*c = 2*m - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4892 divided by 23885?\nAnswer: 4892\/23885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5 + 3*q**2 - 2*q**2 + q**2 + 5*q. Let o be m(-4). Suppose -5*j = 5*p - 75, 78*j - 78 = 74*j + 5*p. What is the greatest common factor of o and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.89*-1155\nAnswer: -49537.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 4. Let k(y) = -1. Let b(j) = -3*k(j) + l(j). Let u = -162 + 159. What are the prime factors of b(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6311 is divided by 3059?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:24 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1926*r = 105*r + 145680 for r.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 + 129. What is the nearest to c in -1\/3, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8291 + 3397 = 4*j + 5*n, 5*n + 5814 = 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 186a - 43?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 x when three letters picked without replacement from xhhoxoho?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 92526 (base 11) to base 2\nAnswer: 100000111110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 10\/((-5)\/(-1)) - (-60 + 11 + -5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35.37 in 5, -2, -0.2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11. Let z(o) be the first derivative of -1 + 2*o - 2\/3*o**3 + u*o**2. Solve z(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 6*t**2 - 3*t - 7. Let m be o(-5). Let x = -8 - m. Let b(q) = q**3 + 7*q**2 - 2*q - 10. What is the lowest common multiple of b(-7) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*z + 260*z = 136*z + 10. What is the closest to -1 in z, 5, 197?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let l be (15\/30)\/(n\/24). Let c = 13 + l. Sort -4, -2, c.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.052 + 0.1472071604471\nAnswer: 0.1992071604471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176235 divided by 1.\nAnswer: -176235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -5.2 and 253740\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -112, -228, -344, -460?\n\"Answer: -116*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10402 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2786208.57 - -6.94.\nAnswer: -2786201.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -5*c - 5*s - 27, -5*c - 3*s = -109. Is 4\/10 + 10052\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -632.6+473352\nAnswer: 472719.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 53\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, 4*s - 3*r + 4*r - 8 = 0. Let x be (s - 1)*(-2)\/(-10). Let m = -508768 + 508768. What is the biggest value in m, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -32*n**3 + 14*n**2 + 11*n + 261. Let x be m(-9). What is the highest common factor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66180 divided by -16545?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44121899 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**5\/10 + 5*c**4\/4 - 11*c**3\/2 + 10*c**2 - 8*c + 201. Factor m(g).\nAnswer: -(g - 4)**2*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4144, 4142, 4140?\n\"Answer: -2*a + 4146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 20001300?\nAnswer: 20001303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 26*q**3 + 2*q**2 + 2*q**2 - 1 - 820*q + 818*q + 0 in the form u*q + i*q**2 + m*q**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -27\/53 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Solve 5*i - 3*b - 41 = -13, 14 = f*i + b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 147*p - 6.\nAnswer: -147*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 39.51762 millennia?\nAnswer: 395.1762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36384, 36292, 36196, 36096, 35992?\n\"Answer: -2*x**2 - 86*x + 36472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 52. Suppose 0 = g*p + 33*p - 216. Solve -p*z = z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/(n*n\/(n\/(n*n**(-1\/7)))*n))\/n))\/n**(-5))\/(n**(-1))**45 assuming n is positive.\nAnswer: n**(370\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*z + 727*z + 12266 = -65786 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = -3*p, -5*p = -2*p + 2*o - 7. Suppose h = -p, 0 = -2*n - 4*h - 69 + 5. What is the common denominator of -56\/5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - 0.08. Let o = b + -0.03. Sort o, -0.1, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-18)\/7*3)\/(6\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 639 + -d7?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -15. Solve t = -6*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -20*u**3 - 322*u**2 - 329*u + 7. Determine b(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o*o*o**(-1\/4)*o)\/o)**(-28) assuming o is positive.\nAnswer: o**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28430*t**2 + 2*t + 29335 wrt t.\nAnswer: -56860*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110) + sqrt(110) + (sqrt(110)*2*1 - sqrt(110) - sqrt(110)) + sqrt(110))*1)\/((2*sqrt(1960) - sqrt(40))\/(4*-1*sqrt(4))).\nAnswer: 12*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2610 - -3509. Does 211 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*v**3 + 96*v**3 + 62*v**3 - 243*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 52*r**2 - 5*r - 5. Let p(j) = -13*j**2 + j + 1. What is -2*c(b) - 9*p(b)?\nAnswer: 13*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/10 + 979*r**2\/10 + 1961*r\/10 + 981\/10 = 0. Calculate r.\nAnswer: -1, 981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -16. Let p = o + -5. Let r(g) = -g**3 + 3*g**2 - g + 1. Let h be r(p). Let b(j) = -j - 1. Give b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7474 and 193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 14\/16113907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(1\/(-3)) + 0 - -1. Let d be (1 + -3)\/h - (-98)\/84. Which is the closest to -3? (a) -0.5 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 1601430590*x + 128228996729387405.\nAnswer: 5*(x + 160143059)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 bigger than 413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 3*t + 55 = 2*p, t = 3. Let u = 17 + p. Let h be u\/(-1)*(2 + 0). Which is the closest to 1? (a) h (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9268 - 3674. Let t be -2*(-1 + 2) - 3625. Let l = t + g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-8) + (-130)\/520. Let r(o) = o**2 - 14*o - 1. Let d(q) = q**2 - 15*q - 1. What is p*d(l) - 4*r(l)?\nAnswer: l**2 - 19*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*d + 356*d = 190 + 505 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 24547 = 13009 + 33004. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 + 8072*l\/3 + 48459\/2.\nAnswer: -(l - 16153)*(l + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 3. Let g = -4502 - -4513. Let b(h) = h**2 + 4. Let l be b(0). Let d(i) = -6*i**2 + 8. Calculate g*v(a) + l*d(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94599240611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263 - 257. Solve 0 = n + w + q, -4*n = -4*w + 11 + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -12 - (1 + 4)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 19677.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6534 and 1418769.\nAnswer: 31212918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 9, k: 7, c: 3}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 47*w + 287. Let a be p(12). Solve 0 = a*u - 18 + 73 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1842, -1866, -1918, -2010, -2154, -2362?\n\"Answer: -2*x**3 - 2*x**2 - 4*x - 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u*u*u**(3\/19)*u*u*u)))**5*u**(3\/7)*(u\/(((u\/(u\/u**(-30)))\/u*u)\/u))\/u)**(-5\/3) assuming u is positive.\nAnswer: u**(-41375\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10283 = 7*f - 11018. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-504) - (-6)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**3 - 22*l**2 - 14*l + 5. Is t(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q - 2*q + q + 3*q + 34*q**2 - 1. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y**2 + 955*y + 45. Give u(-56).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6798738794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 45. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.45 * 5\nAnswer: -12.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*r**3 + 274*r**3 - 3*r + 3*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 941 (b) -4 (c) -5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -170 and 9?\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34, 388, 1342, 3196, 6250, 10804, 17158?\n\"Answer: 50*i**3 + 4*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*b**(-3))\/b*b*b))*b\/(b*b**(-3\/11))*b*b**(-2\/13)*(((b**(-4\/7)*b)\/b)\/b)\/b)\/((b**(3\/2)*b)\/b*b**9)**(3\/26) assuming b is positive.\nAnswer: b**(-14671\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-9 + 44 - -50).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-380)\/(-50) - (-3)\/(-5). Let h(b) = b**3 - 6*b**2 - 6*b - 8. Let t be h(d). Is -7*(-2 + t) + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l**2 + 117*l - 708. What is f(7)?\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 4*g**3 + 3*g**3)*(g - g + g) + g - 2*g**4 - g + 3*g - 3*g - 3*g**4.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-3))\/2*9. Let q(r) = -7*r**2 + 5*r - 7. Suppose -138 + 62 + 66 = 2*v. Let s(p) = -8*p**2 + 6*p - 8. Calculate a*q(o) + v*s(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/5, -2, 74?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/4 - 1638359*g\/4 - 1638357\/2 = 0.\nAnswer: -1638357, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72543018697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 1, u: 4}. Give prob of picking 3 u and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {q: 2, d: 2, c: 1, a: 7, g: 1, o: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 24\/15 - (-432)\/20. Calculate the greatest common divisor of j and 315.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8993 - 653.5993. Round j to the nearest 10.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*u**3 + 65*u**3 - 30*u**2 - 118*u - 6 + 28*u**2 + 2*u**4 in the form d*u**2 + r*u + k*u**3 + n + p*u**4 and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000113106 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 974 = 20. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q - 2. Let l(j) = 5*j - 1. Suppose -4*z + 36 = -0*z. Determine z*l(d) - 4*n(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 45623 - 16114 = 0. Let a(w) = -w**3 - 6*w**2 - w - 1. Let m be a(-6). Suppose m*o - 255491 = z. Round o to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*s**2*w**3 - 48*s**2*w**2 - 6*s**2*w - s*w**3 + 2*w**2 wrt w.\nAnswer: -744*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -690*k**5 + 13*k**2 - 480*k.\nAnswer: -13800*k**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 2*v**4 - 2*v**3 + 3*v**3 to o*v**2 + h + k*v + d*v**4 + p*v**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(4\/13))*z*z)\/(z\/z**(-2\/7))*((z*z**(-1\/10))\/z)\/z*z\/z**(-1\/7) assuming z is positive.\nAnswer: z**(-501\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30915 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*w - 4 = h, 0 = -5*w - 25. Suppose 2*d + 28 = -3*o, 0 = -d - 2*o + 3*o - h. Suppose 36*g + 248 + 40 = 0. Is d <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-365)\/75 + 4\/20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*r + 0)*(0*r + 0*r + r**2) + (0 + 0 + r)*(-19*r**2 - 11*r**2 + 71*r**2 + (-1 + 1 + r)*(-r - 2*r - r)).\nAnswer: 41*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 701373, 1402813, 2104253, 2805693, 3507133, 4208573?\nAnswer: 4910013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 7, n: 3, h: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i = 28*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1770*f + 1772*f - 16 = 4*a, -16 = 4*a + 9*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -24d586a?\nAnswer: -24d5867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 3462328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 65*n = -2242. Suppose 3*h - 559 - n = 3*v, v = -5*h + 2806. Is 51 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*p - 13 = 0, -3*p + p + 29 = 3*o. Let r(b) = -b**3 + 23*b**2 - 206*b + 2915. Let a be r(20). Put o, a, 5, 2 in decreasing order.\nAnswer: o, 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/(-48)*44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-12)*(84\/20)\/(3\/1)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -665*y**3 + y**2 + 9*y + 8. Is 9 a factor of l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54144 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 27 = 2*t + 3*y, 0 = 5*t + 5*y + 5. Let b(d) = -11*d + 13. Let m be b(t). What is the tens digit of ((-20)\/(-8))\/(0 + 2\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*c + 2654 = 614 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 10. Let o be r(-13). Let q be 4 - 0\/(0 + o). Let d be 0 + 0 + 4\/q. Solve -2*t - 9 = -d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/15)\/(32\/(-8400))?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3321 - -33122?\nAnswer: 23201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j**2 + 226*j - 54. What is the remainder when 3959 is divided by s(20)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**0\/q)\/q)\/q)**37*(q**(-9)*q)\/q*q*q**(-2\/5)*q**(-5)*q*q**(4\/3)*q**6\/q**(-5\/2) assuming q is positive.\nAnswer: q**(-1187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/11*1 + (4320\/495)\/48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -996113\/23 or -43310?\nAnswer: -43310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/72 - -14)*((-82)\/20 - 40\/(-10)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 77.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -13. Solve 1 = -t - v, -3*v - h - 3 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 5*c**2 - 20*c**2 + 3 + 10*c**2 + 7*c**2. Let t(u) = -11*u**2 + 11*u - 17. Determine 34*f(l) + 6*t(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.05 + 0.05. Let g = -7 - -2. What is the second biggest value in n, 4, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 11 - (-19 + 2 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 762527\/4 bigger than 190631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 + 9. Let u be s(0). Calculate the highest common divisor of u and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(448) + 1)*-1 - (((sqrt(448) - (sqrt(448) - (sqrt(448) - sqrt(448)*1))) + sqrt(448))*6 + 5)) + 3)**2.\nAnswer: 1232*sqrt(7) + 54257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 106 + 113 - 2*l - 219. Let z(u) = u**2 + 1. Let g(q) = 3. Let f(w) = g(w) - 3*z(w). Calculate p(f(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -89441, -179005, -268685, -358481, -448393, -538421?\n\"Answer: -58*i**2 - 89390*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -111\/2, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3060\/68*(-3 + -4)\/(-168)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 13 = -6*i + i, 2*i + o - 5 = 0. Let m(q) be the second derivative of 37*q - 1\/70*q**5 + 0 - 8\/21*q**3 + 16\/7*q**i - 1\/6*q**4. Factor m(u).\nAnswer: -2*(u - 1)*(u + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {i: 1, k: 4, x: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*c - 71, 2*o - 5*o + 5*c = -27. Suppose -156 = 7*l - 11*l. Calculate the remainder when l is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*t = -71*t - 2790. Which is smaller: t or 1398\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.5. Let c(u) = -11*u + 89. Let b be c(8). Sort d, b, -2.\nAnswer: -2, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0148035 rounded to four decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by 226?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9521 + 4838. What is the highest common divisor of 83 and s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3442817*u**2 - 3442815*u**2 + 5*u - 3*u - 2*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -27, -48, -0.2, -36496?\nAnswer: -36496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 17*j - 56 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-254.6.\nAnswer: -5346.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*y**4 - 62*y**3 + 186*y**2 - 135323472*y wrt y?\nAnswer: 180*y**2 - 372*y + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 21\/4. Let p(k) = k**3 - 6*k**2 + 5*k + 4. Let r be p(x). Differentiate 4 + 2*b**r + 0*b**4 - 1 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3, 1453.79, 4?\nAnswer: 1453.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2504)*(-6)\/3. Let w = t + -4975\/6886. Let v = 6 + -8. Is w at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 4c9?\nAnswer: 4c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4455*u**2*v**2 - 2*u**2*v + 19*u**2 + 172*u*v**4 - 91*u*v + u - 6 wrt v.\nAnswer: -8910*u**2 + 2064*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -168183674 and -846?\nAnswer: 168182828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2686 and -0.7.\nAnswer: -1880.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2 - 4 + 19*r + 4 + 8. Let i be u(6). Calculate the greatest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138 + 208. Let m = -17 - -17. Is i bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-96) + 0)\/((-18)\/16)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - 3*x)*(0 + 2 + 0)*(x + 2*x - 6*x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*o**2 + 8 + 99*o**2 - 40*o**2 - 602*o**3 + 154*o**3 wrt o.\nAnswer: -2688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -89.94702.\nAnswer: 110.94702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -577*z**3 + 11*z + 11. Let m(w) = -115*w**3 + 2*w + 2. Give 33*m(i) - 6*q(i).\nAnswer: -333*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89538791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p + 4 = 0. Let i(n) be the second derivative of 0*n**2 + p*n - 1\/2*n**3 + 0. Let h(b) = 2*b. Determine h(i(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*b + 28, 15 = -b + 2*b + 5*k. Suppose b*i - 6 = -16, v = i + 7. Suppose -a - 8 = v*h, -2*a + 12 = -3*h - h. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -28780344.\nAnswer: -28780344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 9:06 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 41. Let t = -4 + o. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 1)*(-32)\/6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-107)\/(-8) + -1 and (-115)\/20*2\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307\/1628 + -1\/148. Let r = 523 + -528. Let t = -0.064 + -6.936. What is the second smallest value in r, t, v, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 7 + 9)*(0 - 3 + 4)*(1 + t - 1).\nAnswer: 43*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -243?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88555d (base 15) in base 10?\nAnswer: 6498088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h - 3 + 3)*(0*h**2 + 5*h**2 - 4*h**2) + (1 + 1 + 0)*(h**3 + 3*h**3 - 3*h**3) to q + d*h**3 + l*h**2 + o*h and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 6\/((-12)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -526837 * -0.21.\nAnswer: 110635.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541054131.\nAnswer: 3, 29, 59, 105407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/9 and 25\/222?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + (-5 - 16 - 17)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 33. Suppose -5 = 3*i + 3*m - 50, -m - z = -i. Let d = i + 3. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-967)\/2*(3 + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603 divided by 9.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 8. What is the lowest common multiple of 6 and 7\/14 - 31\/o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 - 2*h - 6. Let a be l(-4). Let v = 55 + a. Calculate the remainder when v is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3*s - 2*o**3 - 2498*o - 553*s wrt s?\nAnswer: o**3 - 553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*p + 165*p. Solve 0 = -4*k - 3*s - 23 + 10, p = -4*k + 3*s - 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:50 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/663 and 81\/104.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 7 - (-10 + 5)) + 6 + -30?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1561261 * -0.07.\nAnswer: -109288.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 3 + 3*sqrt(605))*1.\nAnswer: 3 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*r**6 + 2*r**4 + 3*r**3 - r**2 + 8*r - 40 wrt r.\nAnswer: -44280*r**3 + 48*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*f + 25, 3*o - 2*f + 13 = -17. Let c(l) = -7*l + 7. Is 25 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/54 and 30\/11.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-5 + 5 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -4*n + 2*f - 14, -f = -2. Let i = n - -91. Suppose -3*a + i = 4*b, 5 + 20 = 5*b. Solve -c - a = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 - (-22 - 6)) - (4 - 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 19*a + 192. Let i be g(-18). Is i smaller than -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 9 + 13. What is the greatest common divisor of 10 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -10102120302?\nAnswer: -10102120311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 457 (base 14) to base 11\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 5, s: 1, n: 6, u: 2}. What is prob of sequence iin?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:58 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 - 7*o + 16. Give k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6272 and 3767316?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + (-9 - -4))\/(2\/(-2)). Let h = 25 + -24.6. What is the nearest to -6 in -3\/7, h, a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 39. Let z(l) = -2*l + 6. Let o be z(j). Is o\/14 + 592\/14 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(475)*-2 - 2*(sqrt(475) - (sqrt(475) + sqrt(475) + 0)))**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361257 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, e: 2, w: 2, l: 4, j: 5}. Give prob of sequence ft.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 50739152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 23 + ((-11811)\/(-1524))\/(1\/(-4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404 plus -4229.8?\nAnswer: -5633.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-10))\/(28\/(-70)))\/(994\/(-1491))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -336.1 plus 11.38?\nAnswer: -324.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155896.\nAnswer: 2, 13, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 287378839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.018 in -2\/11, 5, -3, -37681?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5076 + 11836. Is l a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1190350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*k - 16, -86*c = k - 84*c - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206110 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -55\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31009 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 2*b**2 + b - 2. Let g be z(2). Let f(u) = 2*u + 14. Let i be f(g). Let h = i - 12. Solve h*j + 17 = 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22225 + -16.6763.\nAnswer: -16.89855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 711*h + 1. Let g(l) = -24*l. Give g(x(n)).\nAnswer: -17064*n - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.55162 plus 0.1954448?\nAnswer: 6.7470648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -4*i**2 + 4*i**2 + 4*i**2 - 3 - 9*i - 4. What is the tens digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 4 = -7*c. Let j(n) = 1. Let h(l) = 2*l**2 + 2*l + 8. Determine c*h(t) - 5*j(t).\nAnswer: 2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 3*c = -2*v + 3*v - 76, -3*c + 200 = 3*v + 176 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 - 2*p**2 + 3*p - 1. Suppose -2*a = 3*l + 19, -l = l - 3*a - 9. List the prime factors of s(l).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 2*-4*sqrt(117) + sqrt(117))\/sqrt(9))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 + 2*l + 3. Let n(i) = 3*i**3 + 25*i**2 - 6*i - 9. Calculate 2*n(w) + 7*s(w).\nAnswer: -w**3 - 6*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-32)*h*h**(2\/23))\/(h**(-33)\/h**(1\/21)))**14 assuming h is positive.\nAnswer: h**(64852\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-350)\/3*18\/(-60)*10 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 8\/103, -0.1, -5, 3 in increasing order.\nAnswer: -5, -1\/5, -0.1, 8\/103, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*f + r - 40, 2*f = -r + 16. Let l = -18 + 39. Calculate the remainder when l is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/1 + (-732)\/108. Let q = -0.5 + 0.4. Which is the closest to q? (a) -2\/3 (b) 2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, -247, -711, -1361, -2197, -3219, -4427?\n\"Answer: -93*i**2 + i + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 2*x**2 + x**2 - 22 - x**2 to the form r + b*x**2 + j*x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 35430*c**2 - 106251*c - 141684.\nAnswer: -3*(c - 11807)*(c - 4)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 - 1. Let n(x) = 7*x + 5*x**3 + 10 + 12*x**3 + 24*x**2 - 5*x + x**3. Let b(a) = 28*j(a) + 2*n(a). Determine k so that b(k) = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1232*r**4 - 45448*r**3 + r**2 + 4*r + 593205 wrt r.\nAnswer: -29568*r - 272688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 3, -1\/7, 1\/4, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19932)\/(-11627))\/((-6)\/56).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**3 + 252*m**2 + 2*m - 81. Let k be b(42). Solve 2*w - 3 = -5*x - 16, -k*w - 2*x = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509336265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 d when three letters picked without replacement from {t: 5, d: 1, f: 5, c: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18021013 is divided by 3133.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l, l - 3 + 18 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Suppose b*t - 19 = d, -t + 2*d = -5*t + 18. Suppose t*p - 8*p = -52. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-12 - (10 - 16)))*2*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*z + 16, -4*o - o = 5*z + 5. Let u be (-1)\/z - 28\/8 - -4. Let p be ((-4)\/(-60))\/(4\/5). Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3594453255 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/5, 1\/2, -54, 5, -593, -1\/2, -34?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20729.\nAnswer: 19, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*b**2*l**3*x - 108*b*l**3*x - 4*b + l**3 wrt b?\nAnswer: 118*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - -2)*(-663550)\/(-200) is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -657249006*f*o**2 + 362330342*o**2 wrt f.\nAnswer: -657249006*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1 - 3\/(-1)). Suppose p = 2*v + 18 - 34. What is the highest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*w + i + 10, 2*w = i + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-78)*9\/2. Solve -x*w + 20 = -8*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtigiittttitittg. Give prob of sequence ti.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 820 = 4*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 + 313. Let j = 181 - m. What is the second biggest value in 0.5, -2\/203, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34050066 is divided by 670.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -309\nAnswer: -6.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 7*w**2 + 8*w + 7. Let n be s(-8). Let x = 0 + n. Let q = 12 - x. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2294 and 662.\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666 and 37518?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7642 and 759.6?\nAnswer: -5804863.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8933*w + 4 - 867*w - 309*w - 6543*w.\nAnswer: -16652*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 902182241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 10*m + 988 + m**4 - 990 to the form q*m**3 + z*m**4 + w*m**2 + y + b*m and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347 and 11908346?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820125412?\nAnswer: 2, 43, 4768171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 - (-27 + 18) - (8 + -1)) + 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by 1.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 121 - -80ee?\nAnswer: 8220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*l = -3*c - 177*l + 6, 0 = -c - 4*l - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1337, -10765, -36349, -86165, -168289, -290797, -461765?\nAnswer: -689269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*u + 2*r, u - r + 0*r + 4 = 0. Let z = 0.8 - 0.3. Let j = -25\/21 - -16\/21. What is the third smallest value in u, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311461 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m - 4. Suppose -4*y = 3*k - 159 + 35, -m*y + 3*k = -100. Let d = y - 16. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2184 and 8894912?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4012 (base 5) in base 3?\nAnswer: -200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {j: 5, p: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/950698 and 65\/327.\nAnswer: 2852094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:27 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14)*21\/189*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03693 + -443.65?\nAnswer: -443.68693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1381 - -2050. Let b = -1718 + 1718. Suppose y = -b*y + x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 31*r - 7. Calculate g(26).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-160)\/(-5)))\/((-15)\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31452 - ((-3)\/(-9) + 18\/27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4200 - 4200.07. Let a = -0.08 - -3.08. What is the nearest to 2\/15 in n, a, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + (-19 - -19) - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/115 + 53\/23. Find u, given that -i - 6\/5*u**4 + 3*u**3 - 24\/5*u + 9\/5*u**2 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14116800?\nAnswer: 2, 3, 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 413 = -4*v - 52*w - 0*w, 0*w - 25 = 5*w for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 1*3*4\/(-6). Solve 2*i + i - 4 = c, -1 = 5*c + u*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*r - 3*c + 21, r - 14 = -4*c. What is the highest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 4*g + 9 = -8*v, -5*v = 4*g + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 10. Let m be c(-6). Suppose 4*t = -5*f + 298, 0 = 3*t + 2*t + 3*f - 379. Is t + (3 - 3)\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-4\/7))\/(b**6\/b)*b**(-2)\/(b*b*(b*b**(-2\/7)*b)\/b)*(b\/b**(-1\/5)*b\/(b*(b*b*b*b**(-8)*b)\/b))**(2\/7) assuming b is positive.\nAnswer: b**(-223\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000869031 rounded to five decimal places?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 + (-12)\/9. Let d = 6 + z. Is 6 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-12 + -11 - -7 - 13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.2 (b) -138227 (c) 0.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 - 4*b - 1. Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:10 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1\/12)*o)\/(o\/(o**(-16)\/o)) assuming o is positive.\nAnswer: o**(-181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.73604 kilometers to micrometers.\nAnswer: 94736040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(6)*1)\/(3*sqrt(539)))**2.\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -378 - -370. Let v(s) = -3*s - 15. What is v(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d + 91*d**5 - 87*d**5 - 2*d wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*s + 13. Suppose 1560 = -4*o - s*o. Let z = -34 - o. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y**3 + 0*y**4 + 1\/42*y**8 + 0*y + 0*y**6 + 26*y**2 + 0*y**7 + 0 - 2\/15*y**5. Find the third derivative of i(q) wrt q.\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -11 (b) 324 (c) 2\/11 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 11 = 5*c - 2*j, 13 = -5*c + j. Let x be 14\/c + (-2)\/6. Let n(k) = 6*k**3 + 5*k - 47*k**2 - 5*k**3 + 28*k**2 - 5 + 25*k**2. Calculate n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/213)\/((-3)\/6). Let g = b - -136\/639. Let u = -20 - -16. What is the third smallest value in g, -2\/7, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 - -1011000100111101010110?\nAnswer: 1011000100111101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 64353883.\nAnswer: 128707766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.12405m in kilometers?\nAnswer: 0.00712405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3 - 5112566*h**2*l**3 + 6*l**3 - 908067*l wrt h?\nAnswer: -3*h**2 - 10225132*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002266 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195628*b + 22 - 9 + 391247*b - 195621*b - 13.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -224, -0.06, 0.3, 2\/5, -0.2, -2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 0*k**2 - 2*k**2 + (2 - 2 - k)*(0*k + k + k) + (k - 7*k + k)*(-2*k + 3*k + k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(-3)\/(-11). Let p(m) = m**2 + 5*m. Let l be p(-5). Let g = 1 - 6. Which is the closest to l? (a) 2\/7 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiinnniitd. Give prob of sequence tii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 535*f**2 + 58*f + 5. List the prime factors of d(3).\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2, 61908, -1\/2, 5.\nAnswer: -1\/2, 1\/7, 2, 5, 61908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 - -66. Let i = f - -95. Suppose -2*s = s - i. Calculate the greatest common divisor of 76 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/960 - 13*a**5\/30 + 3535*a**4\/64 + 3675*a**3\/8 - 9*a**2 - 170*a. Find i such that c(i) = 0.\nAnswer: -2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-17))**(-1\/31))**(1\/16))**(1\/83) assuming b is positive.\nAnswer: b**(17\/41168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 32 = -0*l. Put -17, 3, l in decreasing order.\nAnswer: 3, l, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14*g**2. Let c(w) = -787*w**2. Calculate c(r(t)).\nAnswer: -154252*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 26*b**2 + 24*b + 6. Give u(-27).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -t - 0*t + 29, 0 = -4*t - 3*d + 78. Suppose 0 = 3*m - t - 114. Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1299663, -1299665, -1299667, -1299669, -1299671, -1299673?\n\"Answer: -2*u - 1299661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 7*m - 15. Solve 19 + 1 = -m*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let g(r) = r**2 - 672*r - 19. Determine g(f(q)).\nAnswer: q**4 - 672*q**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 6*f**2 - 4*f + 5. Let n(x) be the first derivative of -5*x**4\/4 + 4*x**3 + 4*x**2 - 11*x - 3. Let k(p) = -3*n(p) - 7*w(p). What is k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (290 - 6\/3)*8\/16. Suppose -l*r = -149*r + 10. List the prime factors of r\/(-6) - (2436\/(-18) + 6).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 3*i**2 + 4. Let y(l) = 2*l**3 + 3*l**2 - 3. Calculate -3*h(r) - 4*y(r).\nAnswer: r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 13328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/113 - -216\/565. Let j = 0.04 + -2.04. What is the fourth biggest value in j, 2, 1\/6, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*y - 2221, -y + 4*w + 735 = 6*w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 1:16 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77598 is divided by 8442.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43658*c - 7175 = 43833*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 105\/67, 1\/4, 8\/3, -6, -4\/7 in descending order.\nAnswer: 4, 8\/3, 105\/67, 1\/4, -4\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -13*v**2. Let r(j) = -4*j**2 + 2. Let f(h) = 9*h**2 - 5. Let w(b) = 2*f(b) + 5*r(b). What is q(w(m))?\nAnswer: -52*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1246 - 3c00?\nAnswer: -2998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20590, 41184, 61778, 82372, 102966, 123560?\n\"Answer: 20594*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -678366814 - -678366741.0996251. Let l = y + -1.0992951. Let i = -74 - l. What is i rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -9*t + 7*t, 0 = -2*i + 3*t - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l*r*s**3 + l*r*s**2 - 2*l*r - l*s**3 - 668*l - 2*r*s + 99*s**3 - 3*s wrt s?\nAnswer: 6*l*r - 6*l + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13390.098 - 13364. Let p = w + -0.098. Let y = -25.9999867 + p. What is y rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 115*d**3 + d**2 - 1. Let n(t) = t**3 + 3*t**2 + 2*t + 1. Let s be n(-2). Let o be l(s). Suppose 5*x - 6*i = -i + o, -3*x = -i - 73. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/36 + 26\/8. What is the greatest common factor of y and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 + b + 4. Calculate s(4).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:14 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30132253 divided by -13.\nAnswer: 30132253\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*k - 16, 0 = -k + 3*o + 6 + 2. Suppose 0 = 2*n + 7*l - k*l - 4, 5*n = -5*l + 10. Solve v + n = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9448 is divided by (-11 - -8) + 9 - (-168)\/8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000279 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372962131 to the power of 1\/2, to the nearest integer?\nAnswer: 37054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 177*k**2 - 689*k + 48. Calculate the remainder when o(173) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786 is divided by 937?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r + 6*r + 3*r)*(-1 + 3 - 3).\nAnswer: -r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(20\/(-42))*-1 and 71\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 3433685411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537669*l**3 - 1075532*l**3 + 537840*l**3.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2. Let c(u) be the first derivative of 0*u**3 - 11 + 0*u**3 + u**3. Calculate c(d(z)).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -22. Suppose 4*k + 0*r + 12 = r, -h = 3*k - r. Let s be (-1)\/(3\/k)*1. Do s and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = -20. Let p = 4 - w. Let x(z) = 2*z. Calculate x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 + 9*q**3 + 295 - 2*q**2 - 63*q**3 - 3*q**3 + 7*q**2.\nAnswer: -57*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 141. Let m = -53 + g. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 + 2.300000605. Round q to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(12)\/sqrt(4) - (sqrt(3) + 2 + -5)**2 - ((-4*sqrt(3)*4)**2 + -3*(sqrt(3) - -3*sqrt(3))).\nAnswer: -780 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*w - 104 + 118 = 0, 21 = 4*f - 3*w. What is the smallest common multiple of f and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7\/3)*(k*(k*k*k*k**(16\/3))\/k)\/k)\/(k**(2\/27)\/(k\/(k*k\/(k*k**(-11))))))**(-50) assuming k is positive.\nAnswer: k**(8200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + (-44)\/20)*5. Let i(f) = 6*f + 1. Let j(k) = -6*k - 1 - 3*k + 11*k - 7*k. What is d*i(o) + 5*j(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292275 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g**2. Let t(j) be the third derivative of j**4\/12 - 5*j**2. Calculate v(t(k)).\nAnswer: 52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9508 in 4, 2\/9, 0.07?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -305127 (base 12) in base 13?\nAnswer: -205a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 10*c + 2. Let r be q(5). Find the third derivative of 15*n**3 - 2*n**r + 13*n**2 + 10*n**3 wrt n.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 11\/4)\/((-2)\/8). Let h(r) be the first derivative of -1\/4*r**4 - 2*r**2 - 5*r - 2 + 2*r**y. Determine h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w - 12. Let s be w*63\/(-12)*3. Let k = s + -35. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -886*o - 444*o + 2321*o + 3943*o to the form x + w*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 123*d + 232. Give f(56).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93390 is divided by 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 42*y**2 - 8*y + 11. What is p(-21)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**6\/60 + q**5\/20 + q**4\/24 - q**3\/6 - 5*q. Factor k(l).\nAnswer: -l*(l - 2)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000401029 to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1665 = 335. What is the highest common factor of 38 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d = -54*d + 184*d - 1118 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -3*m**5\/20 + 3837*m**4\/4 - 4907523*m**3\/2 + 6276721917*m**2\/2 - 8027927331843*m\/4 + 6071. Factor h(c).\nAnswer: -3*(c - 1279)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39360 and 2586075.\nAnswer: 165508800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 + 2)*(g + 5*g - 5*g)*(-28 + 6 - 7).\nAnswer: -261*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -891239, -891225, -891211, -891197, -891183, -891169?\n\"Answer: 14*v - 891253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(64)\/sqrt(392))\/sqrt(4).\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3214926 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**12\/v)\/(v**(-1\/11)*v))\/(v**22\/(v*v*(v*v\/(v*v**(-7))*v*v*v)\/v*v)))**(-18) assuming v is positive.\nAnswer: v**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -147340.6406 and 0.\nAnswer: -147340.6406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2. Let p(b) = 439791*b. What is p(f(v))?\nAnswer: -1759164*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 3. Let l = q + 4. Let z = l + 2. Solve -m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*5\/((-100)\/16). Let z be 2 + (-4 - (-2 - c)). Sort 0, -3, z in descending order.\nAnswer: 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 62, 2, 0.2255, 0 in ascending order.\nAnswer: -1, 0, 0.2255, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, n: 2, s: 2}. Give prob of picking 1 s and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 - 6. Suppose 5*f = 4*f. Suppose -u = p - 5, 2*u - 3 - 7 = f. Give l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - (19 - 4)) + (22 - 43)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, s: 4, h: 2, c: 2, g: 1}. Give prob of sequence cssg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by -53.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2793 + 2849. Calculate the remainder when m is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from calie. Give prob of sequence le.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7 + 5*g + 8*g**2 - 17*g**2 + 11*g**2. Let p be y(-3). Solve 4*k = k - o - p, 0 = -4*k + 3*o - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1427*l - 268488 = -9563*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11621043.\nAnswer: 3, 7, 61487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkekqqqkkddekkkeek. What is prob of picking 2 d, 1 e, and 1 k?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 2*v - 2*b, 3*v + 4*b - 31 = 0. Suppose v*o = 6*o - 2. What is the third derivative of l**4 + l**4 - 3*l**2 + 3*l**4 - 8*l**o wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11\/8)*x*x**(1\/3)*x*x*x)\/(x**(-8)*x**(-4)*x) assuming x is positive.\nAnswer: x**(335\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25687900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -330, -704, -1064, -1404, -1718, -2000?\n\"Answer: d**3 + d**2 - 384*d + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {g: 2, t: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) + 3*sqrt(300) - sqrt(300)))**2 + (sqrt(147)*-1)**2)*3.\nAnswer: 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 442, -4 in descending order.\nAnswer: 442, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2524 and 64?\nAnswer: 40384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2955, -2896, -2835, -2772?\n\"Answer: s**2 + 56*s - 3012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 8) to base 5.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -52. Let w = x + 7. Let f be (4\/(-6))\/(13\/3). What is the biggest value in 5, 3, w, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14310 + 22363.\nAnswer: 36673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -336 + 463?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11546\/3? (a) 17 (b) -16 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*f - 233, m - 4*f = 93 + 11. List the prime factors of m\/6 - 3\/(-9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1926 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9 - -31) - (-9 - 3 - -72).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3)*b)**47)**22 assuming b is positive.\nAnswer: b**(-1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (2 - 13 - -17)) + -32 + -58?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -38, -59, -78, -95, -110?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 67*p - 10476. Find the first derivative of -292*s + p*s - 80 - 44 + 7*s**2 wrt s.\nAnswer: 14*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c = -54*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734852.\nAnswer: 2, 183713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3864 and 207120.\nAnswer: 33346320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239030 is divided by 59749.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/312 and 35\/12528?\nAnswer: 162864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1404086 or 1404090?\nAnswer: 1404086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/20)\/((-50)\/(-400)) + 66\/10. Solve 5*z + 22 = 4*o, -6*o - 4*z = -o - g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/21 - 70*w\/3 - 6032\/21 = 0.\nAnswer: -232, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*x + 1 = -3, 4*c + 5*x + 49 = 0. Let r(d) = 1549*d + 1532*d - 1 - 3083*d. What is r(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*p - 5*x, -4*p - 6*x + 4*x = -6*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25607 or 1498?\nAnswer: 1498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Let c = 31 - 28. Solve a*m + c = -22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o + 1. Let l be a(1). Suppose 10 + 20 = l*w. Solve 2 = -2*d - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/252616 and -19\/84.\nAnswer: 757848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*c + 6*c**2 + 209*c + 7*c**2 - 16*c**2.\nAnswer: -3*c**2 + 441*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9.3 (b) 1\/3 (c) 4.232 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*r + 224. Let q = r - 28. Suppose -3 + 1 = -b. What is the biggest value in b, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*w + 5479 + 8239 = -8630 - 10428 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5*949.9\nAnswer: 4749.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + -1. Suppose 6*y + 7 = 3*b + 7*y, -b - 2 = -4*y. Put b, -5, 5, f in decreasing order.\nAnswer: 5, b, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 12) in base 10?\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 134484600 to the nearest one million.\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 82 (c) 444\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 142?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 36*d**2 + 153*d - 2. Let f be v(-11). Let n(j) = -j - 22. Give n(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 148589?\nAnswer: 1337301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + v + 7 + 2 = 0, -9 = -3*v. Let d be ((-4)\/8 + 1)*72. Calculate the remainder when (832\/18 + (-8)\/d)*1 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -102 and 50?\nAnswer: -5100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*v - v**2 + 5*v + 13*v - 36*v**3 wrt v?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -834 + 1468. What are the prime factors of f?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*l - 87 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 c, 1 q, and 1 u when four letters picked without replacement from {z: 7, c: 4, q: 1, m: 1, u: 2}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 + f. Let s(m) = 3*m**3 + 2*m**2 - 5*m + 2. Suppose -3*g - 26 = -0*g - 4*n, -2*g = -3*n + 18. Let k(b) = g*p(b) - 3*s(b). Factor k(l).\nAnswer: -3*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 956 = -939*c + 22553 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63.4617345 + 65.46173. Let r = 7 + -9. Let b = r + a. Round b to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102102202021 - -1011101?\nAnswer: 102110220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 14 - 8)*(1674 - 1674 + 22*d) to the form z + g*d and give g.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*g + 6, 2*g - 5*m - 1 = -9. Let q = 0.06 + -6.06. Is q not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 2 - 5*j - 3. Let o be (-127890)\/(-567) + (-4)\/(-9). Let x = o + -227. What is b(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 1379 - 991 = 0. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*h**2*j**3 - h**2*j**2 - h**2*u - 11*h**2 - 155*h*j**2 + h*u + 913*j**3*u wrt j?\nAnswer: -150*h**2 + 5478*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1351 - -1356. Let h = 0.65 - 0.15. Which is the third smallest value? (a) -20 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-5.058\nAnswer: 15.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72656.\nAnswer: 2, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6*n + 48. Let v be ((-1)\/2)\/((-2)\/n). What is the second derivative of -4*g**4 + 7*g**3 - 7*g**v - 2*g wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*b = 313*b - 8964. Is 135 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16647, 66460, 149473, 265680, 415075, 597652?\n\"Answer: -w**3 + 16606*w**2 + 2*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*d - 547*d + 102951 = 1061*d for d.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 10675*g**2 + 32032*g + 21356.\nAnswer: -(g - 10678)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1515793494 - -3.9.\nAnswer: -1515793490.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-2)*z)\/z)**34*z**(-1\/11)\/z**5*(z*z**(-3\/2))\/z**5*z**(-1)\/((z*z\/(z*z**5)*z)\/z) assuming z is positive.\nAnswer: z**(-915\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/14 - 6) + 116\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3860000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 15*r + 9. Let a be o(17). Let g = 250 + a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63503 - -1?\nAnswer: 63504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*c**2 - 12*c - 32*c**2 + 12*c**2 to o*c + z*c**2 + f and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 213494340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19794*d**2 + 8*d**3 + 19794*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -19) + (-4 + -18 - -35).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*i = -0*p - 30, 0 = -4*p + 4*i - 32. Let a = -1 - 6. Let n(m) = m**2 + 8*m + 2. Let t be n(a). Put t, 2, p in descending order.\nAnswer: 2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -9)*-12*1\/(-3). Let v(j) be the second derivative of 0 - 8*j - 4\/3*j**n - 4\/3*j**3 + 9\/2*j**5 + 0*j**2. Factor v(t).\nAnswer: 2*t*(5*t - 2)*(9*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*39920.\nAnswer: -119760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + -0.01. Suppose 0 = z - 4*n - 27, 2*z = 4*n + n + 42. Suppose 3*g = -z - 1. Which is the closest to 1\/2? (a) 3\/5 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 0.5, -0.01, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22999, -22978, -22943, -22894, -22831, -22754?\nAnswer: -22663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -419276*n**5 + 3*n**3 + 2*n**2 + 36280*n wrt n.\nAnswer: -25156560*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/25)\/(12\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 751\/927 + -72\/103. Let u(k) be the second derivative of 0 - h*k**6 - 5\/12*k**2 + 13\/24*k**5 + 35\/36*k**3 - 25\/24*k**4 + 10*k. Factor u(p).\nAnswer: -5*(p - 1)**3*(4*p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1375\/78 + -1\/26. Is -18 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.2252033 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 32 = -5*u, 5*b + 177*u = 179*u + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123771, 247536, 371287, 495018, 618723?\nAnswer: 742396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(75) + sqrt(75)*-2) + (sqrt(80)\/(sqrt(4)*-2))**2.\nAnswer: -sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422 and 12449?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2)*0)\/1*37\/74.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 - -174. Let l = p + 27. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6.5. Let n = -2 - 2. Let j be -1*(-2)\/n - 0. What is the closest to j in -4, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 330\/133 + 41984\/1197. Factor -u*i**2 + 104\/9*i - 8\/9.\nAnswer: -2*(13*i - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -65. Suppose 0 = -i*o + 6*o + 393. Suppose o = 9*w - 85. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/561 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -9. Suppose -m - b = 2*m. Let l(g) = 3*g - 1. Let h be (3 - (0 - (-40)\/12))*6. Let v(q) = -3*q + 2. Determine h*v(k) + m*l(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/24 + l**3\/6 + 474*l**2. Let y(a) = -3*a + 7. Calculate -2*k(c) - y(c).\nAnswer: c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36241*a*i - 4*a + 116 wrt i?\nAnswer: 36241*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 > -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/4 - 3*j**3\/2 + 5*j**2 - 9*j. Let t(c) = -11*c + 17. Give 4*t(f) + 7*z(f).\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 6:51 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 12*q + 18. Suppose -2*y - 65 = -7*y. Let s be p(y). Solve -s*m = -4*d + 28, -5*d - 3*m = -3*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + y - 568 = 0, 3*b + 4*y + 588 = -b. Let s = 891 + b. What are the prime factors of s?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-572)\/(-195) - 3\/(-45). Let o = 8 + -3. Solve -s*k - 10 = o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 5*o - 1)*(-7 + 7 - o) - 5*o + 2*o**2 + 5*o)*(2*o - o + 4*o) in the form f*o + m*o**2 + h + q*o**3 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4664071 is divided by 67595.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 77*v**2 + 162*v + 17. Let p be r(-2). Sort -3, p, 142.\nAnswer: -3, p, 142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcct when four letters picked without replacement from {c: 3, h: 1, t: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 5*w + 4. Let v be (1 + 5)*(-2)\/(-6). Let g be c(v). Suppose -4*n - 456 = -4*h, 6*n = g*n + 20. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**5 + 1185*v**4 + 92350*v**3 + 2260000*v**2 - 8640000*v - 25600000 = 0.\nAnswer: -80, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 144637.2774ns?\nAnswer: 0.0000000002391489375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 5*a**2 + a**3 - 1 + a - 2*a - 3*a to the form x*a**3 + n*a**2 + v*a + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = c - 6*l + l, 6 = 2*l. Suppose c = -2*q - q + 387. Suppose -3*j = 3*w - j - q, 2*w + j - 87 = 0. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13052 - -13051.6. What is the second smallest value in k, -44, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 40306, -19\/3 in descending order.\nAnswer: 40306, 11, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -84. Let v = b + -27. Calculate the remainder when 22 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -13.8. What is the closest to u in -4, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2460 (b) 2 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmwm when four letters picked without replacement from wmwmwmm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3321 - 3218. What is the remainder when t is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7373, 7760, 8061, 8276, 8405, 8448, 8405?\nAnswer: 8276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 8*z - 21 = -5*f, -5*z = -f + 33. Let m(s) = -s**3 + 5*s**2 + 19*s + 6. Is m(z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 26*j - 151. What is f(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4660 - -8362. Suppose 0 = 5*j + r - 3718, -5*j - r = 8*r - w. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b269 - -3?\nAnswer: -4b266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2805*w + 2805*w - 96*w**2 - w**3 + (8 - 4 + 0)*(3*w**3 - w**3 + 0*w**3) as v*w**3 + g*w + t + h*w**2 and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 + -111001001001?\nAnswer: -111010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/14*1 + 3653073\/189 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1573) + -1 + sqrt(1573) + sqrt(1872)*1 - (sqrt(1053) + 1 + 0)) + -1)**2 + -2).\nAnswer: -16264 + 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 161\/308 + (-243)\/891. Let h = -0.1 + 0.1. Sort 2, -7, h, p in descending order.\nAnswer: 2, p, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2142 and -61\/2100?\nAnswer: 107100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -25 + 1\/5*m**5 - 4\/3*m**3 - m + 0*m**2 + 1\/3*m**4. Let j(d) = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -v - 2*v - 72, -v = -u + 23. Let y = v + 38. Let c(a) = a**2 + 113*a - 5354. Calculate the lowest common multiple of y and c(36).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 - 58*o**5 + 2*o**4 + 589*o**2 - 20 + 14 + 6 wrt o.\nAnswer: -3480*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -4 (b) 0.1 (c) -8.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 824503.28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (38 - (15 + -11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t. Let j be (-1)\/((-2)\/4*8\/644). Suppose 0 = 5*m - 1266 + j. Let o(i) = -219*i**2 + 3*i - 3*i + m*i**2. Determine z(o(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z - 3*z + 2*z)*(-1 + 2 - 2) - 3*z - 2*z + 2*z)*(4 + 0 - 1).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7130 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a - 12\/5*a**2 + 3\/5*a**3 - 6\/5 = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17273)\/22530*(-8)\/(-46)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 2:21 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2044*c**3 - 8*c**2 + 4*c + 7. Give v(-1).\nAnswer: -2049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -314*r + 13185. What is a(42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 y, and 1 v when four letters picked without replacement from cyvruyvfcvfrycvyffyr.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 31 = 6*w - 5*z, -5*z - 37 = -4*w. Which is the smallest value? (a) -1\/4 (b) w (c) -0.2 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, 1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 6 = 2*m - 0*n, m - 3 = 2*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1027*m - 9144. Let i be x(9). Solve 480 = -i*u + 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*1\/15*39. Let i(v) = -v**3 + 12*v**2 + 13*v - 7. Let n be i(s). Let p be (0 - 0)*n\/(-14). Solve -c + 6*c + 20 = p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 3*n**5\/10 + n**3\/2 + 3*n**2 - 6*n. Let j = -91 + 85. Let r(y) = -y**2 - 2 - 2*y**3 - y + y**2. Give j*k(b) - 17*r(b).\nAnswer: -2*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8376751 is divided by 1178?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 17*c + 16 = 0. Suppose -4*b + 6*b = 12. Suppose 0 = b*f - 3*f + o - 5, -2*f + 4*o - 20 = 0. Solve c*v + f*v = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - (sqrt(91) + ((sqrt(91)*-1 - sqrt(91))*-4 - sqrt(91)))) + sqrt(91))\/(sqrt(7) + 2*sqrt(1008) + sqrt(7)))**2.\nAnswer: 25\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 17*v - 85*v + 32*v + 25*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1427, 5521, 16749, 38705, 74983, 129177, 204881, 305689?\nAnswer: 435195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7.68210172 - 0.059\nAnswer: -7.74110172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*v - 0*f + 22, 0 = 5*f + 10. Suppose -v*s + r + 597 = 0, 2*r + 138 = s + 4*r. What is the least common multiple of 10 and s?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 5*v**6\/6 - 5*v**4 + 10*v**3\/3 + 15*v**2\/2 - 10*v + 78. Factor w(x).\nAnswer: 5*(x - 1)**3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/28 - 0) + -1. Which is the nearest to -0.1? (a) 0.5 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -57*m**6 - 5*m**3 - 14*m**2 - 2. Let v(q) = -56*q**6 - 6*q**3 - 15*q**2 - 2. Let z(j) = -6*c(j) + 5*v(j). What is the third derivative of z(a) wrt a?\nAnswer: 7440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*v - 3276 + 3476 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*-2 + (-5 - -2). Sort 3, 2, -2, d.\nAnswer: d, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*n**3 - f*n**2*q - 42640012*f*n*q - 2*n**3*q + 170*n**3 - n*q + 2*n - 51*q - 92 wrt f.\nAnswer: n**3 - n**2*q - 42640012*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Suppose -r + 2*r - 3 = m*i, 3 = r + i. Find the second derivative of 2*d + 0*d**3 - r*d**3 + d**3 wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, w: 1, o: 8, i: 1, q: 1}. What is prob of picking 1 o, 1 i, and 1 q?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*z - 6*z - 9, -4*k + 10 = -2*z. Is k bigger than -1\/274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:20 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o - 15 = 0. Suppose -132*q + 137*q + 2*h - 14 = 0, 0 = 3*q + h - 9. Suppose w + o = q*w. Solve -2*c - 2 = 0, 3*r + 2*c + w = c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217 - -616. Suppose -5*b - u = -8*b. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -10, 1, 4 in decreasing order.\nAnswer: 4, 1, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13 - 5 = 0. Let p = j + 19. Let m = -19 + p. Solve m*f + 3*t + 7 = -1, t = 5*f - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/9 in 0, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2992\/(-180)*10\/(-124). Let j = -2\/279 + q. What is the common denominator of j and 7\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 61*a**2 - 716*a + 14. What is the remainder when v(12) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 6 - (-64 + 67).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 30. Let y be k(16). Suppose 2*h - 747 = -h - 3*f, -y*f + 1242 = 5*h. Suppose 11*r = h + 379. Calculate the remainder when r is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495581 is divided by 453.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -725.513 + 726. Let k = 5.513 + v. Let q = -0.6 + 0.3. Which is the closest to -2? (a) k (b) q (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/7 + 69*d**2\/7 - 4*d\/7 - 276\/7 = 0.\nAnswer: -69, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 5 - -10 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, -5, -3\/7, 0.4, 1\/3, -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 94*f - 174. Does 12 divide y(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/12, 34, 5, -35\/3, -54 in decreasing order.\nAnswer: 34, 5, -5\/12, -35\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1313127*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 2. Let h be g(10). Suppose -3*o - 20 = -h*o. Suppose -249 = -o*x + 15. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuff when four letters picked without replacement from jfuxfxpjo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**3\/6 + 8*r. Let s(y) = -5*y**2 + 3*y**2 + 3*y**2. What is t(s(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41648 or -41646?\nAnswer: -41648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -593*c**6\/30 - 118*c**3\/3 + 232*c - 2. What is the second derivative of w(j) wrt j?\nAnswer: -7116*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 9*t + 30 = 0. Suppose -498 = 11*n + 822. Let w = t - n. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:45 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 69?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -82. Let l = -10 + r. Let b(f) = f**3 + 5*f**2 - 9*f - 8. What is the remainder when 11 is divided by b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6693 divided by 183.\nAnswer: 2231\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-15 - -62) + -29\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t = -b - 20*t - 24, 3*b + 5*t - 28 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 200102121122?\nAnswer: -200102121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by (-2 + 1 + -30)\/((-124)\/124).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 721\/24141 or -1?\nAnswer: 721\/24141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(54\/(-14))*42\/49?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(60\/(-21))*(-38)\/399*39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2844 divide 35912213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46060297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 11*q + 2*q + 10*q - 14*q**3 to c*q + r*q**3 + b*q**2 + g and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c - 3*g - 53, -4*c - 5*c - 11 = -4*c - 2*g - 98 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y**2 + 8*y**2 - 6*y**3 + 5*y**2.\nAnswer: -6*y**3 + 57*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 10) to base 16\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 101376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = y. What is the smallest common multiple of (-49)\/y + 3\/(-12) and (-5)\/((-15)\/(-6)) - -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*t**4 - 17*t + 3*t + 69*t**4 + 0*t wrt t.\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 51 - 2*f + 21.\nAnswer: -2*f + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 18*a + 46. Let i(f) = -3*f**3 - f**2 + 2*f. What is the lowest common multiple of i(-2) and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 270471 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-14 - (-2 + -15 + 9)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 + 7582688*x + 37913340 = 0. Calculate x.\nAnswer: -1895667, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 83 - 11. Let m be -4*(38\/h - 1). Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.29 or -2\/57?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39506 + 13*z - 39506.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-432))\/(66\/(-27))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/18 + 2\/(-4). Suppose -5*z - 6*z = 0. Put -4, l, z, -3 in decreasing order.\nAnswer: l, z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 13. What is the remainder when 118 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3)*29\/(2465\/(-204))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmjmmmmjmm. Give prob of picking 1 j and 1 m.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d**2*j**2*y**2 + 2*d**2*j**2*y - 16*d**2*y**3 + 92*d*j**2*y**3 + 4*j**2*y**2 + 17 wrt y?\nAnswer: -96*d**2 + 552*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 73b (base 13) to base 9\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19698?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2.5. Let k be ((-48)\/(-60))\/(2\/170). Let n = k + -72. Sort v, -1\/6, n.\nAnswer: n, v, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(28\/(-56)). Sort -1, 4, w, 16 in ascending order.\nAnswer: w, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*l - 4*x, -27*l - x + 69 = -32*l. What is the third smallest value in -1, -4\/9, l?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:35 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*g + 5 = 2*j, -5*j - 5*g = 0. What is the tens digit of -2*(j + -4)*(-537)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361 times -17\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-829*n**2 + 279*n**2 + 2 + 403*n**2 + 357*n**2) as o*n + t*n**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2099\/3 - 904684\/1293. Is y less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -38.7. Let z = -3 - c. What is the second smallest value in z, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24968 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58367 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 222, -48, -318, -588, -858?\n\"Answer: -270*k + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*i**2 - d*i*w**3 - 14*d*i*w - d*i + 21*d*w**3 - 497*i**3 - 231*i**2*w**3 + 3*i*w**3 + 2*w**3 wrt i.\nAnswer: 2*d - 2982*i - 462*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 80*b - 46*b - 37*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 84152*u**2 + 1682198*u - 1766352 = 0 for u.\nAnswer: -42056, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - (50875\/(-45))\/11. Suppose d*u - 99*u - 2488 = 0. What is the remainder when u is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007300001 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 10. Let o = 1\/31 + -67\/155. Which is the nearest to 1\/2? (a) 1 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q - 4. Let y(c) = -6*c + 5. Let x = 2 - -1. Calculate x*h(u) + 2*y(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - (7 + (-31 - -4) + 36).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h = 44*h - 77. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*c = -8, 4 = -5*c + c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 449 + -447. Suppose -3*y = 4*r + 11, 15 = 4*y - r - u. Solve 0 = -y*i + 9 - 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:07 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-9)*(-162)\/96. Let s = 6 + -3. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (6*(-1 + sqrt(700) + 3 + sqrt(700)) + 5*(sqrt(700) - (1 + sqrt(700))) + -2*sqrt(700)*-1)*4)**2.\nAnswer: 28000*sqrt(7) + 2195825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 11 = -482*d + 477*d, 3*d - 36 = 8*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3977044 to the nearest integer?\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 2 + 2)*(-326 + 174 - 144) - 2*y + 4*y - 3*y + (-3 - 1 + 3)*(4*y + 0*y - 5*y) - 2 + 2 + 2*y - 2*y + 3*y + 0*y in the form q*y + d and give q.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8246.249km to meters.\nAnswer: 8246249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -61 (b) -2\/3 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1305957ns to microseconds.\nAnswer: 0.0001305957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 15 + 10 + 288*o**3 + 9.\nAnswer: 288*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3 - 10004016*p**2 - 37975651*p wrt p?\nAnswer: 12*p - 20008032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 103 + 121 = 0. Let k be q\/(630\/351) + 8. What is the fourth smallest value in k, -0.5, -8, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) + (-224)\/462?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10789621267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6111743.612 rounded to the nearest 1000?\nAnswer: -6112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -11 - (0 - -18)) + (558 - 606)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.448 * -475.\nAnswer: 1162.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19ba (base 16) to base 6\nAnswer: -50254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-20)*8\/28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 3\/2*c**2 - 3 - 2*c. Differentiate z(b) with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100606629 to the nearest integer?\nAnswer: 10030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11936.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9511624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 4*z - 2. Let h be i(5). Suppose h*n - 23 = -y, -2*n + 4*y + 20 = 2*n. Suppose n*b - 10 = 2*b. Solve 3*u - 2 = -2*d, -3*u - b = d + 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 6*i**2 - 5*i + 1. Let y be k(-4). Let z = -39 - y. Let w = z - -75. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081682 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*r - 96*l**3 - 16*l**2*r**2 - l**2 - 158*l*r**2 - 50 wrt l.\nAnswer: 6*l*r - 576*l - 32*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159057 = -4609*f - 84520 + 13127 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.8372ug in grams?\nAnswer: 0.0003058372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlollolx. Give prob of picking 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 + 0*r**2)*(8*r + 51 - 51)*(-6*r + 0*r + 3*r).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 29 = 181. What is the remainder when 136 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421452.753 rounded to the nearest 10?\nAnswer: -421450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158\/2*4*306\/24 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/4 (b) -1 (c) 6\/11 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10922703 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 2*n + 3*n)*(0*n**2 - n**2 + 0*n**2) + (19 - 101*n - 19)*(-2172*n + 2182*n - n**2 + 3*n**2) to p*n**2 + q + k*n**3 + h*n and give k.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/5 + 4*b**4\/5 - 4*b**3\/5 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 381 + -1?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 25. What is q(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -336 + 314 - -2*11. Let l(z) = z**2 - 10*z + 11. Let v be l(9). Solve a = v*r + 3 + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (459\/(-60))\/((-2)\/(-4) - -1). Let v = t - -28\/5. Factor 0 + v*x**2 - 1\/4*x - 1\/4*x**3.\nAnswer: -x*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1 (b) 2\/6033 (c) 0.1 (d) 108 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1558 divide 22767054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7665.78 greater than -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 2*s - 8 = 0, -4*q = -2*s - 20. Which is the fourth biggest value? (a) 3\/5 (b) q (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 51*c**2 + 194*c - 2139. Give b(48).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 1\/6*o**4 + 2*o + 0 + 0*o**2 + 1\/3*o**3. Find the second derivative of z(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1219 = 4*k - b, 4*k - 1307 = -2*b - 97. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341010322 (base 6) in base 8?\nAnswer: 27532312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1235*i**2. Let q(d) = -d**2. Give k(q(u)).\nAnswer: -1235*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 337, 327, 313, 295, 273?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a*c**2 - 1091*a*c - 81*a - 9443793*c**2 + 16*c + 2 wrt c?\nAnswer: 14*a - 18887586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 1, 3*m + 165 = 3*s. Suppose 0 = -5*g - 4*r + 224, 5*g - 2*r - s = 4*g. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 0*w**4 - 5*w**4 + (0 + 4 - 5)*(2*w**4 + 0*w + 0*w) + w**2 - 2*w**4 - w**2 + w**2 - w**2 - 2*w**4.\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 0.3 (c) 17 (d) -2.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 1, -483 in decreasing order.\nAnswer: 4, 1, -4, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 0 - (10 + -1)\/(-3). Calculate the smallest common multiple of ((-15)\/(-20))\/((i\/(-4))\/1) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(2\/11)*n**(1\/7)\/n*((n**1*n)\/n)**(1\/22)*(n**(2\/15)*n**(3\/4)\/n)**(-6) assuming n is positive.\nAnswer: n**(412\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**2 + 11*p - 26. Let v be c(-5). What is the greatest common factor of 33969 and v?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f\/(f\/(f*f**8)*f*f)))**(-49)*(f\/(f\/(((f**7\/f)\/f*f)\/f))*f**(1\/7)\/f)\/(f**5\/((f\/(f\/(f\/(f\/f**4)))*f)\/f)) assuming f is positive.\nAnswer: f**(2766\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001 (base 2) in base 16?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -55, -165, -381, -739, -1275?\n\"Answer: -6*n**3 + n**2 - n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -845457*v**3 - 425*v**2 + 440 wrt v.\nAnswer: -5072742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/3 - 408*y + 2424 = 0. Calculate y.\nAnswer: 6, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.81 - 5.81. Which is the closest to 3? (a) q (b) -0.3 (c) -4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 27*u + 56.\nAnswer: -(u - 2)*(u + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -128122, -3, 3, 5, -8 in descending order.\nAnswer: 5, 3, -3, -8, -128122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Suppose 2*i = 0, -2*k - 27 = -5*k + 4*i. Suppose 0 = -4*v + 7 + k. Which is the biggest value? (a) -2\/7 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.4, -2\/3749, 0.07 in decreasing order.\nAnswer: 20, 0.07, -2\/3749, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1133 - -2.1133. Which is the nearest to 14? (a) 0.6 (b) -3\/8 (c) 0.3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1241)\/(-219) - (-8)\/(-3). Let f(t) = -t - 3*t**2 + 0*t**3 + 0*t**3 + t**3 + 3. What is f(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -20102002220212102?\nAnswer: 20102002220212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -986*o**2 + 867*o?\nAnswer: -1972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxkkkxkkqkxkq. Give prob of picking 3 k and 1 q.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-9)\/(-36)*-4. Solve 1\/7 - 3\/7*g**5 - 2*g**3 - 6\/7*g**n - 11\/7*g**4 + 1\/7*g = 0 for g.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((323\/(-19))\/136)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxgp when four letters picked without replacement from ppkgpppkkkpkkpkkkx?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -511 - -1092. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -535*s + 5351. Let q be z(10). Sort -24, 34, q in decreasing order.\nAnswer: 34, q, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n - 361*m - 107 - 120 = -362*m, -41 = 4*n - 3*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 1, j: 4, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*((-58)\/(-116) - (-2 + (1 - -7))). Which is smaller: s or 1.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g*g**(-1)*g))\/(g\/(g*g*g**(2\/7)*g))*g\/(g*g**(-2\/3)*g)*g\/(g**(-4\/9)\/g*g))\/((g\/(g**0*g))**(-15\/8)*g*(g**3\/g)\/g*g**(-6)) assuming g is positive.\nAnswer: g**(340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 + 4 = 0. Let w be 28\/6 + g\/(-3). Solve 15 = -w*q - 0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-316)\/(-10) - (-14)\/35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1352 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*z**2 + 4*z**3 + 725*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**(-29)*j**(-3)\/((j\/(j*(j**(-5\/3)*j)\/j))\/j*j) assuming j is positive.\nAnswer: j**(-143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1979 + 1981. Solve 5*y = -x*u + 23, -2*y + 2*u + 30 - 18 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1570574824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 + 36 + 30*o - 73 + ((o - 1 + 1)*(0 + 1 - 3) - 4*o + 2*o + o)*(2 - 2 - 2).\nAnswer: 36*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 119*h - 2483. Let l be r(-27). Solve 3*g + o = 56 - 67, -3*g + o = l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}